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Every positive integer can be expressed as the sum of at most 19 fourth powers; every integer larger than 13792 can be expressed as the sum of at most 16 fourth powers (see Waring's problem). Fermat knew that a fourth power cannot be the sum of two other fourth powers (the n = 4 case of Fermat's Last Theorem; see Fermat's right triangle theorem).
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
The Common Core State Standards Initiative, also known as simply Common Core, was an American, multi-state educational initiative begun in 2010 with the goal of increasing consistency across state standards, or what K–12 students throughout the United States should know in English language arts and mathematics at the conclusion of each school grade.
[6] [7] [a] The parentheses can be omitted if the input is a single numerical variable or constant, [2] as in the case of sin x = sin(x) and sin π = sin(π). [a] Traditionally this convention extends to monomials; thus, sin 3x = sin(3x) and even sin 1 / 2 xy = sin(xy/2), but sin x + y = sin(x) + y, because x + y is not a monomial ...
In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.
School systems set rules, and if students break these rules they are subject to discipline. These rules may, for example, define the expected standards of school uniforms, punctuality, social conduct, and work ethic. The term "discipline" is applied to the action that is the consequence of breaking the rules.
A New York Police Department administrative trial judge has recommended that a disciplinary case against the department's highest-ranking uniformed officer be dropped, arguing that the police ...
Its regulations are compiled in title 8 of the New York Codes, Rules and Regulations. The main offices of the department are housed in the New York State Department of Education Building, located at 89 Washington Avenue in Albany, the state capital. [2] Each year New York spends around $32,000 per student, which is 90% more than the average in ...
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