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The non-orientable genus, demigenus, or Euler genus of a connected, non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − k , where k is the non-orientable genus.
Interactive Forms is a mechanism to add forms to the PDF file format. PDF currently supports two different methods for integrating data and PDF forms. Both formats today coexist in the PDF specification: [38] [53] [54] [55] AcroForms (also known as Acrobat forms), introduced in the PDF 1.2 format specification and included in all later PDF ...
The genus (sometimes called the demigenus or Euler genus) of a connected non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ , via the relationship χ = 2 − g , where g is the non-orientable ...
While slang is usually inappropriate for formal settings, this assortment includes well-known expressions from that time, with some still in use today, e.g., blind date, cutie-pie, freebie, and take the ball and run. [2] These items were gathered from published sources documenting 1920s slang, including books, PDFs, and websites.
Proofs and Refutations: The Logic of Mathematical Discovery is a 1976 book by philosopher Imre Lakatos expounding his view of the progress of mathematics.The book is written as a series of Socratic dialogues involving a group of students who debate the proof of the Euler characteristic defined for the polyhedron.
Cover of the first volume of the print edition (2010) of Green's Dictionary of Slang. Green's Dictionary of Slang (GDoS) is a multivolume dictionary defining and giving the history of English slang from around the Early Modern English period to the present day written by Jonathon Green.
Euler's laws of motion expressed scientific laws of Galileo and Newton in terms of points in reference frames and coordinate systems making them useful for calculation when the statement of a problem or example is slightly changed from the original. [3] Newton–Euler equations express the dynamics of a rigid body. Euler has been credited with ...
Growth of the eight largest Wikibooks sites (by language), July 2003–January 2010. Wikibooks (previously called Wikimedia Free Textbook Project and Wikimedia-Textbooks) is a wiki-based Wikimedia project hosted by the Wikimedia Foundation for the creation of free content digital textbooks and annotated texts that anyone can edit.