If the reserve components are to serve effectively in time of war, their basic organization and objectives must conform to the changing character and missions of the active forces.

If this special relationship does not exist then it not usually spoken of as " backward " compatibility but is instead just " compatible "— a consistent interface allowing interoperability between components and products that were each developed separately.

If the difference in vapor pressure between the two components A and B is large ( generally expressed as the difference in boiling points ), the mixture in the beginning of the distillation is highly enriched in component A, and when component A has distilled off, the boiling liquid is enriched in component B.

If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.

If some components of a kit prove more difficult to " mike " than others, sensors may be used on only the more difficult instruments.

If the fields have components in the same direction, they constructively interfere, while opposite directions cause destructive interference.

If the latter subgroup cools slowly from a melt, it forms exsolution lamellae because the two components — orthoclase and albite — are unstable in solid solution.

If the unitary transformation is chosen correctly, several components of the combined system will evolve into approximate copies of the original system.

If the feedback network is made of components with relatively constant, stable values, the variability of the op-amp's open loop response does not seriously affect the circuit's performance.

If all the components are at zero the result is black ; if all are at maximum, the result is the brightest representable white.

If a new media stream is added to a presentation ( e. g., during a live presentation ), the whole presentation description should be sent again, rather than just the additional components, so that components can be deleted.

If they had any significant level of non-organic parts then something as simple as an x-ray scan would show them not to be human ( unless their creators designed the non-organic parts to have almost exactly the same structure and density as the organic components they were replacing, which would be both infeasible and highly improbable but not completely out of the question ).

If the energy transfer is more efficient to one of the target components, and / or it is less strongly bound to the solid, it will sputter more efficiently than the other.

If the components of the computer were too large or the wires interconnecting them too long, the electric signals couldn't travel fast enough through the circuit, thus making the computer too slow to be effective.

If the boundary is a sphere in three space dimensions, the angular components of the eigenfunctions are spherical harmonics, and the radial components are Bessel functions of half-integer order.

* If instead the sampling frequency is known, the theorem gives us an upper bound for frequency components, B < f < sub > s </ sub >/ 2, of the signal to allow for perfect reconstruction.

If the categories C and D have all limits of type J then lim is a functor and the morphisms τ < sub > F </ sub > form the components of a natural transformation

If this wave interacts with a material at which the horizontal component ( green sinusoid ) travels at a different speed than the vertical component ( blue sinusoid ), the two components will fall out of the 90 degree phase difference ( required for circular polarization ) changing the Kerr Ellipticity.

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 a star grows outside of its Roche lobe too fast for all abundant matter to be transferred to the other component, it is also possible that matter will leave the system through other Lagrange points or as stellar wind, thus being effectively lost to both components.

If one set of these components is eliminated as well as the residual carrier, only the remaining set is transmitted.

If all components of the system are functional, then the resultant security assurance is at NIST 800-63 Level 3.

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 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.