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The treatment of 0 0 also varies across different computer programming languages and software. While many follow the convention of assigning 0 0 = 1 for practical reasons, others leave it undefined or return errors depending on the context of use, reflecting the ambiguity of the expression in mathematical analysis.
Rays emanating from 0 in the z-plane are mapped to horizontal lines in the w-plane. Each circle and ray in the z-plane as above meet at a right angle. Their images under Log are a vertical segment and a horizontal line (respectively) in the w-plane, and these too meet at a right angle. This is an illustration of the conformal property of Log.
This means that the expressions (a > 0 and not flag) and (a > 0 && !flag) have identical meanings. It also means that, for example, the bitand keyword may be used to replace not only the bitwise-and operator but also the address-of operator, and it can even be used to specify reference types (e.g., int bitand ref = n).
Invalid operation: mathematically undefined, e.g., the square root of a negative number. By default, returns qNaN. Division by zero: an operation on finite operands gives an exact infinite result, e.g., 1/0 or log(0). By default, returns ±infinity.
In computer software and hardware, find first set (ffs) or find first one is a bit operation that, given an unsigned machine word, [nb 1] designates the index or position of the least significant bit set to one in the word counting from the least significant bit position.
The C standard does not say that the null pointer is the same as the pointer to memory address 0, though that may be the case in practice. Dereferencing a null pointer is undefined behavior in C, [7] and a conforming implementation is allowed to assume that any pointer that is dereferenced is not null.
Logarithmic number systems have been independently invented and published at least three times as an alternative to fixed-point and floating-point number systems. [1]Nicholas Kingsbury and Peter Rayner introduced "logarithmic arithmetic" for digital signal processing (DSP) in 1971.
A NaN (not a number) value represents undefined results. In IEEE arithmetic, division of 0/0 or ∞/∞ results in NaN, but otherwise division always produces a well-defined result. Dividing any non-zero number by positive zero (+0) results in an infinity of the same sign as the dividend.