Elements of Algebra : Including Sturms' Theorem
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In our eReader you can find the full English version of the book. Read Elements of Algebra : Including Sturms' Theorem Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Algebra : Including Sturms' Theorem
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To quickly assess the difficulty of the text, read a short excerpt:
_3 * /Y 5 g . — We have, a * = \/ -—, and a^ =: -y/ a^ ; hence, and consequently, 3 5 3,5 9 ,10 1 a~^ X o6 = c'-f^e _ a-rJ+t2 _ aO.
In general, multiplying a " by a?; we have a"Xa? = a" 5 — a»?
Therefore, in order to multiply two monomials affected with any exponents whatever, add together the exponents of the same letter, as in Art. 41, for quantities affected Avith entire exponents.
CHAP. VlIIi.1 THEORY OF EXPONENTS. 237 From this rule, we shall find 5. _1 2. 3 ]_1 1 _2 1. a*b 2c-i X a^^c^ = ...a* b^c ^ 2. 3a-2p X 2a~^^,2c2 _ Qa~ ^ b^c^.
_1 1 _1 Division of Quantities affected with any Exponents.
235. To divide one monomial by another when both are affected with any exponent whatever, divide the co-efficient of the divi- dend by that of the divisor, for a new co-efficient : subtract the exponent of each letter- in the divisor from the exponent of the same letter in the dividend, and then annex each letter with its new ex- ponent.
For, the exponent of each letter in the quotient must be such, that, added to the exponent of the same letter in the divisor, the sum shall be equal to the exponent of the letter in the dividend ; hence, the exponent of any letter in the quotient, is equal to the difference between the exponent of that letter in the dividend and in the divisor.
What to read after Elements of Algebra : Including Sturms' Theorem?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
_3 * /Y 5 g . — We have, a * = \/ -—, and a^ =: -y/ a^ ; hence, and consequently, 3 5 3,5 9 ,10 1 a~^ X o6 = c'-f^e _ a-rJ+t2 _ aO.
In general, multiplying a " by a?; we have a"Xa? = a" 5 — a»?
Therefore, in order to multiply two monomials affected with any exponents whatever, add together the exponents of the same letter, as in Art. 41, for quantities affected Avith entire exponents.
CHAP. VlIIi.1 THEORY OF EXPONENTS. 237 From this rule, we shall find 5. _1 2. 3 ]_1 1 _2 1. a*b 2c-i X a^^c^ = ...a* b^c ^ 2. 3a-2p X 2a~^^,2c2 _ Qa~ ^ b^c^.
_1 1 _1 Division of Quantities affected with any Exponents.
235. To divide one monomial by another when both are affected with any exponent whatever, divide the co-efficient of the divi- dend by that of the divisor, for a new co-efficient : subtract the exponent of each letter- in the divisor from the exponent of the same letter in the dividend, and then annex each letter with its new ex- ponent.
For, the exponent of each letter in the quotient must be such, that, added to the exponent of the same letter in the divisor, the sum shall be equal to the exponent of the letter in the dividend ; hence, the exponent of any letter in the quotient, is equal to the difference between the exponent of that letter in the dividend and in the divisor.
What to read after Elements of Algebra : Including Sturms' Theorem?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
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