Results 261 to 270 of about 646,451 (325)
Some of the next articles are maybe not open access.
Fundamental Theorems of Evolution
The American Naturalist, 2017Evolutionary biology is undergirded by an extensive and impressive set of mathematical models. Yet only one result, Fisher's theorem about selection and fitness, is generally accorded the status of a fundamental theorem. I argue that although its fundamental status is justified by its simplicity and scope, there are additional results that seem ...
openaire +3 more sources
1995
The objective of this chapter is to prove the fundamental theorems of Eilen-berg [75] and Debreu ([65], [67]). Of the several approaches that may be used to prove these classical theorems, we have chosen the one based on Debreu1 s Open Gap Lemma.
Douglas S. Bridges, Ghanshyam B. Mehta
openaire +1 more source
The objective of this chapter is to prove the fundamental theorems of Eilen-berg [75] and Debreu ([65], [67]). Of the several approaches that may be used to prove these classical theorems, we have chosen the one based on Debreu1 s Open Gap Lemma.
Douglas S. Bridges, Ghanshyam B. Mehta
openaire +1 more source
2004
For the investigation of vector optimization problems we need various fundamental theorems of convex analysis which are presented in this section. First, we formulate Zorn’s lemma and the Hahn-Banach theorem and, as a consequence, we examine several types of separation theorems.
openaire +1 more source
For the investigation of vector optimization problems we need various fundamental theorems of convex analysis which are presented in this section. First, we formulate Zorn’s lemma and the Hahn-Banach theorem and, as a consequence, we examine several types of separation theorems.
openaire +1 more source
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators
Nature Machine Intelligence, 2021Lu Lu, Pengzhan Jin, Guofei Pang
exaly
Experimental quantum key distribution certified by Bell's theorem
Nature, 2022David Nadlinger +2 more
exaly
1992
Abstract The fundamental theorem of toposes says that every slice of a topos is also a topos and, for every arrow f: A→ B of E, the functorf:*:E/B→ E/A has a right adjoint 77f and a left adjoint Xf. This makes indexed families of objects and arrows in a topos easy to handle, and it proves a great deal about the structure of a topos.
openaire +1 more source
Abstract The fundamental theorem of toposes says that every slice of a topos is also a topos and, for every arrow f: A→ B of E, the functorf:*:E/B→ E/A has a right adjoint 77f and a left adjoint Xf. This makes indexed families of objects and arrows in a topos easy to handle, and it proves a great deal about the structure of a topos.
openaire +1 more source
2018
This chapter presents the three fundamental theorems of asset pricing. These theorems are the basis for pricing and hedging derivatives, understanding the risk return relations among assets including the notion of systematic risk, portfolio optimization, and equilibrium asset pricing.
openaire +1 more source
This chapter presents the three fundamental theorems of asset pricing. These theorems are the basis for pricing and hedging derivatives, understanding the risk return relations among assets including the notion of systematic risk, portfolio optimization, and equilibrium asset pricing.
openaire +1 more source
Fundamental Existence Theorems
1929As we saw in § 3 of Chapter IX (p. 237), Green, in 1828, inferred the existence of the function which bears his name from the assumption that a static charge could always be induced on a closed grounded conducting surface by a point charge within the conductor, and that the combined potential of the two charges would vanish on the surface.
openaire +1 more source