Mathematical Key: New Combinations in Respect to the Binomial Theorem and Logarithms; and a New Discovery of One General Root Theorem for the Solution of Equations of All Degrees ... |
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Mathematical Key; New Combinations in Respect to the Binomial Theorem and ... Joseph B. Mott No preview available - 2019 |
Mathematical Key; New Combinations in Respect to the Binomial Theorem and ... Joseph B. Mott No preview available - 2017 |
Common terms and phrases
1+nx 2n 3n a³ 2n a² a¹ a5 a³ n 2n Aa² algebra ba² Ba³ become binomial theorem bx² Ca¹ ca³ coefficient common logarithm compound interest converging series corresponding theorem cubic CUBIC EQUATIONS cx³ decimal degree denoted developing dividing both members dx¹ dx² equal equation 100 equation G equation X³ examples factors find by trial find one value find the value formula fraction give given equation Given the equation Hence least root Let us resume Let x=1+y log a log log qrs log w+log d-log log(1+r loga logarithm of 1+a Lr)y MATH napierian logarithm nearer value nearly obtain quadratic quadratic equation quadratic formula root theorem rule of approximation sign changed solution of equations square root system of logarithms take the equation theorem K three roots value of x x+x² y+3y²
Popular passages
Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 3 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Page 2 - The logarithm of the product of any number of factors is equal to the sum of the logarithms of the factors.
Page 30 - The coefficient of the fourth term, with its sign changed, is equal to the sum of all the products that can be formed by taking the roots three at a time.
Page 30 - Ci dl is a determinant of the fourth order, and it is equal to the sum of all the products that can be formed by...
Page 2 - M=a% and we find du dx= — ; - — . u log.' a If a be the base of a system of logarithms, then x is the logarithm of u in that system, and j — ; — , Algebra, Art.