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The oldest known multiplication tables were used by the Babylonians about 4000 years ago. [2] However, they used a base of 60. [ 2 ] The oldest known tables using a base of 10 are the Chinese decimal multiplication table on bamboo strips dating to about 305 BC, during China's Warring States period.
How to Solve It suggests the following steps when solving a mathematical problem: . First, you have to understand the problem. [2]After understanding, make a plan. [3]Carry out the plan.
For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 + 2x + 1. One of the important properties of squaring, for numbers as well as in many other mathematical systems, is that (for all numbers x ), the square of x is the same as the square of its additive inverse − x .
The first tables of trigonometric functions known to be made were by Hipparchus (c.190 – c.120 BCE) and Menelaus (c.70–140 CE), but both have been lost. Along with the surviving table of Ptolemy (c. 90 – c.168 CE), they were all tables of chords and not of half-chords, that is, the sine function. [1]
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
Twice (two times) as many as one. doubled. 100% Three 300% Two times more than one, twice more than one, or 200% more than one, because = +. Three times as many as one. tripled. 200% Four 400% Three times more than one, or 300% more than one, because = +. Four times as many as one. quadrupled. 300% Five 500%
A Fixture Unit is not a flow rate unit but a design factor. A fixture unit is equal to 1 cubic foot (0.028 m 3) of water drained in a 1 + 1 ⁄ 4 inches (32 mm) diameter pipe over one minute. [2] One cubic foot of water is roughly 7.48 US gallons (28.3 L; 6.23 imp gal). A Fixture Unit is used in plumbing design for both water supply and waste ...
In stellar astrophysics, the Schönberg–Chandrasekhar limit is the maximum mass of a non-fusing, isothermal core that can support an enclosing envelope. It is expressed as the ratio of the core mass to the total mass of the core and envelope.