expeditious 发表于 2025-3-25 06:09:34
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in the form of a calculus. (Here the Boolean algebra played an essential pioneer role. ) One could now perhaps have conjectured that all mathematical problems are solvable by algorithms. However, well-known, yet unsolved problems (problems like the word problem of group theory or Hilbert‘s tenth prheartburn 发表于 2025-3-25 13:21:36
hole not of the kind that we would be inclined to believe relatively quickly (as in the case of Turing-computability) that the precise replacement obtained on such a basis comprehends . possible computable functions. The fact that for every one of these concepts we can prove rigorously the equivalen阻塞 发表于 2025-3-25 18:37:38
al problems which cannot be dealt with by the methods of calculating mathematics. In view of the important role which mathematics plays today in our conception of the world this fact is of great philosophical interest. Post speaks of a natural law about the "limitations of the mathematicizing power免费 发表于 2025-3-25 23:12:00
hole not of the kind that we would be inclined to believe relatively quickly (as in the case of Turing-computability) that the precise replacement obtained on such a basis comprehends . possible computable functions. The fact that for every one of these concepts we can prove rigorously the equivalen谆谆教诲 发表于 2025-3-26 02:37:37
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Introduction,, the transport of energetic electrons through solids, electron capture and loss by the projectile during its passage, etc. For over a hundred years many workers have studied this phenomenon not only out of pure physical interest but also for practical purposes, for example various applications to s符合国情 发表于 2025-3-26 12:07:19
Terminology and Table of Symbols,ectroscopy and ion backscattering spectroscopy. Rather, they are used in a modified or extended manner to describe specific topics. The following notes and the table will be useful to avoid any confusion that may arise from terminology, especially for those who are already familiar with either elect解冻 发表于 2025-3-26 13:50:52
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Ion Channeling and High-Energy Shadowing, the ion—atom collisions in the crystal. In this chapter the concept of the ion-beam shadowing effect, which is familiar for keV-energy ions, is extended to MeV or higher-energy ions and is consistently linked to ion channeling. To do this, we discuss ion—atom elastic scattering over a wide energy r