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Type errors (such as an attempt to apply the ++ increment operator to a Boolean variable in Java) and undeclared variable errors are sometimes considered to be syntax errors when they are detected at compile-time.
For example, in most keyboard layouts the Shift key combination ⇧ Shift+A will produce a capital letter "A" instead of the default lower-case letter "a" (unless in Caps Lock or Shift lock mode). A combination of Alt + F4 in Microsoft Windows will trigger the shortcut for closing the active window ; in this instance, Alt is the modifier key.
Spaces within a formula must be directly managed (for example by including explicit hair or thin spaces). Variable names must be italicized explicitly, and superscripts and subscripts must use an explicit tag or template. Except for short formulas, the source of a formula typically has more markup overhead and can be difficult to read.
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Shift operators are examples of linear operators, important for their simplicity and natural occurrence. The shift operator action on functions of a real variable plays an important role in harmonic analysis, for example, it appears in the definitions of almost periodic functions, positive-definite functions, derivatives, and convolution. [2]
Syntax is usually associated with the rules (or grammar) governing the composition of texts in a formal language that constitute the well-formed formulas of a formal system. In computer science, the term syntax refers to the rules governing the composition of well-formed expressions in a programming language. As in mathematical logic, it is ...
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Another is Mathematica, where the Return key creates a new line, while the Enter key (or Shift-Return) submits the current command for execution. Historically, many computer models did not have a separate keypad, and only had one button to function as Enter or Return. For example, the Commodore 64 (manufactured from 1982) had only the "Return ...