Hi, I have to share a paper using this format for Animals: The following zip folder contains all files for preparing a manuscript in LaTeX. Inside this template folder is “template.tex” (the template file where the pap…
i showed if x=0, then fn(x) converges to 1, and if x is in (0, infinity), then fn(x) converges to 0. so my F, defined one way when x=0 and another when x>0, is not continuous. then the theorem says that fn does not converge uniformly. (a latex pdf is attached) ...
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cant rearrangement/reordering of contents.(Latex will keep track of renumbering everything,section numbers, theorem numbers,page numbers.) Many of the principles of good writing in general apply to math paper writ-ing.I wish I knew what they all were.However the next section gives the point ...
How to write a 21 Abstract A method of writing proofs is described that makes it harder to prove things that are not true. The method, based on hierarchical structuring, is simple and practical. The author’s twenty years of experience writing such proofs is discussed....
One factor that makes AI harder than most other types of work is that there are no generally accepted standards of progress or of how to evaluate work. In mathematics, if you prove a theorem, you've done something; and if it was one that others have failed to prove, you've done somet...
The key fact to note about coding is that the goals are different in academia and out. In academia, the end product is a publication and your code needs to work only once. After the important graph/image is generated and included in latex, you are finished. Outside academia the end prod...
I need to prove B.(Gradient . B) - B X(Gradient X B)=Del{i} [B{i}B{j} -1/2 (kroneker delta {ij} B^2] where I have used . as the dot product, {} as...
NO-cloning:quantum teleportation doesNOTenable us toclone unknown quantum states. There is a foundational result in quantum information, the no-cloning theorem, which says that it’s impossible to build a machine whose input is one unknown qubit and one known qubit, and then whose output is tw...
thesis. This was before LaTeX, before Microsoft Word for Windows—we used troff. Unfortunately, troff had no facility for forward references to symbolic labels: I wanted to be able to write "As we will see on page @theorem-x" and then write something like "@(set theorem-x \n%)" in ...