The Youth's Assistant in Theoretic and Practical Arithmetic, : Designed for the Use of Schools in the United States |
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Page iv
... quotient rings , and also added enough material to get the following theorem : If R is a prime ring , and if e is an idempotent in the ( Johnson ) maximal quotient ring S of R such that K = eSeRO , then eSe is the maximal quotient ring ...
... quotient rings , and also added enough material to get the following theorem : If R is a prime ring , and if e is an idempotent in the ( Johnson ) maximal quotient ring S of R such that K = eSeRO , then eSe is the maximal quotient ring ...
Page v
... quotient to be CohenMacaulay or Gorenstein over a field k, and a simple characterizations of those G for which the quotient is a pseudomanifold, and when it is orientable as a pseudomanifold. We then look at quotients for particular ...
... quotient to be CohenMacaulay or Gorenstein over a field k, and a simple characterizations of those G for which the quotient is a pseudomanifold, and when it is orientable as a pseudomanifold. We then look at quotients for particular ...
Page 118
... quotient 87. Apparent non-sugar 14.25 — 12.40 = 1.85 Actual non-sugar 1.S5 X 0.9 = 1.665 The impurity quotient will be — — - 100 13-43. 12.40 that is to say, that for 100 sugar there exists 13.43 impurities (non-sugar). Analysis of ...
... quotient 87. Apparent non-sugar 14.25 — 12.40 = 1.85 Actual non-sugar 1.S5 X 0.9 = 1.665 The impurity quotient will be — — - 100 13-43. 12.40 that is to say, that for 100 sugar there exists 13.43 impurities (non-sugar). Analysis of ...
Page 15
... quotient is found by dividing the subject age by the chronological age ( decimal point is omitted in expressing the quo- tient . ) When the subject quotient of a pupil in a given subject is below 100 , it is interpreted to mean that he ...
... quotient is found by dividing the subject age by the chronological age ( decimal point is omitted in expressing the quo- tient . ) When the subject quotient of a pupil in a given subject is below 100 , it is interpreted to mean that he ...
Page 12
... quotient values outside the average highs and lows used in this test . If extreme values of form quotient are used , two trees over 45 feet tall with the same diameter and height could differ in cubic volume by as much as 18 percent ...
... quotient values outside the average highs and lows used in this test . If extreme values of form quotient are used , two trees over 45 feet tall with the same diameter and height could differ in cubic volume by as much as 18 percent ...
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Common terms and phrases
acres amount angle apples Arithmetic beans remain boys bushels called Cash in full ciphers cloth cost common denominator common divisor compound compound interest contained cube root cubic decimal denoted diameter divide dividend division dollars dolls DRY MEASURE equal feet figure five beans foot four beans gain gallon given number greatest common divisor half Hence hundred hundredths inches interest lars least common multiple lemons length measure meration method miles minuend mixed number months multiplicand multiply nine payment pence piece pound principal proper fraction proportion quantity quarter quarts QUESTIONS FOR PRACTICE quotient ratio Reduce rods RULE RULE.-Multiply shillings side Simon Pond six beans sixth solid square root subtract tens tenths third three beans TROY WEIGHT units vulgar fraction weeks weight whole number worth write yards of cloth
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Page 128 - In any proportion, the product of the means is equal to the product of the extremes.
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Page 169 - Bring down the first figure of the next period to the remainder for a new dividend, to which find a new divisor as before, and in like manner proceed till the whole be finished.
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Page 164 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend, excepting the right hand figure, and place the result...
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