If there is a mixture of only two types of atoms, not counting impurities, such as a copper-nickel alloy, then it is called a binary alloy.

If a planet orbits one member of a binary star system, then an uppercase letter for the star will be followed by a lowercase letter for the planet.

If Good Times was not stopped in time, an infected computer would enter an " nth-complexity infinite binary loop " ( a meaningless term ), damaging the processor.

If G is a group and X is a set, then a ( left ) group action of G on X is a binary operator:

If the datum to be hashed is small enough, one can use the datum itself ( reinterpreted as an integer in binary notation ) as the hashed value.

If one object consists of a set X with a binary relation R and the other object consists of a set Y with a binary relation S then an isomorphism from X to Y is a bijective function such that:

If a more sophisticated data structure ( e. g., heap or binary tree ) is used, the time required for searching and insertion can be reduced significantly ; this is the essence of heap sort and binary tree sort.

If the table size n is large enough, linear search will be faster than binary search, whose cost is O ( log n ).

If the list is stored as an ordered array, then binary search is almost always more efficient than linear search as with n > 8, say, unless there is some reason to suppose that most searches will be for the small elements near the start of the sorted list.

# If not, it provides a descriptive label for the format of content, with respect to the presence of 8 bit or binary content.

If there were a ' zero ' symbol, unary would effectively be a binary system.

If * is a binary operation, then h ( x * y ) = h ( x ) * h ( y ).

If G is a group ( with identity element e and operation *) and ~ is a binary relation on G, then ~ is a congruence whenever:

If that device uses natural binary codes, these two positions would be right next to each other:

If a binary star happens to orbit in a plane along our line of sight, its components will eclipse and transit each other ; these pairs are called eclipsing binaries, or, as they are detected by their changes in brightness during eclipses and transits, photometric binaries.

If components in binary star systems are close enough they can gravitationally distort their mutual outer stellar atmospheres.

If the relative motion of a pair determines a curved arc of an orbit, or if the relative motion is small compared to the common proper motion of both stars, it may be concluded that the pair is in mutual orbit as a binary star.

If visual doubles show similar properties, such as similar proper motion through space, trigonometric parallaxes, or radial velocities, this is evidence that they are gravitationally attached and form a binary system ; in this case, the visual double star is called a visual binary.

If this problem is in NC, then so is every other problem in P. If the number of steps is written in binary, the problem is EXPTIME-complete.

If a number T is written as a binary number ( a string of n ones and zeros, where n = log T ), then the obvious sequential algorithm can take time 2 < sup > n </ sup >.

If PC is a binary counter, it may increment when a pulse is applied to its COUNT UP input, or the CPU may compute some other value and load it into PC by a pulse to its LOAD input.

If the first allele is dominant to the second, then the fraction of the population that will show the dominant phenotype is p < sup > 2 </ sup > + 2pq, and the fraction with the recessive phenotype is q < sup > 2 </ sup >.

If it is the fraction of impinging atoms getting through the foil which is measured, the result can still be expressed in terms of the equivalent stopping cross section of the atoms.

If is much smaller than, the mole ratio is almost identical to the mole fraction.

If is much smaller than, the mass ratio is almost identical to the mass fraction.

If the rational number's denominator has any prime factors other than 2 or 5, it cannot be expressed as a finite decimal fraction, and has a unique eventually repeating infinite decimal expansion.

If the primary variable is mass fraction (, given, for example, in ), then the equation changes to:

If you push on a wall, it takes a fraction of a second before you apply the full push.

If no additional energy is supplied by any other mechanism, the nucleus will not fission, but will merely absorb the neutron, as happens when U-238 absorbs slow and even some fraction of fast neutrons, to become U-239.

If the item is counterfeit, such as a fake Rolex watch, it may have only a fraction of the value of the genuine item.

* Case 2: If L is a fraction, round to the nearest whole number.

If it were rational, it could be expressed as a fraction a / b in lowest terms, where a and b are integers, at least one of which is odd.

If the fraction is greater than 1, then arcsine is not defined — meaning that total internal reflection does not occur even at very shallow or grazing incident angles.

If the fuel is dense enough and hot enough, the fusion reaction rate will be high enough to burn a significant fraction of the fuel before it has dissipated.

If is close to zero, will be very close to one after a single observation of an object which turned out to have the predicate, while if is much larger than, will be very close to regardless of the fraction of observed objects which had the predicate.

If arbitrary values and / or functions are used in place of one or more of the numerators or the integers in the denominators, the resulting expression is a generalized continued fraction.

If the dividend has a fractional part ( expressed as a decimal fraction ), one can continue the algorithm past the ones place as far as desired.

If the divisor has a fractional part, we can restate the problem by moving the decimal to the right in both numbers until the divisor has no fraction.

If the pressure rises without changing this mole fraction, the dew point will rise accordingly ; Reducing the mole fraction, i. e., making the air less humid, would bring the dew point back down to its initial value.

If a large fraction of a rat population is exterminated, the remaining rats will increase their reproductive rate, and quickly restore the old population level.

If a player is all in for part of the ante, or the exact amount of the ante, an equal amount of every other player's ante is placed in the main pot, with any remaining fraction of the ante and all blinds and further bets in the side pot.

If done by direct propulsion, the rocket equation dictates that a large fraction of the spacecraft mass must be fuel.

If the number has a line above it, then it represents a unit fraction ( that is, would be ), whereas a line below the number indicates an integer.