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  2. Circular shift - Wikipedia

    en.wikipedia.org/wiki/Circular_shift

    The operation shift(L) has been studied in formal language theory. For instance, if L is a context-free language, then shift(L) is again context-free. [6] [7] Also, if L is described by a regular expression of length n, there is a regular expression of length O(n 3) describing shift(L). [8]

  3. Bitwise operation - Wikipedia

    en.wikipedia.org/wiki/Bitwise_operation

    A bitwise AND is a binary operation that takes two equal-length binary representations and performs the logical AND operation on each pair of the corresponding bits. Thus, if both bits in the compared position are 1, the bit in the resulting binary representation is 1 (1 × 1 = 1); otherwise, the result is 0 (1 × 0 = 0 and 0 × 0 = 0).

  4. Zhegalkin polynomial - Wikipedia

    en.wikipedia.org/wiki/Zhegalkin_polynomial

    bitwise operation "Exclusive OR" The most economical in terms of the amount of computation and expedient for constructing the Zhegalkin polynomial manually is the Pascal method. We build a table consisting of 2 N {\displaystyle 2^{N}} columns and N + 1 {\displaystyle N+1} rows, where N is the number of variables in the function.

  5. Flow (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Flow_(mathematics)

    In mathematics, a flow formalizes the idea of the motion of particles in a fluid. Flows are ubiquitous in science, including engineering and physics. The notion of flow is basic to the study of ordinary differential equations. Informally, a flow may be viewed as a continuous motion of points over time.

  6. Flow graph (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Flow_graph_(mathematics)

    An example of a signal-flow graph Flow graph for three simultaneous equations. The edges incident on each node are colored differently just for emphasis. An example of a flow graph connected to some starting equations is presented. The set of equations should be consistent and linearly independent. An example of such a set is: [2]

  7. Bit manipulation - Wikipedia

    en.wikipedia.org/wiki/Bit_manipulation

    A mask is data that is used for bitwise operations, particularly in a bit field. Using a mask, multiple bits in a Byte, nibble, word (etc.) can be set either on, off or inverted from on to off (or vice versa) in a single bitwise operation. More comprehensive applications of masking, when applied conditionally to operations, are termed predication.

  8. Mask (computing) - Wikipedia

    en.wikipedia.org/wiki/Mask_(computing)

    At run time, to put the image on the screen over the background, the program first masks the screen pixel's bits with the image mask at the desired coordinates using the bitwise AND operation. This preserves the background pixels of the transparent areas while resets with zeros the bits of the pixels which will be obscured by the overlapped image.

  9. Logical disjunction - Wikipedia

    en.wikipedia.org/wiki/Logical_disjunction

    Disjunction is often used for bitwise operations. Examples: 0 or 0 = 0; 0 or 1 = 1; 1 or 0 = 1; 1 or 1 = 1; 1010 or 1100 = 1110; The or operator can be used to set bits in a bit field to 1, by or-ing the field with a constant field with the relevant bits set to 1.

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