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Author Archives: mattelararen
Thermodynamics 2 Entropy
A collection of rembrandts self-portraits serve as an illustration of the passage of time When left to itself snow spontaneously would never build a snowman. It will only form different kinds of heaps . This can be undestood as the … Fortsätt läsa
Publicerat i Calculus, Gymnasiefysik(high school physics), Thermodynamics
Märkt entropi, entropy
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Thermodynamics 1
Världens största ånglok, Big Boy, är exempel på en värmemaskin vars effektivitet beror på temperaturskillnaden mellan vattenångan och den omgivande luften. A spacecraft enters the atmosphere with a velocity of appr. 40 000 km The temperature is a measure of … Fortsätt läsa
Publicerat i Thermodynamics
Märkt absolute zero, heat, laws of thermodynsamics, temperature, värme
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Science RSS-feed
For your service and convenience; I have added an RSS-feed from Daily Telegraph as a widget in the meny list to the right. Just click on the link and the latest Science and Tech-News will flow into your computer. Today … Fortsätt läsa
MacLaurin-polynomials
→Taylor-expansion is a method of approximating a function f(x) around a point a with a polynomial of the argument x in the vicinity of a. The polynomial itself consists of the derivatives of the function of various orders. Tn(x) = … Fortsätt läsa
Publicerat i Calculus, Gymnasiematematik(high school math)
Märkt MacLaurin polynomials, TAylor-series
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Learn about buoyancy and how to compare apple and pears:
Publicerat i Uncategorized
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Integration by parts
Integration by parts can be regarded as the inverse to the product rule for differentiation. Suppose U(X) and V(x) are two differentiable functions. According to the product rule dU(x)V(x)/dx = U(x) dV(x)/dx + V(x)dU(x)/dx = U(x) dV(x)/dx+ V(x)dU(x)/dx Integrating both … Fortsätt läsa
Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4
Märkt integrate lnx., integration by parts
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Techniques of integration
If the primitive function of an integrand can be found it is always best to take advantage of the fundamental theorem of calculus. In order to be able to determine integrals whose indefinte integrals(primitive functions) cannot be found immediately some … Fortsätt läsa
Venn-diagrams
A good way of illustrating probabilities is to use so-called Venn-diagrams. In effect this means representing the probability of an event with circles. Mutually excluding events can be represented by two separate non-overlapping ciecles. P(A) + P(B) = P(A U … Fortsätt läsa
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