A quantity named for this man must be non-zero for a continuously differentiable multivariate function to be invertible.
One construct due to this person provides the differential equations of motion for a system point in configuration space; that object results from considering the time and coordinate variations of the path integral of the square root of the difference of the Hamiltonian and potential. This scientist co-names an equation whose solution is known as Hamilton's principal function. The vanishing of the sum of cyclically permuted, nested Poisson or Lie brackets of three quantities is known as his namesake identity. A quantity named for this man must be non-zero for a continuously differentiable multivariate function to be invertible. For 10 points, identify this man who names the matrix of first derivatives of vector-valued functions.
One construct due to this person provides the differential equations of motion for a system point in configuration space; that object results from considering the time and coordinate variations of the path integral of the square root of the difference of the Hamiltonian and potential.
Carl Gustav Jacob Jacobi