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 36 found (74 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) (5,559 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

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}

RiskMetrics (1,551 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) (10,264 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

Matrix Chernoff bound (4,957 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

Fubini's theorem (7,862 words) [view diff] exact match in snippet view article find links to article

of measures needed to prove Fubini's theorem proper, in particular subadditivity of measure, may be proven using Fubini's theorem for infinite series

Infinite-dimensional Lebesgue measure (1,035 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 } will imply that μ ( X ) = 0. {\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

Null set (1,735 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

Frequency illusion (2,729 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

Graph entropy (914 words) [view diff] exact match in snippet view article find links to article

then H ( G 1 ) ≤ H ( G 2 ) {\displaystyle H(G_{1})\leq H(G_{2})} . Subadditivity. Given two graphs G 1 = ( V , E 1 ) {\displaystyle G_{1}=(V,E_{1})}

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

Samir D. Mathur (514 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

Seminorm (6,145 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 (2,317 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

Aron Wall (471 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 (889 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

Sigma-additive set function (1,648 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

Rank (linear algebra) (4,416 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

Norm (mathematics) (5,937 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

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

Holm–Bonferroni method (2,442 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

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

Xiangyu Zhou (892 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

Price of anarchy in auctions (2,914 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

Kolmogorov complexity (7,565 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 )

Nadel vanishing theorem (787 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". Michigan Mathematical Journal. 48. arXiv:math/0002035

Quantum discord (2,737 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

Kuratowski closure axioms (3,812 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

Trace inequality (4,516 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

Network entropy (3,470 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

List of women in mathematics (23,272 words) [view diff] exact match in snippet view article find links to article

mathematician, translator and biographer Mary Beth Ruskai (1944–2023), proved subadditivity of quantum entropy, bounded the electrons in an atom, advocate for women

Glossary of areas of mathematics (7,692 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