If **ya is the multiple secant of **zg which passes through Af and **yb is the simple secant of **zg which passes through Af, and if Af are the points in which **ya meets **zg, and if Af is the image of Af on the generator **yb, it follows that the image of the line Af is Af.

If, on the other hand, they opted for representation, it had to be representation per se -- representation as image pure and simple, without connotations ( at least, without more than schematic ones ) of the three-dimensional space in which the objects represented originally existed.

There are some passages in the writings of Irenaeus where the image of God and the similitude are sharply distinguished, so most notably in the statement: `` If the ( Holy ) Spirit is absent from the soul, such a man is indeed of an animal nature ; ;

If an alpha channel is used in an image, it is common to also multiply the color by the alpha value, to save on additional multiplications during compositing.

If an otherwise perfect wavefront is " aberrated " by piston and tilt, it will still form a perfect, aberration-free image, only shifted to a different position.

If the angle u1 is very small, O ' 1 is the Gaussian image ; and O ' 1 O ' 2 is termed the longitudinal aberration, and O ' 1R the lateral aberration of the pencils with aperture u2.

If the above errors be eliminated, the two astigmatic surfaces united, and a sharp image obtained with a wide aperture — there remains the necessity to correct the curvature of the image surface, especially when the image is to be received upon a plane surface, e. g. in photography.

If, in an unsharp image, a patch of light corresponds to an object point, the center of gravity of the patch may be regarded as the image point, this being the point where the plane receiving the image, e. g., a focusing screen, intersects the ray passing through the middle of the stop.

If a pixel-by-pixel ( image order ) approach to rendering is impractical or too slow for some task, then a primitive-by-primitive ( object order ) approach to rendering may prove useful.

If a naive rendering algorithm is used without any filtering, high frequencies in the image function will cause ugly aliasing to be present in the final image.

In It's Not Funny If I Have to Explain It, Adams recounts having been attacked for the alleged political content of his work, although in the case of one such strip ( where oil drilling kills a unicorn ) he excuses himself by saying " I just thought the image was funny.

If all layers of an image change regularly but a large number of layer still need to be composited ( such as in distributed rendering ), the commutativity of a compositing operator can still be exploited to speed up computation through parallelism even when there is no gain from pre-computation.

If the imaging surface is cleaned of contaminants and residual moisture before the second image is taken, then no image of the missing section would appear.

If is another measurable space then a function is called measurable if for every Y-measurable set, the inverse image is X-measurable i. e..

If one looks in a mirror, one's image reverses ( e. g., if one raises one's right hand, his left hand will appear to go up in the mirror ).

If U. S. officials can " help clean up his image " and lift the ban on arms sales to the Panamanian Defense Force, Noriega will "' take care of ' the Sandinista leadership for us.

If you were a man '' --

If she, Pamela, were being held responsible for his crimes, then hers must be the final act of expiation.

If someone were to drop a match in here, this place would go up like a haystack ''.

If the other pilots were worried, they did not show it.

If it were the enemy, tactically his position was correct.

If it were not for an old professor who made me read the classics I would have been stymied on what to do, and now I understand why they are classics ; ;

If it were not that I knew who it was I could have mistaken it for my Aunt so well did her clothes fit him.

If an automobile were approaching him, he would know what was required of him, even though he might not be able to act quickly enough.

If there were only darkness, all would be clear.

If there were only the mess, all would be clear ; ;

If these people were denied a voice ( do they have a moral right to a voice??

If we were creating a wholly new society, we could insist that our social, political, economic and philosophic institutions foster rather than hamper man ; ;

If living Jews were unavailable for study, the Bible was at hand.

If his scholarship and formal musicianship were not all they might have been, Mercer demonstrated at an early age that he was gifted with a remarkable ear for rhythm and dialect.

If she were not at home, Mama would see to it that a fresh white rose was there.

If the Stearns were not there, grace would be omitted.

If anything, the conservative Democrats were more opposed to Hearst than the Republicans.

If the hardships of the winter at Valley Forge were trying for healthy men, they were, of course, much more so for those not in good health.

If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

If there were no West Berlin problem, imperialist quarters would have invented an excuse for stepping up the armaments race to try to solve the internal and external problems besetting the United States and its NATO partners.

If the new Soviet series has followed the general pattern of previous Russian tests, the shots were roughly half fission and half fusion, meaning a fission yield of 30 to 40 megatons thus far.

If the Hessian troops sent here willy-nilly by the Hessian Government to fight for England in the 1770's were mercenaries, what shall we call the UN troops sent to the Congo willy-nilly by their governments to fight for the United Nations??

If the UN troops are not mercenaries then the Hessians were not mercenaries either.

If he were to go with White, he would be out there two days, not just listening in the dark at some point between here and Papa-san, but moving ever deeper into enemy land -- behind Papa-san -- itself.

If the F-plasmid that is transferred has previously been integrated into the donor ’ s genome some of the donor ’ s chromosomal DNA may also be transferred with the plasmid DNA.

where Q is the electric charge transferred through the surface over a time t. If Q and t are measured in coulombs and seconds respectively, I is in amperes.

If it is a Sunday, Boxing Day is transferred to 27 December by Royal Proclamation.

If rule over the territory was to be transferred to the kingdom, it would only " replace Israeli military rule with Jordanian military rule ... and the Palestinians want their own state ".

If the password is correct, then M releases the transferred sum to B ( 3b ), usually minus a small commission.

If there is a difference in velocity between two disks, any matter transferred between them must be accelerated by the disk accordingly.

If a photosensitive material is selectively exposed to radiation ( e. g. by masking some of the radiation ) the pattern of the radiation on the material is transferred to the material exposed, as the properties of the exposed and unexposed regions differs.

If the individual match or the team match has not ended, any unused penalty points can be transferred to the next game of that match.

If a load is connected to the secondary winding, current will flow in this winding, and electrical energy will be transferred from the primary circuit through the transformer to the load.

If the married couple had died intestate, the first decedent's unified credit is lost because everything is transferred to the spouse upon his / her death.

If the waves have the correct frequency ( or wavelength ) and polarization, their energy can be transferred to the charged particles in the plasma, which in turn collide with other plasma particles, thus increasing the temperature of the bulk plasma.

If bacteria and plasmids are mixed together, the plasmids can be transferred into the cell after electroporation.

If an archbishop resigns his see without being transferred to another, as in the case of retirement or assignment to head a department of the Roman Curia, the word " emeritus " is added to his former title, and he is called Archbishop Emeritus of his former see.

If local governments and private organizations are to carry out decentralized functions effectively, they must have an adequate level of revenues, either raised locally or transferred from the central government, as well as the authority to make decisions about expenditures.

If the source document is subsequently modified, then those text units that have not changed can be directly transferred to the new target version of the document without the need for any translator interaction.

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 the size of the transferred file is an exact multiple of the block-size, the source sends a final DATA packet containing 0 bytes of data.

If Easter Sunday or Easter Monday falls on 25 April, the Greater Litanies, which in the pre-1970 form of the Roman Rite are on that day, are transferred to the following Tuesday.

If ordinary double feasts ( referred to also as lesser doubles ) occurred with feasts of a higher rank, they could be simplified, except the octave days of some feasts and the feasts of the Doctors of the Church, which were transferred.

If the receiving process is waiting for the message, control of the CPU is transferred at the same time, without a pass through the CPU scheduler.

If the media were in the appropriate codec on the server, they only need to be transferred, but if they were recorded using a different codec, they also have to be transcoded during the transfer ( by appropriate software ).

If the resistance of the load is made larger than the resistance of the source, then efficiency is higher, since a higher percentage of the source power is transferred to the load, but the magnitude of the load power is lower since the total circuit resistance goes up.

If no external work is extracted in the process and no heat is transferred, the total energy of the gas remains the same because of the conservation of energy.