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a₁ algebraic amount applications approximately b₁ becomes called changed coefficients column common complex compound Consequently constant Construct contains convergent corresponding curve definition denominator denote determinant difference distance divided division easily elements equal equation example EXERCISES exponents expressed factor feet Find formula fraction function fundamental geometric give given graph greater identity imaginary important increase inequality integral interest known less limit logarithm MATHEMATICS means method multiplied negative obtained polynomial positive possible present probability problems Prove quadratic equation radical rational reduced represented result roots rule satisfy sequence shows sides solution Solve square Suppose symbol takes theorem tion true unit unknowns variable write written x-axis zero
Page 39 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 252 - ... 7251 7093 7177 7259 7101 7185 7267 7110 7193 7275 7118 7202 7284 7126 7210 7292 7135 7218 7300 7143 7226 7308 7152 7235 7316 123 123 122 345 345 345 678 677 667...
Page 38 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 211 - We will now derive a formula for the number of permutations of n things, taken all at a time, when some of them are alike.
Page 38 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 40 - The Integral Part of a logarithm is called the Characteristic, and the decimal part the Mantissa.
Page 93 - ... in which the number of equations is equal to the number of unknowns? The assumption lying behind these researches is that if the relations and conditions can in fact be so expressed, Marx's " method of transforming values into prices " is itself transformed from an invalid to a valid one.
Page 106 - Ans. 3 and 7 8. The difference of two numbers is 2, and the difference of their cubes is 98; required the numbers. Ans. 5 and 3 9.
Page 94 - A merchant has tea worth 30 cents a pound and some other worth 50 cents a pound. How many pounds of each must he take to mix 60 pounds worth $ .46 a pound ? 109.