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Consider the Problem of a Vibrating String, Tightly-Stretched Between x=0x = 0

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Consider the problem of a vibrating string, tightly-stretched between x=0x = 0 and x=1x = 1 , with a fixed initial position, f(x) f ( x ) , and zero initial velocity. The mathematical problem for the deflection, u(x,t) u ( x , t ) , is ( with u(0,t) =0,u(1,t) =0) ( \text { with } u ( 0 , t ) = 0 , u ( 1 , t ) = 0 )

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Definitions:

Evidence

Information or data that is presented in support of an assertion, claim, or case, often in legal, scientific, or academic contexts.

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The willingness or readiness to receive and consider new ideas or suggestions.

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