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Apr 6, 2016 · In mathematics, if we say a specific result holds in general, we mean there are no exceptions to the result. In every-day non mathematical discussions, if someone makes a claim and says it is true in general, they mean it is true most of the time but with possibly a few exceptional cases.
Nov 26, 2021 · Math and science have plenty in common, such as the pursuit of objective truth, the use of logic, the forbidding of contradiction, and posing questions followed by the search for supporting evidence. And yet math and science are inherently different in very key ways.
Conditional statements are also called implications. An implication is the compound statement of the form “if p, then q.”. It is denoted p ⇒ q, which is read as “ p implies q.”. It is false only when p is true and q is false, and is true in all other situations. p.
A related complication is that the finiteness of computers limits the range of scales that can be represented in a given calculation; only mathematical analysis can overcome this built-in restriction.
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- A Chorin, Margaret Wright
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The basic observation structuring this survey is that mathematicians often set finding the ‘right’/‘proper’/‘correct’/‘natural’ definition as a research objective, and success—finding ‘the proper’ definition—can be counted as a significant advance in knowledge.
The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper.
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Oct 30, 2019 · Students’ level of understanding of selected physics and mathematics topics (gravity and linear equations) were assessed using data from the TIMSS assessments at grades four and eight, and the TIMSS Advanced assessments of students in their final year of secondary school taking advanced coursework in physics and mathematics.
