• Here is the original file. The wikitext format makes the text much harder to format The Residue Theorem is an important theorem in the field of Complex Analysis. It will require an u
    8 KB (1,390 words) - 16:12, 6 December 2020
  • ...the different parts to find what is most important. Now, SVD has countless real-world applications with analyzing data in statistics, sociology, atmospheri ...ltiply a matrix by another, you must take the dot product of the two. This is when you multiply each value in the row of the first matrix by each value i
    12 KB (2,008 words) - 19:00, 6 December 2020
  • ...omplex numbers to simplify their functions. To give an example of how this is done, let's look at the following example. When given a definite integral such as,
    3 KB (525 words) - 03:12, 5 December 2020
  • .../education/articles/forex-indicators/fractals-indicator Beautiful Image of a fractal]]] ...a simple recursive rule and generating the fractal images might only take a few lines of code. <br />
    24 KB (3,663 words) - 01:01, 7 December 2020
  • ...has to be a jump from the continuous form of time that is apparent in the real world to the discrete form of time used in measurement. Nyquist's Theorem m ...can use Nyquist's Theorem to ensure that all essential signal information is collected, while not wasting effort measuring with too much detail.
    2 KB (375 words) - 21:03, 6 December 2020
  • ...aces that can be classified as Riemann Surfaces. This section will explore a few examples of Riemann Surfaces between the most simple to more complicate ...s the Riemann Sphere. It models the complex plane, but extends it, adding a point for zero and infinity.
    5 KB (840 words) - 18:41, 6 December 2020
  • ...values, or where one input value may produce a complex output value. This is most easily observed in the function: ...visualization shows that both -1 and 1 are valid options to square to get a result of 1. Since we typically only view this function in two dimensions,
    3 KB (517 words) - 00:11, 6 December 2020
  • ...portrait of Évariste Galois at age 15. He died at the young age of 20 in a duel fight. Despite this, he had left his impact on mathematics forever.]] ...r certain geometries can be constructed using an unmarked straightedge and a compass. Mathematicians had found ways to answer some of these questions us
    3 KB (419 words) - 00:53, 7 December 2020
  • The '''golden ratio''' is an irrational number (like <math> \pi </math>) represented by the lowercase Greek letter <math> It is also the solution to the quadratic equation <math> x^2 - x - 1 = 0</math>:
    5 KB (790 words) - 21:08, 8 December 2020
  • ...oles to atoms with Avagadro’s number and picometers to centimeters, this is: ...pite all of the complexity of molecular interactions, this simple constant is able to give an incredibly close value for the densities of kinds of elemen
    2 KB (321 words) - 11:52, 6 December 2020
  • ...e packing in this context as interesting, but not really applicable to the real world. However, higher dimensional sphere packing has applications in codin ...can occasionally get lost in transmission. Imagine the codeword “gold” is intended to be transmitted. Each letter could be binarily encoded as the fo
    3 KB (396 words) - 11:43, 6 December 2020
  • ..., but the impact they’ve had on our understanding of mathematics is very real. Multiple aspects of math and science have been found to connect to modula ...since that is the largest integer on a clock, leaving you with 3. This is a simplified version of operating in mod 12, in which values are measured in
    11 KB (1,765 words) - 00:19, 7 December 2020
  • Definition: Probability is a measure of the likelihood of an event to occur. Many events cannot be predi When events A and B have no outcomes in common [[File:Screen_Shot_2022-11-15_at_10.56.42.
    14 KB (2,441 words) - 16:10, 14 December 2022
  • <h1 style="font-size: 40px">What is Hashing?</h1> ...t of arbitrary length and produces an output of fixed length. In order for a hashing algorithm to be cryptographically secure, it must have the followin
    24 KB (3,899 words) - 10:51, 1 December 2022
  • ...rsonal information was leaked. You find out that it’s not just you, this is happening to everyone around the world. Chaos and panic break loose. How co ...t the computing power that an attacker may have access to today, but poses a vulnerability<sup>3</sup> when quantum computers enter the picture.
    31 KB (5,039 words) - 17:31, 6 December 2022
  • '''What is game theory and where did it come from?''' ...ld use game theory to determine the prices that two competing duopolies in a local market should set in order to maximize each of their profits.
    26 KB (4,138 words) - 08:25, 6 December 2022
  • <b><font size="+4">Random Number In Modern Computer</font></b> ...strict rules around changing them. For this reason, creating randomness is a unique challenge seen in modern mathematics that has been approached with s
    14 KB (2,296 words) - 21:49, 5 December 2022
  • ...relating to pi can be quite subjective but ultimately its objective value is of great importance to our understanding of the world and many physically p ...ircumference * the number of rotations taken by the wheel. The success of a pure measuring method will depend on the perfectness of your circle and the
    18 KB (2,815 words) - 11:22, 8 December 2022
  • <b><font size="+2">The Birth of AI Art and a Quick Rundown</font></b> ...t was shown that computers could generate real looking images, it was only a matter of time until AI art would take the world by storm.
    15 KB (2,564 words) - 11:25, 29 November 2022
  • The Internet is a huge part of our daily lives. We search for and consume a lot of the information through search engines. One might wonder how search ...this site, that would be determined as the most relevant one instead. This is undesirable.
    21 KB (3,098 words) - 00:24, 1 December 2022

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Alumni Liaison

Correspondence Chess Grandmaster and Purdue Alumni

Prof. Dan Fleetwood