To think on saddle point. Why are they given that name? If there is any connection between real saddles, explain it. Concept Introduction: A two dimensional linear system is a system of the form x ˙ = a+by , where a, b,c, d are parameters. A saddle point can be defined as a point on a graph that is neither a local minimum nor a local maximum . At the saddle point, the partial derivatives of x and y are both equal to zero.

Question

Want to see the full answer?

Answer 1

Question

Chapter 5.1, Problem 13E

Interpretation Introduction

Interpretation:

To think on saddle point. Why are they given that name? If there is any connection between real saddles, explain it.

Concept Introduction:

A two dimensional linear system is a system of the form x˙ = a+by, where a, b,c, d are parameters.

A saddle point can be defined as a point on a graph that is neither a local minimum nor a local maximum.

At the saddle point, the partial derivatives of x and y are both equal to zero.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Do College Students With Part-Time Jobs Sleep Less? College students were surveyed about the number of hours they sleep each night.Group A = With part-time jobs | Group B = Without jobs Group A: 6, 5, 7, 6, 5Group B: 8, 7, 9, 8, 7 Instructions: State your hypothesis and perform a two-sample t-test with all formulas. Create histograms for each group. Label axes and add titles. Comment on the distribution shape (e.g., normal, skewed, etc.).Solve on pen and paper

This is advanced mathematics question that need detailed solutions

Question: Let F be a field. Prove that F contains a unique smallest subfield, called the prime subfield, which is isomorphic to either Q or Zp for some prime p. Instructions: • Begin by identifying the identity element 1 € F. • Use the closure under addition and inverses to build a subring. • • • Show that either the map ZF or Q →F is an embedding. Prove minimality and uniqueness. Discuss the characteristic of a field and link it to the structure of the prime subfield.