DOSEN PROFIL LENGKAP

Hopf is a German surname. Notable people with the surname include: Eberhard Hopf (1902–1983), Austrian mathematician Hans Hopf (1916–1993), German tenor...

In differential topology, the Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space)...

In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra and a (counital coassociative)...

The Hopf theorem (named after Heinz Hopf) is a statement in differential topology, saying that the topological degree is the only homotopy invariant of...

In complex geometry, a Hopf manifold (Hopf 1948) is obtained as a quotient of the complex vector space (with zero deleted) ( C n ∖ 0 ) {\displaystyle...

mathematics, the Poincaré–Hopf theorem (also known as the Poincaré–Hopf index formula, Poincaré–Hopf index theorem, or Hopf index theorem) is an important...

In geometry, the Killing–Hopf theorem states that complete connected Riemannian manifolds of constant curvature are isometric to a quotient of a sphere...

mathematics, Hopf conjecture may refer to one of several conjectural statements from differential geometry and topology attributed to Heinz Hopf. The Hopf conjecture...

In the mathematics of dynamical systems and differential equations, a Hopf bifurcation is said to occur when varying a parameter of the system causes the...

Heinz Hopf (19 November 1894 – 3 June 1971) was a German mathematician who worked on the fields of dynamical systems, topology and geometry. Hopf was born...

The Hopf–Rinow theorem is a set of statements about the geodesic completeness of Riemannian manifolds. It is named after Heinz Hopf and his student Willi...

the Hopf invariant is a homotopy invariant of certain maps between n-spheres. In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map η...

The Heinz Hopf Prize is awarded every two years at ETH Zurich. The prize honours outstanding scientific work in the field of pure mathematics. It is named...

In complex geometry, a Hopf surface is a compact complex surface obtained as a quotient of the complex vector space (with zero deleted) C 2 ∖ { 0 } {\displaystyle...

In mathematical knot theory, the Hopf link is the simplest nontrivial link with more than one component. It consists of two circles linked together exactly...

Eberhard Frederich Ferdinand Hopf (April 4, 1902 in Salzburg, Austria-Hungary – July 24, 1983 in Bloomington, Indiana, USA) was a German mathematician...

The Hopf maximum principle is a maximum principle in the theory of second order elliptic partial differential equations and has been described as the "classic...

89–90) introduced an example of an infinite-dimensional Hopf algebra, and Sweedler's Hopf algebra H4 is a certain 4-dimensional quotient of it that...

The Cole–Hopf transformation is a change of variables that allows to transform a special kind of parabolic partial differential equations (PDEs) with a...

In mathematics, the Hopf lemma, named after Eberhard Hopf, states that if a continuous real-valued function in a domain in Euclidean space with sufficiently...

Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method...

Per Johannes Hopf (born 16 June 1987) is a Swedish former professional footballer who played as a goalkeeper. He played professionally in Sweden with Hammarby...

the theory of Hopf algebras, a Hopf algebroid is a generalisation of weak Hopf algebras, certain skew Hopf algebras and commutative Hopf k-algebroids....

Heinz Willy Gustav Hopf (11 November 1934 – 23 January 2001) was a Swedish actor. He was born in Stockholm but moved to Lund where he studied medicine...

In algebraic topology, the Hopf construction constructs a map from the join X ∗ Y {\displaystyle X*Y} of two spaces X {\displaystyle X} and Y {\displaystyle...

mathematics, the group Hopf algebra of a given group is a certain construct related to the symmetries of group actions. Deformations of group Hopf algebras are...

Hans Hopf (August 2, 1916, Nuremberg – June 25, 1993, Munich) was a German operatic tenor, one of the leading heldentenors of the immediate postwar period...

In algebra, a Taft Hopf algebra is a Hopf algebra introduced by Earl Taft (1971) that is neither commutative nor cocommutative and has an antipode of large...

Eduard Hopf (10 January 1901 – 19 November 1973) was a German painter. His work was part of the painting event in the art competition at the 1928 Summer...

In mathematics, the Hopf decomposition, named after Eberhard Hopf, gives a canonical decomposition of a measure space (X, μ) with respect to an invertible...

path-connected H-space with finitely generated and free cohomology groups is a Hopf algebra. Also, one can define the Pontryagin product on the homology groups...

name "quantum double" come from the Drinfeld double of a finite groups and Hopf algebras. The most well-known example is the toric code model, which is a...

In quantum group and Hopf algebra, the bicrossed product is a process to create new Hopf algebras from the given ones. It's motivated by the Zappa–Szép...

These include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras), compact matrix quantum groups (which are structures on unital...

In mathematics, especially algebraic topology and homotopy theory, the Hopf–Whitney theorem is a result relating the homotopy classes between a CW complex...

Theodore Hopf (born 1959) is an American academic and a leading figure in constructivism in international relations theory. He was a Provost Chair Professor...

Karl Hopf (26 March 1863 – 23 March 1914) was a German serial killer. He was sentenced to death by a Frankfurt jury on 19 January 1914 for the murder of...

783–796. doi:10.1038/nrg2664. PMID 19834483. S2CID 771357. Bernstein, H.; Hopf, F. A.; Michod, R. E. (1987). "The Molecular Basis of the Evolution of Sex"...

giving the 3-sphere the structure of a principal circle bundle known as the Hopf bundle. If one thinks of S3 as a subset of C2, the action is given by ( z...

Annie Stebler-Hopf (4 September 1861 – 30 January 1918), also known as Anny Hopf or Anna Hopf, was a Swiss painter. She trained in Basel, Berlin, and...

Ludwig Hopf (23 October 1884 in Nürnberg, Germany – 23 December 1939 in Dublin) was a German-Jewish theoretical physicist who made contributions to mathematics...

Pitchfork bifurcation Period-doubling (flip) bifurcation Hopf bifurcation Neimark–Sacker (secondary Hopf) bifurcation Global bifurcations occur when "larger"...

quasi-Hopf algebra is a generalization of a Hopf algebra, which was defined by the Ukrainian mathematician Vladimir Drinfeld in 1989. A quasi-Hopf algebra...

Karl Hopf may refer to: Karl Hopf (historian) Karl Hopf (serial killer) This disambiguation page lists articles about people with the same name. If an...

representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field...

In mathematics, a Hopf algebra, H, is quasitriangular if there exists an invertible element, R, of H ⊗ H {\displaystyle H\otimes H} such that R   Δ ( x...

In physics, the Einstein–Hopf drag (named after Albert Einstein and Ludwig Hopf) is a velocity-dependent drag force upon charged particles that are being...

Maria Hopf (13 September 1913 – 24 August 2008) was a pioneering archaeobotanist, based at the RGZM, Mainz. Hopf studied botany from 1941–44, receiving...

deformed but always conserves an integer Hopf topological invariant. It is named after the German mathematician, Heinz Hopf. A model that supports hopfions was...

In mathematics, a shuffle algebra is a Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢...

simple for values n {\displaystyle n} ≤ 4 {\displaystyle 4} . There are four Hopf fibrations of hyperspheres: S 0 ↪ S 1 → S 1 , S 1 ↪ S 3 → S 2 , S 3 ↪ S 7...

Ernest Hopf (1910 - 1999) was a German-American artist known for his silk screen prints. Hopf was born February 2, 1910 in Germany. In 1935, he married...

first interesting example is the group π3(S2) which is generated by the Hopf fibration. The problem of computing the groups πn+k(Sn) for positive k is...

solvability of statistical mechanical models. He also generalized Hopf algebras to quasi-Hopf algebras and introduced the study of Drinfeld twists, which can...

circle/ Hopf circle/ fold cycle supercritical Andronov-Hopf Hopf/ circle Hopf/ homoclinic Hopf/ Hopf Hopf/ fold cycle subcritical Andronov-Hopf subHopf/ circle...

In algebra, the Malvenuto–Poirier–Reutenauer Hopf algebra of permutations or MPR Hopf algebra is a Hopf algebra with a basis of all elements of all the...

results in algebra and category theory, notably for his theory of braided Hopf algebras and for a new view of the octonions. Although many regard Majid...

In quantum group, Hopf algebra and weak Hopf algebra, the Doi-Hopf module is a crucial construction that has many applications. It's named after Japanese...

In mathematics, a braided Hopf algebra is a Hopf algebra in a braided monoidal category. The most common braided Hopf algebras are objects in a Yetter–Drinfeld...

the pseudonym Alex Fridolinski, and starring Christina Lindberg and Heinz Hopf. It tells the story of a mute young woman who is forced into heroin addiction...

algebra over a field has a further structure of a Hopf algebra; in this case, it is thus called a group Hopf algebra. The apparatus of group rings is especially...

Karl Hopf (February 19, 1832, in Hamm, Westphalia – August 23, 1873, in Wiesbaden) or Carl Hermann Friedrich Johann Hopf was a historian and an expert...

crossings (the Hopf link [1]). Patching the trefoil P() = A × P() + P() gives the unknot and, again, the Hopf link. Patching the Hopf link P() = A × P()...

are all zero. A stronger form of the theorem, also known as the Lefschetz–Hopf theorem, states that, if f {\displaystyle f} has only finitely many fixed...

{\displaystyle T_{p}M} , the entire tangent space at p {\displaystyle p} . The Hopf–Rinow theorem gives alternative characterizations of completeness. Let (...

them as "Hopf monads", while in works of Bruguières and Virelizier they are called "bimonads", by analogy to "bialgebra", reserving the term "Hopf monad"...

Memorable skateboarders such as Dylan Rieder and Kenny Hopf have performed at the venue, with Hopf filming a video there during the COVID-19-lockdown in...

spirit, weak Hopf algebras are weak bialgebras together with a linear map S satisfying specific conditions; they are generalizations of Hopf algebras. These...

doi:10.1093/aob/mcae044. PMC 11161571. PMID 38497809. Bernstein H, Byerly HC, Hopf FA, Michod RE (September 1985). "Genetic damage, mutation, and the evolution...

Hopf bifurcation, the limit cycle should have size ∝ ε 1 / 2 , {\displaystyle \propto \varepsilon ^{1/2},} we may attempt to convert this to a Hopf bifurcation...

economies across Eurasia. As originally defined by Daniel Zohary and Maria Hopf, they consisted of three cereals (emmer wheat, einkorn wheat, and barley)...

article. Bialgebras can often be extended to Hopf algebras, if an appropriate antipode can be found; thus, all Hopf algebras are examples of bialgebras. Similar...

cocommutative Hopf algebra A over a field of characteristic zero with dim ⁡ A n < ∞ {\displaystyle \dim A_{n}<\infty } for all n, the natural Hopf algebra homomorphism...

equivalent to the representation category of some weak Hopf algebra. Adding more structures onto the weak Hopf algebras corresponds to adding more structures...

categories, Hopf algebroids etc. Ross Street, Brian Day, "Quantum categories, star autonomy, and quantum groupoids", in "Galois Theory, Hopf Algebras, and...

Hopf Bifurcation...

yields a bialgebra, and can be extended by giving an antipode to create a Hopf algebra structure. Note: In this article, all algebras are assumed to be...

In physics, the Landau–Hopf theory of turbulence, named for Lev Landau and Eberhard Hopf, was until the mid-1970s,[clarification needed] the accepted...

This latter pentagonal symmetry of the 600-cell is captured by the set of Hopf coordinates (𝜉i, 𝜂, 𝜉j) given as: ({<10}⁠𝜋/5⁠, {≤5}⁠𝜋/10⁠, {<10}⁠𝜋/5⁠)...

long before their introduction into cultivation", according to Zohary and Hopf. Although they point to finds of pears in sites in Neolithic and Bronze Age...

g., semisimple complex Lie group), then the coordinate ring of G is the Hopf algebra A corresponding to G. Many structures of G translate to those of...

Alice Lightner Hopf (1904–1988) was an American writer who wrote young adult science fiction under the name of A. M. Lightner and youth nature books under...

contributions of historian and professor Carl Hermann Friedrich Johann Hopf (1832–1873). Hopf's publications, particularly "Urkunden und Zusätze zur Geschichte...

Genet. 10 (11): 783–796. doi:10.1038/nrg2664. PMID 19834483. Bernstein H, Hopf FA, Michod RE (1987). "The Molecular Basis of the Evolution of Sex". Molecular...

importance of the fixed-point index is largely due to its role in the Lefschetz–Hopf theorem, which states: ∑ x ∈ F i x ( f ) i n d ( f , x ) = Λ f , {\displaystyle...

zeroes and poles in the right half plane (RHP). This is called the Wiener–Hopf factorization. Divide S x , s ( s ) e α s {\displaystyle S_{x,s}(s)e^{\alpha...

Department, University of California. Retrieved 7 December 2023. Zohary D, Hopf M (2000). Domestication of Plants in the Old World (Third ed.). Oxford, UK:...

vector space (with the braiding often induced by a finite group) is a braided Hopf algebra which is denoted by B ( V ) {\displaystyle {\mathfrak {B}}(V)} and...

structure of a Z2-graded Hopf algebra. Likewise the representations of this Hopf algebra turn out to be Z2-graded comodules. This Hopf algebra gives the global...

coproduct and a bilinear form making it into a positive selfadjoint graded Hopf algebra that is both commutative and cocommutative. The study of symmetric...

Eisenbud–Levine–Khimshiashvili signature formula gives a way of computing the Poincaré–Hopf index of a real, analytic vector field at an algebraically isolated singularity...

mathematician specializing in abstract algebra. He is the namesake of the Taft Hopf algebra which he introduced in a 1971 publication, and he was the founding...

transformation semigroups, ring theory, and Hopf algebra,[A][B] including the proof of the Nichols–Zoeller freeness theorem in Hopf algebra.[A] With her husband, Thomas...

In algebra, the Pareigis Hopf algebra is the Hopf algebra over a field k whose left comodules are essentially the same as complexes over k, in the sense...

each other naturally due to the Hopf fibration.[failed verification] The collective of edges forms another discrete Hopf fibration of 12 rings with 10 vertices...

defined by George W. Whitehead (1942), extending a construction of Heinz Hopf (1935). Whitehead's original homomorphism is defined geometrically, and gives...

directed by Arne Sucksdorff, starring Tomas Bolme, Anders Henrikson, Heinz Hopf and Björn Gustafson. It tells the story of a troubled 16-year-old boy who...

elements of a Hopf algebra do form a group. A primitive element is an element x that satisfies Δ(x) = x ⊗ 1 + 1 ⊗ x. The primitive elements of a Hopf algebra...

1086/386552. PMID 15266388. S2CID 15042207. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (1985). "Sex and the emergence of species"...

the Carathéodory–Fréchet extension theorem, the Carathéodory–Hopf extension theorem, the Hopf extension theorem and the Hahn–Kolmogorov extension theorem...

April 1942, in Brooklyn) is an American mathematician, known for Sweedler's Hopf algebra, Sweedler's notation, measuring coalgebras, and his proof, with Harry...

Hopf algebra ( A , ∇ , η , Δ , ε , S , R , ν ) {\displaystyle (A,\nabla ,\eta ,\Delta ,\varepsilon ,S,{\mathcal {R}},\nu )} is a quasitriangular Hopf...

is important in a certain noncommutative Galois theory, which generates Hopf algebroids in place of the more classical Galois groups, whereas the notion...

self-injective, thus not Frobenius. Any finite-dimensional Hopf algebra, by a 1969 theorem of Larson-Sweedler on Hopf modules and integrals. The direct product and...

Italian). Archived from the original on 11 May 2024. Retrieved 12 May 2024. Hopf-Sulc, Adrian (8 May 2024). "Ideenlabor Brainstore in Biel – Wie Nemos Eltern...

current research interests concern noncommutative algebras: in particular, Hopf algebras, their structure and representations, and their actions on other...

their sycamore trees.[why?] According to botanists Daniel Zohary and Maria Hopf, cultivation of this species was "almost exclusively" by the ancient Egyptians...

Oxford University Press.[ISBN missing] Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (20 September 1985). "Genetic Damage, Mutation...

beginning with Supercritical All pages with titles containing Supercritical Hopf bifurcation, in mathematics, a local bifurcation; when the first Lyapunov...

In mathematical analysis, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral...

under and over each other. This contrasts with two crossings in the simpler Hopf link. In most artistic representations, the parts of the loops that alternately...

operation. They were introduced by J. Frank Adams (1960) in his solution to the Hopf invariant problem. Similarly, one can define tertiary cohomology operations...

Collection. Christina Lindberg ... Lena Svensson (as Cristina Lindberg) Heinz Hopf... Helge Björn Adelly ... Jan, Lena's boyfriend Siv Ericks ... Jan's Mother...

Lie algebras and Malcev groups are both equivalent to complete Hopf algebras, i.e., Hopf algebras H endowed with a filtration so that H is isomorphic to...

whether these were domesticated or wild forms of B. vulgaris. Zohary and Hopf note that beetroot is "linguistically well identified". They state the earliest...

kernel. Example: the Hopf fibration. Let B equal S 2 {\displaystyle S^{2}} and E equal S 3 . {\displaystyle S^{3}.} Let p be the Hopf fibration, which has...

presented at a congress in 1891. Hopf fibration Toric section Vesica piscis Coxeter 1969. Hirsch 2002. Dorst 2019, §6. Hopf Fibration and Stereographic Projection...

in symplectic geometry. The concept is due to Charles Ehresmann and Heinz Hopf in the 1940s. Let M be a smooth manifold. An almost complex structure J on...

Affine symmetric group, a braid group on an annulus Artin–Tits group Braided Hopf algebra Braided monoidal category Braided vector space Knot theory Non-commutative...

studied there under Heinz Hopf, obtaining his Ph.D. in 1941. His dissertation, on homotopy theory, was jointly supervised by Heinz Hopf and Ferdinand Gonseth...

convolution of distributions is again a distribution and thus they form the Hopf algebra on G, denoted by Dist(G), which contains the Lie algebra Lie(G) associated...

the Hopf algebras of functions. A finite commutative group scheme over a field corresponds to a finite dimensional commutative cocommutative Hopf algebra...

93A. doi:10.1126/science.aan0032. PMID 28684525. S2CID 19943904. Zohary & Hopf 2000, p. 46 Weide, Alexander (21 June 2015). "On the Identification of Domesticated...

geometry He received his Ph.D. degree under the supervision of Hopf and George Pólya. Hopf later recommended Stoker to Richard Courant. In 1937 Stoker,...

In representation theory, a Yangian is an infinite-dimensional Hopf algebra, a type of a quantum group. Yangians first appeared in physics in the work...

Sakuntabhai A, MacSween R, et al. (February 2003). "Acrokeratosis verruciformis of Hopf is caused by mutation in ATP2A2: evidence that it is allelic to Darier's...

Gugelhupf (also Kugelhupf, Guglhupf, Gugelhopf, pronounced [ˈɡuːɡl̩.hʊp͡f, -hɔp͡f, ˈkuːɡl̩-], in Czech bábovka [ˈbaːbofka], and, in France, kouglof [kuɡlɔf]...

This link cobordism between the Hopf link and the unlink is topologically a pair of pants....

at the University of Greifswald. He retired in 1972. The Hopf–Rinow theorem is named after Hopf and Rinow. In 1959, he became the director of the Institute...

In 2004, he and Uwe Abresch extended the classical Hopf differential, discovered by Heinz Hopf in the 1950s, from the setting of surfaces in three-dimensional...

the Gay-Lussac Humboldt Prize, and he is the recipient of the 2011 Heinz Hopf Prize. In 1994, he was an Invited Speaker (with talk Non-Archimedean period...

corresponding to a 1-parameter group of automorphisms σt of A = L∞(X,μ), then by the Hopf decomposition either every St with t ≠ 0 is dissipative or every St with...

kingdom (PDF). London: John Murray. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (20 September 1985). "Genetic Damage, Mutation...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

}{1-\alpha }}} At that critical value of the parameter K, the system undergoes a Hopf bifurcation. It comes as counterintuitive (hence the term 'paradox') because...

4D rotations, an even more useful coordinate system for 4D is provided by Hopf coordinates {ξ1, η, ξ2}, which are a set of three angular coordinates specifying...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

no archival evidence that Voisava was part of the Brankovic family. Karl Hopf (1832–1873), a German historian and expert in Byzantine studies, in Chroniques...

PMID 2185476. Birdsell & Wills 2003, pp. 113–117 Bernstein H, Byerly HC, Hopf FA, Michod RE. Genetic damage, mutation, and the evolution of sex. Science...

is the terminal object in category of graded Hopf algebras with a single character. Hence any such Hopf algebra has a morphism to the ring of quasisymmetric...

cohomologous to a Lie bialgebra on a coboundary. They are also called Poisson-Hopf algebras, and are the Lie algebra of a Poisson–Lie group. Lie bialgebras...

intersection of algebraic topology and algebraic geometry, there is the notion of a Hopf algebroid which encodes the information of a presheaf of groupoids whose...

to the circular fibers of a Hopf fibration SU(2) → S2. As such, the Berger metrics can also be constructed via the Hopf fibration, by scaling the tangent...

University in Toronto, Canada in 2013. Her thesis was titled "Combinatorial Hopf algebras and supercharacters." Benedetti researches combinatorial objects...

{\displaystyle \operatorname {diam} (M,d_{g})=\sup\{d_{g}(p,q):p,q\in M\}.} The Hopf–Rinow theorem shows that if ( M , d g ) {\displaystyle (M,d_{g})} is complete...

Muzaka Condisa Muzaka Muzaka family Principality of Muzaka Elsie 2003, p. 42. Hopf 1873, p. 532. Elsie 2003, p. 47. Anamali 2002, p. 295. Anamali, Skënder (2002)...

antipode of a Hopf algebra can be expressed in terms of structure constants. The connecting axiom, which defines a consistency condition on the Hopf algebra...

original (PDF) on 2016-02-07. Retrieved 2012-03-23. Daniel Zohary; Maria Hopf (2000). Domestication of Plants in the Old World (3rd ed.). Oxford University...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

foxtail millet; wild or weedy forms of foxtail millet also exist. Zohary and Hopf note that the primary difference between the wild and cultivated forms is...

coefficients from integers to the rational numbers. To any group ring or Hopf algebra is associated its representation ring or "Green ring". The representation...

John Moore, was titled The cohomology of restricted Lie algebras and of Hopf algebras: Application to the Steenrod algebra. From 1964 to 1967, May taught...

there must be at least one zero. This is a consequence of the Poincaré–Hopf theorem. In the case of the torus, the Euler characteristic is 0; and it...

on the occasion of the re-appointment of Hermann Weyl, Schur says of Hopf: Hopf is a very excellent teacher, a mathematician of strong temperament and...

Retrieved 11 January 2026. from Old High German, from ein one + korn grain Hopf, M.; Zohary, Daniel (2000). Domestication of Plants in the Old World: The...

a group of isometries of the 3-sphere. The conjecture was posed by Heinz Hopf in 1926 after determining the fundamental groups of three-dimensional spherical...

noncommutative Hopf algebra which is cocommutative, meaning its comultiplication is cocommutative. This implies if we take the dual Hopf algebra, denoted...

{\displaystyle p} , the Steenrod algebra A p {\displaystyle A_{p}} is the graded Hopf algebra over the field F p {\displaystyle \mathbb {F} _{p}} of order p {\displaystyle...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

from one fixed point to three fixed points. Pitchfork bifurcations, like Hopf bifurcations, have two types – supercritical and subcritical. In continuous...

2014. Retrieved 19 August 2014. McKinnon Riehm & Hoffman 2011, p. 212 H. Hopf. Proceedings of the International Congress of Mathematicians 1958. Archived...

involution (see Milne's lecture notes on abelian varieties). Involutive Hopf algebras are important examples of *-algebras (with the additional structure...

the equivalence of these four properties is given in the article on the Hopf decomposition. Suppose that μ ( X ) < ∞ {\displaystyle \mu (X)<\infty } and...

several branches of mathematics, including a list of ten conjectures on Hopf algebras. They are usually known as Kaplansky's conjectures. Let K be a field...

although this minimizing sequence need not converge to a geodesic. The metric Hopf-Rinow theorem provides situations where a length space is automatically a...

a Lie algebra, both of which are also cocommutative Hopf algebras. In general cocommutative Hopf algebras behave very much like groups. For simplicity...

made a breakthrough in solving the KPZ equation by an extension of the Cole–Hopf transformation and constructing approximations using Feynman diagrams. In...

"Scherenschnitte and Fraktur." Pennsylvania Folklife 37.4 (Summer 1988): 190–192. Hopf, Claudia. Papercutting: Tips, Tools, and Techniques for Learning the Craft...

the space of all continuous mappings with the compact-open topology. The Hopf fibration S 1 → S 3 → S 2 {\displaystyle S^{1}\to S^{3}\to S^{2}} is a non-trivial...

have started". The Washington Post. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; Michod, Richard A.; Vemulapalli, G. Krishna (1983). "The Darwinian...

p. 495. Hopf 1873, p. 535. Sainty 2018, p. 494-495. Fine 1994, p. 556. Elsie 2003, p. 43. Elsie 2003, p. 44. Slijepčević 1983, p. 40. Hopf 1873, p. 534-535...

during which Werner Hopf, a 30-year-old electronics engineer from the Stanford Research Institute, fell and was seriously injured. Hopf died despite the...

Technology (ETH Zurich) in 1928. He received his Ph.D. in 1935 under Heinz Hopf; his dissertation was titled "Richtungsfelder und Fernparallelismus in n-dimensionalen...

pre-pottery Neolithic levels of the Nahal Hemar caves in Israel. Zohary and Hopf speculate, "these finds indicate that the wild colocynth was very probably...

Henry C. Wente (1986). It is a counterexample to the conjecture of Heinz Hopf that every closed, compact, constant-mean-curvature surface is a sphere (though...

(graded commutator if C is graded). If A is a connected graded cocommutative Hopf algebra over a field of characteristic zero, then the Milnor–Moore theorem...

University Press. p. 149. ISBN 978-0-19-537222-9. Murawski 2010, p. 209. Hopf, Eberhard (1939). "Statistik der geodätischen Linien in Mannigfaltigkeiten...

can be regarded as a family of circles parametrized by CPn: this is the Hopf fibration. Complex projective space carries a (Kähler) metric, called the...

long time. Later, at the University of Munich, Sommerfeld's students Ludwig Hopf and Werner Heisenberg would write their Ph.D. theses on this topic. For his...

question of whether it has a complex structure is known as the Hopf problem, after Heinz Hopf.) Using an almost complex structure we can make sense of holomorphic...

inédits relatifs à l'histoire de la Grèce au moyen âge, IX (Paris), p. 159 Hopf, Carlo, ed. (1873). "Breve Memoria de li Discendenti de Nostra Casa Musachi"...

Cremer [de] Werner Fenchel Hans Freudenthal Maximilian Herzberger Heinz Hopf Rudolf Kochendörffer Willi Rinow Kurt Schröder[de] Wilhelm Süss Johann Friedrich...

is the dual vector space. The Hopf algebras associated to groups have a commutative algebra structure, and so general Hopf algebras are known as quantum...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Opera house and orchestra Label 1954 Elisabeth Grümmer, Rita Streich, Hans Hopf, Kurt Böhme Wilhelm Furtwängler, Vienna Philharmonic and Vienna State Opera...

Mathematics at Ben-Gurion University of the Negev whose main areas of research are Hopf algebras, quantum groups and Noncommutative rings. Miriam Cohen (née Hirsch)...

imaging system. Strehl ratio Hopf, Johannes. "Kurt Hopf – Astronomie – Karl Strehl Strehlwert Definitionshelligkeit". www.kurt-hopf.de. Archived from the original...

1111/j.1365-2583.2009.00948.x. PMID 20167026. S2CID 11617147. Bernstein, H.; Hopf, F. A.; Michod, R. E. (1987). "The Molecular Basis of the Evolution of Sex"...

ceremony. Her son Sean Hepburn Ferrer accepted the award on her behalf. Werner Hopf Jones died four months after the Academy voted to confer this award, but...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

viscous Burgers' equation can be converted to a linear equation by the Cole–Hopf transformation, u ( x , t ) = − 2 ν ∂ ∂ x ln ⁡ φ ( x , t ) , {\displaystyle...

Kingdon Clifford and is closely related to Clifford parallelism and the Hopf fibration. A flat 2-torus admits no C2 (in particular, no smooth) isometric...

Canada (ed. 2) i–910. New York Botanical Garden, Bronx. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World. Oxford...

Bergman Prize from the American Mathematical Society in 2015, and the Heinz Hopf Prize from ETH in 2021. Demailly was elected a correspondent of the French...

1086/386552. PMID 15266388. S2CID 15042207. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (1985). "Sex and the emergence of species"...

Bochner Alfred Brauer Richard Brauer Lothar Collatz Alexander Dinghas Michael Golomb Guido Hoheisel Eberhard Hopf Heinz Hopf Martin Kneser Wilhelm Specht...

applied. C() = C() + z C() gives the unknot and the Hopf link. Applying the relation to the Hopf link where indicated, C() = C() + z C() gives a link...

for example by the Soviet physicist Lev Landau, who developed the Landau-Hopf theory of turbulence. David Ruelle and Floris Takens later predicted, against...

subgroups. The notion is dual to that of a Hopfian group, named after Heinz Hopf. A group G is called co-Hopfian if whenever φ : G → G {\displaystyle \varphi...

I Supposed to Believe That? Directed by Marran Gosov Written by Florian Hopf Klaus Lemke Marran Gosov Produced by Felix Hock Horst Wendlandt Starring...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

A quasi-triangular quasi-Hopf algebra is a specialized form of a quasi-Hopf algebra defined by the Ukrainian mathematician Vladimir Drinfeld in 1989. It...

of the variables. Another example shows how a center manifold models the Hopf bifurcation that occurs for parameter a ≈ 4 {\displaystyle a\approx 4} in...

which it is linearly unstable. The corresponding bifurcation may be either a Hopf bifurcation to a globally oscillating homogeneous state with a dominant wave...

quantization Landau theory Landau–Squire jet Landau–Levich problem Landau–Hopf theory of turbulence Ginzburg–Landau theory Darrieus–Landau instability Landau–Lifshitz...

Andhra Pradesh. In the past, he held the position of Head of Police Force (HoPF) Andhra Pradesh Police from 6 May 2024 through 19 June 2024. Harish Kumar...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

geometry) Hilbert's theorem (differential geometry) Hopf–Rinow theorem (differential geometry) Killing–Hopf theorem (Riemannian geometry) Lee Hwa Chung theorem...

in the books of Morrey and Smoller, following the original statement of Hopf (1927): Let M be an open subset of Euclidean space ℝn. For each i and j between...

C. A. Wunderlich. Violinzithers have been manufactured luthier C. Robert Hopf since the 1920s. Bowed psaltery D.R.G.M Patent No. 903152 Mühlemann, Lorenz...

career Country Indian Police Service Department Director General of Police, HoPF, Former Intelligence Chief, Telangana State - 2014-2016 and 2023-present...

Freeman and Company. ISBN 0-7167-1766-2 Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; et al. (June 1983). "The Darwinian Dynamic". The Quarterly...

Laboratory. Archived from the original on 2009-03-12. Bernstein H, Byerly HC, Hopf FA, Michod RE. Genetic damage, mutation, and the evolution of sex. Science...

commonly referred to as the Hopf fibration of S3, a topological construction pointed out by Heinz Hopf (1931). But Hopf’s procedure was explicitly based...

(1977). "Solutions of the Maxwell and Yang–Mills equations associated with Hopf fibrings". International Journal of Theoretical Physics. 16 (9): 561–565...

John II Crispo his heir and successor. Some historians, following Karl Hopf's genealogical tables in his Chroniques gréco-romanes inédites ou peu connues...

with no singularities comes from considering the flow along the lines of a Hopf fibration. Let r {\textstyle r} be a constant radius of the inner coil. One...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

In mathematics, a quantum affine algebra (or affine quantum group) is a Hopf algebra that is a q-deformation of the universal enveloping algebra of an...

Samantha; Ferrari, Carlotta; Suarez, Guillaume; Sauvain, Jean-Jacques; Hopf, Nancy B. (2016). "Locating bomb factories by detecting hydrogen peroxide"...

used as a bifurcation parameter, then the Hodgkin–Huxley model undergoes a Hopf bifurcation. As with most neuronal models, increasing the injected current...

doi:10.1126/science.1143153. PMID 17656687. S2CID 45853624. Bernstein H, Hopf FA, Michod RE (1987). "The Molecular Basis of the Evolution of Sex". Molecular...

Eberhard Hopf, Heinz Hopf, Herman Müntz, Wilhelm Meyer, and Abraham Plessner. Some emigrated to the United States, others to European countries; Heinz Hopf spent...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

showing that the renormalization of Feynman diagrams can be described by a Hopf algebra. Combinatorial physics can be characterized by the use of algebraic...

comultiplications that turn them into Hopf algebras. This is made precise in the article on the tensor algebra: the tensor algebra has a Hopf algebra structure on it...

Centennial Planetarium 1970 R. Hopf...

fibered manifolds are a special case, is attributed to Herbert Seifert, Heinz Hopf, Jacques Feldbau, Whitney, Norman Steenrod, Charles Ehresmann, Jean-Pierre...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

of Uppsala in 2017. In 2013 Eliashberg shared with Helmut Hofer the Heinz Hopf Prize from the ETH, Zurich, for their pioneering research in symplectic topology...

he was involved in the Tiepolo conspiracy of 1310. Hazlitt 1860, p. 454. Hopf 1856, p. 101. Hazlitt 1860, pp. 454–455. Hazlitt, W. Carew (1860). The Venetian...

 5367–5368. Butz 2007, pp. 534–553. Stover & Simmonds 1987, pp. 106–126. Zohary & Hopf 2000, pp. 20–22. Floros, Newsome & Fisher 2010. Schoening 2005. Acharya &...

manifold that is compact but not complete, a combination of properties that the Hopf–Rinow theorem disallows for Riemannian manifolds. Causality conditions Globally...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Library of Medicine. 1 August 2020. Retrieved 11 May 2024. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

(1999) pointed out that the Butcher group is the group of characters of the Hopf algebra of rooted trees that had arisen independently in their own work on...

work was later put into the setting of a boundary value problem by Eberhard Hopf. A breakthrough came with work of Vladimir Scheffer in the 1970s. He showed...

topological construction based on Clifford parallel pointed out by Heinz Hopf (1931) The lines on 1 in elliptic space are described by versors with a fixed...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

nontrivial example of a link with more than one component is called the Hopf link, which consists of two circles (or unknots) linked together once. The...

others for $23 million". Market Screener. 2015-01-05. Retrieved 2026-01-12. Hopf, Engelbert. "Balu Balakrishnan: »Mit 70 sollte man es als CEO gut sein lassen«"...

Ottoman Conquest. University of Michigan Press. ISBN 978-0-4720-8260-5. Hopf, Karl (1873). Chroniques greco-romanes inedites ou peu connues [Unpublished...

took his place. Following the departure of Anderson, Kilmister bought a Hopf Studio bass off Hawkwind synth player Del Dettmar. He used Rickenbacker basses...

{\displaystyle d_{k}:E_{p,q}^{k}\to E_{p-k,q-1+k}^{k}} . Recall that the Hopf fibration is given by S 1 ↪ S 3 → S 2 {\displaystyle S^{1}\hookrightarrow...

with his thesis Stabilitätswechsel und globale Hopf-Verzweigung (Stability transformation and global Hopf bifurcation), written under the direction of Willi...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Michel Barbaza, David Geddes, Jean-Louis Vernet, Miguel Llongueras & Maria Hopf (1982). "Prehistoric Human Adaptations in Catalonia (Spain)", Journal of...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Zero fret on a Hopf Saturn 63 electric guitar....

between entropy generation and the robustness of biological systems. The Hopf decomposition states that dynamical systems can be decomposed into a conservative...

note 78 cf Longnon (1969), pp. 238–239, basing himself on the works of Karl Hopf Louise Buenger Robbert, Venice and the Crusades in A History of the Crusades...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

accidentally confuse bitter vetch with red lentils. According to Zohary and Hopf, this crop is consumed only by the poorest people or in times of famine....

November 2024. "Cydonia oblonga Quince". Plants For A Future. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

Drabeck) The boy treble The mother mezzo-soprano The teacher baritone Otto Hopf First student treble or tenor Second student treble or tenor Third student...

algebra, noncommutative algebraic geometry, symmetry in quantum mechanics, Hopf algebras, and quantum groups. She is a full professor at Rice University...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

original on 25 December 2018. Retrieved 14 February 2017. 1913, poisoner Karl Hopf, arsenic in champagne, FAZ from June 24, 2017 Sudholt, Eva (2023-05-20)....

Arianiti family Fine 1994, p. 599. Elsie 2003, p. 43. Sainty 2018, p. 495. Hopf 1873, p. 534-535. Fine 1994, p. 556. Fine 1994, p. 561 & 599. Sainty 2018...

free group on n generators, and is used in classifying Brunnian links. The Hopf link is a simple example of a link with two components that is not an unlink...

with glyphosate-containing herbicides considered effective. Zohary and Hopf note that the archaeological evidence for the ancient cultivation of the...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

A = B, the measuring coalgebra has a natural structure of a Hopf algebra, called the Hopf algebra of the algebra A. Hazewinkel, Michiel; Gubareni, Nadiya;...

irregularity q is 1, and h1,0 = 0. All plurigenera are 0. Hodge diamond: Hopf surfaces are quotients of C2−(0,0) by a discrete group G acting freely, and...

General Carlsson Rosie Jauckens as Fru Carlsson Lenore Zann as Viveka Heinz Hopf as David Mark Dowling as Silenski Pontus Platin as Sandberg Olle Björling...

Bibcode:2009Natur.457..843P. doi:10.1038/nature07895. PMID 19212403. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). "Cereals". Domestication of Plants in the Old...

the Davis Mountains and the Marathon Basin, Texas", p. 111 Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

records 51418, 57909. Hopf 1856, p. 103. Hopf 1856, p. 104. Hopf 1856, p. 105. Hopf 1856, p. 106. Hopf 1856, p. 107. Hopf 1856, p. 108. Hopf, Carlo (1856). Dissertazione...

respect to this partial order. (See also poset topology.) Alexandrov and Hopf first introduced the grid cell topology, for the two-dimensional case, within...

geodesic flow on Riemannian manifolds, starting with the results of Eberhard Hopf for Riemann surfaces of negative curvature. Markov chains form a common context...

2009, p. 167. Fine 1994, p. 371. Elsie 2003, p. 52. Sainty 2018, p. 503. Hopf 1873, p. 532. Ersch 1868, p. 41. Šufflay 2012, p. 173. Elsie, Robert (2003)...

anime Shuffle (dominoes), to mix the tiles in dominoes Shuffle algebra, a Hopf algebra with a basis corresponding to words on some set whose product is...

J} is the connect-sum of a non-trivial knot K ′ {\displaystyle K'} with a Hopf link. If the link K ′ ∪ J {\displaystyle K'\cup J} is the Whitehead link...

T. Checkel Martha Finnemore Ernst B. Haas Peter M. Haas Ian Hacking Ted Hopf Peter J. Katzenstein Margaret Keck Judith Kelley Friedrich Kratochwil Richard...

from the original on 30 May 2004. Retrieved 17 May 2020. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

each other, and their great polygons collectively constitute a discrete Hopf fibration of 4 non-intersecting great circles which visit all 24 vertices...

Williams, Harris Bernstein, Carol Bernstein, Michael M. Cox, Frederic A. Hopf and Richard E. Michod – have suggested competing explanations for how a vast...

National Laboratory Review, Charles Butcher in The Chemical Engineer, Henning Hopf in Angewandte Chemie, George Morton in The Book Report, Arlene Perly Rae...

Wiener process Generalized Wiener process Wiener sausage Wiener series Wiener–Hopf method Wiener–Ikehara theorem Wiener–Khinchin theorem Wiener–Kolmogorov prediction...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

role and this led Heinz Hopf to find an effective method for calculating it. The method in (Hopf 1942) is also known as Hopf's integral homology formula...

Nonfiction". The New York Times. November 26, 2023. Retrieved November 28, 2024. Hopf, Andrew (November 20, 2023). "An Index of Everything (and Everyone) Mentioned...

group Hall algebra Hecke algebra of a locally compact group Heyting algebra Hopf algebra Hurwitz algebra Hypercomplex algebra Incidence algebra Iwahori–Hecke...

cohomology essentially appeared in works of Heinz Hopf and Egbert van Kampen on obstructions. Hopf invented an obstruction to homotopy (and homotopy classification)...

ISBN 978-3-662-46220-1. Weierstrass eta-function Böhm, Gabriella (2019). Hopf algebras and their generalizations from a category theoretical point of view...

{\displaystyle x\in G} . Strictly speaking, this does not make C(G) into a Hopf algebra, unless G is finite. On the other hand, a finite-dimensional representation...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

[citation needed] The symmetric algebra can be given the structure of a Hopf algebra. See Tensor algebra for details. The symmetric algebra S(V) is the...

structure. Lie bialgebra: a Lie algebra with a compatible bialgebra structure. Hopf algebra: a bialgebra with a connection axiom (antipode). Clifford algebra:...

In mathematics, an exp algebra is a Hopf algebra Exp(G) constructed from an abelian group G, and is the universal ring R such that there is an exponential...

celery accompanies buffalo wings and similar dishes. Daniel Zohary and Maria Hopf note that celery leaves and inflorescences were part of the garlands found...

uranium would be used at least 60 times more efficiently than today. James Hopf, a nuclear engineer writing for American Energy Independence in 2004, believes...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

introduction to quaternions to elucidate the Hopf fibration as a mapping on unit quaternions. He writes "the fibers of the Hopf map are circles in S3 ". Versors have...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Research by the American Mathematical Society. In 2009 he received the Heinz Hopf Prize from ETH Zurich. In 2012, he became a fellow of the American Mathematical...

Championship Forfeited Palla Dapples Winner (8 times) Top goalscorer League: All: Pietro Lana Carlo Hopf Luigi Forlano (2) Home colours ← 1906–07 1908–09 →...

Schollin Marika Lindström Stefan Ekman Bertil Norström Lena Endre Heinz Hopf Willie Andréason Johan Hedenberg Composer Anders Neglin Country of origin...

comultiplication, counit, and antipode structures in the Hopf algebra. The unit and multiplication structures in the Hopf algebra are intrinsic to the underlying scheme...

Grids on SO(3) Using the Hopf Fibration". The International Journal of Robotics Research. 29 (7). Section 8 — Derivation of Hopf parametrisation. Bibcode:2010IJRR...

Papers". Archived from the original on 1 August 2020.. Poincaré–Andronov–Hopf bifurcation Poincaré complex – an abstraction of the singular chain complex...

considered in the literature. Another explanation is that speed wobble is a Hopf bifurcation, a mathematical phenomenon in which a stable fixed point of a...

555–564. doi:10.1002/ajim.20481. PMID 17516558. Ward EM, Schulte PA, Straif K, Hopf NB, Caldwell JC, Carreón T, DeMarini DM, Fowler BA, Goldstein BD, Hemminki...

House of Kastrioti Padiglione 1879, p. 26. Mansueto & Calogero 2007, p. 81. Hopf 1873, p. 533. Padiglione 1879, p. 25. Padiglione 1879, p. 27. Padiglione...

Bibcode:1993Hered..71..456C. doi:10.1038/hdy.1993.163. Bernstein H, Byerly HC, Hopf FA, Michod RE (September 1985). "Genetic damage, mutation, and the evolution...

Bibcode:2021QSRv..25306781D. doi:10.1016/j.quascirev.2020.106781. Adeleye MA, Hopf F, Haberle SG, Stannard GL, Mcwethy DB, Harris S, Bowman DM (15 November...

has a natural structure of a Hopf algebra, with a coproduct Δ. The ring S used above is just a completion of this Hopf algebra. A related combinatoric...

Director General of Police (DGP), who serves as the head of the police force (HoPF). The remaining DG-ranked officers in a state or UT may be appointed to various...

Claude Chevalley, can be defined as the group of complex characters of the Hopf algebra of representative functions, i.e. the matrix coefficients of finite-dimensional...

is that it allowed the understanding of monopole quantization in terms of Hopf fibrations. Equivalences between fiber bundle theory and gauge theory were...

free product of the link groups of the components. The link group of the Hopf link, the simplest non-trivial link – two circles, linked once – is the free...

land-mass, is seldom found in natural stands there today. Zohary, Daniel; Hopf, Maria (2000). Domestication of plants in the old world: the origin and spread...

Examples of limit cycles branching from fixed points near Hopf bifurcation. Trajectories in red, stable structures in dark blue, unstable structures in...

Archived from the original on 2021-12-06. Massimiliano Rizzato, Michael Hopf (2023-03-13). "Towards FRMCS in Switzerland". globalrailwayreview.com. "Private...

Gustavus died of epilepsy on 9 January 1641, at 8 years of age. Georg Wilhelm Hopf: Bayerische Geschichte in Zeittafeln, Schmid, 1865, S. 134 Carl Eduard Vehse:...

German academic publisher founded in 1980. Its managing director is Wilhelm Hopf. Its principal place of publication is Münster; further publishing offices...

example: The unknot, trefoil knot, and figure-eight knot are fibered knots. The Hopf link is a fibered link. The Alexander polynomial of a fibered knot is monic...

1002/cber.18720050209. Barbara M. Scholz-Böttcher; Müfit Bahadir; Henning Hopf (1992). "The Beilstein Test: An Unintentional Dioxin Source in Analytical...

visited the University of Paris. He completed his thesis work with Heinz Hopf at Berlin, defended a thesis on the ends of topological groups in 1930, and...

1994: Variations on a Theme of Euler: Quadratic Forms, Elliptic Curves and Hopf Maps. Plenum. 1994. ISBN 9780306447891. 2008: Gauss sums and Poincaré sums...

Göttingen, where topologists such as Pavel Sergeevich Alexandrov and Heinz Hopf were working. In 1930 he received his doctorate with his work on three-dimensional...

102.6600D. doi:10.1073/pnas.0502030102. PMC 1131873. PMID 15851674. Hopf, F. A.; Hopf, F. W. (1985). "The role of the Allee effect on species packing"....

constructivist IR scholars include Michael Barnett, Martha Finnemore, Ted Hopf, Peter Katzenstein, Kathryn Sikkink, and Alexander Wendt. Post-structuralist...

C {\displaystyle \mathbb {C} } ) into the category of finite dimensional Hopf algebras, so that the Pontryagin duality functor G ↦ G ^ {\displaystyle G\mapsto...

de li discendenti de nostra casa Musachi. The work was published in Karl Hopf's Chroniques gréco-romaines, Paris 1873, pp. 270–340. According to his memoirs...

Magistralrezeptur (in German). Springer. p. 349. ISBN 978-3-540-67174-9. Bantscheff M, Hopf C, Savitski MM, Dittmann A, Grandi P, Michon AM, et al. (March 2011). "Chemoproteomics...

Tanusio was mentioned as Count of Mat (conte di Matia). According to Karl Hopf, Tanusio's son or brother Andrea I, as told by Gjon Muzaka (fl. 1510), had...

Harder, N.; Hartmann, D.; Helander, P.; Heinemann, B.; Hirsch, M.; Höfel, U.; Hopf, C.; Ida, K.; Isobe, M.; Jakubowski, M. W.; Kazakov, Y. O.; Killer, C.; Klinger...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Surface Class Surface Charts n-spheres n-sphere Sn Hopf chart Hyperspherical coordinates Sphere S2 Spherical coordinates Stereographic chart Central projection...

for example by the Soviet physicist Lev Landau who developed the Landau-Hopf theory of turbulence. David Ruelle and Floris Takens later predicted, against...

is found in a truly wild state only in northern India ... Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of plants in the old world: The...

categories used by the arXiv, and is a unification of algebraic deformations, Hopf algebras, category theory, topology, noncommutative geometry, and quantum...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

(1st ed.). New York: Dodd, Mead. Flora of North America Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Corporation. April 19, 1999. Retrieved January 27, 2009. Daniel Zohary; Maria Hopf & Ehud Weiss (2012). Domestication of Plants in the Old World: The Origin...

American Society of Agronomy. p. 765. ISBN 978-0-89118-091-3. Zohary, Daniel; Hopf, Maria (2000). Domestication of Old World plants: the origin and spread of...

Decapitation by guillotine An expensive cigar and a cup of Brazilian coffee. Karl Hopf Serial murder 1914 Decapitation by guillotine Sausages, bread and beer. Mathias...

from the original on 29 September 2016. Retrieved 30 August 2019. Zohary D, Hopf M, Weiss E (1 March 2012). Domestication of Plants in the Old World: The...

x_{0}:=v-\lambda p_{0}} is the minimizer in the primal formulation and vice versa. By Hopf–Lax formula, the Moreau envelope is a viscosity solution to a Hamilton–Jacobi...

Sam Cook as Supt. Ray Cooper Terrence Hardiman as Dr. Paul Crossland Heinz Hopf as Carlos Christine McKenna as Vicky Moore Cyd Hayman as Child Psychologist...

(1999-04-05). "Paroniria and medical nightmares". SFGATE. Mathias B, Schutte M, Hopf G. (31 December 1987). "Adverse effects of antihistaminics". Zeitschrift...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

bronze-coloured specialty), and Andechser. Regional brands in Bavaria are Hopf, Unertl, Ayinger, Schweiger and Plank. Aventinus is an example of Weizen...

Foundation, Wageningen; Backhuys, Leiden; CTA, Wageningen. Zohary, Daniel; Hopf, Maria (2000). Domestication of plants in the Old World (Third ed.). Oxford:...

doi:10.1142/S0129167X94000048. Kuperberg, Greg (1996). "Non-involutory Hopf algebras and 3-manifold invariants". Duke Mathematical Journal. 84: 83–129...

General of Police (DGP), who is designated as the Head of Police Force (HoPF). The DGP may be assisted by special and additional DGPs. The various functional...

administration of psilocin itself (Kalberer, Kreis, and Rutschmann, 1962; Hopf and Eckert, 1969). Azmitia EC (2010). "Evolution of serotonin: sunlight to...

Zetterberg Gunilla Larsson - Eliz Zetterberg Gino Samil - Länsman Heinz Hopf - Hans Thomsen Runo Sundberg - Eklund Bjørn Aronsson - Fredriksson Tomas...

Ferrante Castriota House of Kastrioti Elsie 2003, p. 43. Gegaj 1937, p. 162. Hopf 1873, p. 533. Padiglione 1879, p. 24. Padiglione 1879, p. 25. Padiglione...

Sedan and were buried in the Church of St. Charles Borromeo. Georg Wilhelm Hopf: Bayerische Geschichte in Zeittafeln, Schmid, 1865, S. 134 Oman, Carola (1938)...

{\displaystyle \tau _{V,W}} , most importantly the modules over quasitriangular Hopf algebras and Yetter–Drinfeld modules over finite groups (such as Z 2 {\displaystyle...

reflect her influence. The transition is also attributed to the work of Heinz Hopf, who was influenced by Noether, and to Leopold Vietoris and Walther Mayer...

Mansions". Newport Rhode Island Inn Mansion Tours. Retrieved December 12, 2012. Hopf, John T. (1976). The Complete Book of Newport Mansions. Randall, Amanda Mackenzie...

Animal and plant life in the Torah, חי וצומח בתורה, p. 204 Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of plants in the Old World: the...

determined by families of quartic curves Vanishing second Betti number: Hopf surfaces Inoue surfaces; several other families discovered by Inoue have...

CDU Berlin representative Heinrich Homann NDPD Erich Honecker SED Fritz Hopf LDPD Johanna Hoppe DFD Heinz Hoßfeld FDGB Claus-Jürgen Huch NDPD Max Hübner...

metaphor for the personal secrets and conflicts within relationships. Scholars Hopf and Creighton have argued that the metaphor works both ways, with the series...

London Oxford University Press. Hopf, Carl (1888). Les Giustiniani, dynastes de Chios: étude historique. Ernest Leroux. Hopf, Carl (1873). Chroniques Gréco-Romanes...

Two-dimensional topological manifolds have triangulations. 1926 Heinz Hopf Poincaré–Hopf theorem, the sum of the indexes of a vector field with isolated zeroes...

PMID 9351519. Roman Furtmüller; Michael G Schlag; Michael Berger; Rudolf Hopf; Sigismund Huck; Werner Sieghart; Heinz Redl (April 2002). "Tranexamic Acid...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

MR 0039141. Howard, L. N.; Kopell, N. (1976). "A translation of Hopf's original paper". The Hopf Bifurcation and Its Applications. Applied Mathematical Sciences...

Holtzbecher CDU Heinrich Homann NDPD Erich Honecker SED Margot Honecker SED Fritz Hopf LDPD Heinz Hoßfeld FDGB Claus Howitz DBD Claus-Jürgen Huch NDPD Max Hübner...

population groups of another language and, at the same time, ethnicity." Hopf 1873, "Epistola Theodori Zygomalae", p. 236: "... ησάν ποτε κύριοι Αθηνών...

{z} _{k}\end{aligned}}} The above system is known as the inverse Wiener-Hopf factor. The backward recursion is the adjoint of the above forward system...

mathematical symbols, read mathematical books and papers (notably those of Heinz Hopf, J. H. C. Whitehead, and Hassler Whitney) to him, and later worked as his...

as a counsel of Robert of Anjou.[verification needed] According to Karl Hopf, Tanusio's son or brother Andrea, as told by Gjon Muzaka (fl. 1510), had...

According to Alexandrov, Noether attended lectures given by him and Heinz Hopf in 1926 and 1927, where "she continually made observations which were often...

Text list Hopf, Matt (2016-01-08). "Liberty School District seeks voter approval for property tax hike". Herald-Whig. Retrieved 2025-06-02. Hopf, Matt (2016-02-22)...

classical harmonic and complex analysis (ISBN 0262230925); Vol. 3, The Hopf-Wiener integral equation; Prediction and filtering; Quantum mechanics and...

1073/pnas.0701572104. PMC 1871816. PMID 17409186. Bernstein H, Byerly HC, Hopf FA, Michod RE (September 1985). "Genetic damage, mutation, and the evolution...

Archived from the original on November 16, 2020. Retrieved October 14, 2020. Hopf, Janet (December 20, 2002). "Dumb Luck". Washington City Paper. Archived...

org/nlab/show/image (Definition 3.1 and Remarks 3.2) in Gabriella Böhm, Hopf algebroids, in Handbook of Algebra (2008) arXiv:0805.3806 paragraph 2-14...

shared with Charles Fefferman. In the same year, he was awarded the Heinz Hopf Prize, the Lobachevsky Medal and Prize by Kazan Federal University, and the...

In mathematics, and especially differential geometry and gauge theory, a connection is a device that defines a notion of parallel transport on the bundle;...

Good times create weak men. And weak men create hard times." — G. Michael Hopf, Those Who Remain "Fear leads to anger. Anger leads to hate. Hate leads to...

; McCracken, M. (1976). The Hopf Bifurcation and Its Applications. Kazarinoff, N. D. (September 1977). "Review of The Hopf bifurcation and its applications...

the original on 16 September 2012. Retrieved 2 April 2012. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

single computer scenario. X Window System core protocol X logical font description Matthieu Herrb and Matthias Hopf. New Evolutions in the X Window System....

Topological K-theory has been applied in John Frank Adams’ proof of the “Hopf invariant one” problem via Adams operations. Adams also proved an upper bound...

National Register of Historic Places listings in Newport County, Rhode Island Hopf, John T. (1976). The Complete Book of Newport Mansions. Paul L. Veeder, II...

1002/chem.200802656. PMID 19288488. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; et al. (June 1983). "The Darwinian Dynamic". The Quarterly...

doi:10.3389/fpls.2020.00638. PMC 7261834. PMID 32523597. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World (Fourth ed...

fixed-point theorem", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Hopf, H. (1944). "Eine Verallgemeinerung bekannter Abbildungs-und Überdeckungssätze"...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

result, which can be proved using the Gauss–Bonnet theorem, is the Poincaré-Hopf index theorem for vector fields on M which vanish at only a finite number...

im Spiegel der Medaille, Band 1, Wernersche, 1997, p. 845 Georg Wilhelm Hopf: Bayerische Geschichte in Zeittafeln, Schmid, 1865, p. 149 Philipp Kasimir...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

She had two children with Moisi: Cesare Comnino and Despina Cominiata. Hopf, Carl (1873). Genealogy of Epiriote Royal Musachi Family. p. 298. Muzaka...

almost complex structure, which was introduced independently also by Heinz Hopf. In order to obtain a more conceptual understanding of completely integrable...

Model Theory was given by Thomas Scanlon. In 2019 he was awarded the Heinz Hopf Prize and in 2022 the Shaw Prize in Mathematical Sciences. Hrushovski is...

CS1 maint: work parameter with ISBN (link) Bernstein, H; Byerly, HC; Hopf, FA; Michod, RE (1985). "Genetic damage, mutation, and the evolution of sex"...

A Seifert surface for the Hopf link. This is an annulus, not a Möbius strip. It has two half-twists and is thus orientable....

promontorio, e del venerabile tempio di Santa Maria di Leuca, etc (in Italian). Hopf, Carlo, ed. (1873). "Breve Memoria de li Discendenti de Nostra Casa Musachi"...

Language Film, 1975 Thriller – A Cruel Picture Alex Fridolinski Christina Lindberg, Heinz Hopf, Per-Axel Arosenius Exploitation Thriller – en grym film...

4523. doi:10.1126/science.1078208. PMID 12714734. S2CID 13350469. Zohary D, Hopf M, eds. (2000). Domestication of Plants in the Old World (3rd ed.). Oxford...

called a saddle point. This concept is useful to introduce the Poincaré–Hopf theorem and the hairy ball theorem. Other areas where this terminology is...

are complete are called geodesic manifolds; completeness follows from the Hopf–Rinow theorem. Every compact metric space is complete, though complete spaces...

convolution appears notably in the definition of Hopf algebras (Kassel 1995, §III.3). A bialgebra is a Hopf algebra if and only if it has an antipode: an...

loop quantum gravity spin network black hole thermodynamics Quantum group Hopf algebra Noncommutative quantum field theory See list of string theory topics...

half-time position at the University of Rochester. His most-cited paper is on Hopf algebras, co-authored with John Milnor. As a faculty member at Princeton...

History of Plants. Routledge. p. 72. ISBN 0-415-92746-3. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of plants in the Old World: the...

1126/scitranslmed.3004925. PMC 5130338. PMID 23408054. Bernstein, H.; Byerly, H. C.; Hopf, F. A.; Michod, R. E. (1985-09-20). "Genetic damage, mutation, and the evolution...

Position Player Club GK Johannes Hopf Hammarby TFF DF Haris Devic Bodens BK MF Joakim Persson Lunds BK FW Nedim Halilović Dalkurd FF...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

name of the theory. The Gori et al. group finds that cobwebs experience Hopf bifurcations, in Gori et al. 2014, Gori et al. 2015a, and Gori et al. 2015b...

2007–2009† Jan Thilo Haux [de] Eva Herman, 1989–2007† Jan Hofer, 1985–2020† Georg Hopf [de], 1975–1985 Horst Jaedicke [de] Silke Jürgensen [de], 2002–2005 Karolin...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

⁠. In 1958 J. Frank Adams published a further generalization in terms of Hopf invariants on H-spaces that still limits the dimension to 1, 2, 4, or 8....

Archive.org. April 1942. p. 94. Retrieved 31 May 2026. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World (Fourth ed...

street photographer known for being "brash" and "obnoxious." Samuel Lintaro Hopf, a photographer and collaborator of Suzuki's, stated that "Suzuki is one...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

doi:10.1111/tpj.12496. PMID 24597605. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (20 September 1985). "Genetic Damage, Mutation...

known as an antipode Antipode, the convolution inverse of the identity on a Hopf algebra Antipodes, points on the Earth's surface that are diametrically opposed...

film, written and directed by Giorgio Mariuzzo. Al Cliver as Tommy Clara Hopf as Sunsirahè Corrado Olmi as Honest Jeremy Federico Boido as Keith Stefano...

Elsevier Science. 2015. p. 387. ISBN 978-0-12-384953-3. Zohary, Daniel; Hopf, Maria (2000). Domestication of Plants in the Old World (3rd ed.). Oxford...

in 1936 for Zurich, Switzerland, where he studied with the geometer Heinz Hopf and received his doctorate in 1940 from the Swiss Federal Institute of Technology...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

The limit cycle is born when a stable spiral point becomes unstable by Hopf bifurcation. Only when the linear nullcline pierces the cubic nullcline at...

Barak, Färberin, Amme) Conductor, Opera house and orchestra Label 1955 Hans Hopf Leonie Rysanek Ludwig Weber Christel Goltz Elisabeth Höngen Karl Böhm Vienna...

hdl:2263/19269. PMID 22497583. S2CID 36059683. Bernstein, H.; Byerly, H. C.; Hopf, F. A. & Michod, R. E. (1985). "Genetic damage, mutation, and the evolution...

also been shown that fission waves can be stable, unstable or undergo a Hopf birfurcation[definition needed] depending on thermal feedback. Irradiation...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

413H. doi:10.1007/s10722-013-0046-5. ISSN 0925-9864. Zohary, Daniel and Hopf, Maria (2000). Domestication of Plants in the Old World, third edition. Oxford:...

46 (1): 57–81. doi:10.1086/288850. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; Michod, Richard A.; Vemulapalli, G. Krishna (1983). "The Darwinian...

H.-J.; Eichwede, F.; Födisch, M.; Taccone, F.S.; Wöbker, G.; Schwab, T.; Hopf, H.-B.; Tonner, P.; Hachimi-Idrissi, S. (Aug 2010). "Safety and feasibility...

ISSN 1094-4087. PMID 29221054. Noble, Ben (1958). Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations. New York, NY:...

July 2015. Retrieved 16 June 2015. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; et al. (June 1983). "The Darwinian Dynamic". The Quarterly...

2018. Archived from the original on 11 June 2017. Retrieved 29 June 2018. Hopf, Alice L. (1979). Animals that eat nectar and honey. Holiday House. ISBN 978-0-8234-0338-7...

is also a juggler and magician. Ehrenborg, Richard (1996). "On posets and Hopf algebras". Advances in Mathematics. 119 (1): 1–25. doi:10.1006/aima.1996...

century, with three varieties growing in India by 1542 ... Zohary, Daniel; Hopf, Maria (March 22, 2001). "Condiments and Dyes". Domestication of Plants in...

Polyhedral Cones, and Intersecting Spherical Caps". arXiv:1205.1396 [math.MG]. Hopf, Heinz (1940). "Selected Chapters of Geometry" (PDF). ETH Zurich: 1–2. Archived...

Grichka Bogdanov's construction yields a bialgebra which is not necessarily a Hopf algebra, the latter being a type of mathematical object which must satisfy...

ft 10 in (2.08 m) 255 lb (116 kg) Sr Driehuis, Netherlands F/C 52 Clint Hopf 6 ft 8 in (2.03 m) 256 lb (116 kg) Sr Ferdinand, Indiana Head coach Marty...

scheduled an "informal recording session" in Dortmund with drummer Thomas Hopf and electronic musician Mark Spybey. Solo Deluge (1984) with Polly Eltes...

theorem Saddle point Morse theory Lie derivative Hairy ball theorem Poincaré–Hopf theorem Stokes' theorem De Rham cohomology Sphere eversion Frobenius theorem...

According to Shuteriqi, she was the daughter of Komnen Arianiti. Meanwhile, Karl Hopf suggests that Niketa Thopia married the daughter of Maurizio Bua Sgouros...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

(88 kg) RS So Lexington Catholic High School Lexington, Kentucky F 42 Curt Hopf 6 ft 8 in (2.03 m) 225 lb (102 kg) Jr Barr-Reeve High School Montgomery,...

Tree of Life, planted on the threshold between life and death. Zohary and Hopf note that "the fruit and the timber, and sometimes even the twigs, are richly...

2591–601. doi:10.1093/molbev/msr082. PMID 21459760. Bernstein H, Byerly HC, Hopf FA, Michod RE (1985). "Sex and the emergence of species". J. Theor. Biol...

sevastocrator (Gjin Zenebishi) and comes. Carl Hermann Friedrich Johann Hopf (1873). Chroniques gréco-romanes: inédites ou peu connues, pub. avec notes...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

from the original on 17 November 2017. Bernstein, Harris; Byerly, Henry C.; Hopf, Frederick A.; Michod, Richard A.; Vemulapalli, G. Krishna (June 1983). "The...

1614/0890-037x(2002)016[0901:yncels]2.0.co;2. S2CID 85720525. Daniel Zohary and Maria Hopf, Domestication of plants in the Old World, third edition (Oxford: University...

the Whitney embedding theorem, the hairy ball theorem, the Hopf theorem, the Poincaré–Hopf theorem, Donaldson's theorem, and the Poincaré conjecture....

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Dirichlet boundary condition Neumann boundary condition Stefan problem Wiener–Hopf problem Separation of variables Green's function Elliptic partial differential...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

refer to a "capture" of the city, leading some modern scholars, such as Karl Hopf, Nicolae Iorga, or Raymond-Joseph Loenertz, to suggest that the city was...

May, J. Peter (1965), "The cohomology of restricted Lie algebras and of Hopf algebras", Bulletin of the American Mathematical Society, 71: 372–377, doi:10...

barley". Native Plant Trust. Retrieved 13 January 2024. Zohary, Daniel; Hopf, Maria (2000). Domestication of Plants in the Old World: The Origin and Spread...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Dukagjini family Zaharia family Božić 1979, p. 344. Božić 1979, p. 215-216. Hopf 1873, p. 534. Fine 1994, p. 528. Ćirković et al. 1970, p. 156. Fine 1994...

doi:10.1093/molbev/mst074. hdl:10261/94159. PMID 23596327. Bernstein H, Hopf FA, Michod RE (1987). "The Molecular Basis of the Evolution of Sex". Molecular...

M. S. W. du Toit National 1933 1934 United 1938 Izaak Wallach 1943 Frank Hopf 1948 D. P. van Heerden HNP 1953 Barend van der Walt National 1958 1961 1966...

functor from complex algebraic spaces of finite type to analytic spaces. Hopf manifolds give examples of analytic surfaces that do not come from a proper...

Robert; A Greek–English Lexicon at the Perseus Project. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

1073/pnas.2001124117. PMC 7260990. PMID 32381741. Bernstein H, Byerly HC, Hopf FA, Michod RE (September 1985). "Genetic damage, mutation, and the evolution...

Engineering as major subjects. He served as the Director general of police (HoPF - Head of Police Force) of Andhra Pradesh. Prior to DGP, he was vice-chairman...

tangent space to a manifold is a kind of "linearization" of the manifold. The Hopf–Rinow theorem asserts that it is possible to define the exponential map on...

categorical probability, July 13, 2009. https://mathoverflow.net/questions/463712/hopf-monads-in-categorical-probability-theory https://golem.ph.utexas...

1073/pnas.95.17.10015. PMC 21453. PMID 9707592. Bernstein H, Byerly HC, Hopf FA, Michod RE. Genetic damage, mutation, and the evolution of sex. Science...

fundamental theorem of algebra is a corollary of Hopf's theorem. Dropping the requirement of commutativity, Hopf generalized his result: Any finite-dimensional...

{\displaystyle \eta \colon S^{3}\to S^{2}} is the Hopf map. This can be shown by observing that the Hopf invariant defines an isomorphism π 3 ( S 2 ) ≅ Z...

codimension-one bifurcations occur nearby: a saddle-node bifurcation, an Andronov–Hopf bifurcation and a homoclinic bifurcation. All associated bifurcation curves...

developed. The building blocks of Brunnian links therein turn out to be Hopf -links, hyperbolic Brunnian links, and hyperbolic Brunnian links in unlink-complements...

also have hydrocarbon analogues; hypercubane has been proposed. Henning Hopf, Classics in Hydrocarbon Chemistry, Wiley VCH, 2000.[full citation needed]...

hyperkähler manifold is also hypercomplex. The converse is not true. The Hopf surface ( H ∖ 0 ) / Z {\displaystyle {\bigg (}{\mathbb {H} }\backslash 0{\bigg...

(2006). "Static Equilibria of Rigid Bodies: Dice, Pebbles, and the Poincare-Hopf Theorem". Journal of Nonlinear Science. 16 (3): 255. Bibcode:2006JNS....16...

relying on a key theorem from differential topology known as the Poincaré–Hopf theorem. It can be summarized as follows. From the locality assumption, the...

Darwin 1859, pp. 171–178 Darwin 1859, p. 172 Bernstein H.; Byerly H.C.; Hopf F.A.; Michod R.E. (December 1985). "Sex and the emergence of species". J...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Gerhard Homuth* Major 63 JG 27, JG 54 Knight's Cross MIA 2 August 1943 Werner Hopf Hauptmann 21 NJG 5 Helmuth Hoppe Hauptmann 22 JG 26 German Cross Jürgen Hörschelmann*...

k)} is a graded-commutative Hopf algebra over k. (If R is a Noetherian local ring with residue field k, then the dual Hopf algebra to Tor ∗ R ⁡ ( k , k...

continuous motion, the two curves are said to be linked. For example, the Hopf link is formed by two circles that each pass through the disk spanned by...

Bernstein & Michod 2012, pp. 1–50 Bernstein, Harris; Byerly, Henry C.; Hopf, Frederic A.; Michod, Richard E. (October 7, 1984). "Origin of sex". Journal...

the universal enveloping algebra of the Lie superalgebra can be given a Hopf algebra structure. Lie superalgebras show up in physics in several different...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

October 2007. Wikimedia Commons has media related to Avena. Zohary, Daniel; Hopf, Maria; Weiss, Ehud (2012). Domestication of Plants in the Old World: The...

Modular representation theory Quiver (mathematics) Representation theory of Hopf algebras Associative property, Associator Heap (mathematics) Magma (algebra)...

operators Vector space Linear algebra Algebra-like Algebra Associative Non-associative Composition algebra Lie algebra Graded Bialgebra Hopf algebra v t e...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

doi:10.1007/s00497-013-0234-7. PMC 3825497. PMID 23995700. Bernstein, H.; Hopf, F.A.; Michod, R.E. (1987). "The Molecular Basis of the Evolution of Sex"...

0.co;2. PMID 12038534. S2CID 20943704. Bernstein, H.; Byerly, H. C.; Hopf, F. A.; Michod, R. E. (1985). "Genetic damage, mutation, and the evolution...

pinching. This result is known as the differentiable sphere theorem. Heinz Hopf conjectured that a simply connected manifold with pinched sectional curvature...

the Ottomans and saw them as protectors. Although German historian Karl Hopf provided a genealogy of the Shpata family, it is deemed by modern scholarship...

question of whether it has a complex structure is known as the Hopf problem, after Heinz Hopf. 7-sphere Topological quasigroup structure as the set of unit...

Torus Unknot (01) Trefoil (31) Cinquefoil (51) Septafoil (71) Unlink (02 1) Hopf (22 1) Solomon's (42 1) Invariants Alternating Arf invariant Bridge no. 2-bridge...

Gardner Bouguereau, American, 1837-1922 Eva Gonzalès, French, 1849-1883 Annie Hopf, Swiss, 1861-1918 Kitty Kieland, Norwegian, 1843-1914 Anna Elizabeth Klumpke...

Harder, N.; Hartmann, D.; Helander, P.; Heinemann, B.; Hirsch, M.; Höfel, U.; Hopf, C.; Ida, K.; Isobe, M.; Jakubowski, M. W.; Kazakov, Y. O.; Killer, C.; Klinger...

35M. doi:10.4003/006.026.0205. S2CID 85866382. Colicchia, G.; Waltner, C.; Hopf, M.; Wiesner, H. (2009). "The scallop's eye—a concave mirror in the context...