jump discontinuity sentence in Hindi
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- Conversely, suppose " f " ( " x " ) is piecewise continuous on the positive real numbers, taking a value halfway between the limit values at any jump discontinuities, and suppose the integral
- Given a confidence envelope for F, it can be shown that the CDF within the envelope that minimizes the variance begins on the lower envelope, has a jump discontinuity to the upper envelope, and then continues along the upper envelope.
- However, from your description which is not perfectly clear; what is the meaning of " negated " here ? there appears to be a jump discontinuity there .-- Lambiam 15 : 46, 23 July 2007 ( UTC)
- (The numerical value of } } is . ) Here runs over the nontrivial zeros of the zeta function, and is the same as, except that at its jump discontinuities ( the prime powers ) it takes the value halfway between the values to the left and the right:
- I could believe that a function with a jump discontinuity could be represented by a infinite series of some basis functions ( e . g ., the Dirac delta ), but that approximating a square wave with a Fourier periodic series would result in an extra spike jump discontinuity was counterintuitive.
- I could believe that a function with a jump discontinuity could be represented by a infinite series of some basis functions ( e . g ., the Dirac delta ), but that approximating a square wave with a Fourier periodic series would result in an extra spike jump discontinuity was counterintuitive.
- Often phase unwrapping is employed along either or both the time axis, ?, and frequency axis, ?, to suppress any jump discontinuity of the phase result of the STFT . The time index ? is normally considered to be " " slow " " time and usually not expressed in as high resolution as time " t ".
- However, " g " may have jump discontinuities, or may have derivative zero " almost " everywhere while still being continuous and increasing ( for example, " g " could be the Cantor function ), in either of which cases the Riemann Stieltjes integral is not captured by any expression involving derivatives of " g ".
- However, if " f " decays only polynomially quickly, then it may be necessary to use a further step of Clenshaw Curtis quadrature to obtain exponential accuracy of the remapped integral instead of the trapezoidal rule, depending on more details of the limiting properties of " f " : the problem is that, although " f " ( " L " cot? ) / sin 2 ( ? ) is indeed periodic with period ?, it is not necessarily smooth at the endpoints if all the derivatives do not vanish there [ e . g . the function " f " ( " x " ) = tanh ( " x " 3 ) / " x " 3 decays as 1 / " x " 3 but has a jump discontinuity in the slope of the remapped function at ? = 0 and ? ].
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