## Eulers polyederformula

Definition: A graph is called planar if can be drawn in one plane without any arcs crossing each other. Definintion: The graph G = (V,E) is called bipartite if the nodes can be divided into two disjunct parts V = … Läs mer

Publicerat i Algebra, Gymnasiematematik(high school math), matematik 5 | | 2 kommentarer

## More Graphtheory

More graph-terminology: The distance between two nodes is the shortest distance between the two nodes. A graph that starts and ends in the same node is called a cycle or a closed circuit. A simple path trespasses every node only … Läs mer

## Graph theory

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 … Läs mer

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## Combinations

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 … Läs mer

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## Permutations

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 … Läs mer

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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 … Läs mer

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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 … Läs mer

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## 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 … Läs mer

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