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Rigor is a cornerstone quality of mathematics, and can play an important role in preventing mathematics from degenerating into fallacies. well-behaved An object is well-behaved (in contrast with being Pathological ) if it satisfies certain prevailing regularity properties, or if it conforms to mathematical intuition (even though intuition can ...
could not have cuppa: cup of daren’t: dare not / dared not daresn’t: dare not dasn’t: dare not didn’t: did not doesn't: does not don’t: do not / does not [4] dunno (informal) do not know / don't know d’ye (informal) do you / did you d’ya (informal) do you / did you e’en (poetic) even e’er (poetic) ever ’em (informal) them ...
The three Rs [1] are three basic skills taught in schools: reading, writing and arithmetic", Reading, wRiting, and ARithmetic [2] or Reckoning. The phrase appears to have been coined at the beginning of the 19th century.
Individuals with dyslexia can be gifted in mathematics while having poor reading skills. They might have difficulty with word processing problems (e.g. descriptive mathematics, engineering or physics problems that rely on written text rather than numbers or formulas).
In cognitive psychology, the missing letter effect refers to the finding that, when people are asked to consciously detect target letters while reading text, they miss more letters in frequent function words (e.g. the letter "h" in "the") than in less frequent, content words. [1] [2] Understanding how, why and where this effect arises becomes ...
A contraction mapping has at most one fixed point. Moreover, the Banach fixed-point theorem states that every contraction mapping on a non-empty complete metric space has a unique fixed point, and that for any x in M the iterated function sequence x , f ( x ), f ( f ( x )), f ( f ( f ( x ))), ... converges to the fixed point.
The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.
Mathematics is a specific domain that is complex (i.e. includes many different processes, such as arithmetic, algebra, word problems, geometry, etc.) and cumulative (i.e. the processes build on each other such that mastery of an advanced skill requires mastery of many basic skills).
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