...re satisfied, then $A$ must be true (sufficient conditions). Frequently the expression "necessary and sufficient" is replaced by "if and only if". Necessary an
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...deducible in $S_2$; 2) every axiom of $S_2$ is deducible in $S_1$; 3) if an expression $B$ follows immediately from expressions $A_1,\ldots,A_n$ by virtue of a de
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...sion $P_x'+Q_y'$ has constant sign (i.e. the sign remains unchanged and the expression vanishes only at isolated points or on a curve), then the system \eqref{*}
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A formula that gives an expression for the $n$-th derivative of the product of two functions in terms of their
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...atives, generally taken with a functionally transformed argument. Here, the expression of the functional transformation may include the unknown function, as a res
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then the expression $ A \cdot ( \Delta x) ^ {n} $
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Sometimes, a degree of a number $a$ is an expression of the form $a^b$ where $b$ is also a (suitable) number, see [[Power|Power]
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The differential expression
The expression (1) is sometimes written in the form
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An expression of the form
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The limit of the expression $(1+1/n)^n$ as $n$ tends to infinity:
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...alues of formulas of a given language, then a propositional function is any expression of the type $\Omega^n\to\Omega$ ($n\geq0$). These functions are interpreted
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and the expression via these zeros of the number of prime numbers not exceeding a real number
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An expression of the type
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Another expression for the condition number is $\kappa(A) = \dfrac{\sigma_{\max}}{\sigma_{\min
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an expression constructed from propositional variables (cf. [[Propositional variable|Prop
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The expression "exterior form of degree r on the space V" usually denotes a skew-symmetr
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See also: [[Composition (combinatorics)]], an expression of a natural numbers as an ordered sum of positive integers; [[Composition
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...l extension of the domain of summation or integration, or to reduce a given expression to another to which given formulas or transformations can be applied. Other
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The expression
In analogy with the Dirichlet kernel [[#References|[3]]], the expression
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...s, etc.). The value itself is called an interpretation of the corresponding expression.
...values of $x$, $y$ are, respectively, $6$ and $2.5$, then the value of the expression $x\cdot y$ is the number 15. As the value (interpretation) of a statement o
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