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INTEGRALS Well dear ! I really find dese sometimes really confusing , when not learnt proper ly soooooooooooooo posting it here In eax sinbx dx =eax/a2+b2 (a sinbx +b cosbx) In sin mx cos nx dx (i)If one of dem is odd den subs for odd one (i.e put it equal to t
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submitted by pink_ele (1385 m) on 17 Mar 2008 12:38:03 IST (4 comments 253 views)
Introduction and Examples DEFINITION: A matrix is defined as an ordered rectangular array of numbers. They can be used to represent systems of linear equations, as will be explained below Here are a couple of examples of different types of matrices: Symmetric Diagonal Upper Triangular Lower Triangular Zero Identity And a fully expanded mxn matrix A, would look like this:or in a more compact form: Matrix Addition and Subtraction DEFINITION: Two matrices A and B can be added or subtracted if and only if their dimensions are the same (i.e. both matrices have the identical amount of rows and columns. Take: &n
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submitted by pirate1_from_jee (596 m) on 25 Jun 2007 18:25:10 IST (1 comments 157 views)
Electrostatic Potential Energy Consider the following situation: a) Particle with mass m in gravitational field b) Charged particle with charge q in an electric field Both gravitational and electrical forces are conservative. The work done by a conservative force: can be expressed as difference between initial and final values of potential energy, it is reversible, it is independent of the path taken, for a path around a closed loop, the work done is zero. In each case the particle accelerates uniformly: it gains kinetic energy K, as it looses potential energy U. W
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submitted by pirate1_from_jee (596 m) on 19 Jun 2007 20:38:10 IST (1 comments 1129 views)
Diels-Alder Reaction The [4+2]-cycloaddition of a conjugated diene and a dienophile (an alkene or alkyne), an electrocyclic reaction that involves the 4 ?-electrons of the diene and 2 ?-electrons of the dienophile. The driving force of the reaction is the formation of new ?-bonds, which are energetically more stable than the ?-bonds. In the case of an alkynyl dienophile, the initial adduct can still react as a dienophile if not too sterically hindered. In addition, either the diene or the dienophile can be substituted with cumulated double bonds, such as substituted allenes. With its broad scope and simplicity of operation, the Diels-Alder is the most powerfu
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submitted by pirate1_from_jee (596 m) on 19 Jun 2007 20:17:24 IST (2 comments 131 views)
