If only layer C changes, we should find a way to avoid re-blending all of the layers when computing F. Without any special considerations, four full-image blends would need to occur.

Without a manned mission to Mars, the need for a nuclear thermal rocket was unclear.

Eleni V. Antoniadou, Head of the Biosciences Department at Transplants Without Donors LLC, mentioned in her talk at the 2012 Annual Meeting of the Regenerative Medicine and Tissue Engineering Society the following: " From a humanistic standpoint, the major aim of creating artificial organs is to give an end to the human organ trafficking, a transnational organized crime, that is rising in third world countries and has become a lucrative facet of economic development by annihilating the need for real organs.

The Actuaries Without Borders Section ( AWB ) was also founded in 2003 to link situations in need of actuarial skills with financial resources and with actuarial volunteers to meet those needs.

Without a crew or CSM, there was no need for a launch escape system.

Without apologising for the remarks, Schreyer said he supported same-sex marriage as the existing legislation did not force religious institutions to marry same-sex couples, and added: " It was 19 years ago, and I didn't even for a split second suggest that there was no need to ensure that there was equal protection of the law with respect to the people who are homosexual.

Without any need to worry, the emperor was pleased.

* Without the need for receptors to recognize chemical messengers, signal transmission at electrical synapses is more rapid than that which occurs across chemical synapses, the predominant kind of junctions between neurons.

Without the Pif1 helicase, the flaps would not become long enough to need cleavage by Dna2.

Without ever having met Bob, Alice may need to obtain a key to use to encrypt messages to him.

Without iron supplementation, iron deficiency anemia occurs in many pregnant women because their iron stores need to serve their own increased blood volume as well as be a source of hemoglobin for the growing fetus.

Without this named pipe one would need to write out the entire uncompressed version of file. gz before loading it into MySQL.

According to Milos and Donna Macris, " The need to defend the baby's right to a peaceful beginning was brought to light by Dr. Frederick Leboyer in his landmark work, Birth Without Violence ".

Chapter 7, entitled " The Room Without a Name " spoke of the need in modern life for a new " biggest room in the house " that would serve the the social and recreational needs of the entire family, allowing activities that would not be permitted in the living room.

Without any need for remedial classes, they have more opportunities for electives.

Without either of these two conditions, there is no need for signals as the problem is merely one of communication.

Without Marie, Webb has stated clearly he will kill the impostor, whom Havland and MacAllister need to track down Yang.

Without the many and almost non-stop dredging operations world wide, much of the world's commerce would be impaired, often within a few months, since much of world's goods travel by ship, and need to access harbours or seas via channels.

Without Soviet supplies, it was estimated that Germany would need to find substitutes for approximately 165, 000 tons of manganese and almost 2 million tons of oil per year.

Without fiber in the diet, they may need to have their anal glands expressed.

Without history or context, the word creates a siege mentality in which ' we ' need to guard against ' them.

Without the need for a conventional engine block and transmission system coupled to the steering column and pedals through mechanical linkage, the car's power system and single electric motor are built into a flat skateboard configuration.

Without the need for line flushing, pigging offers the additional advantage of a much more rapid and reliable product changeover.

Without pretreatment the seeds normally germinate within six weeks whereas extracted seeds only need one week to germinate

Without any regard for rest-room protocol, the hulking stranger almost knocked Herford off his pins.

Without a great acceleration in the metropolitan area's economy, there will not be sufficient jobs for the growing numbers of youngsters, and St. Louis will slip into second-class status.

Without exception Hino's brothers turned to either one or both of their father's occupations, but Hino showed a talent for neither and instead spent most of his time on the beach where he repaired nets and proved immensely popular as a storyteller.

A true university, like most successful marriages, is a unity of diversities Without forcing all components into a single pattern, the preparation of a master plan is an opportunity to consider interrelation of knowledge at its highest level, which a university -- in contrast to a multiversity -- should stand for.

Without losing the distinctive undertow of Brahmsian rhythm, the pacing is firm and the over-all performance has a tightly knit quality that makes for maximum cumulative effect.

Without math the men who are continually seeking the causes of and the reasons for the many things that make the world go 'round would not have any means of analyzing, standardizing, and communicating the things they discover and learn.

Without warning, without giving her a chance to prepare for it.

Without dissent, senators passed a bill by Sen. A. R. Schwartz of Galveston authorizing establishment in the future of a school for the mentally retarded in the Gulf Coast district.

`` Without any officious and improper interference on the subject, the price of labor or the wages of mechanics will be regulated by the demand for the manufactured article and the value of that which is paid for it ; ;

Without the axiom of choice, these theorems may not hold for mathematical objects of large cardinality.

Without such precautions, most programs may compile only on a certain platform or with a particular compiler, due, for example, to the use of non-standard libraries, such as GUI libraries, or to the reliance on compiler-or platform-specific attributes such as the exact size of certain data types and byte endianness.

The following year, he won the Parents Without Partners Exemplary Service Award for 1972.

Without nurturing feelings of the heart a subtle form of anxiety arises which results in the self reaching out for experience.

Without it, a panel of experts set up to ‘ rationalise production ’, likely closely linked to the cobblers for expertise, would tend to support the cobblers interests in a ‘ conspiracy against the public ’.

Without the price system to match consumer utility to incentives for production, or even indicate those utilities " without providing incentives ", state planners are much less likely to invest in new ideas to satisfy consumers ' desires.

* Grammy Awards of 2002, Best New Age Album for A Day Without Rain

Without ambiguity, for all in, we denote by the unique inverse of.

Without it, democracy loses any tie ─ argumentative or practical ─ to a coherent design of public policy endeavoring to provide the resources for the realization of democratic citizenship.

Without his approval, he became the first African American nominated for Vice President of the United States as the running mate of Victoria Woodhull on the impracticable and small Equal Rights Party ticket.

Without Abkhazia and South Osetia, the population in the regions controlled by the central government of Georgia was 4, 321, 500 in 2005 and 4, 382, 100 in 2008 ( compare the 2008 figure with the CIA estimate of 4, 630, 841 for all of Georgia, including Abkhazia and South Osetia ).

Without access to cheap Indian saltpeter ( controlled by the British ), for hundreds of years France had relied on saltpetermen with royal warrants, the droit de fouille or " right to dig ", to seize nitrous-containing soil and demolished walls of barnyards, without compensation to the owners.

Dennis R. Hoagland and Daniel I. Arnon wrote a classic 1938 agricultural bulletin, The Water Culture Method for Growing Plants Without Soil, debunking the exaggerated claims made about hydroponics.

Without doubt Joseph is torn to pieces .” He rent his clothes and put sackcloth around his waist mourning for days.

Without it, democracy loses any tie ─ argumentative or practical ─ to a coherent design of public policy endeavoring to provide the resources for the realization of democratic citizenship.