For one example ( a variant of the Cantor set ), remove from all dyadic fractions, i. e. fractions of the form a / 2 < sup > n </ sup > in lowest terms for positive integers a and n, and the intervals around them: ( a / 2 < sup > n </ sup > − 1 / 2 < sup > 2n + 1 </ sup >, a / 2 < sup > n </ sup > + 1 / 2 < sup > 2n + 1 </ sup >).

For every dyadic fraction r ∈ ( 0, 1 ), we are going to construct an open subset U ( r ) of X such that:

For Chodorow, the contrast between the dyadic and triadic first love experiences explains the social construction of gender roles, the universal degradation of women in culture, cross-cultural patterns in male behavior, and marital strain in the West after Second Wave feminism.

For example, an 8-bit CPU deals with a range of numbers that can be represented by eight binary digits ( each digit having two possible values ), that is, 2 < sup > 8 </ sup > or 256 discrete numbers.

For example, an 8-bit integer allows the numbers − 128 to + 127.

For example, 8-bit color is 2 to the 8th power, which is 256 colors.

For the most early 8-bit and 16-bit microprocessors the performance was recognized in thousand instructions per second ( kIPS ), which equals 0. 001 MIPS.

For example, a linearly encoded 16-bit PCM signal can be converted to an 8-bit WAV or AU file while maintaining a decent SNR by compressing before the transition to 8-bit and expanding after a conversion back to 16-bit.

For a typical phone call, the audio sound is digitized at an 8 kHz sample rate using 8-bit pulse-code modulation for each of the 8000 samples per second.

For identifying the channel to which a packet is associated, each packet contains a 12 bit logical channel identifier made up of an 8-bit logical channel number and a 4-bit logical channel group number.

For example, IBM built computers in the early 1960s with 8-bit characters, and an " upper half " of Latin I characters became common in many data networks that had formerly used 7-bit ASCII.

For example, if there are 16 bits per pixel, each pixel is represented in two consecutive ( contiguous ) 8-bit bytes in the framebuffer ( a. k. a. screen buffer ).

For two operand 8-bit operations, the other operand can be either an immediate value, another 8-bit register, or a memory cell addressed by the 16-bit register pair HL.

For instance, both the Bally Astrocade and Atari 8-bit family ( originally intended to be a console ) included HBI support.

For this reason, such a quantizer has sometimes been called an 8-bit quantizer.

For example, many early email systems were not 8-bit clean ; they seemed to transfer typical short text messages properly, but converted " unusual " characters ( the control characters, the " high ASCII " characters ) in an irreversible way into some other " usual " character.

For example, in this notation, 0: 8: 0 represents an unsigned 8-bit integer.

For various technical reasons, the connection was not entirely " invisible ", and sometimes required the user to enter arcane commands to make 8-bit clean connections work properly for file transfer.

For instance, almost all 8-bit processors, such as 6502, supported 16-bit addresses — if not they would have been limited to a mere 256 byte memory.

For example, the scaling and offset applied to the Y ′ component per specification ( e. g. MPEG-2 ) results in the value of 16 for black and the value of 235 for white when using an 8-bit representation.

For example, if an image contains 10 colors but has a color palette of 256 entries ( 8-bit ), pngcrush can be used to reduce the color palette to a 4-bit one and truncate the palette to 10 entries:

For example, an 8-bit screen cannot be combined with a 16-bit screen.

For example, an 8-bit parallel channel will convey eight bits ( or a byte ) simultaneously, whereas a serial channel would convey those same bits sequentially, one at a time.

For various reasons, however, poverty and personal inclination among others, he did not take a prominent part in the military operations of this period.

For example, if for a given problem size a parallelized implementation of an algorithm can run 12 % of the algorithm's operations arbitrarily quickly ( while the remaining 88 % of the operations are not parallelizable ), Amdahl's law states that the maximum speedup of the parallelized version is times as fast as the non-parallelized implementation.

For example, an abstract stack data structure could be defined by three operations:, that inserts some data item onto the structure,, that extracts an item from it ( with the constraint that each pop always returns the most recently pushed item that has not been popped yet ), and, that allows data on top of the structure to be examined without removal.

For instance, if a user is designing a Microsoft Windows desktop application, he / she might use the. NET Windows Forms library to design the desktop application and call its APIs like Form1. Close () and Form1. Show () to close or open the application and write the additional operations him / herself that it need to have.

For the next forty years, Chile's armed forces would be distracted from meddling in politics by skirmishes and defensive operations on the southern frontier, although some units got embroiled in domestic conflicts in 1851 and 1859.

( For an IT company, the subject matter would be similar to the CIO's, however the CTO's focus is technology for the firm to sell versus technology used for facilitating the firm's own operations.

For instance, in hydrogenation operations, large planes of metal surface function as sites of hydrogenolysis catalysis while sites catalyzing hydrogenation of unsaturates are smaller.

For instance, it defined chemical engineering to be a " science of itself, the basis of which is ... unit operations " in a 1922 report ; and with which principle, it had published a list of academic institutions which offered " satisfactory " chemical engineering courses.

For compositing operators that are commutative, such as additive blending, it is safe to re-order the blending operations.

For example, the problem of trisecting an angle with a compass and straightedge is one that naturally occurs within the theory, since the axioms refer to constructive operations that can be carried out with those tools.

For example, there are two fundamental operations on the plane.

: For all a, b in F, both a + b and a · b are in F ( or more formally, + and · are binary operations on F ).

For instance, power grades of black powder, unsuitable for use in firearms but adequate for blasting rock in quarrying operations, is called blasting powder rather than gunpowder with standard proportions of 70 % nitrate, 14 % charcoal, and 16 % sulfur ; blasting powder may be made with the cheaper sodium nitrate substituted for potassium nitrate and proportions may be as low as 40 % nitrate, 30 % charcoal, and 30 % sulfur.

For example a file translator may simply redirect read and write operations to another file, not unlike a Unix symbolic link.

For the next few years, Hannibal was forced to sustain a scorched earth policy and obtain local provisions for protracted and ineffectual operations throughout southern Italy.

For his service there, and in particular for his actions in the Loe-Agra operations against the Pathans in Malakand between February and April 1935, Alexander was that year made a Companion of the Order of the Star of India and was mentioned in despatches.

For example, the operations of set union and set intersection are both idempotent, as are logical conjunction and logical disjunction, and, in general, the meet and join operations of a lattice.

For example, a single typical microinstruction might specify the following operations:

For details of the specific operations defined in different languages, see the modulo operation page.

For the United States to be legally responsible, it would have to be proved that that State had effective control of the operations in the course of which the alleged violations were committed.

For midstream and upstream operations, multiphase pumps can be located onshore or offshore and can be connected to single or multiple wellheads.