Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

Definition of groups

Publicerat den juli 19, 2012 av mattelararen

A group in mathematics has the following properties: There exist a set of elements p, q, r, …  and a binary operation which applied to p, q gives pq. The set is closed under this single-valued operation.  The associative law: … Fortsätt läsa →

Publicerat i Algebra | Lämna en kommentar

Normalized coordinates

Publicerat den juli 14, 2012 av mattelararen

If A, b, c are three non-linear points, any vector P inside the triangle ABC may be expressed in terms of vectors A, B C thus: P =xA + yB + zC   with x + y + z = 0 and … Fortsätt läsa →

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Collinearity

Publicerat den juli 10, 2012 av mattelararen

Theorem: If A, B and C are collinear points, then the real numbers x, y, z not all zero can be found such that x + y + z = 0 xA + yB + zC = 0. and also … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar

More vector algebra

Publicerat den juli 7, 2012 av mattelararen

A clever way to express the equation of a line is to use the parameter form. If C is any point on the line determined by two points a and B then we may always write C = (1-t) A … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar

Venus transit in H- alpha

Publicerat den juli 6, 2012 av mattelararen

Picture of Venus transit photographed with an Hα- filter. λ = 6566 A. Resolution 1 A. In this picture it is possible to cpmåare the size of the Earth to that of the Sun since Venus is of the same … Fortsätt läsa →

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Linear dependence

Publicerat den juli 3, 2012 av mattelararen

The vectors P1, P2, P3, … are said to be linearly dependent if the real numbers k1, k2, k3, .. not all zero can be found so that k1P1 + k2P2 + ….. + knPn = 0. Since it is … Fortsätt läsa →

Publicerat i Geometri, matematik 1c, Vectors | Lämna en kommentar

Euclidean Definitions

Publicerat den juni 21, 2012 av mattelararen

A line has length between two points but no width. A point has no components i.e. it can’t be divided into parts. A straight line traces the closest distance between two points. A curved line has no straight segments. A surface … Fortsätt läsa →

Publicerat i Geometri, Uncategorized | 4 kommentarer

More Elements

Publicerat den juni 20, 2012 av mattelararen

There are two types of proof: Direct proofs: Where it is proved (deduced or induced) from the basic axioms, definiyions or earlier proved theorems that the statement is correct. Indirect proofs: The principle for this type of proofs is that … Fortsätt läsa →

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Venus transit

Publicerat den juni 11, 2012 av mattelararen

Last Wednesday the planet Venus passed between the Sun and the earth. A rare astronomical event that will not happen again until 2117.

Publicerat i Astronomy | Lämna en kommentar

Euclidean Geometry

Publicerat den maj 29, 2012 av mattelararen

I have started to read Euclid’s ‘Elements’. This is perhaps the most influential book in mathematics and was used for more than two-thousand years in schools all over the western world. My edition is written by Christian Fredrik Lindman lecturer of … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar