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Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3.
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...
Exercise books manufactured in the Czech Republic and Slovakia are labeled by three-digit codes that encode their size, number of pages, and ruling. The first numeral stands for the size: 4 for A4 paper; 5 for A5 paper; 6 for A6 paper; The second numeral stands for the number of pages: 1 for 10 pages; 2 for 20 pages; 4 for 40 pages; 6 for 60 ...
A ramification of the difference of consecutive squares, Galileo's law of odd numbers states that the distance covered by an object falling without resistance in uniform gravity in successive equal time intervals is linearly proportional to the odd numbers. That is, if a body falling from rest covers a certain distance during an arbitrary time ...
In Indian mathematics, a Vedic square is a variation on a typical 9 × 9 multiplication table where the entry in each cell is the digital root of the product of the column and row headings i.e. the remainder when the product of the row and column headings is divided by 9 (with remainder 0 represented by 9).
The sum of all numbers on each circle (not including 9) = 2 × 69; There exist 8 semicircles, where the sum of numbers = magic number 69; there are 16 line segments (semicircles and radii) with magic number 69, more than a 6 order magic square with only 12 magic numbers.
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[4] There are infinitely many cold numbers. More strongly, the number of cold numbers up to some threshold must be at least proportional to the square root of , for otherwise there would not be enough of them to provide winning moves from all the hot numbers. [3] Cold numbers tend to end in 0, 2, 4, 5, 7, or 9.
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