Author Archives: mattelararen

Profilbild för Okänd

About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

HTML coding

Publicerat den september 6, 2013 av mattelararen

A good instructionfilm about HTML-coding.  

Publicerat i Uncategorized | Lämna en kommentar

The standard model

Publicerat den augusti 21, 2013 av mattelararen

The standard model is the broadly accepted theory for the building blocks of the universe. The fundamental forces and the elementary particles. According to this theory the particles can be divided into hadrons and leptons. They are the building blocks … Fortsätt läsa →

Publicerat i Fysik 2, Gymnasiefysik(high school physics), Mathematical physics | Märkt , | 1 kommentar

Lagrangian mechanics

Publicerat den augusti 5, 2013 av mattelararen

In functional analysis the variable itself is a function. This is used e.g. in the Lagrangian formulation of mechanics where one derives the Lagrangian i.e. L = kinetic energy – potential energy. This transforms classical Newtonian mechanics into differentialcalculus. The … Fortsätt läsa →

Publicerat i Advanced, Calculus, Fysik 2, Mathematical physics | Märkt , , | Lämna en kommentar

Hyperbolic functions

Publicerat den juni 8, 2013 av mattelararen

The hyperbolic functions have similar names to the trigonometric functions, but they are defined in terms of the exponential function. In this unit I define the three main hyperbolic functions, and sketch their graphs. I also discuss some identities relating … Fortsätt läsa →

Publicerat i Geometri, Uncategorized | Märkt | Lämna en kommentar

Matrices

Publicerat den maj 19, 2013 av mattelararen

A matrix is a square or retangular array of numbers or function of numbers that obeys certain laws. The numbers are distinguished by two subscripts ij. The first indicating the row and the second indicating the column (vertical). in which … Fortsätt läsa →

Publicerat i Algebra, matematik 5 | Märkt , | Lämna en kommentar

Spherical harmonics

Publicerat den maj 12, 2013 av mattelararen

The spherical harmonics are functions describing the angular dependence of many physical problems e.g solutions to the Schrödinger equation for the hydrogen atom. If the latitiude is denoted by v and x= cosv then  the equation is (d/dx){(1 – x2)dPndx} … Fortsätt läsa →

Publicerat i Calculus | Märkt , , | Lämna en kommentar

The Meton Cycle

Publicerat den april 18, 2013 av mattelararen

The ancient greek astronomer Meton observed that the lunar phases are repeated on the same weekday once every 19th year. therefore this period is referred to as the Meton Cycle.  Theses days were carved in a stone at Forum Romanum in ancinet … Fortsätt läsa →

Publicerat i Astronomy | Lämna en kommentar

The KAngaroocompetition 2013

Publicerat den april 3, 2013 av mattelararen

On March 21th I participated in the Kängurutävlingen arranged by the Royal Swedish academy of Science. My result was 45p. See examples from last years competition here

Publicerat i Uncategorized | Lämna en kommentar

Eulers polyederformula

Publicerat den mars 27, 2013 av mattelararen

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 = … Fortsätt läsa →

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

More Graphtheory

Publicerat den mars 19, 2013 av mattelararen

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 … Fortsätt läsa →

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