Linear Combinations of Curves in Complex Plane
Linear Combinations of Curves in Complex Plane
This Demonstration illustrates a vector subspace of functions over the field of complex numbers. A basis is , where and are different integers. If and , then and .
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f(t)=a+b
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g(t)=c+d
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h(t)=f(t)+g(t)=(a+c)+(b+d)
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kh(t)=k(a+c)+k(b+d)
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