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Blue mirror lines are drawn through vertices and edges. Gyration orders are given in the center. The regular heptadecagon has Dih 17 symmetry, order 34. Since 17 is a prime number there is one subgroup with dihedral symmetry: Dih 1, and 2 cyclic group symmetries: Z 17, and Z 1. These 4 symmetries can be seen in 4 distinct symmetries on the ...
Here, the in-degree is the number of incoming edges, and the out-degree is the number of outgoing edges. [7] A version of the degree sum formula also applies to finite families of sets or, equivalently, multigraphs: the sum of the degrees of the elements (where the degree equals the number of sets containing it) always equals the sum of the ...
17 is a Leyland number [3] and Leyland prime, [4] using 2 & 3 (2 3 + 3 2) and using 4 and 5, [5] [6] using 3 & 4 (3 4 - 4 3). 17 is a Fermat prime. 17 is one of six lucky numbers of Euler. [7] Since seventeen is a Fermat prime, regular heptadecagons can be constructed with a compass and unmarked ruler.
For polynomials in two or more variables, the degree of a term is the sum of the exponents of the variables in the term; the degree (sometimes called the total degree) of the polynomial is again the maximum of the degrees of all terms in the polynomial. For example, the polynomial x 2 y 2 + 3x 3 + 4y has degree 4, the same degree as the term x ...
Clock angle problems relate two different measurements: angles and time. The angle is typically measured in degrees from the mark of number 12 clockwise. The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.
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The natural numbers 0 and 1 are strobogrammatic in every base, with a sufficiently symmetric font, and they are the only natural numbers with this feature, since every natural number larger than one is represented by 10 in its own base. In duodecimal, the strobogrammatic numbers are (using inverted two and three for ten and eleven, respectively)
In other words, the n th digit of this number is 1 only if n is one of 1! = 1, 2! = 2, 3! = 6, 4! = 24, etc. Liouville showed that this number belongs to a class of transcendental numbers that can be more closely approximated by rational numbers than can any irrational algebraic number, and this class of numbers is called the Liouville numbers ...