By his estimation, switching to open-source software in general, and Python in particular, brought greater integrity and accountability to his research. This was because all of the code could be shared and run by any interested reader. Prof. Romer wrote an excellent article, Jupyter, Mathematica...
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I make no attempt to define what pure mathematics is, but hopefully it will be clear as you proceed. I also highlighted several books that you would really like to keep in your own library. You probably like to read those books again and again in your life. Free material excluded. Note...
Our documentation comments define the official Java Platform API Specification. To this end, our target audience is those who write Java compatibility tests, or conform or re-implement the Java platform, in addition to developers. We spend time and effort focused on specifying boundary conditions, ...
That blow up at s=1 seems insurmountable on the real number line, but in the complex plane you can just walk around it to see what’s on the other side. Left: ζ(s) for values of s>1 on the real number line. Right: The same red function surrounded by its “analytic continuation...
1 is being used in this work. We define the Biological Membrane (BM) effect as the tendency of the hydrophobic dipoles of phospholipids that constitute a biological membrane to join in parallel, forming one of the layers of the membrane (Fig. 1). Fig. 1 Biological Membrane (BM) effect. ...
We demonstrate in several examples that imposing the superconformal Ward identity is sufficient to fix the parameters of this ansatz uniquely, avoiding the need for a detailed knowledge of the supergravity effective action. The Mellin space approach is an "on- shell method" inspired by the close ...