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A geometric series is a series in which the ratio of successive adjacent terms is constant. Learn how to write, evaluate and prove the sum of a geometric series using the formula S = a / (1 - r), where a is the coefficient and r is the common ratio.
The two quintuple tālas in these repertories are Jhaptāl— 2+3+(2)+3 —and Sūltāl— 2+(2)+2+2+(2). Both are measured by ten mātrā units, but Jhaptāl is divided into four unequal vibhāg (the third being a khālī beat) in two halves of five mātrā each, and Sūltāl is divided into five equal vibhāg , the second and fifth of which ...
A continued fraction is an expression obtained by representing a number as the sum of its integer part and the reciprocal of another number, then repeating the process. Learn how to find the continued fraction representation of rational and irrational numbers, and see some examples of famous numbers and their continued fractions.
Simpson's rule is a method for approximating definite integrals based on quadratic interpolation. Learn about Simpson's 1/3 rule, Simpson's 3/8 rule, composite Simpson's rule, and their derivations, errors, and applications.
Number Forms is a Unicode block that contains characters that have specific meaning as numbers, but are constructed from other characters. It includes vulgar fractions, Roman numerals, and other symbols for numbers.
The Three-fifths Compromise was an agreement to count three-fifths of each slave state's population for representation and taxation in the U.S. Constitution. It was a compromise between slave and free states over the issue of slavery and representation, but it was later repealed by the Fourteenth Amendment.
A fraction is a number that represents a part of a whole or a ratio of equal parts. Fractions are not integers, but they can be converted to decimals or percentages. Learn more about the types, properties, and uses of fractions in mathematics and education.
Starting state of the standard puzzle; a jug filled with 8 units of water, and two empty jugs of sizes 5 and 3. The solver must pour the water so that the first and second jugs both contain 4 units, and the third is empty.