Download 50 Mathematical Ideas You Really Need to Know by Tony Crilly PDF

Download 50 Mathematical Ideas You Really Need to Know by Tony Crilly PDF

By Tony Crilly

--Newly up to date and optimised for Kindle units (March 2013)--

Just the point out of arithmetic is sufficient to strike worry into the hearts of many, but with out it, the human race couldn't be the place it really is this present day. by way of exploring the topic via its 50 key insights - from the straightforward (the no 1) and the sophisticated (the invention of 0) to the delicate (proving Fermat's final theorem) - this ebook exhibits how arithmetic has replaced the way in which we glance on the global round us.

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Extra info for 50 Mathematical Ideas You Really Need to Know

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Whenever you use a node in an XPath expression in a context where an atomic value (or a sequence of atomic values) is expected, the typed value of the node is extracted. For example, if you write «@a + 1», the typed value of the attribute «a» is used. If this is a number, all is well. 25 Chapter 1 If it’s some other type such as string or date, the expression fails with a type error. But if the value is untyped, that is, if there is no schema, then weak typing comes into play: the value is automatically converted to the required type, in this case, to a number.

Instead, each namespace used in a document can be given a short nickname, and this nickname is used as a prefix of the element and attribute names. It doesn’t matter what prefix you choose, because the real name of the element or attribute is determined only by its namespace URI and its local name (the part of the name after the prefix). org/1999/XSL/Transform, but you could equally well use the prefix xslt, so long as you use it consistently. ❑ For element names, you can also declare a default namespace URI, which is to be associated with unprefixed element names.

This problem was discovered late in the day, and the language designers responded to this problem by going back to the drawing board, and devising an extension to XPointer that allowed the namespace prefixes to be defined within the XPointer itself. Perhaps more importantly, XPointer hit a serious political problem in that it appeared to use a technique that Sun had patented. Sun proposed terms and conditions under which they agreed to license this patent, but the terms and conditions were not acceptable to everyone and this led to a fierce debate on patent policy in the W3C which overshadowed the original technical issues.

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