## The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |

### From inside the book

Results 1-5 of 84

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**equal**parts , and that y , or func- tion of x , is expressed by a converging series and as an entire polynomial of the nth degree , so thet y = α 。 + a1x + α2x2 + αz223 + .... + a1x " . If the function is an entire polynomial of the ... Page 8

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**equal**to a , a1 , a2 , & c . ( 9 ) . We have now to determine the values of x so that the polynomial which expresses the value of y may rise to the 2nth degree and the error of quadrature be zero at the same time . We have y = f ( x ) ... Page 10

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**equal**, the method of differences gives us a valuable check on the numerical work . But it seems to me that this method may be advantageously applied to se- ries of observations . Thus if one wishes to determine the barometric or ... Page 16

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**equal**to tan 0 , we deduce or that is p cos L sin20- cot L sin @ = p cos -p cos L cos ' 0 , — L cot L sin 0 , = sin @psin L. But this is not true , since 0 = p sin L ; therefore the meridians and parallels do not generally intersect at ... Page 19

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**equal**to itself with its sign changed , but this can only be when it is**equal**to zero . 4 ° . If every element in any row ( or column ) be multiplied by the same fac- tor , the Determinant is multiplied by that factor . This appears ...### 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