Sentence examples for involves a function of from inspiring English sources

Approximately, we have (23) E r g, g ^ ≈ E s g, g ^ E s g 2 E s g ^ 2. Note that the correlation involves a function of three correlated random variables (s g ^, g, s g 2, s g ^ 2 ) and we must acknowledge that the expected value of a function of random variables is not usually exactly equal to the same function evaluated at the expected values of the random variables [ 19].

More generally, functions arose as solutions of ordinary differential equations (involving a function of one variable and its derivatives) and partial differential equations (involving a function of several variables and derivatives with respect to these variables).

The estimation process involves finding a function of F x) that maps values in the space of x to values in the corresponding space of y.

He proposed an iterative scheme for a mapping satisfying a contractive condition which involves a gauge function of order r ≥ 1 and obtained error estimates as well.

A potential recovery mechanism involves a neuroprotective function of activated astrocytes that secreted glial-derived neurotrophic factor (GDNF) following 30-day recovery.

In 1892 [14], Hadamard presented a concept of fractional derivatives, which is different from Caputo and Riemann-Liouville type fractional derivatives and involves a logarithmic function of an arbitrary exponent in the integral kernel.

The number of such scales involved is a function of the parameters of the model.

In relatively simple organisms, such as bacteria and protists, quality could be related to metabolic potential: the ability to create biomass per unit biomass of the organisms involved as a function of concentrations of environmental nutrients [11] or temperature [25].

Similarly, ƒ x,y) = z is an identity statement involving a 'binary' function of two variables.

In this paper, we have presented several Khun-Tucker type sufficient optimality conditions and Mond-Weir type duality results for a nondifferentiable multiobjective problem involving a support function of a compact convex set.

Since fusion was thus detectable when GsbN was induced ectopically in differentiated neurons, it suggested that these axonal guidance problems involve a late function of GsbN.