• ...ac{dx}{dt}}{t} - \frac{x}{t^2}</math>, <math>\frac{d^2y}{dt^2}=\frac{2x}{t^3} - \frac{2\frac{dx}{dt}}{t^2} + \frac{\frac{d^2y}{dt^2}}{t}</math>. Substitute them into ODE, hence <math>t^2 (lnt+1) (\frac{2x}{t^3} - \frac{2\frac{dx}{dt}}{t^2} + \frac{\frac{d^2x}{dt^2}}{t}) + t (2lnt+1) (
    7 KB (1,254 words) - 19:49, 22 November 2017
  • <math>y(t)=\begin{cases} \end{cases}</math><br />
    5 KB (985 words) - 12:38, 30 November 2018
  • <small>''Figure 3 Merma, 2004 P80 The logistic equation Adapted from Northwestern University The following graph demonstrates four different cases with θ>1 or θ<1.
    10 KB (1,532 words) - 22:51, 2 December 2018
  • Question 3: Optimization
    6 KB (899 words) - 01:04, 24 February 2019
  • ...ve all permutations pertaining to who draws which name and determine which cases will have every person draw someone else's name. ...ginal" spot. These two permutations are called derangements of <math>\{1,2,3\}</math>.
    6 KB (996 words) - 00:53, 3 December 2018
  • ...ta^2(n+5)^2]}+\dfrac{sin[(1-\beta)\pi(n+0.5)/2]}{\pi[(n+.5)-4\beta^2(n+.5)^3]},-\infty<n<\infty</math> with <math>\beta=0.5</math> <br> \begin{cases}
    4 KB (738 words) - 15:34, 19 February 2019
  • Question 3: Optimization <math>\begin{cases}
    1 KB (178 words) - 11:45, 25 February 2019
  • Question 3: Optimization Subject to <math>x_1+x_2-2<=0</math> and <math>x_1+2x_2-3<=0</math><br>
    2 KB (247 words) - 11:48, 25 February 2019
  • \begin{cases} \end{cases}
    1 KB (190 words) - 16:32, 19 February 2019
  • [[File:windowSmall.png|400px|thumb|right|Filtered Image using LPF (Window = 3 pixels)]] B = imData(:,:,3);
    7 KB (1,006 words) - 19:22, 7 April 2019
  • ...signal will be a Double Sided modulation that carries audio files 1, 2 and 3. You remember this at a cosine carrier from class. The second radio signal Radio Signal 1 will carry file 1 at 1000Hz, file 2 at 4000Hz, and file 3 at 7000.
    1 KB (185 words) - 17:30, 25 April 2019
  • <math>2𝜋T_1f_{max} < \frac{𝜋}{D}</math> (3) ...want to send them the “Happy Birthday” song which has <math>f_{max} = 3,000</math> Hz. As before, the scientists would like to downsample the song
    16 KB (2,611 words) - 14:11, 12 November 2019
  • ===3. Formula Visualization=== ...und this circle at a certain frequency. For example, let <math>g(t) = \sin(3*2\pi t) + 1</math> (graph pictured below). To wrap ''g(t)'' around the circ
    12 KB (2,051 words) - 14:20, 5 December 2020
  • | [[Walther_MA271_Fall2020_topic12#3.0 Elliptical Curves and Fields|3.0 Elliptical Curves and Fields]] ...= x<sup>3</sup> + Ax + B with distinct roots (which is to say Δ = 4A<sup>3</sup> + 27B<sup>2</sup> is nonzero). An additional point Ό at infinity is
    13 KB (2,172 words) - 17:46, 30 May 2021
  • | [[Walther_MA271_Fall2020_topic17#3. Generating Fractals|3. Generating Fractals]] ...li. There are different types of self-similarity and many of them describe cases where the copies are not identical. <br />
    24 KB (3,663 words) - 01:01, 7 December 2020
  • ...<math>j</math> do not communicate. The diagrams below illustrate these two cases. ...we can see that after transiting from state 1 to state 2, the state 2 and 3 become a closed set; namely, they are never going to return to state 1; the
    2 KB (390 words) - 02:57, 6 December 2020
  • 3. When all events have no outcomes in common. 3. P(A∨B) = P(A) + P(B) - P(A∧B). When A and B are not mutually exclusive
    14 KB (2,441 words) - 16:10, 14 December 2022
  • =&\begin{cases} \end{cases}
    26 KB (4,138 words) - 08:25, 6 December 2022
  • ...example of an AI art model, but when we say model what do we mean? In most cases, especially in recent years, we are referring to a neural network or a comb ...1 neuron. Our input vector is <math> \begin{bmatrix} 0 \\ 0.1 \\ 0.2 \\ 0.3 \\ 0.4 \\ 0.5 \\ 0.6 \\ 0.7 \\ 0.8 \\ 0.9 \end{bmatrix} </math>. The weight
    15 KB (2,564 words) - 11:25, 29 November 2022

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

Dr. Paul Garrett