Friday, April 28, 2017

Using Algebraic Geometry

Table of contents (9 chapters)

  1. Introduction
  2. Solving Polynomial Equations
  3. Resultants
  4. Computation in Local Rings
  5. Modules
  6. Free Resolutions
  7. Polytopes, Resultants, and Equations
  8. Integer Programming, Combinatorics, and Splines
  9. Algebraic Coding Theory

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MathType

          MathType is a powerful interactive equation editor for Windows and Macintosh that lets you create mathematical notation for word processing, web pages, desktop publishing, presentations, elearning, and for TeX, LaTeX, and MathML documents.

Features & Benefits

More Ways to Create Equations:

Entering Math by Hand: Enter equations as easily as you would write math with paper and pencil! This feature uses the built-in handwriting recognition in Windows 7 and later.
Point-and-Click Editing with Automatic Formatting: Create equations quickly by choosing templates from MathType's palettes and typing into their empty slots. MathType applies mathematical spacing rules automatically as you type.

Keyboard Shortcuts: Save time using keyboard shortcuts. MathType has customizable keyboard shortcuts for virtually every symbol, template, and command.

Type TeX or LaTeX: If you already know the TeX typesetting language, you can enter equations directly into MathType or Microsoft Word documents. TeX editing can be mixed with point-and-click editing so you get the best of both worlds. You can even paste in equations from existing TeX documents.

Copy and Paste: If you created a MathType equation for use in another application or found one on a website, why take the time to create it by hand again? Simply copy and paste it directly into MathType, and it is ready to edit or use in your work.

Save Expressions in the Toolbar: Drag frequently used equations and expressions to the MathType toolbar so they can be inserted later with just a click or a keystroke.

Supports Microsoft Office:
Office 2016 for Windows: MathType 6.9 is fully compatible with Office 2016 and Office 365 for Windows 

Office 2013, 2010, 2007, 2003, & XP: MathType 6.9 is fully compatible.

Office Web Apps, Office Mobile, and Office RT: MathType equations cannot be edited in these Office versions but equations created in other versions of Office will display and print.
Microsoft Office 365, 2016 (Windows), 2013, 2010 & 2007 — MathType Ribbon Tab in Word and PowerPoint: MathType takes full advantage of Office's Ribbon User Interface making it easier than ever to do equation operations in documents and presentations. New equation numbering and browse features work with all Word equation types.

Microsoft Office 2003 and XP (2002) — MathType Toolbar and Menu in Word and PowerPoint: MathType adds a toolbar and menu to Microsoft Word and PowerPoint, allowing quick access to its features and powerful commands to do equation numbering, produce great-looking math web pages, presentations, and much more.
Find Symbols: MathType's Insert Symbol dialog allows you to explore the available symbols and insert them with a click or keystroke.

More Control:

Color: Use color to highlight part of an equation and focus your audience's attention on just the portions you want. Show what changed in each step of a multi-step procedure and make those equations really come to life.

More Fonts: MathType has hundreds more symbols and templates than Equation Editor. Besides our exclusive Euclid™ math fonts, you can also make use of the 1000s of math symbols in fonts already on your computer, as well as other math fonts you can download from the Internet.

Work with MathML and LaTeX:

Work in standard math notation: LaTeX and MathML are computer languages for representing mathematical notation.
LaTeX is used by many mathematicians but has a steep learning curve and its abundance of braces and keywords make typing it extremely tedious and error-prone. Most people find it much easier to work directly with standard math notation in MathType.
MathML was created in 1998 by the World Wide Web Consortium (W3C) and defines math in HTML5, EPUB3, DAISY, DITA, NLM/JATS, and many other publishing standards. It is not intended to be typed by humans but created and edited with tools like MathType.

Copy as MathML or LaTeX: Complex mathematical equations can be entered easily in MathType and then copied to the clipboard as LaTeX or MathML to be pasted into applications and websites that use those languages.

Paste MathML or LaTeX into MathType: Many websites contain equations expressed in LaTeX or MathML and can be pasted directly into MathType for use in your own work or to convert them to a different format (eg, LaTeX to MathML).



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Inpage 2009

                 InPage is a word processor and page layout software for languages such as Urdu, Persian, Pashto and Arabic under Windows and Mac which was first developed in 1994. It is primarily used for creating pages in the language of Urdu, using the Nasta`līq (نستعلیق) ('hanging' calligraphic) style of Arabic script. As a de facto standard Urdu publishing tool, InPage is widely used on PCs where the user wishes to create their documents in Urdu, using the authentic style of Nastaliq with a vast ligature library (more than 20,000), while keeping the display of characters on screen WYSIWYG (What-You-See-Is-What-You-Get). Overall, this makes the on-screen and printed results more 'faithful' to hand-written calligraphy than all or most other Urdu software on the market. This is achieved while keeping the operation easy, akin to that of earlier versions of standard English Desktop Publishing packages such as QuarkXPress and Adobe InDesign.


                Before being used within InPage, the Noori style of Nastaliq, which was first created as a digital typeface (font) in 1981 through the collaboration of Mirza Ahmad Jamil TI (as calligrapher) and Monotype Imaging (formerly Monotype Corp.), suffered from two problems in the 1990s: a) its non-availability on standard platforms such as Windows or Mac, and b) the non-WYSIWYG nature of text entry, whereby the document had to be created by commands in Monotype's proprietary page description language.

              In 1994, an Indian software development team - Concept Software Pvt Ltd, led by Rarendra Singh & Vijay Gupta, with the collaboration of a UK company called Multilingual Solutions led by Kamran Rouhi, developed InPage Urdu for Pakistan's newspaper industry, who up until that time had been using large teams of calligraphers to hand-write last minute corrections to text created under Monotype's proprietary system. The Noori Nastaliq typeface was licensed for InPage from Monotype & augmented for use as the main Urdu font in this software, along with 40 other non-Nastaliq fonts.

                InPage is reported to be in use on millions of PCs in Pakistan & India (mainly illegal pirated version). It has also been widely marketed & sold legally in the UK and India since 1994.[citation needed]

                  InPage launched its Version 3 at ITCN exhibition Asia in Karachi, Pakistan, held in August 2008. This version is Unicode based, supports more Languages, and other Nastaliq fonts with Kasheeda have been added to it along with compatibility with OpenType Unicode fonts. In addition to Arabic, Saraiki, Urdu, Persian & Pashto, other languages of the region, such as Sindhi and Hazaragi can be handled in InPage.



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