Search results
Results from the WOW.Com Content Network
The following program in Python determines whether an integer number is a Munchausen Number / Perfect Digit to Digit Invariant or not, following the convention =. num = int ( input ( "Enter number:" )) temp = num s = 0.0 while num > 0 : digit = num % 10 num //= 10 s += pow ( digit , digit ) if s == temp : print ( "Munchausen Number" ) else ...
Laplace's expansion by minors for computing the determinant along a row, column or diagonal extends to the permanent by ignoring all signs. [9]For every , = =,,,where , is the entry of the ith row and the jth column of B, and , is the permanent of the submatrix obtained by removing the ith row and the jth column of B.
The additive persistence of a number is smaller than or equal to the number itself, with equality only when the number is zero. For base b {\displaystyle b} and natural numbers k {\displaystyle k} and n > 9 {\displaystyle n>9} the numbers n {\displaystyle n} and n ⋅ b k {\displaystyle n\cdot b^{k}} have the same additive persistence.
A "Basic Status Code" SMTP reply consists of a three digit number (transmitted as three numeric characters) followed by some text. The number is for use by automata (e.g., email clients) to determine what state to enter next; the text ("Text Part") is for the human user. The first digit denotes whether the response is good, bad, or incomplete:
There are a finite number of natural numbers less than +, so the number is guaranteed to reach a periodic point or a fixed point less than +, making it a preperiodic point. Numbers in base b > p {\displaystyle b>p} lead to fixed or periodic points of numbers n ≤ ( p − 2 ) p + p ( b − 1 ) p {\displaystyle n\leq (p-2)^{p}+p(b-1)^{p}} .
Analogously to Pascal's triangle, these numbers may be calculated using the recurrence relation [2] = + (). As base cases, p 1 ( 1 ) = 1 {\displaystyle p_{1}(1)=1} , and any value on the right hand side of the recurrence that would be outside the triangle can be taken as zero.
In some systems, while the base is a positive integer, negative digits are allowed. Non-adjacent form is a particular system where the base is b = 2.In the balanced ternary system, the base is b = 3, and the numerals have the values −1, 0 and +1 (rather than 0, 1 and 2 as in the standard ternary system, or 1, 2 and 3 as in the bijective ternary system).
In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of heaps in the game Nim. The nimbers are the ordinal numbers endowed with nimber addition and nimber multiplication , which are distinct from ordinal addition and ordinal multiplication .