Sentence examples for analyze the equation from inspiring English sources

This paper is focused on a generalized version of the matrix Riccati equation where the matrix that in the classical Riccati equation is inverted can be singular: we analyze the equation obtained by substituting the inverse operator with the Moore-Penrose pseudo-inverse.

We see that the equation (T_{n}[0] u(t)=0) is not disconjugate on ([0,1]), but if we analyze the equation (T_{n}[-600] u(t)=0) we can affirm, by means of Theorem 2.3, that it is disconjugate on ([0,1]).

At this stage, the various strategies begin to differ in the way that they implement and analyze the equations.

Numerical results analyzing the equation are discussed and presented graphically.

Smith, who also rode Jostle when she ran out of speed in the Mother Goose, analyzed the equation this way: "I know it sounds weird, but horses seem to be tougher on the lead when you're going 12 furlongs as opposed to 10.

By analyzing the equation we obtain the conservation laws of three-dimensional Rossby solitary waves.

By analyzing the equation, students can answer the question; Which other factors, in addition to Tm, will influence ΔGunf?

It is possible to arrive at a similar conclusion by analyzing the equation: (15) which was derived in Ref. [ 49] from equations (3) and (6), and represents a condition under which an individual will vaccinate if s/he has at least one infectious neighbor in the Basic Model.

The influences of chemical composition and temperature on the thermal expansion coefficient were analyzed; the equations obtained were verified by using several kinds of steels.

Their trajectories can be investigated by analyzing the equations that define its behavior (under constant density and isothermal operations).

Analyzing the equations for λ 1 and λ 2 shows at most a single switch between the extreme values of u can occur in the present model.