If sets of statistical moments are known:

If you have problems figuring out the centroid equation, remember that a centroid is defined by summing all the moments ( location times mass ) around the center of gravity and equating the sum to zero.

" If one has a living person inhale this liquid when it is at its highest degree of concentration, the body of the patient for a few moments becomes as light as a balloon ," Robert-Houdin claimed.

If all mental properties supervene only upon some physical properties at durationless moments, then it may be difficult to explain our experience of duration.

If the nth moment about any point exists, so does ( n − 1 ) th moment, and all lower-order moments, about every point.

If the molecular formula is known, then educated guesses can be made of the possible structure, and, from this guessed structure, the moments of inertia can be calculated.

If the calculated moments of inertia agree well with the measured moments of inertia, then the structure can be said to have been determined.

If the time limit was nearly up on a task, he would often give them a few moments extra, or tell them if they started before the Clock ran out and succeeded in that attempt, he would count it.

If we now take in isolation that to which all the preceding moments refer, i. e., that which we now have immediately before us, we end up with ( c ) the One.

" If no second is obtained within a few moments of proposing the motion, then the motion is not considered by the assembly, and is treated as though it was never offered ( although it is recorded in the minutes ).

If the receiver were to sample this signal at the correct moments, the resulting binary message would possibly belie the original transmitted one.

If the moments are exactly opposed, the magnet has no remanence.

O ' Brien himself addressed the poor ratings of the show on the December 13, 2011 episode ( preceded by an hour show of the best moments from his first year at TBS ), stating " If you're watching right now, you're either a huge fan or you lost the remote.

If a person could not recall what they had said moments after they had said it could they really be considered conscious?

If there are more instruments than there are covariates in the equation of interest so that Z is a T × M matrix with M > K, the generalized method of moments can be used and the resulting IV estimator is

" Strachan quotes Homer's description of the television program Do Shut Up to Bart: " If they're not having a go with a bird, they're having a row with a wanker ," as one of the funniest moments in the episode.

If the fibers are first aligned by combing them and then the spinner uses a worsted type drafting method such as the short forward draw, the yarn is smoother and called a worsted ; by contrast, if the fibers are carded but not combed and the spinner uses a woolen drafting method such as the long backward draw, the yarn is fuzzier and called woolen-spun.

If all the dipoles in a piece of ferromagnetic material are aligned parallel, it creates a large magnetic field extending into the space around it.

If the transverse axis of any hyperbola is aligned with the x-axis of a Cartesian coordinate system and is centered on the origin, the equation of the hyperbola can be written as

If the fibers are first aligned by combing them, the yarn is smoother and called a worsted ; by contrast, if the fibers are carded but not combed, the yarn is fuzzier and called woolen-spun.

If this happens, the resulting lever angle created will not be as effective as if aligned with the oarlock or slightly behind it.

If the domains are also aligned, the solid is a permanent magnet, which is magnetic even in the absence of an external magnetic field.

If the polarization of the input light is not aligned with the stress direction in the fiber, the output will vary between linear and circular polarization ( and generally will be elliptically polarized ).

If the three arguments of a typical ditransitive verb are labeled D ( for Donor ; the subject of a verb like " to give " in English ), T ( for Theme ; normally the direct object of ditransitive verb in English ) and R ( for Recipient, normally the indirect object in English ), these can be aligned with the Agent and Patient of monotransitive verbs and the Subject of intransitive verbs in several ways, which are not predicted by whether the language is accusative, ergative, or active.

If we expect them to be aligned oppositely, the results are all-1.

If a particle can have some discrete orientations of the spin, say the spin can be aligned with the z axis or against it, then the particle can have any state of the form:

If you put the two scales together with zero points aligned then the first mark on the vernier scale will be one tenth short of the first main scale mark, the second two tenths short and so on up to the ninth mark which would be misaligned by nine tenths.

Prior to any measurements being made, the polarizations of the photons are indeterminate ; If a measurement is made on one of the photons using a two-channel polarizer aligned with the axes of the coordinate system, the photon assumes either horizontal or vertical polarization, with 50 % probability for each orientation, and the other two photons immediately assume the identical polarization.

If this causes three or more other symbols to become aligned, they also disappear and the pile settles again.

If fins are not aligned vertically, or if pins are too close together to allow sufficient air flow between them, the efficiency of the heat sink will decline.

If the flow aloft is aligned with the direction of the sea breeze, places experiencing the sea breeze frontal passage will be benign, or fair, weather for the remainder of the day.

If aligned with a flanker, the slot receiver is usually on the line of scrimmage, and if with a split end, off the line of scrimmage.

If the aircraft was properly aligned with the target on the bomb run, the difference between the range and target angles would be continually reduced, eventually to zero ( within the accuracy of the mechanisms ).

If the wheels are not aligned in the direction of travel when traction is suddenly restored and the rear-tire stops slipping then a highside is likely, depending on how much the bike is turned across the direction of travel and how fast the bike is traveling when the rear tire stops slipping.

If not built level, or if kicked too hard, the marble can fall off the incline ; it can also miss the chute if not properly aligned ; the contact of the marble with the pole may fail to dislodge the ball above ; the ball may fail to propel the diver into the tub ; the movement of the tub may be insufficient to dislodge the cage ; or the cage may get stuck on the barbed pole partway down.

If the sights are not aligned correctly, then the sights should be adjusted to bring the line of sight to meet the point of impact.

If twisted while not fully aligned, it may cause the pieces diagonal to the corners to almost fully come out.

To make Turner ’ s description clearly aligned with ITU-T, the statement “ If the counter exceeds a threshold upon being incremented, the network discards the packet ” would have to be changed to something like “ If the counter would exceed a threshold to the bucket depth, T + τ, in the ITU-T description upon being incremented, the network discards the packet and the counter is not incremented ", i. e. it is only incremented when it is less than or equal to the limit value, τ, or at least T less than the bucket depth in the ITU-T description.

If the sensor is aligned to the flow such that the fringes are perpendicular to the flow direction, the electrical signal from the photodetector will then be proportional to the full particle velocity.

If some of the magnetic ions subtract from the net magnetization ( if they are partially anti-aligned ), then the material is " ferrimagnetic ".

If SR calcium stores become too high, some ions are released spontaneously through SR ryanodine receptors.

If this process happens faster than it is naturally quenched by ions recombining, the new ions multiply in successive cycles until the gas breaks down into a plasma and current flows freely in a discharge.

If the ions have high enough energy, they can knock atoms out of the material to be etched without a chemical reaction.

If one assumed that magnetopause was just a boundary between a magnetic field in a vacuum and a plasma with a weak magnetic field embedded in it, then the magnetopause would be defined by electrons and ions penetrating one gyroradius into the magnetic field domain.

If the solvent is water, hydration occurs when the charged solute ions become surrounded by water molecules.

If the gram of ions is then accelerated to 500, 000 m / s then d / dt ( mv < sub > 2 </ sub >) is ( 0. 001 kg / s ) ( 500, 000 m / s ) = 500 N.

If the ions are not mobile, as in a solid salt then electrolysis cannot occur.

If a high proportion of the solute dissociates to form free ions, the electrolyte is strong ; if most of the solute does not dissociate, the electrolyte is weak.

If nitrate is absorbed, it is first reduced to nitrite ions and then ammonium ions for incorporation into amino acids, nucleic acids, and chlorophyll.

If the voltage is large enough, essentially all electrons ( and any negative ions ) will be repelled.

If a mole of ions goes into solution ( for example, in a Daniell cell, as discussed below ) the charge through the external circuit is:

If the pH is low, the equilibrium shifts to the right: more ammonia molecules are converted into ammonium ions.

If the pH is high ( the concentration of hydrogen ions is low ), the equilibrium shifts to the left: the hydroxide ion abstracts a proton from the ammonium ion, generating ammonia.

If a poor diatomic gas quencher were introduced to the tube, the positive argon ions, during their motion toward the cathode, would have multiple collisions with the quencher gas molecules and transfer their charge and some energy to them.

If the temperature stays constant at its new value, the pyroelectric voltage gradually disappears due to leakage current ( the leakage can be due to electrons moving through the crystal, ions moving through the air, current leaking through a voltmeter attached across the crystal, etc.

If there is even a little permeability to water, ions can move through the rock and decrease the voltage difference with the mud nearby.

If the electric field is removed, the electrons move to the right, repelled by each other and attracted to the positive ions left bare on the right side.

If the composition of the same system is instead expressed in terms of ions, the number of independent components does not change.

If heavier particles are to be accelerated, ( e. g. uranium ions ), a specialized ion source is needed.

If the ionisation had been due to γ-rays originating at the surface of the Earth, the intensity of ions should have halved in 80m.

If any smoke particles pass into the chamber the ions will attach to the particles and so will be less able to carry the current.