x ∈ T, t ∈ [0, T], / / 1 - tanh(x
... a) Check that s(t, x ) indeed solves the NLS. Hint: Write the derivatives ∂t s and ∂ xx s in terms of s. b) Show that subproblem (II) can be solved exactly w.r.t. time t. Now let g( x ) = s(0, x ). c) Write a M ATLAB function to solve the NLS on the torus T applying Lie splitting. d) Write a M ATLAB ...
... a) Check that s(t, x ) indeed solves the NLS. Hint: Write the derivatives ∂t s and ∂ xx s in terms of s. b) Show that subproblem (II) can be solved exactly w.r.t. time t. Now let g( x ) = s(0, x ). c) Write a M ATLAB function to solve the NLS on the torus T applying Lie splitting. d) Write a M ATLAB ...
Problem set 7
... for any pair of states u, v. Say why this is the same as Auv = (Avu )∗ . 4. Now suppose A satisfies (1). We wish to show that it also satisfies (2). To show this, we put ψ = u + v and ψ = u + iv in (1) and add the two resulting equations. Show that this reduces to Auv = (Avu )∗ . Thus the reality of ...
... for any pair of states u, v. Say why this is the same as Auv = (Avu )∗ . 4. Now suppose A satisfies (1). We wish to show that it also satisfies (2). To show this, we put ψ = u + v and ψ = u + iv in (1) and add the two resulting equations. Show that this reduces to Auv = (Avu )∗ . Thus the reality of ...
Solving Proportions
... Solving Proportions MAT222 Intermediate Algebra Prof Karen Vellekamp December 13, 2012 ...
... Solving Proportions MAT222 Intermediate Algebra Prof Karen Vellekamp December 13, 2012 ...
Solving one step equations
... You will need to know how to solve word problems involving these equations, by using the four-step problem solving plan: ...
... You will need to know how to solve word problems involving these equations, by using the four-step problem solving plan: ...
Keck Lobby Brochure
... greatest blunder, but that quantity may be needed if, as recent observations suggest, the expansion of the universe is accelerating. A remaining challenge for physicists in the 21st century is to produce a fundamental theory uniting gravitation and quantum mechanics. ...
... greatest blunder, but that quantity may be needed if, as recent observations suggest, the expansion of the universe is accelerating. A remaining challenge for physicists in the 21st century is to produce a fundamental theory uniting gravitation and quantum mechanics. ...