Intra functional relations
- To: mathgroup at smc.vnet.net
- Subject: [mg47493] Intra functional relations
- From: mathma18 at hotmail.com (Narasimham G.L.)
- Date: Wed, 14 Apr 2004 07:16:47 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
This may be almost frivolous: If f[x_]+f[y_]=f[x*y],then, can Mathematica prove or solve f[x_]= C Log[x],( C arbitrary constant) ? Also, if g[x_+y_]=g[x]*Sqrt[1- g[y]^2] + Sqrt[1- g[x]^2]*g[y],then, can it be proved that g[x_]=Sin[x]? Can the function capabilities of Mathematica in some way be put to use here? Regards.
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