## On Some Problems in the Calculus of Finite Differences |

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### Other editions - View all

On Some Problems in the Calculus of Finite Differences (1876) William Rae MacDonald No preview available - 2009 |

On Some Problems in the Calculus of Finite Differences William Rae MacDonald No preview available - 2016 |

On Some Problems in the Calculus of Finite Differences William Rae MacDonald No preview available - 2015 |

### Common terms and phrases

_n(n 1st order 2nd order 3rd order 4th order A'MX A3 being constant A3MX added its difference analytical expression Binomial Theorem CALCULUS OF FINITE coefficients of ux column headed constant quantity continuous subtraction denoted by v^y denotes the sum Diagram difference of ux differences applicable differences corresponding differences is constant differences is formed equidifferent terms equidistant terms expansion FIGURATE NUMBERS find the differences Find the expression Find the series find the values FINITE DIFFERENCES governs the formation HARVARD COLLEGE highest power infinite number Institute of Actuaries integral or fractional MI(O natural numbers nth term number of terms obtain from formula order of differences order of figurate rational integral function replacing the symbol series Mo(6 similar manner substituting the value succeeding order successive Orders symbol of differences symbol of quantity symbols of operation unity each term ux+2 ux+n ux+n-i variable