If a scene is to look relatively realistic and predictable under virtual lighting, the rendering software should solve the rendering equation.

If he sometimes seems to approach the symbolic view, at other times he comes very close to a strong realistic doctrine.

If x and y are results of measurements that contain measurement error, the realistic limits on the correlation coefficient are not − 1 to + 1 but a smaller range.

( If each square represents 10 metre instead, the size of the track and the maximum acceleration will be more realistic.

If one inserts a more realistic barrier model into the simplest form of the Schrödinger equation, then an awkward mathematical problem arises over the resulting differential equation: it is known to be mathematically impossible in principle to solve this equation exactly in terms of the usual functions of mathematical physics, or in any simple way.

If you are going to run a successful football club you need two qualities: you need to be realistic and you need a plan.

If we make realistic ( wave-based ) assumptions regarding the behaviour of light on encountering polarisers and photodetectors, we find that we are not compelled to accept that the probability of detection will reflect Malus ' Law exactly.

If Uncle Sugar, Russia, and Britain united strongly in their endeavor to bring about a coalition of these two political parties Kuomintang and the Chinese Communist Party in China by coercing both sides to make realistic concessions, serious post-war disturbance may be averted and timely effective military employment of all Chinese may be obtained against the Japanese.

" Redding adds, " If you watch this incredible episode and don't recognize it as great TV, you're hopeless ... A ' fantasy ' show delivers the most stark and realistic take on death I've ever seen, deftly depicting how a loved one who dies suddenly becomes ' the body '.

* If the defendant knows that the owner will not sell the property, so takes the property in any event but leaves a realistic sum of money by way of payment, this will be a dishonest appropriation.

If the innovative company has no realistic means of protecting its new intellectual property, it may seek to obtain a " first-mover advantage " by waiting until the company or its products are ready to sell before they are announced.

If normal mapping is used, each polygon has many face normals ( the direction a given point on a polygon is facing ), which can be used in tandem with an environment map to produce a more realistic reflection.

If you think what happens to the body after death is unlikely, try the more ' realistic ' P. D.

“ If our goals are unrealistic, narrow, and short sighted, world problems will lead to catastrophes, while if they are realistic and farsighted, new horizons of need fulfilment and peace can open for the world community.

If the resources are insufficient or absent to meet any of the goals, the particular goal will be adjusted to a more realistic level or will be replaced with a new goal.

If continuity is not a given, the converse is not necessarily true.

If transitions do not exist, then there is no proof of any continuity between A and B.

* In an issue of the What If series, Cannonball's brother Josh ( who would, in normal continuity, later become Icarus ) found and " adopted " a Sentinel.

If one does not require a ring to have a unit, then one has to add the requirement of continuity of the additive inverse, or equivalently, to define the topological ring as a ring which is a topological group ( for +) in which multiplication is continuous, too.

If something happened outside current continuity ( such as the so-called " Imaginary Stories " that were a staple of DC's Silver Age publications ), it was explained away as happening on a parallel world, a premise not dissimilar to the company's current Elseworlds imprint.

DC in particular periodically revisits the idea in major crossover storylines, such as Crisis on Infinite Earths and Infinite Crisis, where Marvel has a series called What If ... that's devoted to exploring alternative realities, which sometimes impact the " main " universe's continuity.

If recanalization proceeds it provides capillary-sized channels through the thrombus for continuity of blood flow through the entire thrombus but may not restore sufficient blood flow for the metabolic needs of the downstream tissue.

If the disturbance is not too large, the various physical quantities associated with the perturbed system ( e. g. its energy levels and eigenstates ) can, from considerations of continuity, be expressed as ' corrections ' to those of the simple system.

If f and g are germ equivalent at x, then they share all local properties, such as continuity, differentiability etc., so it makes sense to talk about a differentiable or analytic germ, etc.

Unlike its Marvel Comics counterpart What If ...?, which bases its stories on a single point of divergence from the regular continuity, most Elseworlds stories instead take place in entirely self-contained continuities, with the only connection to the canon DC continuity being the presence of familiar DC characters.

If Berossos believed in the continuity of history with patterns that repeated themselves ( i. e., cycles of events as there were cycles of the stars and planets ), a bare narrative would suffice.

If and has modulus of continuity,

* If has as modulus of continuity and, then, obviously, admits too as modulus of continuity.

* If and are functions between metric spaces with moduli respectively and, then the composition map has modulus of continuity.

* If and are functions from the metric space X to the Banach space, with moduli respectively and, then any linear combination has modulus of continuity.

* If and are bounded real-valued functions on the metric space, with moduli respectively and, then the pointwise product has modulus of continuity.

* If is a family of real-valued functions on the metric space with common modulus of continuity, then the inferior envelope, respectively, the superior envelope, is a real-valued function with modulus of continuity, provided it is finite valued at every point.

If the pericycle is superficial and the cortex is retained either the endodermis is stretched or crushed or it keeps pace with the expansion of the vascular cylinder by radial anticlinal divisions, the new walls developing Casparian strips in continuity with the old ones.

Thus, boundedness of T < sup >∗</ sup > on its domain does not imply boundedness of T. On the other hand, if T < sup >∗</ sup > is defined on the whole space then T is bounded on its domain and therefore can be extended by continuity to a bounded operator on the whole space .< ref > Proof: being closed, the everywhere defined T < sup >∗</ sup > is bounded, which implies boundedness of T < sup >∗∗</ sup >, the latter being the closure of T. See also for the case of everywhere defined T .</ ref > If the domain of T < sup >∗</ sup > is dense, then it has its adjoint T < sup >∗∗</ sup >.

If this was indeed Grant, it may indicate that as far as the Big Finish continuity is concerned, he was written out of history.

If that was Sam, it may indicate that, as far as the Big Finish continuity is concerned, she was written out of history.

If Coleridge's dream did originate ideas within the poem, then the dreams are related to those experienced by contemporary opium eaters and writers, Thomas de Quincey and Charles Pierre Baudelaire.

If individuals touch their heads together before falling asleep they can “ share dreams .”

If family aumakua, these manifestations were not harmed or eaten ; in turn, aumakua warned and reprimanded in dreams, visions, and calls.

If the editor is male, he may have been seeking to show that men and women, rather than women alone, are responsible for the dreams and visions received in the narrative.

* If there were dreams to sell

If you can dream — and not make dreams your master ;

If this budget is enacted, NASA will no longer be an agency of innovation and hard science ; it will be the agency of pipe dreams and fairy tales.

If Ulysses is the story of a day, Finnegans Wake is a night epic, partaking in the logic of dreams and written in an invented language which parodies English, Irish and Latin and is called Joycespeak, deemed virtually unreadable at the time of its release, it became a cult classic with the emergence of the beat generation, particularly William S. Burroughs, in the 1950s and 1960s.

" Shelby argues further, " If this budget is enacted, NASA will no longer be an agency of innovation and hard science ; it will be the agency of pipe dreams and fairy tales.

If the rising sun, it means the hope, dreams and visions for progress.

If there is some connection between dreams and life then all is well.

Some of his short pieces – e. g.: " If there were dreams to sell ," ( Dream-Pedlary ) and " If thou wilt ease thine heart ," ( Death's Jest-Book, Act II ) – are masterpieces of intense feeling exquisitely expressed.

Yalding was a favourite of Edith Nesbit, author of The Railway Children, who wrote in the 1920s: " The Medway just above the Anchor ( at Yalding, Kent ) is a river of dreams ... If you go to Yalding you may stay at the George and be comfortable in a little village that owns a haunted churchyard, a fine church, and one of the most beautiful bridges in Europe.

The album takes its name from a line in " Mrs. Potter's Lullaby ": " If dreams are like movies, then memories are films about ghosts.

If Thunder Bay thought 2007 was good, then 2008 was beyond their wildest dreams.

Wyeth ’ s fascination with island life is revealed in its more disturbing form in If Once You Have Slept on an Island ( 1996 ) which depicts a young woman sitting on a tousled bed who appears sad and exhausted from wild dreams.

If a person dreams about visiting London and meeting Gordon Brown, it does not follow that because the city of London and Gordon Brown appeared in a dream, they do not exist in real life.

:" If a prophet, or one who foretells by dreams, appears among you and announces to you a miraculous sign or wonder, and if the sign or wonder of which he has spoken takes place, and he says, ' Let us follow other gods ' ( gods you have not known ) ' and let us worship them ,' you must not listen to the words of that prophet or dreamer.

He speaks about this at length in the liner notes: " If you're wondering where Scatland is, you don't have to look too far ; it's between your deepest dreams and warmest wishes ".