Risultati di ricerca
1 giorno fa · "Formal equivalence" (sought via "literal" translation) attempts to render the text literally, or "word for word" (the latter expression being itself a word-for-word rendering of the classical Latin verbum pro verbo) – if necessary, at the expense of features natural to the target language.
1 giorno fa · A formal definition is as follows. The limit of f as x approaches p from above is L if: For every ε > 0 , there exists a δ > 0 such that whenever 0 < x − p < δ , we have | f ( x ) − L | < ε .
3 giorni fa · The o notation can be used to define derivatives and differentiability in quite general spaces, and also (asymptotical) equivalence of functions, () which is an equivalence relation and a more restrictive notion than the relationship "f is Θ(g)" from above.
9 mag 2024 · Propositional logic is typically studied through a formal system in which formulas of a formal language are interpreted to represent propositions. This formal language is the basis for proof systems , which allow a conclusion to be derived from premises if, and only if, it is a logical consequence of them.
1 mag 2024 · A basic form of equivalence, definable on lambda terms, is alpha equivalence. It captures the intuition that the particular choice of a bound variable, in an abstraction, does not (usually) matter. For instance, λ x . x {\displaystyle \lambda x.x} and λ y . y {\displaystyle \lambda y.y} are alpha-equivalent lambda terms, and they ...
9 mag 2024 · In physics, mass–energy equivalence is the relationship between mass and energy in a system's rest frame, where the two quantities differ only by a multiplicative constant and the units of measurement.
1 giorno fa · So, one can define formally the integers as the equivalence classes of ordered pairs of natural numbers under the equivalence relation (a, b) ~ (c, d) if and only if a + d = b + c. The equivalence class of (a, b) contains either (a – b, 0) if a ≥ b, or (0, b – a) otherwise.
