List questions from linear-approximation

Published on 11 Sep 2023 - 19:13

108

Views

Why does taking the tangent line improve the approximation in Newton's method?

Published on 21 Oct 2023 - 12:50

50

Views

How can we prove that some function, .e.g., the hyperbolic tangent function, tends to be linear around zero?

Published on 03 Nov 2023 - 20:08

81

Views

Is the product of two Jacobian matrices equal to the locally linear approximation of the original functions?

Published on 08 Dec 2023 - 4:53

361

Views

Particular Integral, with sequence

Published on 25 Feb 2026 - 7:46

22

Views

Solving ODE near a point by Taylor expansions

Published on 25 Feb 2024 - 18:41

43

Views

Why is $\lim_{x\to a}\frac{E(x)}{x-a} = 0$, instead of $\lim_{x\to a} E(x) = 0,$ used to explain why linear approximation works?

Published on 16 Mar 2024 - 18:58

7.9k

Views

Use Linear Approximation to estimate $\Delta f=f(3.02)-f(3)$

Published on 05 Jan 2015 - 23:58

101

Views

Messing with the linear approximation... I don't get Taylor's formula??

Published on 14 Mar 2015 - 22:39

94

Views

Second Order Approximation for a Polynomial

Published on 19 Mar 2015 - 18:13

189

Views

Linear Approximation of a quantity

Published on 21 Mar 2015 - 17:01

19k

Views

Linear approximation with two variables

Published on 23 Mar 2015 - 19:56

151

Views

Linear approximation to find partial derivatives

Published on 24 Mar 2015 - 1:58

82

Views

error in approximation a monotonic function in L^1

Published on 26 Apr 2015 - 3:10

244

Views

Quadratic/ Cubic/ etc approximations without the Taylor series

Published on 04 May 2015 - 23:34

List Question

Jacobian of azimuth and elevation angles with respect to unit vector

Why does taking the tangent line improve the approximation in Newton's method?

How can we prove that some function, .e.g., the hyperbolic tangent function, tends to be linear around zero?

Is the product of two Jacobian matrices equal to the locally linear approximation of the original functions?

Particular Integral, with sequence

Solving ODE near a point by Taylor expansions

Why is $\lim_{x\to a}\frac{E(x)}{x-a} = 0$, instead of $\lim_{x\to a} E(x) = 0,$ used to explain why linear approximation works?

Use Linear Approximation to estimate $\Delta f=f(3.02)-f(3)$

Messing with the linear approximation... I don't get Taylor's formula??

Second Order Approximation for a Polynomial

Linear Approximation of a quantity

Linear approximation with two variables

Linear approximation to find partial derivatives

error in approximation a monotonic function in L^1

Quadratic/ Cubic/ etc approximations without the Taylor series

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