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“Number Sense” for the Comparison Test | Jansal Mathematics
https://jansalmath.wordpress.com/2010/03/25/number-sense-for-the-comparison-test
Mathematics for the Masses. 8220;Number Sense” for the Comparison Test. Leave a comment ». When attempting to use the comparison test for integrals or infinite series, you may have trouble thinking of what to compare them to; here are some helpful hints that you probably learned years ago but forget how to apply:. N-1 n n 1. If n 0 then n 2n 3n. If 0 a b, then 1/b 1/a (bigger denominator means smaller expression). If n 1 then n n n. If n 1 then n n n 2n , and similar inequalities can be derived. You are ...
Tangent Lines Without Calculus: Convex Curves Only! | Jansal Mathematics
https://jansalmath.wordpress.com/2010/03/25/tangent-lines-without-calculus-convex-curves-only
Mathematics for the Masses. Tangent Lines Without Calculus: Convex Curves Only! Leave a comment ». A convex curve is a curve that is always on the same side of its tangent line, a curve that always “bends the same way” if a curve can be expressed as the graph of a differentiable function, it is convex if and only if the second derivative has the same sign throughout, or equivalently no points of inflection. In the language of differential geometry, at each point of a convex plane curve, the curvature vec...
The Standard Algorithms of Arithmetic | Jansal Mathematics
https://jansalmath.wordpress.com/2010/03/25/the-standard-algorithms-of-arithmetic
Mathematics for the Masses. The Standard Algorithms of Arithmetic. Leave a comment ». It turns out in fact that it is easier to perform these algorithms on polynomials than numbers because the coefficients of x are not in the same “number system” as x, so there is no carrying or borrowing in polynomial arithmetic as in elementary arithmetic; reform curricula frequently attempt to avoid these concepts and end up devising excessively complicated methods that fail to work generally. Here both a 1 and a 3 ar...
The Unity and Motivation Behind Statistical Measures: Standardized Moments | Jansal Mathematics
https://jansalmath.wordpress.com/2013/05/29/the-unity-and-motivation-behind-statistical-measures-standardized-moments
Mathematics for the Masses. The Unity and Motivation Behind Statistical Measures: Standardized Moments. Leave a comment ». As you may remember, the mean μ of a statistical distribution is the arithmetic mean, the sum of the values divided by their number; for an ideal distribution given by a probability density function (a function f. Of a real number x. Th central moment μ n is the arithmetic mean of the nth powers of the differences between each value and the mean. The first central moment is 0; for th...
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Tagebuch der Apokalypse
Irrungen und wirrungen aus dem leben eines nie ganz hier gewesenen. Samstag, Januar 30, 2016. Wie ich FeminstIn wurde …. Spiel ich doch diesmal als Frau, damit das zweite Spielerlebnis dem ersten möglichst unähnlich sein würde. Ich erstellte also „Sandora“ meine Magierin und startete einen zweiten Durchlauf. Fühlt sich das so an, als Frau in dieser Welt zu Leben? 8220;, sie antwortete mit „Ja“. Ich rief: „das ist ja furchtbar! Ich bin eine Kampflesbe! Montag, Juli 12, 2010. Ich würde mal sagen, ich gehör...
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Jansal Mathematics | Mathematics for the Masses
Mathematics for the Masses. The Unity and Motivation Behind Statistical Measures: Standardized Moments. Leave a comment ». Read the rest of this entry ». Wednesday 29 May 2013 at 20:49:39. The Standard Algorithms of Arithmetic. Leave a comment ». Read the rest of this entry ». Thursday 25 March 2010 at 8:59:42. Tangent Lines Without Calculus: Convex Curves Only! Leave a comment ». Read the rest of this entry ». Thursday 25 March 2010 at 8:57:49. 8220;Number Sense” for the Comparison Test. N-1 n n 1.
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