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No matter what dual topology is placed on ′ (), [note 13] a sequence of distributions converges in this topology if and only if it converges pointwise (although this need not be true of a net). No matter which topology is chosen, D ′ ( U ) {\displaystyle {\mathcal {D}}^{\prime }(U)} will be a non- metrizable , locally convex topological ...
NCSTC organises annual programmes such as National Science Day and National Mathematics Day, the National Children's Science Congress, National Teacher's Science Congress, and Science Express. [20] It specifically dedicated the National Science Day on 28 February 2014 to the theme "Fostering Scientific Temper" to spread Nehru's vision. [21]
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 ...
Any irreducible tempered representation is a basic representation, and conversely any basic representation is the sum of a finite number of irreducible tempered representations. More precisely, it is a direct sum of 2 r irreducible tempered representations indexed by the characters of an elementary abelian group R of order 2 r (called the R ...
In 1966, five years after the opening of the Mathematica Exhibit, IBM published a 2-by-12-foot (0.61 m × 3.66 m) timeline poster, titled Men of Modern Mathematics. It was based on the items displayed on the exhibit's History Wall, and free copies were distributed to schools.
A word wall is a literacy tool composed of an organized collection of vocabulary words that are displayed in large visible letters on a wall, bulletin board, or other display surface in a classroom. The word wall is designed to be an interactive tool for students or others to use, and contains an array of words that can be used during writing ...
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
The preceding kinds of definitions, which had prevailed since Aristotle's time, [4] were abandoned in the 19th century as new branches of mathematics were developed, which bore no obvious relation to measurement or the physical world, such as group theory, projective geometry, [3] and non-Euclidean geometry.