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Using and proven
Using these definitions it can be proven that in any ring a prime must be irreducible.
Using complex models for " projects " ( or rather " tasks ") spanning a few weeks has been proven to cause unnecessary costs and low maneuverability in several cases.
Using methods such as security questions are also proven to be effective in curbing posts generated by spambots, as they are usually unable to answer it upon registering.
Using the corresponding result for three primes — a special case of the six exponentials theorem that Siegel claimed to have proven — they managed to show that the quotient of two consecutive colossally abundant numbers is always either a prime or a semiprime, that is a number with just two prime factors.
Using the da Vinci Surgical System a limited numbers of myomectomies have been performed. It has not been proven that results are superior to laparoscopy.
Using chemoprophylaxis as a treatment against early signs of tuberculosis has proven to be effective.
Image: OSD Clean Fuel Initiative FT Jet Emissions Presentation Slide. jpg | Using Fischer Tropsch jet fuels have been proven to dramatically reduce particulate and other aircraft emissions

Using and chassis
Using the mid-sized Dakota pickup's chassis as a base, they built the four-door Durango SUV with seating for eight people and created a new niche.
Using the same chassis, the resupply vehicles ( RSVs ) would deliver automatic, reciprocal transfer of ammunition, data and fuel to the SPH or another RSV.
Using the expansion chassis the user could directly support floppy disks, and boot from them into CP / M ( without which the disks were not operable ).
Using the existing Holden Commodore, already based on the Opel Omega B modified chassis, journalists quickly christened it the Monaro, encouraging Holden to build it.
Using the Renault 25 chassis the suspension was derived from the Renault Medallion ( Renault 21 ).
Using their own chassis heavily inspired by the Matra MS80 but with conventional tanks, Tyrrell and Jackie Stewart easily took success in 1971.
Using far heavier materials, Dallara created an extremely strong chassis from square-section tubing which provided easy entry and exit through the doors, aided in the quietness of the car, and provided a solid platform on which to mount the body, much like the Aston Martin DB4.

Using and avoided
Using the subtractive method, these disadvantages could be avoided.
Using animals avoided the touchy racial issues which had led to the downfall of Amos ' n ' Andy.
Using charts and tables that are not based on the same datum can result in incorrect calculation of water depths and should be avoided.
Using a number of bearingless speed sensors would also involve additional cables, which should preferably be avoided for outdoor equipment because they are so susceptible to damage, for instance from flying track ballast.

Using and mechanical
Using a mechanical drill, his heroes discover a prehistoric world, called Pellucidar, 500 miles below the surface, that is lit by an inner sun.
Using a European crafts system into the late 19th century it was difficult to meet demand for products such as sewing machines and animal powered mechanical harvesters.
Using a rotated instance of the same mechanical connector as a 16-lane PCI-Express slot ( plus an x1 connector for power pins ), HTX allows development of plug-in cards that support direct access to a CPU and DMA to the system RAM.
Using a known electric field, Millikan and Fletcher could determine even the charge on oil droplets in mechanical equilibrium.
Using a whisk on certain liquids, notably cream or egg whites, can also create foams through mechanical action.
Using chain drive allowed the mechanical advantage between the drive and driven sprockets to determine the maximum speed, thereby enabling manufacturers to reduce the size of the driving wheel for safety.
Using pulleys in mechanical toys also allows to change the angle, the speed and the direction of the motion.
* Using mechanical excavators or hand tools to dig graves
Using a variety of mechanical or electrical systems, the output of the selsyns could be read to ensure proper movement had occurred ( in other words, forming a closed-loop control system ).
Using BVS and RUS to study the mechanical properties of materials is important to understanding how a material exhibiting viscoelasticity will perform.
Using his extensive organ background, Hassler stepped into the world of mechanical instrument construction and developed a clockwork organ that was later sold to Emperor Rudolf II.
Using simulations to predict mechanical and electrical behavior of these devices can help optimize NEMS device design parameters.
Using a book on mechanical statistics, he was able to infer the size of individual events going on at the same time.
Using scores of Monroe mechanical calculators and a handful of data operators, Bernhard and Eisenstadt produced a stock picking system so successful that it caught the attention of the famed academician Fischer Black of the University of Chicago.
Using a set of mechanical fixtures for both the balls and the solder paste or flux
Using a rotary hoe -- a simple, inexpensive, mechanical push-weeder -- has the advantage of aerating the soil at the same time that weeds are eliminated.
Using the same mechanical design as the Morrill or Taintor saw sets, several manufacturers repositioned the handles to be held parallel to the blade, rather than perpendicular as with the original Morrill design.

Using and problems
Using the Doctor V64 involved the solution of two problems: how to boot a game and how to save.
Using Galois theory, certain problems in field theory can be reduced to group theory, which is in some sense simpler and better understood.
Using this, it becomes relatively easy to answer such classical problems of geometry as
Using a defining vocabulary is not without its problems, and some scholars have argued that it can lead to definitions which are insufficiently precise or accurate, or that words in the list are sometimes used in non-central meanings.
Using science-based knowledge, University of Missouri Extension engages people to understand change, solve problems and make informed decisions.
Using multiple carburetors ( two or three ) always results in one carburetor feeding more cylinders than the other, which also produces running and tuning problems.
Using theory and methods drawn from such behavioral sciences as industrial / organizational psychology, industrial sociology, communication, cultural anthropology, administrative theory, organizational behavior, economics, and political science, the change agent's main function is to help the organization define and solve its own problems.
Using a plant-based color such as henna can cause problems later when trying to do a perm or permanent hair color.
Using behind the scenes footage, and narrated by Eleanor Coppola, it chronicles how production problems including bad weather, actors ' health and other issues delayed the film, increasing costs and nearly destroying the life and career of Francis Ford Coppola.
Using Newton's laws of motion, numerous 18th-century mathematicians solved many frictionless ( zero-viscosity ) flow problems.
Using a high shear in-line mixer in place of a conventional agitator or mixer can quickly solve problems of agglomeration with dry ingredients.
Using that mathematical tool Hambardzumyan resolved a number of nonlinear problems of the light diffusion.
Using AAVs can significantly reduce the amount of venting materials needed in a plumbing system, increase plumbing labor efficiency, allow greater flexibility in the layout of plumbing fixtures, and reduce long-term roof maintenance problems associated with conventional vent stack roofing penetrations.
Using the same heading more than once on a page causes problems:
Using the construction of Savitch's theorem, one can see that NL is contained in the complexity class P of problems solvable in deterministic polynomial time.
Using the drive shaft itself to control the rear track meant that the shaft could be of fixed length, avoiding the need for a sliding spline joint and its stiction problems.
Using fieldbuses and solving related problems usually requires much more education and understanding than required by simple current loop systems.
Using our definition, USTCON is trivially complete for SL ( all problems in SL reduce to it, including itself ).
Using every ounce of his experience in banking, natural flair for persuasion and business acumen, Stephen proved capable of putting together the complicated financing needed to complete the project, despite cost overruns from numerous unanticipated engineering, business and political problems.
* Using " Trackcap " bottles, which track the number of times the bottle is opened ; however, this either raises problems of informed consent or, if informed consent is obtained, influence through demand characteristics.
Using a technique dependent on a form of proof by contradiction he could give answers to problems to an arbitrary degree of accuracy, while specifying the limits within which the answer lay.
Using a weighted k-NN also significantly improves the results: the class ( or value, in regression problems ) of each of the k nearest points is multiplied by a weight proportional to the inverse of the distance between that point and the point for which the class is to be predicted.
Using this old equipment sometimes leads to plug and socket mating problems.
Using a huge clock as its logo, the chain grew to be very successful and widespread during the 1970s and 1980s, even branching out to China, but got into economic problems in the 1990s and started closing or selling restaurants.

7.443 seconds.