If we neglect higher than first order terms in the fluctuations, the mass balance equation becomes

* Continuity: If a certain mass of fluid enters a volume, it must either exit the volume or change the mass inside the volume.

If the path of the particle or centre of mass of the rigid body passes through the given origin, its angular momentum is zero.

If we define r < sub > i </ sub > as the displacement of particle i from the center of mass, and v < sub > i </ sub > as the velocity of particle i with respect to the center of mass, then we have

If a small heater is available for the coldest nights, a slab or basement cistern can inexpensively provide the required thermal mass.

If the boat floats, the mass of the boat ( plus contents ) as a whole divided by the volume below the waterline is equal to the density of water ( 1 kg / l ).

If there are other stars orbiting a black hole, their orbit can be used to determine its mass and location.

If the air mass is colder than the ground below it, it is labeled k. If the air mass is warmer than the ground below it, it is labeled w. While air mass identification was originally used in weather forecasting during the 1950s, climatologists began to establish synoptic climatologies based on this idea in 1973.

If a main-sequence star is not too massive ( less than approximately 8 solar masses ), it will eventually shed enough mass to form a white dwarf having mass below the Chandrasekhar limit, which will consist of the former core of the star.

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

If this acceleration is multiplied by the particle mass, the leading term is the centripetal force and the negative of the second term related to angular acceleration is sometimes called the Euler force.

If one item in a package or stack initiates, it will usually propagate to the other items, creating a mass fire.

If we choose the shape of the control volume such that all flow in or out occurs perpendicular to its surface, then the flow of matter into the system performs work as if it were a piston of fluid pushing mass into the system, and the system performs work on the flow of matter out as if it were driving a piston of fluid.

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

If disk galaxies merge with another galaxy of comparable mass ( at least 15 percent of its mass ) the merger will likely destroy, or at a minimum greatly disrupt the disk, yet the resulting galaxy is not expected to be a disk galaxy.

If we stop thinking in terms of tremendous multimegaton nuclear weapons and consider employing much smaller nuclear weapons which may be more appropriate for most important military targets, it would seem that the B-52 or B-70 could carry a great many small nuclear weapons.

If I could put your body in an imaginary atomic press and squeeze you down, squeeze these holes out of you in the way we squeeze the holes out of a sponge, you would get smaller and smaller until finally when the last hole was gone, you would be smaller than the smallest speck of dust that you could see on this piece of paper.

** Trichotomy: If two sets are given, then either they have the same cardinality, or one has a smaller cardinality than the other.

If κ is an infinite cardinal number, then cf ( κ ) is the least cardinal such that there is an unbounded function from it to κ ; and cf ( κ ) = the cardinality of the smallest collection of sets of strictly smaller cardinals such that their sum is κ ; more precisely

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

If each pixel on the display actually contains three rectangular subpixels of red, green, and blue, in that fixed order, then things on the screen that are smaller than one full pixel in size can be rendered by lighting only one or two of the subpixels.

To make a figure larger or smaller is equivalent to multiplying the Cartesian coordinates of every point by the same positive number m. If ( x, y ) are the coordinates of a point on the original figure, the corresponding point on the scaled figure has coordinates

If m is greater than 1, the figure becomes larger ; if m is between 0 and 1, it becomes smaller.

If, for the same focal length setting, the subject distance is adjusted to provide the same field of view at the subject, at the same f-number and final-image size, the smaller format has greater DOF, as with the “ same picture ” comparison above.

If pictures are taken from the same distance using the same f-number, same focal length, and the final images are the same size, the smaller format has less DOF.

If a database cannot tolerate even such smaller probability of data loss, then the RAID group itself is replicated ( mirrored ).

If a database cannot tolerate even such smaller probability of data loss, then the RAID group itself is replicated ( mirrored ).

If adopted, this change will lead to smaller trains being able to transit the tunnel.

If implemented using remainders of Euclidean division rather than subtractions, Euclid's algorithm computes the GCD of large numbers efficiently: it never requires more division steps than five times the number of digits ( base 10 ) of the smaller integer.

If we reduce the larger number by subtracting the smaller one from it, the greatest common divisor does not change.

If a is smaller than b, the first step of the algorithm swaps the numbers.

If a map contains a reducible configuration, then the map can be reduced to a smaller map.

If there is insufficient kinetic energy, however, the group may evolve into a smaller number of galaxies through mergers.

If only because there was a much smaller number of skilled artists, the quantity of icons, in the sense of panel paintings, was much smaller in the West, and in most Western settings a single diptych as an altarpiece, or in a domestic room, probably stood in place of the larger collections typical of Orthodox " icon corners ".

If some messages come out smaller, at least one must come out larger.

If repeated impulses are administered ( two per second or 2 Hz ), it is normal for CMAP amplitudes to become smaller as the acetylcholine in the motor end plate is depleted.

If Jews are identified as a religious body in a controversy that comes before a national or international tribunal, it is obviously compatible with the goal of human dignity to protect freedom of worship.

If the net force on some body is directed always toward some fixed point, the center, then there is no torque on the body with respect to the center, and so the angular momentum of the body about the center is constant.

If an opponent tries to anticipate the stroke, he may move in the wrong direction and may be unable to change his body momentum in time to reach the shuttlecock.

If the rider is sitting upright, the rider's body creates about 75 % of the total drag of the bicycle / rider combination.

If a fighter is knocked down during the fight, determined by whether the boxer touches the canvas floor of the ring with any part of their body other than the feet as a result of the opponent's punch and not a slip, as determined by the referee, the referee begins counting until the fighter returns to his or her feet and can continue.

If there is a sense in which a card game can have an " official " set of rules, it is when that card game has an " official " governing body.

** Mind Transferral: If Xavier were to die, he could transfer his mind and powers to a host body.

If the soldier should die, one side is removed and kept for the army's official records, while the other side is left attached to the body.

If the body is not homogeneous, then the density is a function of the position.

If the XML document type declaration includes any SYSTEM identifier for the external subset, it can't be safely processed as standalone: the URI should be retrieved, otherwise there may be unknown named character entities whose definition may be needed to correctly parse the effective XML syntax in the internal subset or in the document body ( the XML syntax parsing is normally performed after the substitution of all named entities, excluding the five entities that are predefined in XML and that are implicitly substituted after parsing the XML document into lexical tokens ).

If a body electrified in any manner whatever behaves as the glass does, that is, if it repels the glass and attracts the resin, the body is said to be ' vitreously ' electrified, and if it attracts the glass and repels the resin it is said to be ' resinously ' electrified.

If the surgery is performed on very young patients ( 2 – 5 years old ), the remaining hemisphere may acquire some rudimentary motor control of the ipsilateral body ; in older patients, paralysis results on the side of the body opposite to the part of the brain that was removed.

If there is too much thyroid hormone, every function of the body tends to speed up.

If a Hydra is alarmed or attacked, the tentacles can be retracted to small buds, and the body column itself can be retracted to a small gelatinous sphere.

If this unity is broken, if only the body is satisfied, love becomes a commodity.

If these ends could not be immediately achieved, then an international body attached to the League of Nations should enact and enforce legislation to protect workers and trade unions.

If acceleration can be felt by a body as the force ( hence pressure ) exerted by the object bringing about the acceleration on the body, jerk can be felt as the change in this pressure.

" Similarly, after the death by dehydration of Verity Linn, whose body was found in a tent with little but a sleeping bag, her clothing, and one of Jasmuheen's books, Jasmuheen wrote " If you haven't found the light that will nourish you, you may have the intention to become a breatharian, but in fact you may be putting yourself through food deprivation.