• ...nn integrable, hence the Lebesgue integral will be the same as the Riemman integral.
    2 KB (282 words) - 05:53, 11 June 2013
  • <math>f = f*f = \int_{\mathbb{R}} f(x-y)f(y)dy = 0 </math> because the integral of something that is zero a.e. is zero.
    1 KB (168 words) - 05:53, 11 June 2013
  • Proof. First we find the integral by using substition and the result of 7.3:
    4 KB (657 words) - 05:53, 11 June 2013
  • <i>Solution:</i> Following the hint, we consider the integral <math>\phi ( \xi ) = \frac{1}{\sqrt{4\pi}}\int_{{\mathbb R}} \cos (2\pi x \ ...ect to <math>\xi</math> (in the sense that we can differentiate inside the integral).<br>
    4 KB (797 words) - 05:54, 11 June 2013
  • ...aplace transform $X(s)$ of a given $x(t)$ depends on whether the transform integral converges ...of a sinusoid which is bounded and has no effect on the convergence of the integral).
    3 KB (494 words) - 04:22, 30 July 2009
  • c[n] = 1/T * integral{q(t) * exp(-j*2*pi*n/T*t) dt} c[n] = 1/T * integral{T * SUM{ d(t - k*T) } * exp(-j*2*pi*n/T*t) dt}
    1 KB (196 words) - 04:17, 30 July 2009
  • Since priors are independent of ''x'', we can take priors out of the integral. Let the integral part in eq.(2.8) be the Chernoff <span class="texhtml">β</span>-coefficien
    17 KB (2,590 words) - 10:45, 22 January 2015
  • in this case the integral is around a counter-clockwise clothed path encircling the origin of the com
    2 KB (252 words) - 06:55, 16 September 2013
  • The trick to step two is to realize that taking the integral of a weighted sum of impulses is simply the sum of the weights. The result
    8 KB (1,452 words) - 06:49, 16 September 2013
  • ...nderpinnings of real numbers, or even being concerned with knowing how the integral formula is derived. A good student who really wants to understand the mater ...fferent phenomena. There are exponential functions, logarithmic functions, integral functions, differential operators, matrix functions, hyperbolic functions,
    27 KB (4,384 words) - 17:47, 26 October 2009
  • ...ically--some will be indifferent, and will allow you to use software or an integral table, but others might be less merciful. In any case, this is not a class
    6 KB (1,067 words) - 18:07, 26 October 2009
  • ...nity, of the integral showing that the integrand approaches 0 and thus the integral goes to 0?--[[User:Apdelanc|Adrian Delancy]]
    3 KB (578 words) - 09:12, 7 October 2009
  • Evaluate the integral to get:
    3 KB (613 words) - 15:22, 11 October 2009
  • Professor Bell, You showed in class that we can't show that the integral around the curved portion for problem VI.12.2 goes to zero using the basic ...is integral must be the negative of the integral found in (I). To do this integral, let <math>z=t\exp(i\frac{\pi}{8})</math>. The real part is what we are lo
    2 KB (359 words) - 05:56, 21 October 2009
  • ..., 0<=t<=R), you integrate <math>1/(t^2+a^2)</math> from 0 to infinity. The integral of <math>1/(t^2+a^2)</math> is <math>arctan(t/a)/a</math>. Next show that the integral of 'circle portion' is 0.
    2 KB (290 words) - 06:06, 30 October 2009
  • ...nitial; -moz-background-inline-policy: -moz-initial;" colspan="2" | Vector Integral formulas
    13 KB (1,854 words) - 11:58, 24 February 2015
  • *Also, a close look at the above integral, shows that it is simply a convolution of the mother wavelet and the signal
    10 KB (1,646 words) - 11:26, 18 March 2013
  • ...and use the substitution <math>exp(i\theta)=z</math>. This expresses the integral in the complex plane along the unit circle in the counterclockwise directio
    4 KB (631 words) - 11:08, 14 December 2009
  • ...owing that <math>{f}</math> is analytic on <math>\Omega</math> we know the integral over <math>\gamma</math> is zero. Letting <math>\omega\in\gamma</math> we
    722 B (130 words) - 11:44, 8 February 2010
  • ...ic package: http://stat.ethz.ch/CRAN/web/packages/elliptic/index.html, for integral with complex numbers.
    4 KB (596 words) - 13:17, 12 November 2010
  • === '''<br> <u>''I now propose a question that is food for thought (and integral...!) for the rest of this derivation.''</u>''' ===
    7 KB (1,168 words) - 07:19, 3 July 2012
  • <br/><br/>4. Convolution sum/integral, properties of convolution
    3 KB (394 words) - 07:08, 4 May 2010
  • == Calculate the integral of y = f(x) in [a,b] using Riemann Sum == % This function is used to calculate the integral of curve(x,y) in the
    650 B (104 words) - 05:29, 6 May 2010
  • ...hat is called a "dummy variable", just like the integration variable in an integral. Now, the fact that the left hand side depends on n, and the right-hand sid
    5 KB (797 words) - 09:43, 29 December 2010
  • ...ponential (using [[More_on_Eulers_formula|Euler's formula]]), and then the integral becomes trivial. </span> --[[User:Mboutin|Mboutin]] 08:15, 29 September 20
    6 KB (999 words) - 13:00, 16 September 2013
  • via convolution, you'll need to compute the convolution integral:
    2 KB (411 words) - 15:21, 19 October 2010
  • ...again after reading Prof. Bell's notes) and I keep getting 2/3 out of the integral rather than the necessary 0. Whether it's cos^3 or x^3, I don't see any way ...correctly. For example, for #1, I've calculated c4 as c4 = [((2*4)+1)/2] * integral from -1 to 1 of (7x^4-6x^2)(P_4(x)) dx, where P_4= (1/8)(35x^4-30x^2+3), an
    5 KB (960 words) - 11:00, 27 October 2010
  • and convert the integral to one in x over the interval [-1,1], where you can use the orthogonality
    2 KB (404 words) - 19:28, 26 October 2010
  • that the integral from minus L to plus L of an even function is equal to two times the integral from zero to L.
    2 KB (402 words) - 18:48, 2 November 2010
  • ...egral would converge to the value at the middle of a jump. Hence, if that integral is supposed to equal the given function, it would have to be pi/2 at zero. When I find A or B, what should the integral range be? (0 to pi?)
    8 KB (1,441 words) - 15:52, 10 November 2010
  • [[Category:integral]]
    6 KB (926 words) - 18:06, 26 February 2015
  • [[Category:integral]]
    8 KB (1,517 words) - 17:56, 26 February 2015
  • [[Category:integral]] ...licy: -moz-initial; font-size: 110%;" colspan="2" | Definition of Definite Integral
    6 KB (920 words) - 12:21, 24 February 2015
  • ...zero because the functions inside are odd, and sometimes you can reduce an integral from minus infinity ...an issue getting the solution in the back of the book. When I evaluate the integral for Bn using integration by parts, I get Bn = 4/(n^2 pi*2) * sin(n*pi/L). F
    4 KB (773 words) - 17:23, 8 December 2010
  • ...f of <math class="inline">\mathbf{Z}</math> . You can leave your answer in integral form.
    7 KB (1,192 words) - 08:22, 27 June 2012
  • You'll have to split up the integral when calculating A_n. You'll get an ugly integral evaluation but most terms cancel and it leaves you with 3 sine terms that t
    6 KB (1,054 words) - 09:24, 1 December 2010
  • === '''<br> <u>''I now propose a question that is food for thought (and integral...!) for the rest of this derivation.''</u>''' ===
    5 KB (883 words) - 21:12, 7 December 2010
  • === '''<br> <u>''I now propose a question that is food for thought (and integral...!) for the rest of this derivation.''</u>''' ===
    5 KB (882 words) - 21:30, 7 December 2010
  • ...A<sup>T</sup>. Ask Momin if your confused. This is another theorem that is integral for this proof).''' ===
    4 KB (757 words) - 07:18, 3 July 2012
  • Now ask yourself what that 2 is doing there in the cosine term inside the integral. making it twice the integral from zero to infinity, but even
    7 KB (1,359 words) - 02:59, 14 December 2010
  • ...showed that the output of a DT LTI system can be written as a convolution integral between the input signal and the unit impulse response of the system. We c
    2 KB (253 words) - 14:10, 28 February 2011
  • ...ple where we computed the output of a CT LTI system using the convolution (integral) of the input with the unit impulse response. We then began discussing the
    2 KB (322 words) - 14:10, 28 February 2011
  • ...rder. In other words, is there a good way of determining if computing the integral (wrt tau) of x(tau)h(t-tau) is easier than computing the same of h(tau)x(t-
    3 KB (481 words) - 07:39, 6 February 2011
  • ...t. This way, the future values of the input signal are not influencing the integral. But when we say h(t-t') must be zero whenever t'>t, this is the same as
    10 KB (1,922 words) - 13:46, 2 February 2011
  • ...T periodic signal, emphasizing that sometimes one does not need to use the integral formula. I made the distinction between the Fourier series coefficients, an
    2 KB (287 words) - 14:11, 28 February 2011
  • ...\frac{2\pi}{T})t}dt </math> where T = 20. You can change the limits of the integral to -10 and 10 since the function is periodic. We just need it over one peri
    4 KB (594 words) - 12:59, 16 September 2013
  • ...to use the standard estimate to do this. Write out the definition of the integral to find that ...ze that the line connecting the endpoints is under the graph. Compare the integral with what you would get by replacing cos_2t by the simple linear function u
    1 KB (267 words) - 11:21, 11 February 2011
  • ...nd that we cannot compute the Fourier transform of such signals using the integral formula. However, we were able to guess the answer and give a mathematical
    2 KB (215 words) - 14:12, 28 February 2011
  • ...ts. If the student used the definition of the Fourier transform (i.e., the integral formula) to obtain the Fourier transform of either the constant function 1
    7 KB (1,161 words) - 18:50, 4 March 2011
  • Use the definition of the inverse DT Fourier transform (i.e., the integral formula) to compute the inverse Discrete-time Fourier transform of the sign
    4 KB (695 words) - 18:23, 7 March 2011

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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