Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

Graph theory

Publicerat den mars 18, 2013 av mattelararen

Complicated relations between different objects/phenomena can be visualized with graphs. a graph G is defined as an ordered pair of sets G = (V,E). where E is an ordered pair {a, b}, a,b ∈V. e.g. constitutes a pair of element … Fortsätt läsa →

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Combinations

Publicerat den mars 15, 2013 av mattelararen

It is called acombination of r elements if the order of the elements in a selection of r elements out of n elements is irrelevant and redundance is not allowed. Another way of ststing this is to say that all … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c, matematik 5, Probability, Uncategorized | Märkt | Lämna en kommentar

Permutations

Publicerat den mars 14, 2013 av mattelararen

A permutation is an ordered arrangement of objects. Ex. If you have n objects to choose from you have n options for the first object, (n-1) options for teh second, (n-2) for the third and so on. Therefore the number … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar

Multiplication and additionprinciple

Publicerat den mars 14, 2013 av mattelararen

If you are in a situation where you have two make two consecutive choices and the first one can be selected from n alternatives and the second can be selected from m alternatives the total number of possible combinations is … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c, matematik 4, matematik 5, Probability | Märkt , | Lämna en kommentar

Support WWF

Publicerat den mars 12, 2013 av mattelararen

Våra olika stödformer Fadderskap Stöd WWF med en banner       Kontakt Världsnaturfonden WWF Ulriksdals Slott 170 81 Solna Tel: 08-624 74 00 PG: 90 1974-6 BG: 90 1-9746 info@wwf.se     Stöd WWF med en banner Världsnaturfonden WWF … Fortsätt läsa →

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Peculiar functions with descriptions

Publicerat den mars 10, 2013 av mattelararen

The cycloid describes the motion of a point on the perimeter of a wheel. The tractoria  (or tractrix) is a curve where the length of the tangent from the tangentialpoint to the x-axis has a constant length a. Its evolute is the … Fortsätt läsa →

Publicerat i Algebra, matematik 1c | Märkt | Lämna en kommentar

The Amur leopard – an ecotype

Publicerat den mars 5, 2013 av mattelararen

Most leopards live on savannahs in tropical climate. However at the north-eastern limit of its range it exists in a cold-temperate climate with lots of snow and down to minus 25 degrees centigrade in the winter. Only about 40 of … Fortsätt läsa →

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Solving polynomial equations, descartes theorem

Publicerat den februari 28, 2013 av mattelararen

A large part of the algebra courses at upper secondary-school level are devoted to solving equations or factorization of polynomials. This is often the same thing. Some terminology. All of these are the same: Solving a polynomial equation. Finding roots … Fortsätt läsa →

Publicerat i Algebra, Gymnasiematematik(high school math), matematik 2c | Märkt , , , , | Lämna en kommentar

The area of the circle

Publicerat den februari 27, 2013 av mattelararen

‘Minute Physics’ derives the area of the circle with a string of pearls and a ruler:

Publicerat i Geometri, Gymnasiematematik(high school math) | Märkt , | Lämna en kommentar

Modular arithmetic & the Chinese Rest Theorem

Publicerat den februari 21, 2013 av mattelararen

modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers ”wrap around” upon reaching a certain value—the modulus. An example of this is the clock which starts repeating itself when it has reached 12. Therefore it … Fortsätt läsa →

Publicerat i Algebra, Gymnasiematematik(high school math) | Lämna en kommentar