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characteristic equation sentence in Hindi

"characteristic equation" meaning in Hindicharacteristic equation in a sentence
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  • That is, when a family of minimizing curves is constructed, the values of the optical length satisfy the characteristic equation corresponding the wave equation.
  • The characteristic equation has three real roots \ lambda _ i, i . e . not imaginary due to the symmetry of the stress tensor.
  • You deduce that Q and Q ^ {-1 } have the same characteristic equation; therefore, they have the same set of eigenvalues.
  • It is evident from the relay characteristic equations that a larger TMS will result in a slower clearance time for a given PMS ( I ) value.
  • To account for the dominance of the currents, the characteristic equation is frequently written in terms of current density, or current produced per unit cell area:
  • The characteristic roots ( roots of the characteristic equation ) also provide qualitative information about the behavior of the variable whose evolution is described by the dynamic equation.
  • The Cayley Hamilton theorem asserts that every matrix " A " satisfies its characteristic equation : if is the characteristic polynomial of, then 0 } }.
  • The characteristic equation of A is ( \ lambda-2 ) ^ 3 = 0, hence, \ lambda = 2 is an eigenvalue of algebraic multiplicity three.
  • The poles of \ mathcal { T } ( s ) are also said to be the roots of the " characteristic equation " D ( s ) = 0.
  • Because of the exponential in the characteristic equation, the DDE has, unlike the ODE case, an infinite number of eigenvalues, making a spectral analysis more involved.
  • Two linearly independent solutions for this ODE can be straightforwardly found using characteristic equations except for the case when the discriminant, b ^ 2-4 a c, vanishes.
  • Thus, the closed-loop poles of the closed-loop transfer function are the roots of the characteristic equation 1 + G ( s ) H ( s ) = 0.
  • Just as in the theory of the eigenvectors of an ordinary linear operator, the eigenbivectors of the Weyl tensor can occur with various characteristic equation, in this case a quartic equation.
  • To simplify these characteristic equations we can make the transformations such that \ frac { dr } { dt } = l _ i \ frac { du _ i } { dt}
  • As A . J . Coleman says, " He exhibited the characteristic equation of the Weyl group when Weyl was 3 years old and listed the orders of the Coxeter was born ."
  • The form of the characteristic equation is related to the planes, making it possible to relate its algebraic properties like repeated roots to the bivectors, where repeated bivector magnitudes have particular geometric interpretations.
  • While increasing " T " reduces the magnitude of the exponent in the characteristic equation, the value of " I 0 " increases exponentially with " T ".
  • For instance, if you've got a second-order diff equation which you solve the characteristic equation for, the real roots will represent exponential solutions and the imaginary ones will represent periodic ones.
  • If a root of the process's characteristic equation is larger than 1, then it is called an "'explosive process "', even though such processes are often inaccurately called unit roots processes.
  • In linear algebra, the "'Cayley Hamilton theorem "'( named after the mathematicians Arthur Cayley and William Rowan Hamilton ) states that every square matrix over a commutative ring ( such as the characteristic equation.
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