If you hold property for the production of rents or royalties you subtract, in computing Adjusted Gross Income, ordinary and necessary expenses and certain other deductions attributable to the property.

If the artist would study his work more thoroughly and move certain units in his design, often only slightly, finer pictures would result.

If you've travelled in Europe a time or two, it is quite certain that you've had that wanting-to-be-alone feeling or that you will get it on your next visit across the Atlantic.

If, in a certain part of the range, it starts life 1 foot longer than do any of the other ( relatively large ) giants, and reaches maturity at, let us guess, 18 inches longer than the others, a quadrupling of the maturity length would result in a maximum of ( nearly ) 40 feet.

If it were not for judicial development of certain exceptions, this section would prohibit a suit for refund by an acquiring corporation for taxes paid by a transferor corporation, even though the reorganization meets the requirements of section 381(a).

Chief Moore said, `` If I don't see you when I return, see you for certain at my road block, Inspector ''.

If it was, then it must have been God's intention to translate him at a certain point from time to eternity.

If an evil which is certain and extensive and immediate may rarely be compensated for by a problematic, speculative, future good, by the same token not every present, certain, and immediate good ( or lesser evil ) that may have to be done will be outweighed by a problematic, speculative, and future evil.

If the slowing down of certain seismic waves caused by the damp spot helped uncover the underground ocean, the unusual temperature variation with depth measured in 241 inactive oil wells helped locate the subterranean river.

* 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 heat of vaporization and the vapor pressure of a liquid at a certain temperature is known, the normal boiling point can be calculated by using the Clausius-Clapeyron equation thus:

* Indivisibility of certain goods: If a person wants to buy a certain amount of another's goods, but only has for payment one indivisible unit of another good which is worth more than what the person wants to obtain, a barter transaction cannot occur.

If the bankrupt fails to lodge the document within a certain period of time, he or she can be prosecuted and fined.

If a house or car is above a certain value, the bankrupt can buy the interest back from the estate in order to keep the asset.

:: If patients fail to experience the healing power of Christian Science, and think they can be benefited by certain ordinary physical methods of medical treatment, then the Mind-physician should give up such cases, and leave invalids free to resort to whatever other systems they fancy will afford relief.

If additional solute is added to a saturated solution, it will not dissolve, except in certain circumstances, when supersaturation may occur.

If the computer controlling the display knows the exact position and color of all the subpixels on the screen, it can take advantage of this to improve the apparent resolution of the images on the screen in certain situations.

If it is assumed that social change is not only affected, but in some points of view, directed by the advancement of technology, is it ethical to hold these technologies from certain people?

If you find you have to sacrifice certain of those six things to make a cut, sacrifice your way up, item by item, from the bottom.

If the species concerned were short-lived ( in geological terms, lasting a few hundred thousand years ), then it is certain that the sediments in question were deposited within that narrow time period.

If a lock, let it have been made in whatever country, or by whatever maker, is not so inviolable as it has hitherto been deemed to be, surely it is to the interest of honest persons to know this fact, because the dishonest are tolerably certain to apply the knowledge practically ; and the spread of the knowledge is necessary to give fair play to those who might suffer by ignorance.

If the 3 generations are then put in a 3x3 hermitian matrix with certain additions for the diagonal elements then these matrices form an exceptional ( grassman -) Jordan algebra, which has the symmetry group of one of the exceptional Lie groups ( F < sub > 4 </ sub >, E < sub > 6 </ sub >, E < sub > 7 </ sub > or E < sub > 8 </ sub >) depending on the details.

If we use a cylindrical coordinate system with basis vectors, then the gradient of and the divergence of are given by

If there is one particular coordinate change that leads to a decrease in the total energy in both directions, the stationary point is a transition structure and the coordinate is the reaction coordinate.

If we are to keep a right-handed coordinate system, into the page will be in the negative z direction.

If the axes are named x, y, and z, then the x coordinate is the distance from the plane defined by the y and z axes.

If ( x, y ) are the Cartesian coordinates of a point, then (− x, y ) are the coordinates of its reflection across the second coordinate axis ( the Y axis ), as if that line were a mirror.

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 instead we use polar coordinates with the origin at one focus, with the angular coordinate still measured from the major axis, the ellipse's equation is

If the diffusion coefficient is not a constant, but depends upon the coordinate and / or concentration, Fick's Second Law yields

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 all these hold, then the coordinate systems are said to be in standard configuration.

If a coordinate is not a Cartesian coordinate, the associated generalized momentum component does not necessarily have the dimensions of linear momentum.

If the heavier body is much more massive than the smaller, as for a satellite or small moon orbiting a planet or for the Earth orbiting the Sun, it is accurate and convenient to describe the motion in a coordinate system that is centered on the heavier body, and we say that the lighter body is in orbit around the heavier.

If R = Π < sub > i in I </ sub > R < sub > i </ sub > is a product of rings, then for every i in I we have a surjective ring homomorphism p < sub > i </ sub >: R → R < sub > i </ sub > which projects the product on the i-th coordinate.

If an object moves with angular velocity ω around a circle of radius r centered at the origin of the x-y plane, then its motion along each coordinate is simple harmonic motion with amplitude r and angular frequency ω.

If the origin of the Cartesian coordinate system is taken to be at the point of suspension of the first pendulum, then the centre of mass of this pendulum is at:

If the tower is 50 m high, then the coordinate vector to the top of the tower is r =( 0 ,-50, 50 ).

If and are coordinate vector fields then and therefore the formula simplifies to

She states, " If the Palestinians agree to coordinate with Israel on the evacuation, establish the rule of law, and demonstrate a capacity to govern, the world may be convinced that finally there is a real partner for peace ".

If a point of an object has coordinates ( x, y, z ) then the image of this point ( as reflected from the mirror in y, z plane ) has coordinates (- x, y, z ) – so mirror reflection is a reversal of the coordinate axis perpendicular to the mirror's surface.

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.