Most proof systems suffer from the use of proof tactics, which make it easier to construct proofs and make proofs smaller, but obscure the reasoning for readers because the meaning of each tactic is often ad hoc and implementation-dependent. As a result of these and other disadvantages, ...
A published proof of Proposition A might begin something like this: (!) We may assume that X also satisfies property P(X). The reasoning step (!) has several possible meanings; we shall describe three of them below. The simplest meaning of (!) would be that (1) Hypothesis H(X) actua...
. proof since we assume \(\nabla \) to be torsion-free, we have \(\textrm{im}(\textrm{id}+ \sigma ) = \textrm{im} [2,\sigma ] \subseteq \ker \wedge = \omega ^2_s\) , ensuring that the bullet action of a on \({{\mathcal {j}}}^2_a\) indeed lands on \({{\math...
even if it is not explicitly emphasized, is the proof of the Efimov effect in the case of infinite two-body scattering length (corresponding to the resonant case), with a rigorous derivation of the law (1.1). This in particular shows that the occurrence of the Efimov effect can be obtained...
Theoverbarpart of a square-root sign or aguzintais also called avinculum, so is the full weight superbar or overscore used to tie several symbols together (in particular, groups of letters with a numerical meaning in Greek orLatin, where such explicit groupingsmayalso imply multiplication by 10...
graph theory: a branch of mathematics focusing on the properties of a variety of graphs (meaning visual representations of data and their relationships, as opposed to graphs of functions on a Cartesian plane).group: a mathematical structure consisting of a set together with an operation that ...
1. An information source which produces a message or sequence of messages to be communicated to the receiving terminal. The message may be of various types: (a) A sequence of letters as in a telegraph of teletype system; (b) A single function of time\small f(t)as in radio or telephony...
This list is limited to abbreviations of two or more letters. The capitalization of some of these abbreviations is not standardized – different authors use different capitalizations. This list isincomplete; you can help byexpanding it. 这个列表受限于两个或更多字母的缩略语。其中,一些缩略语字母大写...
But actually, there was a more serious conceptual problem with the letters-as-numbers idea: it made it very difficult to invent the concept of symbolic variables—of having some symbolic thing that stands for a number. Because any letter one might use for that symbolic thing could be confused...
A published proof of Proposition A might begin something like this: (!) We may assume that X also satisfies property P(X). The reasoning step (!) has several possible meanings; we shall describe three of them below. The simplest meaning of (!) would be that (1) Hypothesis H(X) actua...