• For questions involving a shape enclosed by two functions being rotated, identify the radius or height as either, the function in the
    3 KB (576 words) - 20:37, 3 October 2017
  • For questions involving a shape enclosed by two functions being rotated, identify the radius or height as either, the function in the
    4 KB (664 words) - 09:42, 19 January 2018
  • ...to a function, the result is still going to be a function (either constant functions or not). ...t variable, e.g. <math>x=sin⁡t+cos⁡t</math>. On the contrary, implicit functions are those with a dependent variable that is super hard to separate out from
    6 KB (1,070 words) - 23:06, 21 November 2017
  • ...e Law. Thanks to A1 and M1, we can think of addition and multiplication as functions that maps RxR into R. ...in a more unorthodox way where we let F be the set of all rational numbers functions, where F is the set of all quotients of polynomials. We can define an order
    5 KB (966 words) - 14:50, 15 October 2017
  • ...definition for a limit. Both of those can be found better at [[Limits of Functions | this tutorial]]. This only serves for a crash course tutor replacement f ===Limits of Continuous functions===
    7 KB (1,344 words) - 01:36, 1 November 2017
  • ...definition for a limit. Both of those can be found better at [[Limits of functions | this tutorial]]. This only serves for a crash course tutor replacement f ===Limits of Continuous functions===
    15 KB (2,678 words) - 04:42, 14 February 2020
  • By the expansion of Taylor series for two-variable functions, we have
    10 KB (1,613 words) - 23:16, 21 November 2017
  • ...hysicist Pierre-Simon Laplace found a transform method, which converts the functions in "time-domain" to "complex number-domain", to overcome the problem. It is ...ations. Heaviside unit step function is a typical example of discontinuous functions: <math>H(t-a)=\begin{cases}
    6 KB (1,071 words) - 18:26, 22 November 2017
  • ...cy= f(t)</math>, where <math>a</math>, <math>b</math>, <math>c</math> are functions with respect to <math>t</math>, and <math>f(t)</math> is a known function;
    7 KB (1,254 words) - 19:49, 22 November 2017
  • Unable to compute the original transfer functions, I replaced the reference point of 4.5V with 0V, and I assumed that the fre ...nd finalized through WolframAlpha, I was able to attain following transfer functions:
    5 KB (752 words) - 16:44, 2 December 2017
  • Unable to compute the original transfer functions, I replaced the reference point of 4.5V with 0V, and I assumed that the fre ...nd finalized through WolframAlpha, I was able to attain following transfer functions:
    3 KB (499 words) - 03:53, 2 December 2017
  • *[[limits_of_functions|Limits of Functions]] by [[user:yehm| Michael Yeh]]
    3 KB (370 words) - 09:55, 12 January 2018
  • ...{H}</math>. This would imply that the sinusoidal amplitudes of the winding functions are not equal for both windings. Before any calculations can proceed furthe ...transformation works because multiplying three matrices with trigonometric functions for each entry is absurdly tedious for a timed exam under any circumstances
    13 KB (2,307 words) - 00:30, 18 January 2018
  • ...ing field, field energy and electrical system currents may be expressed as functions of the <math>J</math> flux linkages and mechanical position: <math>W_f = W_
    7 KB (1,270 words) - 14:25, 12 February 2018
  • ...onal ultrasound, and photoacoustic tomography, all in the context of brain functions. Special emphasis is on the pros and cons of individual modalities, and the
    12 KB (1,702 words) - 20:48, 9 April 2018
  • We know that tangent is the quotient of two real functions, <math>tan(\omega) = sin(\omega)/cos(\omega)</math>, and is thus real. We c
    6 KB (1,010 words) - 18:04, 20 April 2018
  • A ''symmetric'' 3-phase machine has a set of winding functions that may be expressed in the following continuous form using a third-harmon
    2 KB (283 words) - 18:13, 4 August 2018
  • A ''symmetric'' 3-phase machine has winding functions expressed in the continuous form using a third-harmonic term given below wi
    3 KB (442 words) - 18:39, 4 August 2018
  • ...er produces the same melody as the first, at quarter speed. The Cantor Set functions similarly. A lot of the music we listen to on a daily basis use techniques
    15 KB (2,450 words) - 00:15, 3 December 2018
  • [13] Generating Functions and the Fibonacci Numbers (n.d). Retrieved from https://austinrochford.com/posts/2013-11-01-generating-functions-and-fibonacci-numbers.html
    2 KB (302 words) - 23:36, 2 December 2018
  • ...cci Numbers"] <sup>[https://austinrochford.com/posts/2013-11-01-generating-functions-and-fibonacci-numbers.html (13)]</sup>. Although somewhat complicated, this
    8 KB (1,360 words) - 23:28, 2 December 2018
  • The force of interest is used widely to calculate accumulation functions that can then be applied to other calculations within financial mathematics
    5 KB (884 words) - 00:54, 3 December 2018
  • ...functions) which can be easily expressed as the sum of complex exponential functions using euler's formula. As well, in physics, it is also used in phasor analy
    5 KB (808 words) - 01:13, 3 December 2018
  • ...expressed as mathematical functions such as <math>2^{-n}u[n]</math>. Such functions we compute convolutions with in class may model actual impulse responses su Below are line numbered code listings for the required Matlab helper functions.
    7 KB (1,070 words) - 00:57, 3 December 2018
  • One of the important functions of the United States Census is that the information from these census repor
    852 B (124 words) - 21:13, 2 December 2018
  • One of the important functions of the United States Census is that the information from these census repor
    7 KB (1,054 words) - 23:03, 2 December 2018
  • ...rd, we would need to have an ‘edge-detection’ program that essentially functions as a high-pass filter (HPF), to highlight the lines of the equations/letter
    7 KB (1,006 words) - 19:22, 7 April 2019
  • ...ve for math with your love for music by utilizing the exponential and sine functions in MATLAB to create signals that recreate a piece of music. This example de
    1 KB (180 words) - 20:59, 6 April 2019
  • ...ve for math with your love for music by utilizing the exponential and sine functions in MATLAB to create signals that recreate a piece of music. This example de
    3 KB (601 words) - 13:39, 7 April 2019
  • ...used to input each frequency into a sine wave. The 'reshape' and 'soundsc' functions are used to process and then play the signal.
    2 KB (357 words) - 14:38, 26 April 2019
  • This is an exercise in Amplitude Modulation using sine and cosine functions as carriers. You will essentially create two different "radio" transmitters
    1 KB (185 words) - 17:30, 25 April 2019
  • Utilizing both exponential and sine functions in MATLAB, you can recreate your favorite melody in MATLAB!<br />
    3 KB (498 words) - 18:20, 28 April 2019
  • ...ought of as having one function "smoothed" into another, or having the two functions "blended". This simple intuition offers insights into its uses in image blu ...ixels surrounding it. It can be expressed as a discrete convolution of two functions f[n] and g[n], where f[n] represents the discrete pixel values in the image
    7 KB (1,006 words) - 22:10, 22 December 2019
  • ...erent sizes of tubes together to better approximate the vocal tract. Area functions of the vocal tract for different vowel sounds are shown in these sources: ...ed together were based on approximations of the vocal tract using the area functions provided on the websites listed above. Pictures of the tubes for "ah" and
    5 KB (849 words) - 02:10, 10 December 2019
  • ...with periodic functions while the transform is concerned with nonperiodic functions.
    12 KB (2,051 words) - 14:20, 5 December 2020
  • [[Laplace Operator Page 4 2020|4. Applications: Harmonic Functions]]
    805 B (85 words) - 23:56, 6 December 2020
  • ...ery important formula that relates trigonometric functions and exponential functions. We can use Euler’s formula to model rotations in 2D. With cosine and sine functions and theta as our parameter, we can rotate a point, P by some angle theta in
    13 KB (2,241 words) - 21:55, 5 December 2020
  • ...ew, growing field which is most commonly used to optimize linear objective functions, meaning it will minimize or maximize the intersection of cones of matrices
    16 KB (2,725 words) - 00:24, 7 December 2020
  • ...erentiate it with respect to a different variable, creating newer, simpler functions. One application of this includes u-substitution, where we let an arbitrary
    1 KB (207 words) - 17:53, 4 December 2020
  • ...al Analysis that deals with the study of complex numbers, as well as their functions and derivatives. Applications of Complex Analysis can be mostly be found in ...ll always satisfy all the properties of analytical functions, whereas real functions do not.
    8 KB (1,390 words) - 16:12, 6 December 2020
  • ...ine and cosine," "U-substitution," "trigonometric substitution," "rational functions," and "numerical integration" and still not get the desired answer and end ...l sign helps to find the derivative on the nth order of the product of two functions to be expressed with a formula's help.
    1 KB (205 words) - 03:06, 3 December 2020
  • Since we are deriving in terms of "a", the only functions that come to mind which result in <math> \ln{x} </math>, are <math> x^{a} <
    3 KB (574 words) - 22:24, 2 December 2020
  • ...btracted, multiplied, and divided (or multiplied by the inverse) just like functions, but the processes are a little different. For example, to multiply a matri
    12 KB (2,008 words) - 19:00, 6 December 2020
  • ...create relationships between values, there are many ways for us to create functions to use with Feynman's rule.
    2 KB (388 words) - 18:22, 4 December 2020
  • ...ns or functions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's have a look at the following
    889 B (141 words) - 01:36, 5 December 2020
  • ...ns or functions and introduce ideas from complex numbers to simplify their functions. To give an example of how this is done, let's look at the following exampl
    3 KB (525 words) - 03:12, 5 December 2020
  • ...create relationships between values, there are many ways for us to create functions to use with Feynman's rule.
    2 KB (403 words) - 18:01, 5 December 2020
  • ...their required problem with Feynman's Integral technique by tweaking their functions or equations problems in Banach space a lot simpler. Physicists dealing wit ...bjects. Although this integration technique focuses mainly on manipulating functions and differentiating to simplify a problem, there are many different ways to
    2 KB (307 words) - 21:13, 5 December 2020
  • ==Applications: Harmonic Functions== Harmonic functions are functions that satisfy the equation
    2 KB (257 words) - 19:16, 6 December 2020
  • ...space. This is done using ''O<sub>X,x</sub>'', a group of differentiable functions roughly equivalent to ''X'' about a neighborhood around x and also near ''Y
    2 KB (400 words) - 00:02, 6 December 2020
  • ...atural way for mathematicians to observe multivalued functions. These are functions where a single input value can have multiple output values, or where one in
    3 KB (517 words) - 00:11, 6 December 2020
  • Great for understanding multivalued functions and how the surfaces display them:
    2 KB (230 words) - 00:19, 6 December 2020
  • ...l loops that are homotopic. The official definition of a homotopy from the functions f to g is F(x,0) = f(x), while F(x,1) = g(x). The fundamental group is the ...https://courses.lumenlearning.com/boundless-algebra/chapter/trigonometric-functions-and-the-unit-circle/
    12 KB (1,977 words) - 11:28, 6 December 2020
  • Simply by using a composition operation on two functions, one has arrived at a brand new permutation set (3,2,1). By applying this o
    3 KB (559 words) - 21:39, 6 December 2020
  • ...and decreasing slopes naturally create valleys and hills in the graphs of functions, creating a parallel between the second derivative and the Laplace operator
    4 KB (619 words) - 02:06, 6 December 2020
  • [[File:AbelRuffiniTheoremTwo.png|500 px|thumbnail| Figure 4.3: Symmetric functions for the polynomial P(x)]]
    7 KB (1,274 words) - 00:51, 7 December 2020
  • ...imum Principle in analysis describes where maximum values can be found for functions described by parabolic and elliptic partial differential equations. These p Partial differential equations describe the rates of change of functions with multiple independent variables. They are used because it is often easi
    10 KB (1,617 words) - 01:27, 7 December 2020
  • ...s the outcome we are looking for. The integrals of all probability density functions are equal to 1.
    2 KB (358 words) - 22:58, 6 December 2020
  • ...ebra can be understood as a commutative subring (under a field of rational functions F) formed from the iterative mutation of an initial “seed” (or set) of
    2 KB (301 words) - 21:00, 6 December 2020
  • ...es not contain an element x such that 3x = 1. However, the set of rational functions is a field because it obeys every property of a commutative ring and contai
    3 KB (442 words) - 22:05, 6 December 2020
  • ...articular, they form a ring R[X] that is a subset of the field of rational functions F of which the initial set (in this example, {x<sub>1</sub>, x<sub>2</sub>}
    2 KB (280 words) - 22:19, 6 December 2020
  • ...plex and intricate patterns. Modular forms are different from most of the functions that you have dealt with, as they exist in an imaginary plane, but the impa While there are a number of functions that deal with modular arithmetic, modular forms must meet a very specific
    11 KB (1,765 words) - 00:19, 7 December 2020
  • ...with a norm (||.||)”. Norms will be discussed first and are essentially functions that map a vector space and map it as a function of scalars. The definition
    1 KB (223 words) - 23:01, 6 December 2020
  • [https://www.statisticshowto.com/likelihood-function/| Likelihood Functions]<br /> ...ps://mathinsight.org/probability_density_function_idea|Probability Density Functions]<br />
    847 B (112 words) - 23:12, 6 December 2020
  • ...type of series that repeats at regular intervals using summated sinusoidal functions. They are said to be periodic. Some examples of Fourier series can be seen
    1 KB (172 words) - 00:06, 7 December 2020
  • While not a block cipher or even a cipher method, hash functions are an important part of cyber security that should also be mentioned. They
    18 KB (3,085 words) - 15:13, 7 December 2022
  • Once a modifier is computed, a value indicating how many hash-functions are needed to be solved is computed as
    24 KB (3,899 words) - 10:51, 1 December 2022
  • ...both players as parameters. A Nash Equilibrium is reached when the payoff functions both players are maximized by picking the best strategy <math>s^*</math>. T
    26 KB (4,138 words) - 08:25, 6 December 2022
  • ...is less than m. The same applies for SHA-1, but also SHA-2 and all hashing functions since the inputs are [theoretically] infinite, but the output is finite. Wh
    24 KB (3,746 words) - 15:31, 10 December 2022

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Ryne Rayburn