Sentence examples similar to assume a function is defined from inspiring English sources

where a function is defined by (3.4).

The conjugate function of a function is defined by (2.7).

Let a function be defined as (3.9).

A function is (Turing-) computable if it can be evaluated by a Turing machine which, when given an input to the function, eventually writes the value of the function for that input on its output tape, assuming that the function is defined for the input.

Assuming that the joints are ordered in a consecutive way, the function is defined as follows: (6).

We have assumed throughout that the set of propositions on which an agent's credence function is defined is finite.

The factor depicting basis functions was defined as a two-level factor with unequal variance across the levels and sphericity not assumed.

We assume that f is defined on ([ a,b ] ).

The expected cost of uncoded and coded data allocation strategies is given in [20], where stochastically distributed cache-enabled nodes in a given area are assumed and the cost is defined as a function of distance.

Hence the Lockean inversion function \(I\), assuming it is defined on all hues, would map some distinct hues (in particular, some bluish reds) to the same hue (in particular, the same yellowish green).

For example, assume that the N-function M is defined only at infinity, and let (M t)=t^{2}log t) and (B t)=tlog t), then (H t)=t log t) and (H^{-1}(t)=t(log t)^{-1}) at infinity (see, e.g., [30] or [20]).