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A logic translation is a translation of a text into a logical system. For example, translating the sentence "all skyscrapers are tall" as ∀ x ( S ( x ) → T ( x ) ) {\displaystyle \forall x(S(x)\to T(x))} is a logic translation that expresses an English language sentence in the logical system known as first-order logic .
A form of unary notation called Church encoding is used to represent numbers within lambda calculus. Some email spam filters tag messages with a number of asterisks in an e-mail header such as X-Spam-Bar or X-SPAM-LEVEL. The larger the number, the more likely the email is considered spam. 10: Bijective base-10: To avoid zero: 26: Bijective base-26
Whereas expressions denote mainly numbers in elementary algebra, in Boolean algebra, they denote the truth values false and true. These values are represented with the bits , 0 and 1. They do not behave like the integers 0 and 1, for which 1 + 1 = 2 , but may be identified with the elements of the two-element field GF(2) , that is, integer ...
Table of correspondences from Carl Faulmann's Das Buch der Schrift (1880), showing glyph variants for Phoenician letters and numbers. In numerology, gematria (/ ɡ ə ˈ m eɪ t r i ə /; Hebrew: גמטריא or גימטריה, gimatria, plural גמטראות or גימטריות, gimatriot) [1] is the practice of assigning a numerical value to a name, word or phrase by reading it as a number ...
A formal expression is a kind of string of symbols, created by the same production rules as standard expressions, however, they are used without regard to the meaning of the expression. In this way, two formal expressions are considered equal only if they are syntactically equal, that is, if they are the exact same expression.
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...
If the value is "on", the output is an ordinal number, otherwise it is a cardinal number. us: Optional. If the value is "on", the output of numbers does not include "and" to separate hundreds from smaller values, nor to separate thousands from hundreds. This accords with American usage as described at English numerals.