Sentence examples for numerical formulas are from inspiring English sources

The individual propositions of arithmetic, or what Kant calls "numerical formulas," are in fact singular, which is why he claims that arithmetic does not have axioms as geometry does.

Using the volume content of lightweight aggregate as the model parameter, a numerical formula was finally proposed to describe the stress-strain relation of lightweight concrete.

In case of restricting the relation between the parents and the offspring as each one in order to learn in real time, a new numerical formula is proposed to solve the difficulty of adjusting the search region as reducing the individual by using the error generated from the sensor of the dynamic system.

The numerical formula is as follows [25]: n = ( C × t e ) 2 (2).

The numerical formula is derived by integration over two steps, where the integrals of terms on the right-hand side of (1) are approximated via the trapezoidal rule and the midpoint rule, respectively.

Through this teaching, the learners understood the following things: (1) a problem was composed of two existence sentences and one relational sentence; (2) a sentence represented a story type and a relation among sentences, and there was a required sentence order based on the specific story type; and (3) a numerical formula was needed to represent the story type and find the answer.

The numerical formula is as follows [ 25]: (2) n = (C × t e ) 2 Where n = the number of units required; C = coefficient of variation - a normalised measure of dispersion of a probability distribution and which is defined as the ratio of the standard deviation to the mean; e = required accuracy; t = student's t.

Based on the present numerical results, empirical formulas are proposed to compute the deflection magnification factors that account for the difference between the deflections due to the finite element analysis and the beam theory.

Based on experimental and numerical studies, formulas were established to calculate the stability bearing capacity and maximum deformation of the top of steel box columns under cyclic loading in order to improve their seismic design.

The numerical solutions of these formulas are very useful to design the arrangements of the external neutron source and the neutron detector and to investigate the contamination of the spatial effect in the measured neutron correlation factors, Y∞ and X∞.

As for applications, new error bounds for some numerical quadrature formulae are derived based on the inequalities established.