- the proof of the first part of the theorem follows directly from ...
- • доказательство первой части теоремы непосредственно следует из ...

*English-Russian dictionary of phrases and cliches for a specialist researcher.
2010.*

- the proof of the first part of the theorem follows directly from ...
- • доказательство первой части теоремы непосредственно следует из ...

*English-Russian dictionary of phrases and cliches for a specialist researcher.
2010.*

**Theorem**— The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia**Nyquist–Shannon sampling theorem**— Fig.1: Hypothetical spectrum of a bandlimited signal as a function of frequency The Nyquist–Shannon sampling theorem, after Harry Nyquist and Claude Shannon, is a fundamental result in the field of information theory, in particular… … Wikipedia**Commutation theorem**— In mathematics, a commutation theorem explicitly identifies the commutant of a specific von Neumann algebra acting on a Hilbert space in the presence of a trace. The first such result was proved by F.J. Murray and John von Neumann in the 1930s… … Wikipedia**Turing's proof**— First published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem , Turing s proof was the second proof of the assertion (Alonzo Church proof was first) that some questions are undecidable :… … Wikipedia**Leibniz (from) to Kant**— From Leibniz to Kant Lewis White Beck INTRODUCTION Had Kant not lived, German philosophy between the death of Leibniz in 1716 and the end of the eighteenth century would have little interest for us, and would remain largely unknown. In Germany… … History of philosophy**Exact sciences (The) in Hellenistic times: texts and issues**— The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… … History of philosophy**Immerman–Szelepcsényi theorem**— The Immerman–Szelepcsényi Theorem was proven independently by Neil Immerman and Róbert Szelepcsényi in 1987, for which they shared the 1995 Gödel Prize. In its general form the theorem states that NSPACE = co NSPACE. In other words, if a… … Wikipedia**History of the Church-Turing thesis**— This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… … Wikipedia**History of the Church–Turing thesis**— This article is an extension of the history of the Church–Turing thesis. The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… … Wikipedia**Cayley–Hamilton theorem**— In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… … Wikipedia**Perron–Frobenius theorem**— In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia