Solve n equations without giving n?

• To: mathgroup at smc.vnet.net
• Subject: [mg30785] Solve n equations without giving n?
• From: "ChiaMing Yu" <yucalf at yam.com>
• Date: Wed, 19 Sep 2001 00:16:24 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Dear Sir,

How abstract can Mathematica deal with symbolic operation?
Given a system of n equations without giving n any number,
such as

q1 = q1 + q2 + q3 + ... + qn
q2 = q1 + q2 + q3 + ... + qn
q3 = q1 + q2 + q3 + ... + qn
...
...
qN = q1 + q2 + q3 + ... + qn

We know the answer of above system should be
q1 = q2 = q3 = ... = qn = 0

Can Mathematica solve this kind of abstract symbolic problems by
the following similar methods without giving n any specific number?

Solve[ {eq1==0, eq2==0, ... , eq[n]==0}, {var1, var2, ... , var[n]} ]

Thank you!

Chia-Ming Yu

```

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