characteristic root sentence in Hindi
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- Surnames could also be made from a Lithuanian root and a Slavic suffix, a Belarusian-characteristic root and a Polish-characteristic suffix, and so on.
- The roots ? of the characteristic equation are called characteristic roots or eigenvalues and the solution set is often referred to as the spectrum.
- But true cyclicality involves a permanent tendency to fluctuate, and this occurs if there is at least one pair of complex conjugate characteristic roots.
- This equation gives " k " characteristic roots \ lambda _ 1, \ dots, \ lambda _ k, for use in the solution equation
- "Advantageous buds, " said McLaughlin, muttering a forestry term in looking for characteristic root-bark signs that the tree may not intend to go gentle from the light.
- "Adventitious buds, " said McLaughlin, muttering a forestry term in looking for characteristic root-bark signs that the tree may not intend to go gentle from the light.
- 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.
- Finally, if any characteristic root has magnitude greater than 1, then " x " will diverge to infinity as time goes to infinity, or will fluctuate between increasingly large positive and negative values.
- If all characteristic roots are real, then all the coefficient values " c " " i " will also be real; but with non-real complex roots, in general some of these coefficients will also be non-real.
- If no characteristic roots share the same value, the solution of the homogeneous linear difference equation x _ t = a _ 1x _ { t-1 } + \ cdots + a _ nx _ { t-n } can be written in terms of the characteristic roots as
- If no characteristic roots share the same value, the solution of the homogeneous linear difference equation x _ t = a _ 1x _ { t-1 } + \ cdots + a _ nx _ { t-n } can be written in terms of the characteristic roots as
- In the solution equation x _ t = c _ 1 \ lambda _ 1 ^ t + \ cdots + c _ n \ lambda _ n ^ t, a term with real characteristic roots converges to 0 as " t " grows indefinitely large if the absolute value of the characteristic root is less than 1.
- In the solution equation x _ t = c _ 1 \ lambda _ 1 ^ t + \ cdots + c _ n \ lambda _ n ^ t, a term with real characteristic roots converges to 0 as " t " grows indefinitely large if the absolute value of the characteristic root is less than 1.
- A pair of terms with complex conjugate characteristic roots will converge to 0 with dampening fluctuations if the absolute value of the modulus " M " of the roots is less than 1; if the modulus equals 1 then constant amplitude fluctuations in the combined terms will persist; and if the modulus is greater than 1, the combined terms will show fluctuations of ever-increasing magnitude.
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