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Author Archives: mattelararen
Multiplication and additionprinciple
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
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Peculiar functions with descriptions
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
The Amur leopard – an ecotype
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
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
The area of the circle
‘Minute Physics’ derives the area of the circle with a string of pearls and a ruler:
Publicerat i Geometri, Gymnasiematematik(high school math)
Märkt area of circle, minute physics
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Modular arithmetic & the Chinese Rest Theorem
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)
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Exceldiagrams
Excel is a versatile programme for e.g. statisitics. Learn more!
Publicerat i Gymnasiematematik(high school math)
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Asteroid-passage
In the evening today February the 15th. an asteroid flies by close to the Earth only about 27 600 km away. It measures about 40 m in length and is similar to the one responsible for the Tunguska (Siberia) impact … Fortsätt läsa
Conical sections
The force of gravity determines the trajectories of the celestial bodies. Mathematical analysis reveals that there are three types of trajectories possible for a body moving in a gravitational field determined by Newton’s law of gravity. If one of the … Fortsätt läsa
Publicerat i Geometri, Gymnasiematematik(high school math), matematik 2c
Märkt Apollonius, conical sections, gravity, Newton
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