The theory of variational calculus was first introduced in the seventeenth century. Like most fields of mathematics the beginning theory is used today. One of the most important concepts was the formulation of
The area of investigation is the Fourier analysis and the theory of approximation of functions. Used are methods of classical analysis including special functions, Banach spaces, etc., of harmonic analysis in finitedimensional Euclidean space, of Diophantine analysis, of random choice, etc. The ...
For Neanderthals,being “morning people” might not have been the real benefit of carrying these genes. Instead, scientists suggest, Neanderthals’DNA gave them faster, more flexible internal body clocks, which allowed them to adjust more easily ...
In March of last year, apaper(paywall) and aposterwere published that claimed generic versions of Pfizer’s Lipitor (atorvastatin) had quality problems that may impact public health. The study in question was run by a physician at Brigham and Women’s hospital in Boston by the name of Prest...
The Hubbard model of interacting electrons, like the Ising model of spin-spin interactions, is the simplest possible model displaying many “real world” features, but it is much more difficult to analyze qualitatively than the Ising model. After a third
Many researchers used fractional calculus as a powerful tool to model real-world problems as fractional differential equations, using various definitions of fractional integral and derivative such as Riemann–Liouville, Caputo, Hadamard, Caputo–Fabrizio [4], [5], [6], [7], [8], [9], [10]...
Problems and Theorems in Analysis, Series, Integral Calculus, Theory of Functions, vol. 1, Springer-Verlag, New York (1972) Google Scholar [2] S.S. Dragomir Discrete Inequalities of the Cauchy–Bunyakovsky–Schwarz Type Nova Science Publishers, New York (2004) Google Scholar [3] G.S. Wats...
The hypothesis must be stated in this way because (a) it has not been proved that noL(s) has real zeros between 1/2 and 1, (b) theL-functions associated withimprimitive (uneigentlich) characters have zeros on the line σ=o. Naturally many of the results stated incidentally do not depe...
What problems does peter deal with? Every day? Cause some complaints. Car breakdowns. Small system falls. See some mittens. What kind of problems does peter develop for special a computer task? In house game sells sports. What are the regular meeting here? What is peter's are too tight ...
In fact, we demonstrate this in Chapter 3, Deep Learning Fundamentals, where we build an entire neural network from basic code in less than 70 lines of code!Training deep learning models is difficult but it is not an art form. It does require practice, but the same problems occur over ...