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https://mathworld.wolfram.com/Jacobian.html

Jacobian -- from Wolfram MathWorld

Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...



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Jacobian -- from Wolfram MathWorld

https://mathworld.wolfram.com/Jacobian.html

Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...



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https://mathworld.wolfram.com/Jacobian.html

Jacobian -- from Wolfram MathWorld

Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...

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      Jacobian -- from Wolfram MathWorld
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      Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...
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      Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...

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      Jacobian -- from Wolfram MathWorld
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      Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...

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      Given a set y=f(x) of n equations in n variables x_1, ..., x_n, written explicitly as y=[f_1(x); f_2(x); |; f_n(x)], (1) or more explicitly as {y_1=f_1(x_1,...,x_n); |; y_n=f_n(x_1,...,x_n), (2) the Jacobian matrix, sometimes simply called "the Jacobian" (Simon and Blume 1994) is defined by J(x_1,...,x_n)=[(partialy_1)/(partialx_1) ... (partialy_1)/(partialx_n); | ... |; (partialy_n)/(partialx_1) ... (partialy_n)/(partialx_n)]. (3) The determinant of J is the Jacobian...
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