Computational Discovery in Pure Mathematics

2007 ◽  
pp. 175-201 ◽  
Author(s):  
Simon Colton
Keyword(s):  
Pure Mathematics ◽  
Computational Discovery

Problems on the Gravitational Wave and the Repulsive Gravitation

2016 ◽  
pp. 4422-4429
Author(s):  
C. Y. Lo
Keyword(s):  
Black Holes ◽  
Gravitational Wave ◽  
Einstein Equation ◽  
Wave Solution ◽  
Dynamic Solution ◽  
Pure Mathematics ◽  
Non Linear

It is exciting that the gravitational wave has been confirmed, according to the announcement of LIGO. This would be the time to fix the Einstein equation for the gravitational wave and the nonexistence of the dynamic solution. As a first step, theorists should improve their pure mathematics on non-linear mathematics and related physical considerations beyond Einstein. Then, it is time to rectify the Einstein equation that has no gravitational wave solution which Einstein has recognized, and no dynamic solution that Einstein failed to see. A problem is that physicists in LIGO did not know their shortcomings. Also, in view of the far distance of the sources, it is very questionable that the physicists can determine they are from black holes. Moreover, since the repulsive gravitation can also generate a gravitational wave, the problem of gravitational wave is actually far more complicated than we have known. A useful feature of the gravitational wave based on repulsive gravitation is that it can be easily generated on earth. Thus this can be a new tool for communication because it can penetrate any medium.

A Priority and Application: Philosophy of Mathematics in the Modern Period

2009 ◽  
Author(s):  
Lisa Shabel
Keyword(s):  
Early Modern ◽  
Mathematical Reasoning ◽  
Philosophy Of Mathematics ◽  
Mathematical Practice ◽  
Natural World ◽  
Pure Mathematics ◽  
Philosophical Account ◽  
Mathematical Ontology ◽  
To Come ◽  
Modern Mathematics

The state of modern mathematical practice called for a modern philosopher of mathematics to answer two interrelated questions. Given that mathematical ontology includes quantifiable empirical objects, how to explain the paradigmatic features of pure mathematical reasoning: universality, certainty, necessity. And, without giving up the special status of pure mathematical reasoning, how to explain the ability of pure mathematics to come into contact with and describe the empirically accessible natural world. The first question comes to a demand for apriority: a viable philosophical account of early modern mathematics must explain the apriority of mathematical reasoning. The second question comes to a demand for applicability: a viable philosophical account of early modern mathematics must explain the applicability of mathematical reasoning. This article begins by providing a brief account of a relevant aspect of early modern mathematical practice, in order to situate philosophers in their historical and mathematical context.

Computational Discovery of New Zeolite-Like Materials

2009 ◽  
Vol 113 (51) ◽  
pp. 21353-21360 ◽  
Author(s):  
Michael W. Deem ◽  
Ramdas Pophale ◽  
Phillip A. Cheeseman ◽  
David J. Earl
Keyword(s):  
Computational Discovery

Higher Certificate and Intermediate Tests in Pure Mathematics

1949 ◽  
Vol 33 (303) ◽  
pp. 57
Author(s):  
S. Inman ◽  
R. J. Fulford
Keyword(s):  
Pure Mathematics

How well does A-level Mathematics prepare students for the mathematical demands of chemistry degrees?

2016 ◽  
Vol 17 (4) ◽  
pp. 1190-1202 ◽  
Author(s):  
Ellie Darlington ◽  
Jessica Bowyer
Keyword(s):  
First Year ◽  
Chemistry Students ◽  
Undergraduate Chemistry ◽  
Undergraduate Study ◽  
Pure Mathematics ◽  
Entry Requirements ◽  
Good Preparation

332 undergraduate chemistry students were surveyed in order to establish whether they had found A-level Mathematics and/or Further Mathematics to be good preparation for their degree. Perceptions of both subjects were found to be positive, with more than 80% of participants describing Mathematics or Further Mathematics as good preparation. In particular, pure mathematics and mechanics topics were found to be the most useful. Additionally, over 90% of participants who had studied at least AS-level Further Mathematics reported that there was an overlap between the material they encountered at A-level and in the first year of undergraduate study. This indicates that prospective undergraduate chemists would significantly benefit from studying A-level Mathematics, and in particular may benefit from specialising in the study of mechanics, something which will only be possible through the study of Further Mathematics after qualifications are reformed in September 2017. Universities should consequently consider revising their entry requirements or recommendations to applicants.

Intermediate Pure Mathematics

1963 ◽  
Vol 47 (360) ◽  
pp. 163
Author(s):  
J. W. Hesselgreaves ◽  
H. A. Hayden ◽  
C. G. Paradine ◽  
R. N. Giles
Keyword(s):  
Pure Mathematics
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