MTH623 Finalterm Quiz solution by taleemi markaz скачать в хорошем качестве

MTH623 Finalterm Quiz solution by taleemi markaz

MTH623 FinalTerm preparation Quiz (Lecture 23-45) with 100% accurate Solution #mth623finaltermQuiz #tensoranalysis #mth623 #mth623finalterm #virtualuniversity #virtualuniversityofpakistan #vu For More Quiz Keep visiting our Channel "TALEEMI MARKAZ". Don't Forget to Subscribe our Channel. Thanks Questions: The Christoffel symbols of first kind 𝚪_𝒊𝒋𝒌 are defined by In generalized curvilinear coordinates the divergence of vector point function 𝑨^𝒊=𝑨^𝒊 (𝒙^𝒊 ) is defined as Christoffel symbols of first and second kind include derivatives of The Christoffel symbols of first kind 𝚪_𝒊𝒋𝒌 are symmetric in The Christoffel symbols of first kind satisfy the transformation law of a third rank tensor. The Christoffel symbols of first and second kind are equal in any coordinate system. In the notation 𝚪_𝒊𝒋^𝒌 of Christoffel symbol of second, the symbol 𝒌 tells The covariant differentiation of metric tensor is For a diagonal metric which of the following is true? The covariant differentiation of a tensor with constant components is zero. The covariant derivative and partial derivatives coincide when _________ are constant. In curvilinear coordinates the derivative of a vector also includes In generalized curvilinear coordinates the gradient of scalar function ∅=∅(𝒙^𝒊 ) is defined as The covariant derivative of an arbitrary tensor is tensor. The ordinary derivative of a tensor is a tensor if and only if coordinate changes are restricted to The covariant differentiation of a scalar is equal to In any coordinate system 𝒙^𝒊, the covariant derivative with respect to 𝒙^𝒌 of a covariant vector 𝚪_𝒊 is defined as Which of the following is true for basis vectors in general curvilinear coordinates systems?