Find link

language:

Find link is a tool written by Edward Betts.

Longer titles found: Subadditivity effect (view), Strong subadditivity of quantum entropy (view)

searching for Subadditivity 37 found (75 total)

Entanglement-assisted classical capacity (361 words) [view diff] exact match in snippet view article find links to article

demonstrates that this rate is optimal by making use of the strong subadditivity of quantum entropy. Classical capacity Quantum capacity Typical subspace

Blancmange curve (3,185 words) [view diff] no match in snippet view article find links to article

In mathematics, the blancmange curve is a self-affine fractal curve constructible by midpoint subdivision. It is also known as the Takagi curve, after

Measure (mathematics) (5,449 words) [view diff] no match in snippet view article

In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions

RiskMetrics (1,549 words) [view diff] exact match in snippet view article find links to article

sizes in the portfolio. An important property of incremental risk is subadditivity. That is, the sum of the incremental risks of the positions in a portfolio

Entropy (information theory) (9,711 words) [view diff] exact match in snippet view article

entropy was given by Aczél, Forte and Ng, via the following properties: Subadditivity: H ( X , Y ) ≤ H ( X ) + H ( Y ) {\displaystyle \mathrm {H} (X,Y)\leq

Utility functions on indivisible goods (1,808 words) [view diff] exact match in snippet view article find links to article

is additive if and only if it is both submodular and supermodular. Subadditivity means that for every pair of disjoint sets A , B {\displaystyle A,B}

Uncertainty theory (Liu) (3,824 words) [view diff] exact match in snippet view article

mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms.[clarification needed] Mathematical measures

Matrix Chernoff bound (4,767 words) [view diff] exact match in snippet view article find links to article

{E} \mathbf {Y} )}.} This gives us the major result of the paper: the subadditivity of the log of the matrix generating function. Let X k {\displaystyle

Squashed entanglement (2,131 words) [view diff] exact match in snippet view article find links to article

S(A:B|\Lambda )\geq 0} . This inequality is often called the strong-subadditivity property of quantum entropy. Consider three random variables A , B

Infinite-dimensional Lebesgue measure (966 words) [view diff] exact match in snippet view article find links to article

{\displaystyle X} by null sets, because by choosing a countable subcover, the σ-subadditivity of μ {\displaystyle \mu } implies that μ ( X ) = 0. {\displaystyle \mu

Graph entropy (868 words) [view diff] exact match in snippet view article find links to article

vertex set, then H(G1)≤H(G2){\displaystyle H(G_{1})\leq H(G_{2})}. Subadditivity. Given two graphs G1=(V,E1){\displaystyle G_{1}=(V,E_{1})} and G2=(V

Null set (1,730 words) [view diff] exact match in snippet view article find links to article

Any countable union of null sets is itself a null set (by countable subadditivity of μ {\displaystyle \mu } ). Any (measurable) subset of a null set is

Absolutely convex set (1,913 words) [view diff] exact match in snippet view article find links to article

{\displaystyle q:X\to \mathbb {R} } that satisfies the following conditions: Subadditivity/Triangle inequality: q ( x + y ) ≤ q ( x ) + q ( y ) {\displaystyle

Seminorm (6,139 words) [view diff] exact match in snippet view article find links to article

is called a seminorm if it satisfies the following two conditions: Subadditivity/Triangle inequality: p ( x + y ) ≤ p ( x ) + p ( y ) {\displaystyle

Borel–Cantelli lemma (1,815 words) [view diff] exact match in snippet view article find links to article

_{N\to \infty }\Pr \left(\bigcup _{n=N}^{\infty }E_{n}\right).} By subadditivity, Pr ( ⋃ n = N ∞ E n ) ≤ ∑ n = N ∞ Pr ( E n ) . {\displaystyle \Pr \left(\bigcup

Frequency illusion (2,719 words) [view diff] exact match in snippet view article find links to article

2009). "On splitting and merging categories: A regression account of subadditivity". Memory & Cognition. 37 (4): 383–393. doi:10.3758/mc.37.4.383. ISSN 0090-502X

Samir D. Mathur (510 words) [view diff] exact match in snippet view article find links to article

cannot restore unitarity. This result was obtained by applying Strong Subadditivity of Quantum Entropy to the evaporation of Hawking radiation. This led

Aron Wall (460 words) [view diff] exact match in snippet view article find links to article

to quantum teleportation. Wall AC. Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy. Classical and Quantum

Mary Beth Ruskai (791 words) [view diff] exact match in snippet view article find links to article

to quantum mechanics. In 1972 she and Elliot Lieb proved the Strong Subadditivity of Quantum Entropy, which was described in 2005 as "the key result on

Content (measure theory) (2,018 words) [view diff] exact match in snippet view article

{\mathcal {A}}\Rightarrow \mu (A\cup B)+\mu (A\cap B)=\mu (A)+\mu (B).} Subadditivity: A i ∈ A ( i = 1 , 2 , … , n ) ⇒ μ ( ⋃ i = 1 n A i ) ≤ ∑ i = 1 n μ (

Lawrence Ein (653 words) [view diff] exact match in snippet view article find links to article

Demailly, Jean-Pierre; Ein, Lawrence; Lazarsfeld, Robert (2000). "A subadditivity property of multiplier ideals". arXiv:math/0002035. with R. Lazarsfeld

Rank (linear algebra) (4,390 words) [view diff] exact match in snippet view article

{rank} (BC)\leq \operatorname {rank} (B)+\operatorname {rank} (ABC).} Subadditivity: rank ⁡ ( A + B ) ≤ rank ⁡ ( A ) + rank ⁡ ( B ) {\displaystyle \operatorname

Sigma-additive set function (1,622 words) [view diff] exact match in snippet view article find links to article

A)+2\mu (A\cap B).} However, the related properties of submodularity and subadditivity are not equivalent to each other. Note that modularity has a different

Norm (mathematics) (5,671 words) [view diff] exact match in snippet view article

denotes the usual absolute value of a scalar s {\displaystyle s} : Subadditivity/Triangle inequality: p ( x + y ) ≤ p ( x ) + p ( y ) {\displaystyle

Coherent risk measure (2,313 words) [view diff] exact match in snippet view article find links to article

H. (2019). "Bigger Is Not Always Safer: A Critical Analysis of the Subadditivity Assumption for Coherent Risk Measures". Risks. 7 (3): 91. doi:10.3390/risks7030091

Holm–Bonferroni method (2,441 words) [view diff] exact match in snippet view article find links to article

{\frac {\alpha }{m_{0}}}\right\}\right)={\frac {\alpha }{m_{0}}}} . Subadditivity of the probability measure implies that Pr ( A ) ≤ ∑ i ∈ I 0 P ( { P

Matthew Headrick (487 words) [view diff] exact match in snippet view article find links to article

Matthew; Takayanagi, Tadashi (2007). "Holographic proof of the strong subadditivity of entanglement entropy". Physical Review D. 76 (10): 106013. arXiv:0704

Price of anarchy in auctions (2,816 words) [view diff] exact match in snippet view article find links to article

Both of the above upper bounds on the PoA degrade gracefully when the subadditivity and no-overbidding assumptions are relaxed. E.g: if we assume that each

Xiangyu Zhou (883 words) [view diff] exact match in snippet view article find links to article

S2CID 126209780. Guan, Qi'an; Zhou, Xiangyu (2020). "Restriction formula and subadditivity property related to multiplier ideal sheaves". Journal für die Reine

Kolmogorov complexity (7,143 words) [view diff] exact match in snippet view article find links to article

writing out the string itself. Theorem. (extra information bounds, subadditivity) K ( x | y ) ≤ K ( x ) ≤ K ( x , y ) ≤ max ( K ( x | y ) + K ( y )

Quantum discord (2,373 words) [view diff] exact match in snippet view article find links to article

analogy to the Peres–Horodecki criterion and in relation to the strong subadditivity of the von Neumann entropy. Efforts have been made to extend the definition

Glossary of areas of mathematics (7,687 words) [view diff] exact match in snippet view article find links to article

mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Universal algebra a field studying the

Entropy of network ensembles (1,971 words) [view diff] exact match in snippet view article find links to article

not satisfy the property of sub-additivity (see Von Neumann entropy's subadditivity), expected to hold theoretically. A more grounded definition, satisfying

Kuratowski closure axioms (3,764 words) [view diff] exact match in snippet view article find links to article

the equality in [K4] as an inclusion, giving the weaker axiom [K4''] (subadditivity): [K4''] It is subadditive: for all A , B ⊆ X {\displaystyle A,B\subseteq

Network entropy (2,670 words) [view diff] exact match in snippet view article find links to article

not satisfy the property of sub-additivity (see Von Neumann entropy's subadditivity), expected to hold theoretically. A more grounded definition, satisfying

Trace inequality (4,515 words) [view diff] exact match in snippet view article find links to article

Ruskai, Mary Beth (2007). "Another short and elementary proof of strong subadditivity of quantum entropy". Reports on Mathematical Physics. 60 (1). Elsevier

List of women in mathematics (22,165 words) [view diff] exact match in snippet view article find links to article

mathematician, translator and biographer Mary Beth Ruskai (born 1944), proved subadditivity of quantum entropy, bounded the electrons in an atom, advocate for women