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Some areas of mathematics, such as statistics and game theory, are developed in close correlation with their applications and are often grouped under applied mathematics. Other areas are developed independently from any application (and are therefore called pure mathematics) but often later find practical applications. [2] [3]
It is first text completely written on mathematics with questions asked in it being completely different from one asked in previous texts composed in Indian subcontinent. In the 9th century, during Amoghavarsha 's rule [ 1 ] Mahaviracharya wrote Ganitsara sangraha which is the first textbook on arithmetic in present day. [ 2 ]
[40] [41] [42] Their business model [43] was to offer the open textbook free online, [44] [45] and then sell ancillary products that students are likely to buy if prices are reasonable – print copies, study guides, ePub, .Mobi , PDF download, etc. Flat World Knowledge compensates its authors with royalties on these sales. [46]
A quadratic equation is one which includes a term with an exponent of 2, for example, , [40] and no term with higher exponent. The name derives from the Latin quadrus , meaning square. [ 41 ] In general, a quadratic equation can be expressed in the form a x 2 + b x + c = 0 {\displaystyle ax^{2}+bx+c=0} , [ 42 ] where a is not zero (if it were ...
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
Sometimes this remainder is added to the quotient as a fractional part, so 10 / 3 is equal to 3 + 1 / 3 or 3.33..., but in the context of integer division, where numbers have no fractional part, the remainder is kept separately (or exceptionally, discarded or rounded). [5] When the remainder is kept as a fraction, it leads to a rational ...
Four bags with three marbles per bag gives twelve marbles (4 × 3 = 12). Multiplication can also be thought of as scaling. Here, 2 is being multiplied by 3 using scaling, giving 6 as a result. Animation for the multiplication 2 × 3 = 6 4 × 5 = 20. The large rectangle is made up of 20 squares, each 1 unit by 1 unit.
Science Olympiad Foundation (SOF) is an educational foundation established in 1998, based in New Delhi, India which promotes science, mathematics, general knowledge, introductory computer education and English language skills among school children in India and many other countries through various Olympiads. However, they are not the official ...