Sentences with phrase «mathematical ideas exist»
Many powerful mathematical ideas exist but are difficult to access.
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That existing things, including people, can be ordered by means of mathematics (for example, in a census, or in actuarial statistics) is a happy circumstance that does not negate the essential independence of mathematical ideas from every empirical reality.
He states: «Space - perception accompanies our sensations, perhaps all of them, certainly many; but it does not seem to be a necessary quality of things that they should all exist in one space or in any space (IM 182).6 Here he does not only stress the independence of abstract mathematical ideas from any special application to nature, as described above, but extends their independence to the point where these abstract ideas are no longer bound to find application in nature, as perceived by our senses.
But in both cases the idea that such exotic phenomena existed at all came from human brainpower — deciphering the physical meaning of mathematical symbols manipulated with pencil and paper.
BOOK Access 90 activities from the 5 Teacher Resource Books for Grades 7 - 8 Hands - on activities that model concrete representations of abstract mathematical concepts Teacher support that provides in - depth discussions of mathematical content Easy - to - use resources that offer classroom - tested lesson plans targeting big ideas of math INDEX Introduction of manipulatives and their uses by Marilyn Burns Organized by manipulative and strand Comprehensive scope and sequence aligns activities with any existing curriculum INCLUDES Activity Index 5 Super Source Books including — Number Geometry Measurement Patterns / Functions Probability / Statistics
But in 1904 another physicist, the Norwegian Vilhelm Bjerknes, had put forth the idea that his «primitive equations» — a set of differential equations providing for a reasonable mathematical description atmospheric flow — could provide the foundation for numerically - based weather prediction methods that could potentially be much more accurate than existing methods.