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In mathematics, a function f {\displaystyle f} is superadditive if f ( x + y ) ≥ f ( x ) + f ( y ) {\displaystyle f(x+y)\geq f(x)+f(y)} for all x {\displaystyle...

In mathematics, a superadditive set function is a set function whose value when applied to the union of two disjoint sets is greater than or equal to...

A Choquet integral is a subadditive or superadditive integral created by the French mathematician Gustave Choquet in 1953. It was initially used in statistical...

synergistic effect, called superadditive development. Superadditive development commonly means that the mathematical superadditive inequality holds for the...

{ a n } n = 1 ∞ {\displaystyle \{a_{n}\}_{n=1}^{\infty }} is called superadditive if and only if for all m , n ∈ N {\displaystyle m,n\in \mathbb {N} }...

smaller coalitions. Characteristic functions are often assumed to be superadditive (Owen 1995, p. 213). This means that the value of a union of disjoint...

share is worth even more. On the contrary, when the valuations are only superadditive, PR still implies EF with two partners, but EF no longer implies PR...

for positive integer values of x. The Hadamard's gamma function has a superadditive property: H ( x ) + H ( y ) ≤ H ( x + y ) , {\displaystyle H(x)+H(y)\leq...

of fractionally-subadditive valuations. When agents' utilities are superadditive set functions (more general than supermodular), a ( log ⁡ m ) 1 + ϵ...

fractional Brownian motion. The Choquet integral, a subadditive or superadditive integral created by Gustave Choquet in 1953. The Bochner integral, a...

u} is a superadditive set function. Assuming u ( ∅ ) {\displaystyle u(\emptyset )} is non-positive, every supermodular function is superadditive. However...

compared to the sum of each single modality together, an effect called the superadditive effect of multisensory integration. Neurons that respond to both visual...

Centre National de la Recherche Scientifiques. Alzer, Horst (2009). "A superadditive property of Hadamard's gamma function". Abhandlungen aus dem Mathematischen...

supermodular function. A non-negative supermodular function is also a superadditive function. There are specialized techniques for optimizing submodular...

a_{m}/m<s^{*}+\epsilon } , a contradiction. The analogue of Fekete's lemma holds for superadditive sequences as well, that is: a n + m ≥ a n + a m . {\displaystyle a_{n+m}\geq...

html Lin, Minghua; Sra, Suvrit (2014). "Completely strong superadditivity of generalized matrix functions". arXiv:1410.1958 [math.FA]. Paksoy;...

California, Los Angeles (1959) on the dissertation Minimal Superadditive Extensions of Superadditive Functions advised by John Green (mathematician). He joined...

share is worth even more. On the contrary, when the valuations are only superadditive, PR still implies EF with two partners, but EF no longer implies PR...

that the entropy power of suitably well-behaved random variables is a superadditive function. The entropy power inequality was proved in 1948 by Claude...

1007/s00220-003-0981-7. S2CID 189829228. Hastings, M. B. (April 2009). "Superadditivity of communication capacity using entangled inputs". Nature Physics....

Lwin, May, Maureen Morrin, & Aradhna Krishna (2010), "Exploring the Superadditive Effects of Scent and Pictures on Verbal Recall: An Extension of Dual...

( 0 ) ≤ 0 {\displaystyle f(0)\leq 0} , then f {\displaystyle f} is superadditive on the positive reals, that is f ( a + b ) ≥ f ( a ) + f ( b ) {\displaystyle...

(mathematics) – Length in a vector space Seminorm – Mathematical function Superadditivity – Property of a function Proofs Let x ∈ X . {\displaystyle x\in X.}...

functions of finitely presented groups. In particular, if f(n) ≥ n4 is a superadditive function whose binary representation is computable in time O ( f ( n...

(\varnothing )=0} then μ {\displaystyle \mu } is finitely subadditive. superadditive if μ ( E ) + μ ( F ) ≤ μ ( E ∪ F ) {\displaystyle \mu (E)+\mu (F)\leq...

developer, and D-96 motion picture negative developer. Hydroquinone is superadditive with metol, meaning that it acts to "recharge" the metol after it has...

subadditivity condition above is instead replaced by the condition: Superadditivity: for X , Y ∈ H {\displaystyle X,Y\in {\mathcal {H}}} then E [ X ] +...

Stevenson & Sloman (1999). Opening Pandora's Box: Selective Unpacking and Superadditivity, ECCS, 265–270. Stibel (1995). The Effects of Associativity, Interconnectivity...

\varphi _{i}(v)\leq v(\{i\})} . Similarly, if v {\displaystyle v} is a superadditive set function, i.e., v ( S ⊔ T ) ≥ v ( S ) + v ( T ) {\displaystyle v(S\sqcup...

case, a subgroup that is not locally finite has superadditive distortion; conversely every superadditive function (up to asymptotic equivalence) can be...

Hu (2020) shows the endowment effect when the utility function is superadditive, i.e., the value of the whole is greater than the sum of its parts....

_{i=1}^{n}A_{i}\right)\leq \sum _{i=1}^{n}\mu (A_{i}).} σ {\displaystyle \sigma } -Superadditivity: For any we A i ∈ A ( i = 1 , 2 , … )   {\displaystyle A_{i}\in {\mathcal...

\limsup _{n\to \infty }b_{n}.} Analogously, the limit inferior satisfies superadditivity: lim inf n → ∞ ( a n + b n ) ≥ lim inf n → ∞ a n +   lim inf n → ∞...

(previsions), aim to fill this gap. A lower probability function is superadditive but not necessarily additive, whereas an upper probability is subadditive...

Peleg and L.S. Shapley, 1979, Mathematics of Operations Research "Superadditive Solution for the Nash bargaining Game", with M. Perles, 1981, IJGT "Game...

which the value of f (x + y) is less than or equal to f (x) + f (y). Superadditive function: for which the value of f (x + y) is greater than or equal...

greater than the sum of rates of development by each agent used alone (superadditivity). This combination is very versatile; by varying the quantities of...

explanations. This is due to people either exhibiting optimism, leading to superadditivity, or pessimism, lead to subadditivity. This mechanism involves individuals...

its conclusion stops short of showing σ {\displaystyle \sigma } being superadditive. Yet, Schnirelmann provided us with the following results, which sufficed...

functions is subadditive (dually, the minimum of additive functions is superadditive). Formally, for each i ∈ { 1 , … , m } {\displaystyle i\in \{1,\dotsc...

Funktionentheorie, Springer 1961 Minkowskische Summen und Integrale. Superadditive Mengenfunktionale. Isoperimetrische Ungleichungen (1961) Einführung...

Hence, every mFS-fair allocation is proportional. For every agent with superadditive utility, the MMSis worth at most 1 / n {\displaystyle 1/n} . Hence,...

E ) + g ( F ) {\displaystyle g(E\cup F)+g(E\cap F)\leq g(E)+g(F)} ; superadditive if for any E , F ∈ C {\displaystyle E,F\in {\mathcal {C}}} such that...

zero); that is, φ ( ∅ ) = 0 {\displaystyle \varphi (\varnothing )=0} Superadditive: For any disjoint sets A {\displaystyle A} and B , {\displaystyle B...

memories so that strong memories get even stronger, a principle called "superadditive". Hierarchical relational binding theory explains both neuroimaging...

doi:10.1109/TIT.2002.806153 Hastings, M. B. (15 March 2009), "Superadditivity of communication capacity using entangled inputs", Nature Physics,...

⁡ [ λ n , k ] {\displaystyle \operatorname {E} [\lambda _{n,k}]} is superadditive: for all m and n, E ⁡ [ λ m + n , k ] ≥ E ⁡ [ λ m , k ] + E ⁡ [ λ n...

additive positive utilities, but also for any superadditive utilities, whether positive or negative: For superadditive utilities, there is a polynomial-time algorithm...

particular p. 112. Holme, Audun; Roberts, Joel (1994), "Zak's theorem on superadditivity", Arkiv för Matematik, 32 (1): 99–120, Bibcode:1994ArM....32...99H...

1007/s00220-010-1172-y. ISSN 0010-3616. Hastings, M. B. (2009-03-15). "Superadditivity of communication capacity using entangled inputs". Nature Physics....

competition on fitness does not change with the environment. If γ > 0 (superadditivity), it means that the adverse effects of competition during a bad year...