• ...volution for (ie time n for y[n]). To more tangibly express 'summation of all these time-shifted impulse reponses', we can consider an impulse that was g ...osition of time-shifted impulse functions. And because our input is 1 for all n, each of those superimposed impulse responses is scaled with constant coe
    6 KB (991 words) - 14:18, 1 May 2016
  • ...continuous-time Fourier Transform (CTFT) of <math>x(t)</math> is zero for all magnitudes of frequency equal to or above half the sampling frequency (Nyqu ...k. For a truely infinite-length sampling, the sum would also show the flat areas at the far left and far right, but these are neglected for the sake of inst
    10 KB (1,650 words) - 18:04, 16 March 2015
  • ...zed by using changing magnetic fields and RF waves to selectively resonate areas of interest for imaging. MRI does not use ionizing radiation like CT does, ...keeps flowing even when the generator is disconnected. The orientation of all the elements in the magnetic field generation is shown in Figure 3. <br />
    14 KB (2,487 words) - 18:26, 9 February 2015
  • So, asked another way, '''why are all discrete signals composed of an infinite number of frequencies?''' ...7Hz, 11Hz, and 13Hz (and thus -13Hz, -11Hz, -7Hz, -5Hz, and -1Hz) cosines all fit this set of points! Of course, we don't need to stop at 13Hz: there are
    12 KB (2,004 words) - 19:37, 2 December 2015
  • ...then pick an un-visited vertex and run Prim from this vertex; repeat until all vertices have been visited). If we are able to find a spanning set of the g <math>\bullet</math> Find all environmentally impactful edges, remove them, and store them
    5 KB (975 words) - 21:15, 7 March 2016
  • ...to the j<sup>th</sup>, which we can call <math>x_{ij}</math>. Now, we have all of the terms we'll need to begin solving the problem. Now we need to ask, what do we do with all of these terms? The initial setup of the problem is actually fairly easy. S
    15 KB (2,613 words) - 21:35, 24 April 2016
  • Isomorphic graphs have a lot of applications nowadays. All the entities in the world can be represented by some sort of connections. A Listed below are some of the more concrete areas that use graph isomorphism:
    13 KB (2,051 words) - 21:06, 24 April 2016
  • ...ansform. The z-transform is a very useful and important technique, used in areas of signal processing, system design and analysis and control theory. ...region of convergence. This region of convergence needs to be defined for all z-transforms, for values of z as it will define the points on the z-plane w
    10 KB (1,800 words) - 09:41, 27 November 2016
  • ...estigating pictures. Edges commonly happen on the limit between two unique areas in a picture. Edge detection is every now and again the initial phase in re ...y extensive convolution portion, as the Gaussian appropriation is non-zero all over the place. Luckily, the dispersion has moved toward near zero at aroun
    3 KB (498 words) - 17:53, 30 November 2016
  • ...l of the large differences in intensities in a picture, we have discovered all of the edges in the picture. Sobel Edge detection is a widely used algorith ...and Y kernels will then be added together to produce a final image showing all edges in the image. This will be discussed in the next section.
    7 KB (1,184 words) - 19:31, 23 April 2017
  • ...ubset of the <math>t</math> applicants qualified in the required technical areas. For a given number <math>k<t</math>, is it possible to hire at most <math> ...o see if there is a subset of <math>k</math> experts that are qualified in all specialties.
    6 KB (995 words) - 15:05, 23 August 2017
  • ...on from it. There are a lot of applications of image processing in various areas, for example computerized photography, space image processing, medical and ...ite about Steve on Image Processing where he wrote codes in Matlab to edit all his travel photos and named his article as “Don’t Photoshop it… Matla
    5 KB (799 words) - 19:12, 9 December 2017
  • ...on from it. There are a lot of applications of image processing in various areas, for example computerized photography, space image processing, medical and ...ite about Steve on Image Processing where he wrote codes in Matlab to edit all his travel photos and named his article as “Don’t Photoshop it… Matla
    5 KB (799 words) - 23:59, 3 December 2017
  • All three signals listed above require filtering of background noise (power sou * ''Parkinson's'' - Deep brain simulation sends electrical signals to brain areas responsible for body movement
    12 KB (1,702 words) - 19:48, 9 April 2018
  • ...blur is a simple blur in which every pixel is set equal to the average of all the pixels surrounding it. It can be expressed as a discrete convolution of for a 3x3 kernel. The matrix is divided by the sum of all the elements (9 in this example) to normalize it. Defining h[n] as a functi
    7 KB (1,006 words) - 21:10, 22 December 2019
  • ...depending on which field the curve is through. Elliptical curves are found all over mathematics, physics, and computer science, with applications spanning ...e, associativity, identity, and invertibility. When an operation satisfies all four axioms, it meets the requirements to be a group operation.
    13 KB (2,172 words) - 16:46, 30 May 2021
  • ...ar function. In other words, the Laplace operator is defined as the sum of all non-mixed second partial derivatives of <math>f</math>. As such, the Laplac ...rts would have a positive divergence because the energy moves out of those areas. Likewise, the cold parts of the sheet would have a negative divergence bec
    4 KB (619 words) - 01:06, 6 December 2020
  • ...mbers are predictable the game does not work. Random numbers are also used all the time in modern video games, offering a way to generate new and unique w Almost all random number generation involve the use of some sort of seed to create the
    14 KB (2,296 words) - 20:49, 5 December 2022

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Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett