Search results for "Integral" - Rhea

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• Table of indefinite integrals
  [[Category:integral]]
  6 KB (926 words) - 18:06, 26 February 2015
• Table of indefinite quadratic
  [[Category:integral]]
  8 KB (1,517 words) - 17:56, 26 February 2015
• Table of definite integrals
  [[Category:integral]] ...licy: -moz-initial; font-size: 110%;" colspan="2" | Definition of Definite Integral
  6 KB (920 words) - 12:21, 24 February 2015
• HWK14MA527Fall2010
  ...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
• ECE600 QE 2000 August
  ...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
• HWK13MA527Fall2010
  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
• Proof that det(A)=det(A^T)
  === '''<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
• To Show that det(A)=det(A^T)
  === '''<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
• DimVplusdimVorthisn
  ...A^T. Ask Momin if your confused. This is another theorem that is integral for this proof).''' ===
  4 KB (757 words) - 07:18, 3 July 2012
• PracFMA527Fall2010
  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
• Lecture8ECE301S11
  ...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
• Lecture9ECE301S11
  ...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
• Discussion HW3 ECE301 Spring2011
  ...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
• Lecture 10 online ECE301S11 Prof Boutin
  ...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
• Lecture12ECE301S11
  ...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
• Fourier series coefficients pulse train CT ECE301S11
  ...\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
• HWK4MA530Spring2011
  ...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
• Lecture18ECE301S11
  ...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
• HW6 ECE301 Spring2011 Prof Boutin
  ...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
• HW7 ECE301 Spring2011 Prof Boutin
  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
• HW8 ECE301 Spring2011 Prof Boutin
  ...he computation of the Fourier transform of the discrete-time signal. If an integral was used in place of a summation, give zero points. Check every step of the ...of the inverse Fourier transform. If a summation was used in place of the integral, give zero points. Check every step of the computation and remove point fo
  6 KB (1,090 words) - 07:36, 22 March 2011
• HW7 ECE301 Spring2011 Prof Boutin Solutions
  Now, we find the unit impulse response by using the IDTFT integral.
  10 KB (1,783 words) - 08:23, 21 March 2011
• Hw1 ECE438F11
  ...indirect way to obtain this FT. You just need to observe that u(t) is the integral of a dirac delta from <math>-\infty</math> to t, then use the properties of
  2 KB (400 words) - 03:53, 31 August 2013
• HW10 ECE301 Spring2011 Prof Boutin Solutions
  ...ment: Since the FT of <math>e^{2t}x(t)</math> converges then the following integral converges: :<span style="color:blue">Comparing the above integral with the definition of the Laplace transform we notice that it is <math>X(s
  12 KB (2,109 words) - 05:58, 22 April 2011
• Nyquist rate after multiplicating sinc signals ECE301S11
  The first step function in the integral is 0 for <math> \omega < \theta - 3\pi </math>. The second step function in the integral is 0 for <math> \omega < \theta + 3\pi </math>.
  2 KB (336 words) - 10:31, 11 November 2011
• Textbook Review: Fundamentals of Signals
  ...of the derivations. Following this is a section on using the convolution integral with interconnected systems, then a section on system responses. The chapt
  5 KB (854 words) - 10:53, 6 May 2012
• ConvolutionVideoSpring11
  ...unction and thus the amount of overlapped area, which is calculated by the integral.<br><br>
  2 KB (358 words) - 10:50, 6 May 2012
• VideoTutorialConvolutionMATLABCodeExample
  ...color', 'yellow');<br> hold on<br> plot(X, F1, 'b', X, F2_shifted, 'r', X, integral, 'k', [offset offset], [0 2], 'k:')<br> hold off<br> axis image<br> axis([-
  1 KB (212 words) - 19:16, 5 May 2011
• 2011 Fall MA 181 Bell
  [[The integral of sin(x) the hard way! MA181Fall2011Bell]]
  481 B (67 words) - 08:43, 28 September 2011
• Practice CTFT from omega to f step function
  ...e definition and substitution of <math>cx</math> for <math>x</math> in the integral.
  7 KB (1,143 words) - 09:44, 11 November 2013
• Compute CSFT of 2D sinc function ECE438F11
  ...le="color:red">Instructor's comment: The "rect" function in red inside the integral on the first line was added by me. -pm </span>
  4 KB (678 words) - 12:58, 26 November 2013
• On "Pi is Wrong" and the Tau Movement
  ...ou must deal with unnecessary 2! Professor Palais noted that "... Cauchy's integral formula and Fourier series formulas all begin with 1/2<math>\pi</math>, Sti
  5 KB (820 words) - 08:33, 11 December 2011
• Lecture 27 - Clustering by finding valleys of densities OldKiwi
  <math>E(u)=\int _{0} ^{1} ||\nabla u||^2 dx</math> (3-13) Dirichlet integral
  8 KB (1,313 words) - 11:24, 10 June 2013
• Eric Lewis Bonus 2
  ...at approximates the 0 value of the function that it multiplies with in the integral. The dirac delta function can be used to solve differential equations, beca
  1 KB (196 words) - 17:45, 21 April 2013
• ECE PhD QE CNSIP 2000 Problem1
  ...f of <math class="inline">\mathbf{Z}</math> . You can leave your answer in integral form.
  3 KB (406 words) - 10:19, 13 September 2013
• ECE PhD QE CNSIP 2000 Problem1.4
  ...f of <math class="inline">\mathbf{Z}</math> . You can leave your answer in integral form.
  2 KB (282 words) - 10:34, 13 September 2013
• ECE-QE CS1-2011 solusion-1
  ...r{green}\text{It should be added: Based on the Axioms of Probability, this integral over R will be 1.} \color{green}\text{So we can then replace this integral with one.}
  8 KB (1,247 words) - 10:29, 13 September 2013
• Course information ECE438F12Ersoy
  part of this course. MATLAB is an integral part of the laboratory and will be
  24 KB (3,522 words) - 07:28, 24 August 2012
• Practice 1 MA425Fall2012Bell
  Is this the Cauchy Integral Formula? but the integral is zero since <math> \nabla u </math> is zero. Hence <math> u(A) = u(B) </m
  4 KB (652 words) - 08:02, 2 October 2012
• Origin of Laplace Transform
  (2) '''Integral = continuous summation''' Finally, noting that the integral is only guaranteed to converge if the exponential is to a negative power (w
  3 KB (512 words) - 15:14, 1 May 2016
• Homework Problem 5, Chapter 13
  A: We know that Zp (p prime) is an integral domain and thus has no zero-divsiors. We also know that for Zn where (n <> p prime) then Zn is not an integral domain.
  333 B (61 words) - 07:34, 6 December 2012
• Homework Problem 30, Chapter 13
  ...vations to guess a general result about the number of elements of a finite integral domain.
  295 B (49 words) - 08:37, 6 December 2012
• ECE301 Spring2013 EC1
  ...to calculate the convolution in this CT case instead of using the Riemann integral approach like we implicitly did in the DT case.
  6 KB (991 words) - 15:18, 1 May 2016
• Practice Question probability normalization ECE302S13Boutin
  Or equivalently, the continuous integral of the following piecewise function, which should = 1 as well:
  2 KB (355 words) - 13:50, 13 February 2013
• Practice Question gaussian normalization ECE302S13Boutin
  Now, we just need to evaluate the integral:
  3 KB (519 words) - 08:11, 25 February 2013
• Practice Question uniform random variable CDF ECE302S13Boutin
  To solve for the ? between a and b, we perform the integral, however we do not need to integrate from negative infinity, we can simply Computing the integral we obtain:
  2 KB (401 words) - 04:52, 4 March 2013
• Practice Question linear random variable probability ECE302S13Boutin
  Solving the integral we obtain: If we wanted to solve for the constant k, we could setup another integral over the entire function and set it equal to 1 like so:
  2 KB (269 words) - 04:58, 4 March 2013
• Practice Question moment order zero Gaussian ECE302S13Boutin
  ...="color:purple"> Instructor's comment: Don't forget to put the "dx" in the integral. Also, I should warn you that the symbol "*" denotes convolution. I believe
  1 KB (214 words) - 04:47, 4 March 2013
• Practice Question moment order one Gaussian ECE302S13Boutin
  <span style="color:green">Did you figure out the integral "by hand" or did you just plug it into a symbolic conputation software? You
  2 KB (388 words) - 14:00, 25 March 2013
• ECE301 Prof.KrogemeierBonus 2
  Joseph Fourier first represented Fourier integral theorem in the following DOE:
  1 KB (174 words) - 11:34, 11 March 2013
• Practice Question independence ECE302S13Boutin
  ...as a constant and thus you can pull the term associated with x outside the integral. </span>
  2 KB (290 words) - 10:17, 27 March 2013
• Practice Question characteristic function exponential random variable ECE302S13Boutin
  ...by simply replacing <math>j\omega</math> by s. In fact, the corresponding integral for s diverges for some values of s. -pm </span>
  2 KB (350 words) - 13:00, 27 March 2013
• ECE 301 2005 FINAL
  a1. by using integral over function square E = 6 so P = 0
  582 B (120 words) - 06:35, 3 May 2013
• ECE637 tomographic reconstruction intro S13 mhossain
  ...s are very different, we will see that for both cases, we measure the line integral of the density through the material. So if you get the projection through t
  8 KB (1,168 words) - 07:24, 26 February 2014
• ECE637 tomographic reconstruction CT S13 mhossain
  ...ysical design of CT scanners and derive the differential equation and line integral needed for the inversion process using [[ECE637_tomographic_reconstruction_ ...density of the material, <math>\mu(x)</math> is always positive, so is its integral. The exponent is therefore always negative. This reiterates the notion that
  9 KB (1,390 words) - 07:24, 26 February 2014
• ECE637 tomographic reconstruction PET S13 mhossain
  ...count how many annihilations occur along that detector and you get a line integral. So this is another technology where you the measurements are line integral
  6 KB (913 words) - 07:24, 26 February 2014
• Jacobian
  Notice that, in an integral when changing from cartesian coordinates (dxdy) to polar coordinates <math> ...-x²=16 and 2xy=6 and 2xy=14.It'd be quite a simple task if the integral looked something like this:
  18 KB (2,894 words) - 12:17, 3 March 2015
• ECE637 tomographic reconstruction coordinate rotation S13 mhossain
  ...ore we must first perform a coordinate rotation in order to calculate this integral.
  6 KB (834 words) - 07:25, 26 February 2014
• ECE637 tomographic reconstruction radon transform S13 mhossain
  We measure the projections as an integral of <math>f</math> along the <math>z</math> axis for every <math>r</math>. T ...eta</math> degrees counterclockwise from the <math>y</math> axis. The line integral along <math>z</math> is measured for every <math>r</math> at the given <mat
  6 KB (942 words) - 07:25, 26 February 2014
• ECE637 tomographic reconstruction fourier slice theorem S13 mhossain
  ...same, as are the <math>x</math> and <math>r</math> axes, and in the above integral, <math>r</math> and <math>y</math> are just dummy variables. Next, taking t
  9 KB (1,485 words) - 12:30, 17 April 2014
• ECE637 MRI S13 mhossain
  ...l to the current. The magnetic field is therefore also proportional to the integral of the voltage across the coil <br/> ...led by a voltage where the current through the coil is proportional to the integral of the voltage and the magnetic field of the coil is proportional to the cu
  27 KB (4,777 words) - 07:25, 26 February 2014
• ECE637 discrete parameter signals and systems discrete transforms S13 mhossain
  ...i,\pi)</math> interval, only one term from the sequence is relevant to the integral, the <math>k=0</math> term. <br/>
  10 KB (1,726 words) - 07:26, 26 February 2014
• ECE270 Slecture Wayner Digital System Design Objectives Module 4
  ...e operation of OUT instructions with and without a transparent latch as an integral part of the I/O block
  6 KB (936 words) - 07:32, 26 February 2014
• ECE600 F13 probability spaces mhossain
  ...al cannot be used to evaluate ∫<math>_A</math>f(r)dr because the Riemann integral (RI) does not exist for some A∈''F''. For example, let <br/> ...nn integrable. This type of problem led to the development of the Lebesgue integral (LI). Integration in probability theory is assumed to be LI, because it can
  20 KB (3,448 words) - 12:11, 21 May 2014
• ECE440 Lab1 Typed
  integral multiples of 200 kHz, and, possibly, some small spurs at some other frequen
  14 KB (2,228 words) - 12:03, 15 January 2014
• HWK6MA527Fall2013
  ...ee to use a table of integrals for any tricky integrals. (For example, the integral of exp(at)sin(bt) requires two ...out s^2 to get (1/(s^2)*(s^2-1)), also question says inverse transform by integral which is done in example 3. If you will integrate inverse transform of (1/(
  11 KB (2,033 words) - 14:02, 12 December 2013
• HWK7MA527Fall2013
  ...14a in class today. Split the integral up like the book suggests. For the integral
  4 KB (757 words) - 08:25, 16 October 2013
• ECE600 F13 Expectation mhossain
  Using integration by parts (proof), we see that this integral evaluates to <math>\sigma^2+\mu^2</math>. So, <br/>
  8 KB (1,474 words) - 12:12, 21 May 2014
• HWK9MA527Fall2013
  From [[User:Bell|Steve Bell]]: Jake, the n=1 term is the integral and that is a very easy integral to compute. You are right that the formula for the general
  8 KB (1,388 words) - 14:51, 29 October 2013
• HWK10MA527Fall2013
  ...ng on problem 2 of Lesson 31. There doesn't seem to be a way to solve the integral if you use formula (1b) with the answer from problem 1. Any tips? ...h of sinc function integrals which have to be evaluated with the Dirichlet Integral. I can use Table 11.10 relationship #10 and get the answer without chuggin
  6 KB (1,130 words) - 18:15, 5 November 2013
• Review2MA527Fall2013
  > integral of the function will be the same. 2+1+1+ a sum of squares = (1/pi) integral of |f|^2
  11 KB (1,959 words) - 17:57, 10 November 2013
• HWK11MA527Fall2013
  ...a double root at -y^2. However, it appears that the solution should be the integral of this based on the y^3/3 in the back of the book. Any advice? ...plit it into 4 integrals (0 to 1/4, 1/4 to 1/2, etc.). The first and last integral are zero but you can get an f(x) for the middle two from the graph. It's s
  6 KB (1,102 words) - 19:16, 19 November 2013
• Table of indefinite integrals general rules
  [[Category:integral]]
  5 KB (942 words) - 18:13, 26 February 2015
• HWK12MA527Fall2013
  ...is neither so no simplification there. Integration by parts yields another integral that needs integration by parts and it looks never ending. So I am thinking ...just move it to the other side of the equation and solve for it, as if the integral was a variable. A(w) should be 2/[pi(w^2+1)] and B(w) is 0.
  5 KB (978 words) - 17:36, 3 December 2013
• Walther453Fall13 Topic13 paper
  ...It provides the foundation for key management and digital signatures, both integral parts of any cryptosystem. Below is a pictorial representation illustrating
  19 KB (3,051 words) - 22:23, 4 December 2013
• Walther375Spring2014 Unique factorization: how special are the integers?
  The unique factorization property can be formulated in any integral domain. Consider the ring Z[i] of Gaussian integers. Here i=√(-1), and th
  12 KB (2,127 words) - 17:06, 27 April 2014
• Upper Bounds for Bayes Error
  Now let us look at an example to understand how we can write this integral in terms of <math>Prob \left( \omega_1 \vert x\right)</math> and <math>Pro In most cases solving either integral is intractable because these could be integrals in large dimensions. Theref
  13 KB (2,062 words) - 10:45, 22 January 2015
• Upper Bounds for Bayes Error Questions and comment
  ** Might want to mention why solving for the integral in the expression for probability of error is intractable.
  2 KB (257 words) - 08:51, 11 May 2014
• Test QnA
  * In Eq. (3.10), it might help to remark that the integral equals 1 because the probabillity distribution integrates to 1.
  2 KB (410 words) - 15:54, 30 April 2014
• MA598C 2014 postmortem mjk
  ...ind of surprised that there were no problems which asked to compute a real integral by taking a detour through the complex plane. There was also no problem whi .... I tried using the Residue Theorem but found myself unable to compute the integral. I ended up computing the first few terms of the series expansion of the de
  2 KB (363 words) - 14:54, 25 August 2014
• Knearestneighbors
  ...function <math> \phi(x/h) </math>. <math> \phi </math> must have a finite integral.
  9 KB (1,604 words) - 10:54, 22 January 2015
• Taylor maclaurin series
  ...at our disposal for finding whether a series converges or not, namely, the integral test, the comparison and limit comparison tests, alternating series test, t
  9 KB (1,632 words) - 18:19, 27 February 2015
• MA598C 2014 mockquals soln2
  Evaluate the integral <math>\displaystyle\int_0^\infty\frac {\sqrt x}{x^2+1}dx</math> using techn By the residue theorem, for <math>R > 1</math>, the integral is also equal to the residue at <math>i</math> (there are two simple poles
  10 KB (1,792 words) - 05:43, 10 August 2014
• MA598C 2014 postmortem pfw
  *On problem 2 (contour integral problem <br><math>\int_0^\infty \frac{\cos(8x)}{x^2+1} \, dx</math><br>if I
  730 B (134 words) - 06:50, 5 August 2014
• Slecture Fourier transform w f ECE438 review
  ...hould mention of use of the translation property used to quickly solve the integral. Overall, this slecture is cleanly organized. Good job!
  5 KB (843 words) - 05:30, 15 October 2014
• Questions Page
  ...r. In the example it would be good to mention the sifting property for the integral of a delta. I like how the reasoning is explained for the work and why the
  3 KB (568 words) - 05:34, 15 October 2014
• HonorsContractECE438CoordinateAndRadon
  ...easure projections through an object with density. A Radon Transform is an integral that allows the calculation of the projections of an object as it is scanne ...perpendicular to the <math>r</math> axis. This implies that the projection integral is <br />
  5 KB (788 words) - 19:25, 9 February 2015
• ECE438HonorsContractCT
  =Extracting the Line Integral for Convolution Back Projection= ...|convolution back projection]] can be used to produce slices for each line integral which will stack to become a 3D representation of the patient's body.
  7 KB (1,072 words) - 19:25, 9 February 2015
• Table of indefinite integrals ch
  [[Category:integral]]
  8 KB (1,479 words) - 17:44, 26 February 2015
• Table of indefinite integrals th
  [[Category:integral]]
  3 KB (453 words) - 17:46, 26 February 2015
• Table of indefinite integrals coth
  [[Category:integral]]
  3 KB (477 words) - 17:48, 26 February 2015
• Table of indefinite integrals x inverse
  [[Category:integral]]
  3 KB (624 words) - 17:52, 26 February 2015
• Table of indefinite integrals tangent
  [[Category:integral]]
  2 KB (311 words) - 16:14, 26 February 2015
• Table of indefinite integrals cotangent
  [[Category:integral]]
  2 KB (346 words) - 16:53, 26 February 2015
• Table of indefinite integrals oneovercosine
  [[Category:integral]]
  2 KB (327 words) - 16:57, 26 February 2015
• Table of indefinite integrals oneoversine
  [[Category:integral]]
  2 KB (327 words) - 16:59, 26 February 2015
• Table of indefinite integrals inversecircularfunctions
  [[Category:integral]]
  8 KB (1,433 words) - 17:05, 26 February 2015
• Table of indefinite integrals exponential
  [[Category:integral]]
  3 KB (513 words) - 17:09, 26 February 2015
• Table of indefinite integrals log
  [[Category:integral]]
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• Table of indefinite integrals sh
  [[Category:integral]]
  7 KB (1,378 words) - 17:42, 26 February 2015