Examples of using Small parameter in English and their translations into Russian
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For this purpose, a system of two equations with a small parameter of high-order derivatives is considered.
The problems are solved for the zeroth and first orders of approximations of expansion terms in powers of a small parameter.
Studies of a system of differential equations with a small parameter at the highest derivative.
The small parameter at the highest derivative greatly complicates the study of initial-boundary problems.
Tikhonov also created the theory of differential equations with a small parameter at the highest derivative.
We used the expansion in the small parameter and deduced the system of first order equations corresponding to a zero approximation.
We consider the different regimes of motion, depending of the behavior of small parameters arising in problem.
Using small parameter method, this nonlinear problem is decomposed into problems in the first two approximations that consistently allowed.
He founded the theory of asymptotic analysis for differential equations with small parameter in the leading derivative.
They introduced the small parameter method, fixed points, integral invariants, variational equations, the convergence of the asymptotic expansions.
The exact solutions of the systems of equations for the zeroth andfirst orders of approximations with respect to a small parameter of the problem, are constructed in the two-dimensional case.
The article considers the problem of optimal stabilization for an evolution inclusion of subdifferential type with non-Lipschitz multi-valued interaction function of where- small parameter.
Tananyan H.G., Karapetyan G.A., The Application of Newton's diagram method in the method of small parameter for regular hypoelliptic equations in the half-space// Collection of Scientific Articles.
With this approach we construct a sequence that converges to the solution to the Cauchy problem for a singularly perturbed first-order weakly nonlinear differential equation with two small parameters.
The occurrence of a small parameter in the Schrödinger equations with potentials of three-dimensional and controlled optical lattice was investigated and the conditions of application of Maslov's asymptotic methods for solving these equations was determined.
Calculations are based on the NavierStokes equations using the expansion of the functions in powers of small parameter char acterizing the initial vorticity.
Tananyan H.G., Karapetyan G.A., The small parameter method for regular hypoelliptic equations with variable coefficients in the half-space// 3rd Russian-Armenian Conference on Mathematical Physics, Complex Analysis and Related Topics, Yerevan, 2010, pp. 95-99.
Since the Kullback-Leibler divergence has an absolute minimum 0for P Q{\displaystyle P=Q}, i.e. θ θ 0{\displaystyle\theta=\theta_{0}}, it changes only to second order in the small parameters Δ θ j{\displaystyle\Delta\theta^{j.
It was clearly stated the condition of thermal explosion as a result of termination of the steady state solution of the exothermic reaction in the heat sink, the critical reaction mode was identified with a branch point solutions,found a small parameter characterizing the asymptotic nature of the solution.
The parameter restores small details on the image.
At high value of the parameter small details can be defined as noise and, therefore, be smoothed.
Biclique-free graphs have been used in parameterized complexity to develop algorithms that are efficient for sparse graphs with suitably small input parameter values.
For small values of the parameter C the recognition accuracy was 60-70.
Small sample amounts facilitate formulation and parameter optimization.
To the right of each parameter editing field is a small button.
High stability, small shifting for B parameter and nominal resistance; with glass packaging, it can withstand the high temperature and high humidity.
High stability, small shifting for B parameter and nominal resistance; with glass packaging, it can withstand the high temperature and high humidity.
They provide high parameter stability of systems and have small sizes and effective enough cost.
On the front panel of the synthesizer there are 40 controls,a 27-key keyboard with multi-tap support, and a small 3-digit display for displaying parameter changes.
This model is defined using three geometric parameters- the angle of convergence(parameter Angle), the probe tip radius(parameter Radius1) and the radius of the small sphere parameter Radius2.