... 9 23 31.18 The physical status of string theory? 926 32 Einstein’s narrower path; loop variables 934 32 .1 Canonical quantum gravity 934 32 .2 The chiral input to Ashtekar’s variables 935 32 .3 The ... became apparent at the head of the beam, giving the whole structure the appearance of a distant giant parasol,glowing evilly, with a smoky Xaming staV. The parasol’s hood began to spread and darken a ... those that are objectively true. Indeed, I would regard mathematicalobjectivity as really what mathematical Platonism is all about. To say thatsome mathematical assertion has a Platonic existence...
... quadratic field is said to be imaginary and in the second it is said to be real. Now in an imaginary quadratic field there are only finitely many units. In fact if d < -3 then, as is readily ... Press, The subject has a long and distinguished history, and indeed the concepts and problems relating tothe theory have been instrumental inthe foundation of a large part of mathematics. The ... associates. A funda- mental problem in number theory is to determine which domains have unique factorization, and here the definition of a prime plays a crucial role. In fact we have the basic theorem...
... make, measure, use, and design on the nanoscale. Because the nanoscale is so small, almost unimaginably small, it is clearly difficult to do the imagining, the making, the measuring, and the ... detectors for biotoxins such as anthrax. Nano skin creams and suntan lotions are already on the market, and nano-enhanced tennis balls that bounce longer appeared at the 2002 Davis Cup. To date, ... companies that claim to be nano companies are engaging in research or trying to cash in on hype rather than working toward delivering a true nano product, but there certainly are exceptions. There...
... 0.2). Again and again, it turns out to be a fact that the worldcontains physical operations and magnitudes that are in this way ‘‘wellbehaved’’ with respect to specific mathematical operations and ... fairly austere and the other comparatively re-laxed. Somewhat tongue in cheek, I call them ‘Apollonian’ and ‘Dionys-ian’. The Apollonian approach is marked by an especially close reading of the ... the way that a legal right of ownership isultimately established, i.e., by demonstrating that certain matter-of-factualstates of affairs do obtain or have obtained—for instance, that all the constituents...
... (default)Passed a value into a variable used bythe method–Any changes made to this variable inthe function have no effect on the parameter specied inthe function callãReference parametersSend ... itemsãWithin a namespace, you can declare:ãanother namespaceãclassãinterfaceãstructãenumãdelegateãC# is case sensitive12 The basic variable naming rules– The first character of a variable ... a method the actual reference point–Any changes made to this variable will be reflected in the value of the variable used as a parameterãUse the ref keyword: means the argument must be initialized...
... to defining strings, the chapter looks at the various methods ofstring manipulation. These include inserting and erasing, searching and replacing, com-paring, and concatenating strings.Chapter ... literal5.190.519E10.0519e2519.OE-212.12.0.12E+212e00.75.757.5e-175E-20.000040.4e-4.4E-44E-5Constant Character Constant Value(ASCII code decimal)Capital A Lowercase a BlankDotDigit 0Terminating null character6597 32 46480&apos ;A& apos;&apos ;a& apos;' ''.''0''\0' ... quotes. Character constants take the type char.EXAMPLE: &apos ;A& apos; // Type: char The numerical value is the character code representing the character. The constant &apos ;A& apos;thus has a value...
... AND ASSIGNMENT STATEMENTS To store a value ina MATLAB session, or ina program, a variable is used. The Workspace Window shows variables that have been created and their values.One easy way to ... the menu and then clicking on the curled arrow pointing tothe lower right willdock the window again. To make any of these windows the active window,click the mouse in it. By default, the active window ... expression. In MATLAB , as in many programming languages, “true” is represented by the logical value 1, and “false” is represented bythe logical value 0. So, the expression 3& lt;5actually displays in the...
... Committee (American National Standards Institute) wasfounded to standardize the C++ programming language. The aim was to have as manycompiler vendors and software developers as possible agree on a unified ... previously into a single task. A graphical user interface isavailable for editing, compiling, linking, and running the application. Moreover, addi-tional tools, such as a debugger, can be launched. In ... 1 53 Defining and Assigning Strings 154Concatenating Strings 156Comparing Strings 158Inserting and Erasing in Strings 160Searching and Replacing in Strings 162Accessing Characters in Strings 164Exercises...