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A well-known equality featuring the equal sign. 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.
Symbols used to denote items that are approximately equal are wavy or dotted equals signs.
A wavy equals sign (≈, approximately equal to) is sometimes used to indicate rounding of exact numbers, e.g. 9.98 ≈ 10. This sign was introduced by Alfred George Greenhill in 1892. Ideal characteristics of rounding methods include: Rounding should be done by a function. This way, when the same input is rounded in different instances, the ...
In English, the tilde is often used to express ranges and model numbers in electronics, but rarely in formal grammar or in type-set documents, as a wavy dash preceding a number sometimes represents an approximation (see below).
When followed by a wavy horizontal line, this symbol indicates an extended, or running, trill. In music up to the time of Haydn or Mozart the trill begins on the upper auxiliary note. [9] In percussion notation, a trill is sometimes used to indicate a tremolo .
In botanical nomenclature, the triple bar denotes homotypic synonyms (those based on the same type specimen), to distinguish them from heterotypic synonyms (those based on different type specimens), which are marked with an equals sign.
Sine waves occur often in physics, including wind waves, sound waves, and light waves, such as monochromatic radiation. In engineering, signal processing, and mathematics, Fourier analysis decomposes general functions into a sum of sine waves of various frequencies, relative phases, and magnitudes. When any two sine waves of the same frequency ...
≠ (not-equal sign) Denotes inequality and means "not equal". ≈ The most common symbol for denoting approximate equality. For example, ~ 1. Between two numbers, either it is used instead of ≈ to mean "approximatively equal", or it means "has the same order of magnitude as". 2.
In physics, mathematics, engineering, and related fields, a wave is a propagating dynamic disturbance (change from equilibrium) of one or more quantities. Periodic waves oscillate repeatedly about an equilibrium (resting) value at some frequency.
The symbol "≈" (wavy equal, Equals_sign#Approximately_equal) is used to detnote euqality between terms (in some unspecified domain) in First Order Logic with Equality.
