A FEW WORDS ABOUT TELESCOPING SUMS Say that you want to
... (n−1)·n · · · (n+k−1)/(k+1)−(n−2)·(n−1) · · · (n+k−2)/(k+1) = (n−1)·n · · · (n+k−2) n · (n + 1) · · · (n + k)/(k + 1) − (n − 1) · (n − 2) · · · (n + k − 1)/(k + 1) = n · (n + 1) · · · (n + k − 1) The sum of the entries on the left hand side of these equalities is n·(n+1) · · · (n+k)/(k +1) and the s ...
... (n−1)·n · · · (n+k−1)/(k+1)−(n−2)·(n−1) · · · (n+k−2)/(k+1) = (n−1)·n · · · (n+k−2) n · (n + 1) · · · (n + k)/(k + 1) − (n − 1) · (n − 2) · · · (n + k − 1)/(k + 1) = n · (n + 1) · · · (n + k − 1) The sum of the entries on the left hand side of these equalities is n·(n+1) · · · (n+k)/(k +1) and the s ...
Mathematics - Study Information
... b. to promote unity amongst them and the observance of Islamic moral standards; Provide basic necessities of life, such as food, clothing, housing, education and medical relief for all such citizens irrespective of sex, caste, creed or race as are permanently or temporarily unable to earn their live ...
... b. to promote unity amongst them and the observance of Islamic moral standards; Provide basic necessities of life, such as food, clothing, housing, education and medical relief for all such citizens irrespective of sex, caste, creed or race as are permanently or temporarily unable to earn their live ...
numPart
... Given a bag of numbers, can you partition this into 2 bags such that the sum of the integers in each bag is equal? ...
... Given a bag of numbers, can you partition this into 2 bags such that the sum of the integers in each bag is equal? ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.