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Page number in a book. Page numbering is the process of applying a sequence of numbers (or letters, or Roman numerals) to the pages of a book or other document. The number itself, which may appear in various places on the page, can be referred to as a page number or as a folio. [1]
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This is how the printer's key may appear in the first print run of a book. In this common example numbers are removed with subsequent printings, so if "1" is seen then the book is the first printing of that edition. If it is the second printing then the "1" is removed, meaning that the lowest number seen will be "2". [3]
The basic design of how graphics are represented in PDF is very similar to that of PostScript, except for the use of transparency, which was added in PDF 1.4. PDF graphics use a device-independent Cartesian coordinate system to describe the surface of a page. A PDF page description can use a matrix to scale, rotate, or skew graphical
ISO 15930-6:2003: PDF/X-3:2003, revision of PDF/X-3:2002 based on PDF 1.4; ISO 15930-7:2008: PDF/X-4, Colour-managed, CMYK, gray, RGB or spot color data are supported, as are PDF transparency and optional content. A second conformance level named PDF/X-4p may be used when the ICC Profile in the output intent is externally supplied. It is using ...
The permutations that avoid the generalized patterns 12-3, 32-1, 3-21, 1-32, 3-12, 21-3, and 23-1 are also counted by the Bell numbers. [4] The permutations in which every 321 pattern (without restriction on consecutive values) can be extended to a 3241 pattern are also counted by the Bell numbers. [ 5 ]
In recreational mathematics, a vampire number (or true vampire number) is a composite natural number with an even number of digits, that can be factored into two natural numbers each with half as many digits as the original number, where the two factors contain precisely all the digits of the original number, in any order, counting multiplicity.
The only odd practical number is 1, because if is an odd number greater than 2, then 2 cannot be expressed as the sum of distinct divisors of . More strongly, Srinivasan (1948) observes that other than 1 and 2, every practical number is divisible by 4 or 6 (or both).