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implicitly
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The answer IMPLICITLY has 1 possible clue(s) in existing crosswords.
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Definitions of implicitly in various dictionaries:
adv - without doubting or questioning
adv - without ever expressing so clearly
IMPLICITLY - In mathematics, an implicit equation is a relation of the form R ( x 1 ...
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Nov 15 2007 The Guardian - Quick crossword |
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In an implicit or implied manner. |
in a way that is not directly expressed tacitly. |
without qualification: absolutely. |
without ever expressing so clearly |
without doubting or questioning |
in a way that is suggested but not communicated directly: |
completely: |
Implicitly might refer to |
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In mathematics, an implicit equation is a relation of the form * * * * R * ( * * x * * 1 * * * , * … * , * * x * * n * * * ) * = * 0 * * * {\displaystyle R(x_{1},\ldots ,x_{n})=0} * , where * * * * R * * * {\displaystyle R} * is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is * * * * * x * * 2 * * * + * * y * * 2 * * * − * 1 * = * 0 * * * {\displaystyle x^{2}+y^{2}-1=0} * . * An Implicit function is a function that is defined implicitly by an implicit equation, by associating one of the variables (the value) with the others (the arguments). Thus, an implicit function for * * * * y * * * {\displaystyle y} * in the context of the unit circle is defined implicitly by * * * * * x * * 2 * * * + * f * ( * x * * ) * * 2 * * * − * 1 * = * 0 * * * {\displaystyle x^{2}+f(x)^{2}-1=0} * . This implicit equation defines * * * * f * * * {\displaystyle f} * as a function of * * * * x * * * {\displaystyle x} * only if * * * * − * 1 * ≤ * x * ≤ * 1 * * * {\displaystyle -1\leq x\leq 1} * and one considers only non-negative (or non-positive) values for the values of the function. * The implicit function theorem provides conditions under which some kinds of relations define an implicit function, namely relations defined as the indicator function of the zero set of some continuously differentiable multivariate function. |