Sentence examples for equations can be represented from inspiring English sources

The general system of algebraic equations can be represented compactly as AX = C.

This set of equations can be represented by a matrix equation.

Alternatively, these equations can be represented by the state's probability distributions, ( p(x_{t} left| {x_{t - 1} } right).

Allometric equations can be represented in many ways, but the most commonly represented by a linear equation (Dudley and Fownes 1992).

Following the ideas in Li and Jin [25, 27] and Li and Liu [26], it is demonstrated that a system of bipolar max-(T_{L}) equations can be represented equivalently by a system of 0-1 mintegerteger linear inequalities.

Let the kinematic motion be designed to avoid the singular condition and to fulfill the geometrical relation of leg-grope (that is, the (({varvec{q}}, dot{{varvec{q}}}, ddot{{varvec{q}}})) are given at each time step); the above equations can be represented as follows.

The CD equation can be represented by ϵ*.

Mathematically, the sparse representation equation can be represented as y = Ax, in which the dictionary A is used to linearly represent signal y in a sparse manner.

If f s is the fraction of the solid in contact with the liquid, the Cassie equation can be represented by equation (3) [11]: cos θ C = f S 1 + cos θ − 1 (3)where θ C is effective contact angle in Cassie state.

On the assumption that the chaotic time history of a single variable in such an equation can be represented by the random superposition of deterministic structures, each being a single excursion around a homoclinic orbit, the power spectrum of the variable in question is predicted.

The linearized form of Temkin equation can be represented as q_{text{e}} = left( frac{RT}{b} right) times ln A + left( frac{RT}{b} right) times ln C_{text{e}} (3)where (RT/b) = B, R is universal gas constant, T is absolute temperature and b is Temkin isotherm constant.