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MathGroup Archive 2005

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Modifying equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg59135] Modifying equations
  • From: "Kalle Rutanen" <kalle_rutanen at nospam.hotmail.com>
  • Date: Sat, 30 Jul 2005 01:25:07 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hello

My intention is to write a mathematical paper which derives results step by
step. So here is my first question:

Given the equations
eqn1 = a == b
eqn2 = c == d

How can I combine these to form (for example)
a + c == b + d ?

I tried the obvious eqn1 + eqn2, but that does not seem to work...

Second question:

Given this:
Sum[a_i, {i, 0, n}] + Sum[b_i, {i, 0, n}]
How can I make Mathematica combine the sums giving:
Sum[a_i + b_i, {i, 0, n}] ?

Thanks.



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