Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

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 →

Publicerat i Uncategorized | Lämna en kommentar

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

More vectorcalculus: Gauss theorem and Stokes theorem

Publicerat den maj 25, 2012 av mattelararen

Since the divergence of a vectorfield provides us with the number of field lines radiating outward from the source of the vectorfield it can be intuitively understood that the volume integral of the divergenbde of F equals the surface integral … Fortsätt läsa →

Publicerat i Uncategorized | Lämna en kommentar

Number theory-more on numbers

Publicerat den maj 23, 2012 av mattelararen

De första talen människan använde sig av var förmodligen positiva heltalen de sk. naturliga talen. De användes för att ange kvantiteter av olika ting: fem tomater, 10 persikor etc.. Då människan började med handel kunde man bli skuld satt och … Fortsätt läsa →

Publicerat i Gymnasiematematik(high school math), matematik 1c | Märkt , | 5 kommentarer

The decimalsystem and some terminology

Publicerat den maj 17, 2012 av mattelararen

At this point it  might be wise to take a closer look at the decimalsystem which is the way we use to represent quatities in mathematics. The decimalsystem is a positionsystem (based on powers of ten)  which means that the value of … Fortsätt läsa →

Publicerat i matematik 1c, Uncategorized | Lämna en kommentar

Divergence and curl of vectorfields

Publicerat den maj 11, 2012 av mattelararen

According to the Helmholtz-theorem a vectorfield is completely defined by the divergence and  curl of the vectorfield. the divergence is a measure of the strength of the source of the vectorfield whereas the degree of rotation of the field is given … Fortsätt läsa →

Publicerat i Calculus, Uncategorized, Vectors | 1 kommentar

Vectorproducts

Publicerat den maj 4, 2012 av mattelararen

Vectors can be multiplied in two ways: 1. The scalar product gives product of a vector and the projection of  the other vector upon the first one. This is calculated according to a b = ab cos(v) The result is a … Fortsätt läsa →

Publicerat i Calculus, Uncategorized | Märkt , | 2 kommentarer