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A person engaging in pseudomathematics is called a pseudomathematician or a pseudomath. [1] ... Toggle the table of contents. Pseudomathematics. 10 languages ...
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful. The Liouville function λ(n) is 1 if Ω(n) is even, and is -1 if Ω(n) is odd. The Möbius function μ(n) is 0 if n is not square-free. Otherwise μ(n) is 1 if Ω(n) is even, and is −1 if Ω(n) is odd.
The entry 4+2i = −i(1+i) 2 (2+i), for example, could also be written as 4+2i= (1+i) 2 (1−2i). The entries in the table resolve this ambiguity by the following convention: the factors are primes in the right complex half plane with absolute value of the real part larger than or equal to the absolute value of the imaginary part.
An example of a spherical cap in blue (and another in red) In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane.It is also a spherical segment of one base, i.e., bounded by a single plane.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
743 is the 132nd prime number and a Sophie Germain prime, because 2 × 743 + 1 = 1487 is also prime. [1] 743 is an emirp, because 347 (the reversal of its digits) is prime. There are exactly 743 independent sets in a four-dimensional (16 vertex) hypercube graph, [2] and exactly 743 connected cubic graphs with 16 vertices and girth four. [3]
44 has an aliquot sum of 40, within an aliquot sequence of three composite numbers (44, 40, 50, 43, 1, 0) rooted in the prime 43-aliquot tree. Since the greatest prime factor of 44 2 + 1 = 1937 is 149 and thus more than 44 twice, 44 is a Størmer number. [3] Given Euler's totient function, φ(44) = 20 and φ(69) = 44.