If we manage to keep track of a Bombus queen after she has left her feeding place, we may discover the snug little hideout which she has fixed up for herself when she woke up from her winter sleep.

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 x is held fixed, then the Bessel functions are entire functions of α.

If A is a fixed element of a ring ℜ, the first additional relation can also be interpreted as a Leibniz rule for the map given by B ↦.

If G is a group, and g is a fixed element of G, then the conjugation map

If a rotating frame is chosen so that just the angular position of an object is held fixed, more complicated motion, such as elliptical and open orbits, appears because the centripetal and centrifugal forces will not balance.

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.

If a display does not have the type of fixed pixels that ClearType expects, text rendered with ClearType enabled actually looks worse than type rendered without it.

If someone sees something completely different than another, our language prevents us from acknowledging the other's point of view by limiting our perception to fixed states.

:" If a period fixed by weeks, months, and years does not commence from the beginning of a week, month, or year, it ends with the ending of the day which proceeds the day of the last week, month, or year which corresponds to that on which it began to commence.

Tensor products: If C denotes the category of vector spaces over a fixed field, with linear maps as morphisms, then the tensor product defines a functor C × C → C which is covariant in both arguments.

If an equation can be put into the form f ( x ) = x, and a solution x is an attractive fixed point of the function f, then one may begin with a point x < sub > 1 </ sub > in the basin of attraction of x, and let x < sub > n + 1 </ sub > = f ( x < sub > n </ sub >) for n ≥ 1, and the sequence

( If great wealth is not diluted, the positions in society tend to be much more fixed and opportunities to make an individual success are lower.

# If G is any group acting smoothly on the manifold M, then it acts on the vector fields, and the vector space of vector fields fixed by the group is closed under the Lie bracket and therefore also forms a Lie algebra.

If two elements form more than one compound between them, then the ratios of the masses of the second element which combine with a fixed mass of the first element will be ratios of small whole numbers.

If the meteoroid maintains a fixed orientation for some time, without tumbling, it may develop a conical " nose cone " or " heat shield " shape.

If the revenue the firm is receiving is greater than its total variable cost ( R > VC ) then the firm is covering all variable cost plus there is additional revenue (" contribution "), which can be applied to fixed costs.

If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity.

If the SEM is equipped with a cold stage for cryo-microscopy, cryofixation may be used and low-temperature scanning electron microscopy performed on the cryogenically fixed specimens.

At least two assumptions are necessary for the validity of the standard model: first, that supply and demand are independent ; and second, that supply is " constrained by a fixed resource "; If these conditions do not hold, then the Marshallian model cannot be sustained.

If a traveling wave has a fixed shape that repeats in space or in time, it is a periodic wave.

If an inconsistency is encountered, the program can immediately halt, so that the bug can be located and fixed.

If the management ethos is to reward the number of bugs fixed, then some developers may quickly write sloppy code knowing they can fix the bugs later and be rewarded for it, whereas careful, perhaps " slower " developers do not get rewarded for the bugs that were never there.

If the waveform is a pure sine wave, the relationships between peak-to-peak, peak, mean, and RMS amplitudes are fixed and known, as they are for any continuous periodic wave.

If there is a fixed point, we can take that as the origin, and the affine transformation reduces to a linear transformation.

If this threefold division of costs were to have its counterpart in the actual rates of charge for service, as it actually does have in some rates, there would result a three-part rate for any one class of service.

If the farm is in an industrial area where wages are high, farm labor costs will also be high.

If the culture supports it, perhaps the economic discipline of the Lancaster school can reduce costs even further.

If the firm decides to operate, the firm will continue to produce where marginal revenue equals marginal costs because these conditions insure not only profit maximization ( loss minimization ) but also maximum contribution.

If other products are brought inside along with pests and diseases, it would damage the ecosystem seriously and add millions of costs in the local agricultural businesses.

If employers were to choose to maintain operations in South Korea, there is a possibility that they might incur higher costs in retraining or upgrading the skills of this group of middle-age workers.

If, however, a full truckload of a product is ordered to reduce transportation costs, there will be an increase in inventory holding costs which may increase total logistics costs.

If an SSTO vehicle were combined with reliable systems and lower maintenance design of a more automated nature, it could greatly reduce operational costs.

If a prisoner qualifies, a state may allow compassionate early release to avoid high costs associated with organ transplants.

If ontological commitment is thought of as a matter of the ontological costs of a theory, then it is possible that a sentence may be ontologically committed to an entity even though competent speakers of the language do not recognize the sentence as asserting the existence of that entity.

If instead, we take the opposite extreme, and assume all consumers come from the producers ' group, and also assume their only purchasing power comes from the wages earned in production and the product costs their whole wage, then the graph looks radically different.

Commercial director Duncan Reid of Ingenious explains the business savvy of the deal, saying, " If you're paying a small distribution fee and covering your own marketing costs, you enjoy the lion's share of the proceeds of the album.

If they failed, the provincial government could carry out the necessary measures and charge the costs to the landowner or municipality.

If calls are time-metered, the duration of the connection incurs costs.

If there exist external costs such as pollution, the good will be overproduced by a competitive market, as the producer does not take into account the external costs when producing the good.

If a commercial company were able to be more efficient, costs could come down significantly.

If this approach is unsuccessful, we have the power to carry out the work needed ourselves and recover our costs.

If inventory with a historical cost of $ 100 is sold for $ 115 when it costs $ 110 to replace it, the profit recorded would be $ 5 only based on replacement cost, not $ 15 ;

If no arrangements are made by the owner of such animal for payment of such costs of seizure and impoundment or the removal of such animal from the city, within a period of five days, then such peace officer may arrange for such animal to be destroyed in a humane manner.

This comprehensive study indicating, among other things, that transport deregulation reduced distribution costs in the United States from about 14 % of gross domestic product to under 11 % ( If this measure is selected, current dollar savings can be calculated by multiplying current GDP by @ 3 %).< sup > in article </ sup >