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  • ...onvolution integral_(ECE301Summer2008asan)|CT LTI systems: The convolution integral]]
    7 KB (921 words) - 06:08, 21 October 2011
  • The function is not time invariant because the integral will evaluate from negative infinity to twice the current time. This will
    3 KB (534 words) - 11:16, 30 January 2011
  • I used the integral y(t) = <math>\int_{-\infty}^\infty h(\tau)x(t-\tau)\,d\tau</math> for simpl
    1 KB (301 words) - 07:10, 5 January 2009
  • We start with part B by noticing that the integral of the delta function is a step function. So the energy over an infinite interval is just the integral of the step function <math>u(t + 2) - u(t - 2)</math>
    1 KB (221 words) - 10:59, 21 November 2008
  • The integral of the magnitude squared will always be positive for an odd signal.
    4 KB (777 words) - 11:49, 21 November 2008
  • ..., or '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 (322 words) - 17:27, 23 April 2013
  • :: Fourier Transform is for all signal. It represents signals as an integral of complex exponentials.
    1 KB (186 words) - 17:25, 23 April 2013
  • ...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 ...}{2} </math> it would be division by zero. I also don't understand why the integral for the inverse transform is taken of <math> -\pi\ </math> to <math> \pi\ <
    4 KB (688 words) - 12:34, 11 December 2008
  • ...as infinite number of infinitesimally close frequency components using the integral.
    3 KB (431 words) - 17:29, 23 April 2013
  • ...rite theorem if Green's Theorem. Which is the integral of Mdx+Ndy dA= the integral of M/dy - N/dx dA--[[User:Lmiddlet|Lmiddlet]] 21:15, 21 January 2009 (UTC)
    202 B (32 words) - 16:09, 28 January 2009
  • ===Integral===
    1 KB (169 words) - 21:29, 12 February 2009
  • ===Integral and derivative=== <math>\int{(sin{(x))}} dx=-cos{(x)}</math> is the integral and <math>\frac{d}{dx}(sin(x))=cos(x).</math> is the derivative
    453 B (79 words) - 11:02, 16 February 2009
  • ...he x for fy(y)...BUT integrating out the y is horrible. i know its a uv - integral of vdu...but the original expression stays...so i subtracted it over to the
    762 B (142 words) - 11:53, 1 April 2009
  • ...he right track, but to put it more succinctly you can observe that Z is an integral domain, meaning if an element isn't a unity then it is a nonzero element.<b
    617 B (111 words) - 22:41, 10 March 2009
  • Prove that there is no integral domain with exactly six elements ...clusion I drew from this was that a ring with exactly n elements is not an integral domain if n can be expressed as the product of distinct primes.<br>
    5 KB (834 words) - 12:23, 30 January 2011
  • ...ned in another ring has the same multiplication, addition, and zero, a non-integral domain cannot be contained in a field.<br>
    415 B (67 words) - 16:20, 25 March 2009
  • Because integration is a linear operation you can split the integral into two parts, i.e.<br />
    2 KB (292 words) - 06:18, 2 April 2009
  • Fields and an finite integral domains are one and the same. (THM 13.2) ...mains are commutative rings with unity and no zero-divisors (Definition of integral domain)
    3 KB (502 words) - 23:35, 1 April 2009
  • ...math> and <math>X(\omega+\theta)</math>, but that only got me as far as an integral in one variable, and a couple infinite sums in two other variables... --[[
    521 B (91 words) - 19:43, 19 April 2009
  • Differential and integral forms of these given below ! [[Integral|Integral form]]
    4 KB (505 words) - 09:57, 31 July 2009
  • ...e the process of this demonstration due to the limited environment to draw integral. That integral calculation might be tough one, but it would not be a big deal.
    1 KB (248 words) - 21:14, 4 October 2008
  • ...Then to find the PDF of the whole chord, i just used the formula with the integral and used the parameters of D for the limits and fx(x) as 2 times the L.
    513 B (104 words) - 13:45, 6 October 2008
  • ...2*sqrt(r^2-D^2). Next i said Fsub(X)(x)= L= 2*sqrt(r^2-D^2) and take its integral from 0 to 2r. This is just a thought dont know if its correct.
    382 B (79 words) - 18:08, 6 October 2008
  • because we are doing an integral of x, and the probability that x < y or x > 1 is 0, the limits of integrati
    1 KB (228 words) - 13:23, 22 November 2011
  • In other words, remember that the integral over all Y for every PDF must equal 1. So, since you know that Y must now b
    701 B (129 words) - 18:03, 15 October 2008
  • ** Okie, E[y] = the integral from -inf to +inf of (v*f(v) dv)
    306 B (55 words) - 17:19, 16 October 2008
  • ...be a possibility a corresponding x-coordinate is NOT in the triangle, the integral becomes:<br />
    1,016 B (166 words) - 13:27, 22 November 2011
  • take the integral from an integer k-1 to k of the function lambda*X*e^(-lambda*X) and that is
    213 B (45 words) - 06:37, 17 October 2008
  • P[H1] = integral from 0 to 1 of P(H1|Q=q)fQ(q)dq = integral from 0 to 1 of q(2q)dq
    194 B (46 words) - 09:55, 20 October 2008
  • P[H1] = Integral from 0 to 1 q(2q)dq P(H2 n H1) = Integral from 0 to 1 q^2(2q)dq
    204 B (46 words) - 12:59, 20 October 2008
  • Fu(U) = P[U<= u) = integral from -inf to +inf of 1 du = u
    120 B (29 words) - 16:51, 20 October 2008
  • *i.e. the first integral will look something like this: <math> f_z(z)= \int \limits_{0}^{\infty} \la
    2 KB (344 words) - 17:00, 21 October 2008
  • Another integral to convolute is <math> f_z(z)= \int \limits_{z}^{\infty} \lambda e^{-\lambd
    196 B (37 words) - 18:58, 21 October 2008
  • *E[1/x] = integral(<math>\lambda e^{-\lambda x}</math> * (1/x)) dx * this integral is undefined
    182 B (28 words) - 14:48, 10 November 2008
  • I would suggest splitting the double integral up. (Think of a double integral as a nested for loop -- integrating "slowly" over the outside loop and "qui
    1 KB (167 words) - 18:33, 9 December 2008
  • E[x-q(x))^2] = Integral from -inf to inf (x-q(x))^2*fx(x)dx =integral from 0 to 1 (x-q(x))^2dx
    253 B (48 words) - 08:44, 10 December 2008
  • Riemann Sum for the integral
    719 B (133 words) - 10:49, 14 October 2008
  • Evaluate the Integral:
    1 KB (259 words) - 08:19, 1 October 2008
  • Evaluate the integral: Good work. That last integral is easier to look at if you write <math>e^{-x}</math> in place of <math>\fr
    1 KB (260 words) - 07:50, 3 October 2008
  • ...a <math> \frac{t}{p} </math> so I would have a ''dt''. That led me to the integral below. Does it make sense and does anyone know how to integrate the proble I don't know how to use this integral, but I did some manipulation and got this:
    1 KB (270 words) - 09:43, 7 October 2008
  • A(t) = the integral of e^(-x) dx from 0 to t V(t) = the integral of Pi*[e^(-x)]^2 dx from 0 to t
    1 KB (245 words) - 18:31, 6 October 2008
  • ...with the limits of integration when you take the derivative of a definite integral?
    645 B (120 words) - 18:05, 6 October 2008
  • ...pi/2 instead of pi/4 because you have to bring out a 2 before you take the integral meaning that you have to multiply the first part of the answer from above b Now in the first integral substitute <math>v=2x</math> Therefore <math>dv=2dx</math> and when x=0, v=
    2 KB (315 words) - 14:23, 8 October 2008
  • <math>\int\frac{6*2du}{1+u^2}</math> an easily-integrated integral. :) [[User:Jhunsber|Jhunsber]]
    794 B (147 words) - 14:30, 8 October 2008
  • ...heir powers are equal), you can use this trick to drastically simplify the integral. It's a case that I don't think we covered in reading or lecture, but it d
    3 KB (584 words) - 10:12, 21 October 2008
  • ...it eventually, but the inverse sin just gets worse and worse. Actually the integral of the inverse sin is just the inverse sin minus some radical. So it just c This looks better... but then I can't figure out how to solve that integral. Anyone? I've tried using the bottom as dv and going back to the inverse si
    2 KB (289 words) - 12:27, 14 October 2008
  • ...es to <math>-\frac{3}{2}</math>, And I use partial fractions on the second integral: I solve for the first integral, leaving:
    1 KB (224 words) - 08:12, 14 October 2008
  • Again we want to estimate the error for this integral on the interval x is between 0 and 1
    3 KB (599 words) - 08:47, 13 November 2008
  • That works wonder if the first part of the integral is x to the third power, but in this case, you end up with an uneliminatabl
    858 B (146 words) - 11:37, 1 November 2008
  • ...ide of the equation the closer we get to <math>\frac{\pi}{4}</math>. This integral can therefore be called the error function.
    10 KB (1,816 words) - 15:32, 8 December 2008
  • ...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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