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Mathematically, the ability to break up a multiplication in this way is known as the distributive law, which can be expressed in algebra as the property that a(b+c) = ab + ac. The grid method uses the distributive property twice to expand the product, once for the horizontal factor, and once for the vertical factor.
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The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10 , the digital root of a nonzero triangular number is always 1, 3, 6, or 9.
Reading is the process of taking in the sense or meaning of symbols, often specifically those of a written language, by means of sight or touch. [1] [2] [3] [4]For educators and researchers, reading is a multifaceted process involving such areas as word recognition, orthography (spelling), alphabetics, phonics, phonemic awareness, vocabulary, comprehension, fluency, and motivation.
Indicating the number of stressed syllables in certain lines: AA 4 B 2 CC 4 or AA 4 B 2 CC 4; Some publications use lowercase or have punctuation to separate lines or stanzas, e.g. abba cdcd or a-b-b-a,c-d-c-d. (These variations are not used elsewhere in this article, for clarity.) Notable rhyme schemes and forms that use specific rhyme schemes:
Thus there are two degrees of freedom for group 1, three for groups 2, 3, and 4, and four for groups 5, 6, and 7. For two of the seven frieze groups (groups 1 and 4) the symmetry groups are singly generated , for four (groups 2, 3, 5, and 6) they have a pair of generators, and for group 7 the symmetry groups require three generators.
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A continued fraction is an expression of the form = + + + + + where the a n (n > 0) are the partial numerators, the b n are the partial denominators, and the leading term b 0 is called the integer part of the continued fraction.
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