The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
From inside the book
Results 1-5 of 60
Page
... Roots , . 10 Problems , - Editorial Remarks , 32 Errata , 32 , 64 , 96 , 164 Extraction of Roots by Logarithms , 172 • On the Sum of the Cubes of any number of Terms of an Arithmetical Series , 15 On the Expression 00 , 31 , 64 , 95 ...
... Roots , . 10 Problems , - Editorial Remarks , 32 Errata , 32 , 64 , 96 , 164 Extraction of Roots by Logarithms , 172 • On the Sum of the Cubes of any number of Terms of an Arithmetical Series , 15 On the Expression 00 , 31 , 64 , 95 ...
Page 9
... roots of this equation will give the values of the abscissas for the Gaussian method . These roots are all real and lie between 0 and 1 , and when there is an odd number the middle one is . The approximate value of the integral is ...
... roots of this equation will give the values of the abscissas for the Gaussian method . These roots are all real and lie between 0 and 1 , and when there is an odd number the middle one is . The approximate value of the integral is ...
Page 10
A Monthly Journal of Pure and Applied Mathematics. Gauss has computed these roots and coefficients for all values of ... root is to be extracted , r an approximate 1 root , == the degree of the root and R = the true root . Then ...
A Monthly Journal of Pure and Applied Mathematics. Gauss has computed these roots and coefficients for all values of ... root is to be extracted , r an approximate 1 root , == the degree of the root and R = the true root . Then ...
Page 11
... roots of any degree , always converges , and rapidly ; and to practical men , who often forget how to calculate a cube , and sometimes a square root , will be of value in the ab- sence of a table of logarithms . Let it be required to ...
... roots of any degree , always converges , and rapidly ; and to practical men , who often forget how to calculate a cube , and sometimes a square root , will be of value in the ab- sence of a table of logarithms . Let it be required to ...
Page 12
... root seems to be 1.99501 . The advantage of this method appears to be , the ready remembrance of the formula ; which for the square root is and for the cube root N ↑ 2r 2 ' N 2 3r2 + so that , at least for the square and cube roots ...
... root seems to be 1.99501 . The advantage of this method appears to be , the ready remembrance of the formula ; which for the square root is and for the cube root N ↑ 2r 2 ' N 2 3r2 + so that , at least for the square and cube roots ...
Other editions - View all
Common terms and phrases
5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero