Author Archives: mattelararen

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About mattelararen

Licentiate of Philosophy in atomic Physics Master of Science in Physics

Diophantine equations

A Diophantine equation is an equation in which only integers are allowed as coefficients. Also the solutions must be integers. This can be written as ax + by = c. This is a linear diophantine equation. For non-linar diophantine equations … Fortsätt läsa

Publicerat i Algebra, Gymnasiematematik(high school math), matematik 1c, Uncategorized | Märkt | Lämna en kommentar

Invited speaker at Matematikbromötet 2012

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

Probability

The probability of a certan outcome of an experiment can be calculated as the quotient of the number of outcomes giving the desired result and the number of possible outcomes. P(A) = (number of outcomes giving the desired results)/ (number … Fortsätt läsa

Publicerat i Gymnasiematematik(high school math), Probability | Märkt | 1 kommentar

Polar rose

An example of> polar coordinates >and the funny graphs you can draw with them. Here a >polar rose>.

Publicerat i Gymnasiematematik(high school math), matematik 4, Uncategorized | Lämna en kommentar

Regula de tri och ekvationer samt olikheter

  Ekvationelösningens grunder visas i denna filmsnutt.   This is one of the most useful methods in mathematics when it comes to usefulness. It means ‘the rule of three’ and concerns computing the third un-known variable when the two others … Fortsätt läsa

Publicerat i Gymnasiematematik(high school math), matematik 1c | Märkt , , | Lämna en kommentar

Reflection 2:

Is it posible to reduce the number of coordinates necessary to specify the position in space from three to one if space itself is quantised?

Publicerat i Uncategorized | Lämna en kommentar

A reflection

Is faculty defined for non-integers? Ex 5! =5*4*3*2*1=120 What about 0.1!?

Publicerat i Uncategorized | Lämna en kommentar

Complex integral solved with Cauchy’s integral formula

Arfken 6.4.4Arfken 6.4.4

Publicerat i Calculus, Imaginary numbers, Uncategorized | Märkt , | Lämna en kommentar

Partial differential equations

A Partial differential equation is a differential equation that contains unknown multivariable functions and their partial derivatives. They are used to formulate problems involving functions of several variables. They can either be solved by hand or used to create a relevant computer … Fortsätt läsa

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4 | Märkt , , , , , , , , , , , , | 1 kommentar

Differential equations of the second order

Second order differential equations of the homogen type y” (x)+ a y'(x) + by(x) = 0 are possible to solve with the aid of the characteristic equation r2 + a r +b =0 If this have the roots r1 and … Fortsätt läsa

Publicerat i Calculus, matematik 4, matematik 5 | Märkt | 2 kommentarer