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Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include:
In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets
35 is a tetrahedral number. The 35 free hexominoes. 35 is the sum of the first five triangular numbers, making it a tetrahedral number. [1]35 is the 10th discrete semiprime [2] and the first with 5 as the lowest non-unitary factor, thus being the first of the form (5.q) where q is a higher prime.
Archimedes' figure with a = 3 / 4 In mathematics, the infinite series 1 / 4 + 1 / 16 + 1 / 64 + 1 / 256 + ⋯ is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. [1]
In terms of valuation, Starbucks is far from cheap, sporting a price-to-earnings (P/E) ratio of 35.3 and a forward P/E of 32.8. Again, these valuation metrics should be taken lightly, since the ...
The first 32 rows of Pascal's triangle read as single binary numbers represent the 32 divisors that belong to this number, which is also the number of sides of all odd-sided constructible polygons with simple tools alone (if the monogon is also included). [10] There are also a total of 32 uniform colorings to the 11 regular and semiregular ...
In mathematics, 1 + 2 + 4 + 8 + ⋯ is the infinite series whose terms are the successive powers of two. As a geometric series , it is characterized by its first term, 1, and its common ratio , 2. As a series of real numbers it diverges to infinity , so the sum of this series is infinity.
24-hour digital clock in Miaoli HSR station. A public 24-hour clock in Curitiba, Brazil, with the hour hand on the outside and the minute hand on the inside.. A time of day is written in the 24-hour notation in the form hh:mm (for example 01:23) or hh:mm:ss (for example, 01:23:45), where hh (00 to 23) is the number of full hours that have passed since midnight, mm (00 to 59) is the number of ...