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M aDifferential Operators Scalar Valued Function : A function f(x,y)=x2+y2 f(x,y)=x2+y2 defined on f(x,y,z)=log(x2+y2+z2)f(x,y,z)=log(x2+y2+z2)is scalar valued function defined on f:U⊂Rm→Rnf:U⊂Rm→Rn is called vector valued function. Note: f(u)=(f1(⏨u),f2(⏨u),⋯,fn(⏨u)) ∈Rnf(u)=(f1(u¯),f2(u¯),⋯,fn(u¯))∈Rn. Examples :…
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Vector and Scalar Valued Function
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M aDifferential Operators Scalar Valued Function : A function f(x,y)=x2+y2 f(x,y)=x2+y2 defined on f(x,y,z)=log(x2+y2+z2)f(x,y,z)=log(x2+y2+z2)is scalar valued function defined on f:U⊂Rm→Rnf:U⊂Rm→Rn is called vector valued function. Note: f(u)=(f1(⏨u),f2(⏨u),⋯,fn(⏨u)) ∈Rnf(u)=(f1(u¯),f2(u¯),⋯,fn(u¯))∈Rn. Examples :…