I'm a follower.
1. Pick up the nearest book ( of at least 123 pages).
2. Open the book to page 123.
3. Find the fifth sentence.
4. Post the next three sentences.
5. Tag others if you feel like it, which you don't if you're a pirate.
Recall that the calculus of variations problem with Lagrangian L, discussed in 3.3.1, led to Hamilton's ODE for the associated Hamiltonian H. Since these ODE are also the characteristic equations of the Hamilton-Jacobi PDE, we conjecture there is probably a direct connection between this PDE and the calculus of variations. So if [note: I don't know how to type math in Blogger, so the following is paraphrased] x in R^n and t > 0 are given, we should presumably try to minimize the action of integrating L(w'(s)) from 0 to t with respect to s over functions w: [0,t] -> R^n satisfying w(t) = x.
4 comments:
We dissent, first because it is the opinion of the most celebrated writers on, and confirmed by uniform experience, that a very extensive territory cannot be governed on the principles of freedom, otherwise than by a confederation of republics, possessing all the powers of internal government, but united in their general, and foreign concerns. . . . We dissent, secondly, because the powers vested in Congress by this constitution, must necessarily annihilate and absorb the legislative, executive, and judicial powers of the several states, and produce from their ruins one consolidated government, which from the nature of things will be an iron-handed despotism, as nothing short of the supremacy of despotic sway could connect and govern these United States under one government.
You should switch over to Wordpress.com, which lets you do LaTeX coding right in the text field for your posts (and comments).
My book was across the room, however, it is also available for free online:
http://www.inference.phy.cam.ac.uk/mackay/itprnn/book.html
For sources with small
entropy, the symbol has to emit at least one bit per source symbol;
compression below one bit per source symbol can be achieved only by the cumbersome procedure of putting the source data into blocks.
The distinctive property of stream codes, compared with
symbol codes, is that they are not constrained to emit at least one bit for every symbol read from the source stream.
And a hundredth part of the proceedings of this people, which now began to be numerous, cannot be written upon these plates; but many of their proceedings are written upon the larger plates, and their wars, and their contentions, and the reigns of their kings. These plates are called the plates of Jacob, and they were made by the hand of Nephi. And I make an end of speaking these words.
Post a Comment