• ...te integral converge for anyone? Also, if you are having trouble with the integral, take a look at the derivatives of inverse hyperbolic functions. --[[User:
    3 KB (531 words) - 09:53, 28 October 2008
  • ...x = 7 or 8, and then decreases as x goes to infinity. In order to use the Integral test, however, doesn't the function have to be continually decreasing over I got that this one diverged by Integral Test after I ended up using the integral...Mathematica said the same. Anyone agree that it diverges? I just want t
    1 KB (190 words) - 12:16, 3 November 2008
  • ...amental theorem of calculus, because it allows one to compute the definite integral of a function by using any one of its infinitely many anti derivatives. Thi
    343 B (52 words) - 17:32, 14 September 2008
  • ''computation of the integral is the same as shown in the section above''
    650 B (86 words) - 06:49, 3 September 2008
  • Since we already know that the integral equals <math> 2\pi </math>, dividing that by <math> 4\pi </math> will yield
    897 B (142 words) - 10:00, 4 September 2008
  • The solution to this integral is 1/4.
    329 B (60 words) - 14:39, 4 September 2008
  • ...alogue linear electronics a capacitor is represented mathematically by the integral <math> y(t) = 1/C\int_{-\infty}^t x(\tau) d\tau </math> which is also a sys
    1 KB (182 words) - 19:20, 18 September 2008
  • we can determine the output using convolution integral
    1 KB (215 words) - 14:56, 26 September 2008
  • ...Fourier transform X(w) and compute its inverse Fourier transform using the integral formula. (Make it difficult).
    123 B (19 words) - 11:20, 3 October 2008
  • Specify a signal x(t) and compute its Fourier transform using the integral formula.( Make a hard one)
    913 B (139 words) - 12:24, 16 September 2013
  • Compute the Fourier transform of the following CT signal using the integral formula:
    2 KB (279 words) - 12:25, 16 September 2013
  • Compute the inverse Fourier transform of the following signal using the integral formula:
    2 KB (384 words) - 12:42, 16 September 2013
  • Specify a signal x(t) and compute its Fourier transform using the integral formula. (Make sure your signal is not trivial to transform; it should be h By the integral formula:
    2 KB (263 words) - 12:30, 16 September 2013
  • ...Fourier transform X(w) and compute its inverse Fourier transform using the integral formula. (Make sure your signal is not trivial to transform; it should be h By the integral formula:
    2 KB (379 words) - 12:47, 16 September 2013
  • ...pposed to compute. The setup is typically straightforward -- put it in an integral (except in a few hard-to-calculate cases) as per the formula, change the si
    667 B (107 words) - 18:49, 7 October 2008
  • So very similar to part a we can take the integral and use the sifting property of the delta function Paying special attention to the first integral, the resulting exponential is negative because the delta function is time r
    8 KB (1,324 words) - 18:59, 8 October 2008
  • ==Transform by integral==
    1 KB (177 words) - 12:35, 16 September 2013
  • ...DT signal to the frequency domain with a summation and back again with an integral. Is information conserved here?
    426 B (77 words) - 14:22, 8 October 2008
  • I don't know how to evaluate this integral, I'm not sure if it can be. Any thoughts? The integral as it stands cannot be evaluated. This is one of those problems where you
    3 KB (449 words) - 17:07, 8 October 2008
  • ...er transforms are pretty straight forward when you set up them up with the integral and simplifying/combining terms, but actually computing them can be difficu
    563 B (100 words) - 14:43, 8 October 2008
  • .../math> does not depend on "<math> \tau </math>" it can be taken out of the integral.
    1 KB (256 words) - 09:42, 23 October 2008
  • ...the F.T. of x(t) has deltas in it. Do you know how to get deltas out of an integral? Spending 10 seconds thinking about the problem can save you 10 minutes dow
    3 KB (665 words) - 19:39, 23 October 2008
  • We can now see that if if <math>2+a\leq 0</math>, the integral diverges
    844 B (158 words) - 08:41, 17 November 2008
  • .../math> does not depend on "<math> \tau </math>" it can be taken out of the integral.
    927 B (170 words) - 09:59, 17 November 2008
  • If 2+a<=0 then integral diverges
    635 B (128 words) - 18:14, 17 November 2008
  • If <math>a+b\leq 0</math>, then the integral Diverges
    4 KB (499 words) - 11:29, 16 September 2013
  • if <math> q+a \geq 0, </math> integral diverges
    1 KB (198 words) - 09:15, 23 November 2008
  • ...can conclude that if <math>2 + a</math> is greater or equal to 0 then the integral diverges. Else:
    728 B (154 words) - 14:35, 23 November 2008
  • if <math>b+a\leq 0\!</math> or <math>Re(s) \leq -b\!</math>, then the integral diverges.
    3 KB (553 words) - 17:12, 24 November 2008
  • The inverse Laplace transform is given by the following complex integral ...ses if its Laplace transform can be taken, other than to say the defining integral converges. It is however easy to give theorems on cases where it may or may
    3 KB (438 words) - 16:26, 24 November 2008
  • The range of values of s for which the integral in the equation above converges is referred to as the region of convergence
    2 KB (291 words) - 19:18, 24 November 2008
  • ...ath> s = \sigma + j\omega </math> in the ROC. The formal evaluation of the integral requires contour integration in the complex plane which is beyond the scope This is a closed loop integral around a CCW rotation centered at the origin with radius r. r can be any va
    21 KB (3,312 words) - 11:58, 5 December 2008
  • This is a closed loop integral around a CCW rotation centered at the origin with radius r. r can be any va
    6 KB (938 words) - 06:59, 8 December 2008
  • ...ath> s = \sigma + j\omega </math> in the ROC. The formal evaluation of the integral requires contour integration in the complex plane which is beyond the scope
    5 KB (911 words) - 07:54, 8 December 2008
  • So very similar to part a we can take the integral and use the sifting property of the delta function Paying special attention to the first integral, the resulting exponential is negative because the delta function is time r
    976 B (176 words) - 12:08, 12 December 2008
  • Apply the inverse fourier transform integral:
    1 KB (172 words) - 12:10, 12 December 2008
  • The entire integral:
    1 KB (242 words) - 12:11, 12 December 2008
  • (E.g., google for "integral latex command".)
    8 KB (1,159 words) - 10:50, 16 December 2009
  • ...a closed interval [a,b]. Let F be the function for all x in [a,b] by F(x)=Integral from a to x of f(t) dt. Then F is continuous on [a,b] and differental on th ...val [a, b]. Let F be an antiderivative of f, for all x in [a, b], Then the integral from a to b of f(x) dx equals F(a)-F(b).
    739 B (153 words) - 15:10, 1 September 2008
  • ...a closed interval [a,b]. Let F be the function for all x in [a,b] by F(x)=Integral from a to x of f(t) dt. Then F is continuous on [a,b] and differental on th ...val [a, b]. Let F be an antiderivative of f, for all x in [a, b], Then the integral from a to b of f(x) dx equals F(a)-F(b).
    644 B (138 words) - 15:15, 1 September 2008
  • ...a closed interval [a,b]. Let F be the function for all x in [a,b] by F(x)=Integral from a to x of f(t) dt. Then F is continuous on [a,b] and differental on th ...val [a, b]. Let F be an antiderivative of f, for all x in [a, b], Then the integral from a to b of f(x) dx equals F(a)-F(b).
    643 B (138 words) - 15:17, 1 September 2008
  • The fundamental theorem of calculus states that the integral of a function f over the interval [a, b] can be calculated by finding an an integral from a to b of f(x) dx = F(b) - F(a)
    307 B (59 words) - 06:09, 8 September 2008
  • is an integral domain, and hence has no zero-divisors) nor a unit.
    585 B (86 words) - 09:51, 21 March 2013
  • Prove that there is no integral domain with exactly six elements ...here to begin on this problem. I do not know how to prove that there is no integral domain with six elements. A little help would be nice. Thanks
    3 KB (460 words) - 09:45, 21 March 2013
  • ...another ring they have the same multiplication, addition, and zero, a non-integral domain can't be contained in a field.
    495 B (81 words) - 17:09, 29 October 2008
  • ...sift' out''', hence the name, '''a particular value of the function in the integral''' at an exact instant in time. Doesn't the function do that by itself outside of the integral anyways?
    2 KB (305 words) - 11:17, 24 March 2008
  • ...m and therefore it is a variable and not a constant. So when you write the integral it is of the form <math>\int{x e^x}dx</math> and not <math>\int{c e^x}dx </ ...then at pi/2 it would be division by zero. I also don't understand why the integral for the inverse transform is taken of -pi to pi when the solution key previ
    4 KB (683 words) - 21:46, 6 April 2008
  • <math>E(u)=\int _{0} ^{1} ||\nabla u||^2 dx</math> (3-13) Dirichlet integral
    8 KB (1,337 words) - 08:44, 17 January 2013
  • The function is not time invariant because the integral will evaluate from negative infinity to twice the current time. This will
    3 KB (499 words) - 17:51, 16 June 2008
  • I used the integral y(t) = <math>\int_{-\infty}^\infty h(\tau)x(t-\tau)\,d\tau</math> for simpl
    1 KB (286 words) - 23:53, 17 June 2008

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Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva