It is proved that an ordered field F is complete (that is, order-isomorphic to the field of real numbers) if and only if each bounded monotonic sequence in F converges in F. Also established is the key tool that an ordered field is complete if and only if it is Archimedean and Cauchy...
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In the frequent distribution of the fractions of integers (rational numbers), local maxima which meet the ratios of masses of the elementary particles have been found.Belyakov A. VHEXIS (Arizona)Progress in PhysicsBelyakov A. V. Is the field of numbers a real physical field? On the frequent...
Mathematics.a number system that has the same properties relative to the operations of addition, subtraction, multiplication, and division as the number system of allreal numbers;a commutative division ring.:F Psychology.the total complex of interdependent factors within which a psychological event occu...
Just over a decade into the 21st century, women's progress can be celebrated across a range of fields. 出自-2013年12月阅读原文 My colleagues and I are studying something called augmented reality (a field of computer research dealing with the combination of real-world and virtual reality)," ...
We study the arithmetic of a family of non-hyperelliptic curves of genus 3 over the field of rational numbers. These curves are the nearby fibers of the se... JA Thorne - 《Forum of Mathematics Pi》 被引量: 13发表: 2015年 Number-theoretic properties of hyperelliptic fields and the torsi...
USE_IOEnable the use of theiomodule. USE_CONFEnable compilation and usage of theconfmodule. RequiresUSE_IOto be true. USE_VTKEnable compiling with the VTK library to use real time visualization. Installing Provided Solvers and Model Definitions ...
Using our method, a single WWS can obtain large numbers of cross-correlation results for different δθ values. These diverse results can then be cross-referenced against each other, enhancing the performance of turbulence profiling. We selected 300 frames of our experimental measurements with each ...
While this book was being written, I received two credit cards from different institutions which had lost or allowed social security and account numbers to get outside of their enterprise. In one case, the bank issued 2 million credit cards. This is not inexpensive. The risk and cost due ...
Livestock numbers:After over ten years of expansion, growth has leveled out. In 2015, there were almost 15 million dairy cattle in China, putting the nation behind India, the EU, and Brazil in numbers. The industry’s CAGR since 2012 has been 0.5 percent. ...