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The presence of Latin terms in modern writing is largely the residue of the terminology of old documents. The expression of fine distinctions in academically correct Latin technical terminology may well help in conveying intended meanings more flexibly and concisely, but the significance of the language need not always be taken seriously.
In the context of limits, these terms refer to some (unspecified, even unknown) point at which a phenomenon prevails as the limit is approached. A statement such as that predicate P holds for sufficiently large values, can be expressed in more formal notation by ∃ x : ∀ y ≥ x : P ( y ).
Thus an expression represents an operation over constants and free variables and whose output is the resulting value of the expression. [ 22 ] For a non-formalized language, that is, in most mathematical texts outside of mathematical logic , for an individual expression it is not always possible to identify which variables are free and bound.
When the polynomial is considered as an expression, x is a fixed symbol which does not have any value (its value is "indeterminate"). However, when one considers the function defined by the polynomial, then x represents the argument of the function, and is therefore called a "variable". Many authors use these two words interchangeably.
These words may not be included in the table below if they only occur for one or two taxa. Instead, the words listed below are the common adjectives and other modifiers that repeatedly occur in the scientific names of many organisms (in more than one genus).
An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.
Main list: Lists of English words Quebec French • Language teaching terms and ideas • Rhetorical terms • Alternative words for British • Greek words for love • Case-sensitive English words • Chicano Caló words and expressions • Dacian words • English words containing Q not followed by U • English words with disputed usage • French words of Arabic origin • Frequently ...
So, + and are two different expressions that represent the same number. This is the meaning of the equality 3 + 2 = 5. {\displaystyle 3+2=5.} A more complicated example is given by the expression ∫ a b x d x {\textstyle \int _{a}^{b}xdx} that can be evaluated to b 2 2 − a 2 2 . {\textstyle {\frac {b^{2}}{2}}-{\frac {a^{2}}{2}}.}