Two quantities are said to be equal if they are, in some well-defined sense, equivalent. Equality of quantities and is written . Equal is implemented in the Wolfram Language as Equal[A, B, ...], or A==B==....
Equality of multiple expressions is commonly denoted
(1)
(2)
which is equivalent to . Equality is transitive, so if and , then it is also true that .
A symbol with three horizontal line segments () resembling the equals sign is used to denote both equality by definition (e.g., means is defined to be equal to ) and congruence (e.g., means 13 divided by 12 leaves a remainder of 1--a fact known to all readers of analog clocks).
Given an expression involving known constants, integration in finite terms, computation of limits, etc., the constant problem asks to determine if the expression is equal to zero (or, equivalently, if the equality holds, since this is equivalent to ). In general, this is a very difficult (and unsolved) problem.
Equalities that the Wolfram Languagecannot establish "out of the box" include
: of the same measure, quantity, amount, or number as another. (2) : identical in mathematical value or logical denotation : equivalent. b. : like in quality, nature, or status.
break even, evenly matched, fifty-fifty, hom*ologous, identic, indistinguishable, one and the same, same difference, spit and image, stack up with, tantamount, to the same degree, two peas in pod, unvarying.
Some common synonyms of equitable are dispassionate, fair, impartial, just, objective, and unbiased. While all these words mean "free from favor toward either or any side," equitable implies a less rigorous standard than just and usually suggests equal treatment of all concerned.
, e·qualed, e·qual·ing or (especially British) e·qualled, e·qual·ling. to be or become equal to; meet or match: So far the rate of production doesn't equal the demand. If A equals B and B equals C, then A equals C.
We are equal in every way. We teach our children that everyone is equal under the law. She was one of the boys, their equal. You should have married somebody more your equal.
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TOPICS 
and 
is written 
. Equal is implemented in the Wolfram Language as Equal[A, B, ...], or A==B==....
. Equality is transitive, so if 
and 
, then it is also true that 
.
) resembling the equals sign is used to denote both equality by definition (e.g., 
means 
is defined to be equal to 
) and congruence (e.g., 
means 13 divided by 12 leaves a remainder of 1--a fact known to all readers of analog clocks).
holds, since this is equivalent to 
). In general, this is a very difficult (and unsolved) problem.
