| He also worked on determinants and studied the functional determinant now called the Jacobian. |
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| If the cull is sufficiently small, this response is given by an element of the inverse of the Jacobian matrix. |
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| Advanced calculus gives us a strong tool for finding the change in the area of a given shape under continuously differentiable transformations-namely, the Jacobian. |
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| He showed how to find integrals of a general system of partial differential equations by using sequential complete systems instead of passing to Jacobian systems. |
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| Newton's method requires the Jacobian matrix to be computed at each iteration. |
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| The mathematical condition for the caustic surface to exist is that the Jacobian determinant of the mapping equation be zero. |
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| F respectively as the Picard group of divisors and as the Jacobian group of holomorphic forms. |
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| We prove that certain degenerate abelian varieties, the compactified Jacobian of a nodal curve and a stable quasiabelian variety, satisfy autoduality. |
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| According to the Routh-Hurwitz theorem a necessary condition for local stability of the system is that the determinant of the Jacobian is negative. |
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