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05/25/07 -
[math] :)

vedic

Dr. V. Lakshmikantham.
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nicnak


05/25/07 -
[math] :)

The earliest recorded statements of combinatorical rules appear in India. The medical
treatise Sushruta Samhita written by Sushruta in the 6th century BC states that 63
combinations can be made out of six different tastes—bitter, sour, salty, sweet,
astringent, and hot—by taking them one at a time, two at a time, three at a time, etc. In
other words, there are 6 single tastes, 15 combinations of two, 20 combinations of three,
etc. The Bhagabati Sutra, written by a Jaina mathematician circa 300 BC,

transition metal copper sulphate

nicnak


05/25/07 -
[math] :)

It demonstrates how normal matter - including stars,
galaxies and gas - is built, inside an underlying scaffolding of dark matter.

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Derivation of Fresnel's formula

Fresnal
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nicnak


05/25/07 -
[math] :)

Ampère-Maxwell law

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The statements
of these four equations are, respectively:
(1) electric field diverges from electric charge, an expression of the Coulomb force,
(2) there are no isolated magnetic poles, but the Coulomb force acts between the poles of a magnet,
(3) electric fields are produced by changing magnetic fields, an expression of Faraday's law of induction, and
(4) circulating magnetic fields are produced by changing electric fields and by electric currents, Maxwell's extension of Ampère's law (q.v.) to include the interaction of changing fields.


The most compact way of writing these equations in the metre-kilogram-second (mks) system is in terms of the vector
operators div (divergence) and curl. In these expressions the Greek letter rho, r, is charge density, J is current density, E is the
electric field, and B is the magnetic field; here, D and H are field quantities that are proportional to E and B, respectively. The four
Maxwell equations, corresponding to the four statements above, are: (1) div D = r, (2) div B = 0, (3) curl E = -dB/dt, and (4) curl H = dD/dt + J.

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nicnak