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2. File:Exponentials vs x+1.pdf - Wikipedia

   en.wikipedia.org/wiki/File:Exponentials_vs_x+1.pdf

   The line intersects the two graphs, respectively, for x>1 and x<1. The natural exponential function y=e^x is the unique exponential for which the two graphs intersect only at x=0. Português: Gráfico de y = 2^ x e y = 4^ x , com a reta y = x + 1.

3. Solid Converter PDF - Wikipedia

   en.wikipedia.org/wiki/Solid_Converter_PDF

   Solid Converter PDF is document reconstruction software from Solid Documents which converts PDF files to editable formats. Originally released for the Microsoft Windows operating system, a Mac OS X version was released in 2010. The current versions are Solid Converter PDF 9.0 for Windows and Solid PDF to Word for Mac 2.1.

4. Polynomial expansion - Wikipedia

   en.wikipedia.org/wiki/Polynomial_expansion

   In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...

5. PDFtk - Wikipedia

   en.wikipedia.org/wiki/Pdftk

   PDFtk (short for PDF Toolkit) is a toolkit for manipulating Portable Document Format (PDF) documents. [ 3 ] [ 4 ] It runs on Linux , Windows and macOS . [ 5 ] It comes in three versions: PDFtk Server ( open-source command-line tool ), PDFtk Free ( freeware ) and PDFtk Pro ( proprietary paid ). [ 2 ]

6. Floor and ceiling functions - Wikipedia

   en.wikipedia.org/wiki/Floor_and_ceiling_functions

   Given real numbers x and y, integers m and n and the set of integers, floor and ceiling may be defined by the equations ⌊ ⌋ = {}, ⌈ ⌉ = {}. Since there is exactly one integer in a half-open interval of length one, for any real number x, there are unique integers m and n satisfying the equation

7. Binomial approximation - Wikipedia

   en.wikipedia.org/wiki/Binomial_approximation

   The binomial approximation for the square root, + + /, can be applied for the following expression, + where and are real but .. The mathematical form for the binomial approximation can be recovered by factoring out the large term and recalling that a square root is the same as a power of one half.