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From Applied Science
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- 02:04, 3 February 2022 Wikiadmin talk contribs uploaded a new version of File:Square complete2.png
- 02:00, 3 February 2022 Wikiadmin talk contribs deleted page File:Square complete2.png (Deleted old revision 20220203020042!Square_complete2.png)
- 02:00, 3 February 2022 Wikiadmin talk contribs uploaded a new version of File:Square complete2.png
- 23:15, 2 February 2022 Wikiadmin talk contribs created page Polynomial long division (Created page with "At school everybody is taught this procedure to divide one number by another. The first number being called the '''dividend''' and the second the '''divisor''': <div style="text-align:center;"> 400px </div> It's possible that some people reverse the order, doing it from right to left. I have no idea about what causes this, but I remember making this mistake more than once. Could it be related to languages that are written right to left...")
- 21:40, 2 February 2022 Wikiadmin talk contribs deleted page File:Longdivision example.png (Deleted old revision 20220202214022!Longdivision_example.png)
- 21:40, 2 February 2022 Wikiadmin talk contribs uploaded a new version of File:Longdivision example.png
- 20:01, 2 February 2022 Wikiadmin talk contribs created page File:Longdivision example.png
- 20:01, 2 February 2022 Wikiadmin talk contribs uploaded File:Longdivision example.png
- 15:21, 2 February 2022 Wikiadmin talk contribs moved page Completing the square and long division to Completing the square (split the page)
- 00:18, 2 February 2022 Wikiadmin talk contribs created page Completing the square and long division (Created page with "Completing the square is best viewed with a geometric perspective. First let me show a figure: <div style="text-align:center;"> 200px </div> The graphical association is pretty clear. What, sometimes, is not very obvious, is the fact that <math>(a + b)^2</math> can be seen as literal. The whole square has its side given by a sum of two shorter sides, <math>a</math> and <math>b</math>. The idea of completing the square is to rewrite quadrat...")
- 23:57, 1 February 2022 Wikiadmin talk contribs created page File:Square complete2.png
- 23:57, 1 February 2022 Wikiadmin talk contribs uploaded File:Square complete2.png
- 21:37, 1 February 2022 Wikiadmin talk contribs deleted page File:Square complete.png (Deleted old revision 20220201213727!Square_complete.png)
- 21:37, 1 February 2022 Wikiadmin talk contribs uploaded a new version of File:Square complete.png
- 21:35, 1 February 2022 Wikiadmin talk contribs created page File:Square complete.png
- 21:35, 1 February 2022 Wikiadmin talk contribs uploaded File:Square complete.png
- 17:19, 31 January 2022 Wikiadmin talk contribs created page File:Modulus circle.png
- 17:19, 31 January 2022 Wikiadmin talk contribs uploaded File:Modulus circle.png
- 05:13, 30 January 2022 Wikiadmin talk contribs created page Properties of the absolute value (Created page with "We all learn at school that a number is either positive or negative, with positive numbers not requiring a plus sign because it's the standard everywhere in the world. We always assume a number without a sign to be positive. Now textbooks that I had at school and the teachers that I had back then would always say that modulus ''"erases"'' the sign. I always felt that operation to be meaningless because if a number has no sign, does it mean that the number is neither posi...")
- 04:09, 30 January 2022 Wikiadmin talk contribs deleted page Properties of the real numbers (content was: "There is some problem at school, which I don't know the cause, that is to give properties without proving anything. Some teachers are aware of this and give the proofs, but many others don't. Then when it comes to calculus and linear algebra people are faced with proofs and have no idea where to begin with. This is exactly what happened to me and around 75% of every other coll...", and the only contributor was "0kelvin" (talk))
- 17:21, 29 January 2022 Wikiadmin talk contribs created page File:Root square2.png
- 17:21, 29 January 2022 Wikiadmin talk contribs uploaded File:Root square2.png
- 03:32, 29 January 2022 Wikiadmin talk contribs created page Mistakes regarding proofs (Created page with "I had a teacher who would repeat many times in different classes '''"If you write 0 = 0 I'm going to give you a zero in the exam!"'''. Suppose we want to prove that <math>a + b = c + d</math>. We begin by saying that <math>a + b = x</math>. Then we say that <math>c + d = x</math>. Therefore <math>x = x \iff a + b = c + d</math>. Eureka! We didn't prove anything! What is wrong in the reasoning that we just did? The mistake is that we assumed that the equation is true wit...")
- 23:59, 28 January 2022 Wikiadmin talk contribs created page Properties of roots (Created page with "The association of square roots with squares is natural. Cubic roots are associated with cubes and there isn't much complexity to it. With higher dimensions we lose the geometric visualisation and have to rely on numbers alone. <div style="text-align:center;"> 300px </div> The relationship between <math>a^2</math> and <math>\sqrt{a}</math> is the same as exponential and logarithm. One is the inverse of the other. Every time we have a number to...")
- 23:57, 28 January 2022 Wikiadmin talk contribs deleted page File:Root square.png (Deleted old revision 20220128235738!Root_square.png)
- 23:57, 28 January 2022 Wikiadmin talk contribs uploaded a new version of File:Root square.png
- 23:15, 28 January 2022 Wikiadmin talk contribs created page File:Root square.png
- 23:15, 28 January 2022 Wikiadmin talk contribs uploaded File:Root square.png
- 21:14, 28 January 2022 Wikiadmin talk contribs created page Properties of powers (Created page with "I was told at some numerical methods class that addition is a function. If you take a second look at powers, they are also a function. They are taking a number, another number and producing a third. Much like addition. Plotting graphs of <math>a^x</math> helps to see powers as functions. * <math class="big">a^m \cdot a^n = a^{m \ + \ n}</math>. Why not <math class="big">a^{m \cdot n}</math>? First because of the property below. <br /><br />Let's call <math class="big">...")
- 00:13, 28 January 2022 Wikiadmin talk contribs created page Properties of the real numbers (Created page with "There is some problem at school, which I don't know the cause, that is to give properties without proving anything. Some teachers are aware of this and give the proofs, but many others don't. Then when it comes to calculus and linear algebra people are faced with proofs and have no idea where to begin with. This is exactly what happened to me and around 75% of every other colleague that I knew. '''Note:''' I'm using more words than mathematical symbols because it's fast...")
- 20:30, 27 January 2022 Wikiadmin talk contribs deleted page File:Parametric complicated.png (Deleted old revision 20220127203041!Parametric_complicated.png)
- 20:30, 27 January 2022 Wikiadmin talk contribs uploaded a new version of File:Parametric complicated.png
- 00:37, 27 January 2022 Wikiadmin talk contribs created page File:Parametric piecewise.png
- 00:37, 27 January 2022 Wikiadmin talk contribs uploaded File:Parametric piecewise.png
- 00:30, 27 January 2022 Wikiadmin talk contribs created page File:Parametric complicated.png
- 00:30, 27 January 2022 Wikiadmin talk contribs uploaded File:Parametric complicated.png
- 00:05, 27 January 2022 Wikiadmin talk contribs created page Parametric curves (Created page with "Before I discuss parametric equations I want to talk about how some textbooks or even teachers may be, unintentionally, misleading. When textbooks introduce functions there is always the discussion that a function of one variable cannot be a circle, because by plotting a circle a function is assuming two different values for the same argument, which is not possible. Some textbooks present a graph similar to this: <div style="text-align:center;"> file:parametric_compl...")
- 18:02, 26 January 2022 Wikiadmin talk contribs created page File:Polar system conversion.png
- 18:02, 26 January 2022 Wikiadmin talk contribs uploaded File:Polar system conversion.png
- 03:45, 26 January 2022 Wikiadmin talk contribs created page File:Polar system.png
- 03:45, 26 January 2022 Wikiadmin talk contribs uploaded File:Polar system.png
- 22:06, 25 January 2022 Wikiadmin talk contribs created page Polar coordinates (Created page with "The '''Cartesian system of coordinates''', or rectangular coordinate, is the most widely known because it's the most common. We subdivide the plane with columns and rows and each position is located by knowing the column and row. At school most people should have had a teacher who compared the Cartesian system with the game Battleship or a chessboard. There is another system of coordinates called Polar coordinates that locates points with two coordinates: '''angle''' a...")
- 21:12, 25 January 2022 Wikiadmin talk contribs deleted page MediaWiki:Timeless.css (content was: "All CSS here will be loaded for users of the Timeless skin: li { margin-bottom: 1em; } .vector-body p { margin: 1em 0; } .big { font-size: 1.35em; }", and the only contributor was "0kelvin" (talk))
- 20:18, 25 January 2022 Wikiadmin talk contribs deleted page File:Limit two variables.png (Deleted old revision 20220125201811!Limit_two_variables.png)
- 20:18, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:Limit two variables.png
- 18:26, 25 January 2022 Wikiadmin talk contribs created page Updates (Created page with "'''Update 3''' * Explain linear approximation and the concept of the derivative being the best approximation of a function near a point * Conditions for differentiability * Polar coordinates * Parametric equations * Properties of limits * Notation of derivatives * Explains derivatives of higher orders * Chain rule * Where to add transcendental functions? * Explain the notation dy/dx (guidorizzi has it) * Limits at infinity, explain better than "Because x^2 grows without...")
- 14:46, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:0k logo.png
- 14:28, 25 January 2022 Wikiadmin talk contribs deleted page File:Limit paths.png (Deleted old revision 20220125142843!Limit_paths.png)
- 14:28, 25 January 2022 Wikiadmin talk contribs uploaded a new version of File:Limit paths.png
- 20:25, 24 January 2022 Wikiadmin talk contribs created page File:Derivative secant.png