Sentence examples for definition of formula from inspiring English sources

At this point, we may adapt the usual recursive definition of formula for the expanded language.

Then modify the definition of formula, to allow these new intension terms to appear in places we previously allowed intension variables to appear.

Note that with \eqref{whereformula} added to the definition of formula, \ \textsf{ where }\) conditions can appear in some of the \ \phi_i\), and so means of preventing inappropriate interaction between nested conditions is needed.

Before we modify the definition of formula for the expanded language, we may give a recursive definition of a term of the language of the classical theory of quantification and identity.

The primary purpose of this study was to estimate effect sizes (ES) for different IIV definitions and to compare these values to identify the most robust definition of (formula for) IIV derived from cognitive tests, as well as to the ES for either tests' total score.

According to the definition of formula, Pearson's correlation coefficient calculates linear correlation between two variables and has an invariant property in statistics.

The definition of a formula of the language of pure quantificational logic proceeds recursively as follows.

Before we state the definition of a "formula", a word of caution is in order.

The usual recursive definition of a formula for propositional logic is appropriately supplemented with a clause that states that $\forall p \ A$ is a formula whenever $A$ is a formula.

end{aligned} (4.2)In the case of an even dimension N, the domain of definition of this formula is a complex torus (T^+ := T_1 times T_0^+) where (T_1 = (mathbb {C}^times )^n) and (T_0^+ subset (mathbb {C}^times )^n) is the open subset determined by the conditions (|t_{0,j} | = mathrm {e}^{ mathfrak {Re}, phi _j} > 1) for all (j,).

The title of Licht owes something to Aurobindo's theory of "Agni" (the Hindu and Vedic fire deity), developed from two basic premises of nuclear physics; Stockhausen's definition of a formula and, especially, his conception of the Licht superformula, also owes a great deal to Sri Aurobindo's category of the "supramental" (Peters 2003, 227).