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The #ifeq function selects one of two alternatives based on whether two test strings are equal to each other. {{#ifeq: string 1 | string 2 | value if equal | value if not equal}} If both strings are valid numerical values, they are compared as numbers, rather than as literal strings: {{#ifeq: 01 | 1 | equal | not equal }} → equal
Excel graph of the difference between two evaluations of the smallest root of a quadratic: direct evaluation using the quadratic formula (accurate at smaller b) and an approximation for widely spaced roots (accurate for larger b). The difference reaches a minimum at the large dots, and round-off causes squiggles in the curves beyond this minimum.
For example, the formula "a AND NOT b" is satisfiable because one can find the values a = TRUE and b = FALSE, which make (a AND NOT b) = TRUE. In contrast, " a AND NOT a " is unsatisfiable. SAT is the first problem that was proven to be NP-complete —this is the Cook–Levin theorem .
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol =, which is used to indicate equality in some well-defined sense. [1] In an equation, it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the ...
Two objects that are not equal are said to be distinct. [4] Equality is often considered a kind of primitive notion, meaning, it is not formally defined, but rather informally said to be "a relation each thing bears to itself and nothing else". This characterization is notably circular ("nothing else"). This makes equality a somewhat slippery ...
Logical equality is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true. The truth table of p EQ q (also written as p = q, p ↔ q, Epq, p ≡ q, or p == q) is as follows: The Venn diagram of A EQ B (red part is true)
Formulas and are logically equivalent if and only if the statement of their material equivalence is a tautology. [ 2 ] The material equivalence of p {\displaystyle p} and q {\displaystyle q} (often written as p ↔ q {\displaystyle p\leftrightarrow q} ) is itself another statement in the same object language as p {\displaystyle p} and q ...
For example, the value that is z = 1 standard deviation above the mean is always greater than or equal to Q(p = 0.5), the median, and the value that is z = 2 standard deviations above the mean is always greater than or equal to Q(p = 0.8), the fourth quintile.