Using a little linear algebra, one can fairly easily construct approximations, which sample an arbitrary number of points to the left and a ( possibly different ) number of points to the right of the center point, for any order of derivative.

Using the above rule, we can complete the proof of Fermat's little theorem quite easily, as follows.

Using fortresses can be a good plan, but Machiavelli says he shall " blame anyone who, trusting in fortresses, thinks little of being hated by the people ".

Using two ropes runs little risk of getting tangled together, but using three significantly increases this risk.

Using the geometric product the formula is a little simpler

Using the traditional end product testing method, it was soon realized that almost all of the food manufactured was being used on testing and very little was left for actual use.

Using eigenfaces is very fast, and able to functionally operate on lots of faces in very little time.

Using underpasses as protection does little more than raise people above ground level, exposing them to higher winds and more debris.

Using don't cares can simplify decision tables, especially when a given condition has little influence on the actions to be performed.

Using portable equipment and requiring little or no set up time, the New Wave way of filmmaking presented a documentary type style.

Using this sociologically-based theory has little to no link to the benefit of psychology due to its weakness in operational definitions and weak analytical mode.

Using the bracelet and a little help from an inside ally, the group locates the source of the problem and proceed to stop it.

Using what little Energon he had left, Alpha Q recreated another victim of Unicron – Starscream.

* Zero Rotation: Using a specific type of grip & release it is possible to impart little or no rotation on the ball.

Using an extremely sharp knife or tantō, the person cuts off the portion of his left little finger above the top knuckle on the finger or the tip of the finger.

Using the powers of some animals is necessary, while others simply make things a little easier.

Using aircraft as little as possible, the whole trip lasted 5½ months.

Using fast-reacting wire-guided or radio-command missiles meant the total engagement time was kept to a minimum, as there was little or no " lock-on " time required ; the operator simply fired and adjusted the missile's flight path onto the target while it flew.

Using these chemical processes films can be ready for collection in as little as 20 minutes, depending on the machine capabilities and the operator.

Using what little resources he can scrounge up, he devises a plan to sneak back into Spengo's palace and save Marge.

Using the image projections, extensive sound design, shadowplay, brief scenes, and " little man " character ( here, a patient embodying all syphilis sufferers throughout history ) made standard by the New York Unit, Spirochete followed syphilis from its introduction in Europe in the 15th century through to the social stigma surrounding it in the 1930s.

Using the British campaign against the Atlantic slave trade as their case study, Pape and Kaufmann seek to understand why Britain would unilaterally pursue a course of action that for decades incurred costs both economic and strategic with little or no benefits gained.

Using a little spaceship, the player goes into the computer's " Inner Space " to collect the uninfected icons and stop the Inner Demon, while simultaneously improving his ship and maintaining relationships with the population of Inner Space.

* Using the Gameshark code which enables all cars to be available for purchase from the start of the game causes extra cars to become available that so far have not been found through any other method and there appears to be very little information online about these hidden cars.

Using the same dough that was used for the firm ’ s crispbread, Vitawheat, he experimented with different shapes and flavourings, and the final product was launched in time for the Christmas market in 1929.

Using a title from the Tim Burton film, in 2004 they curated A Nightmare Before Christmas as part of the occasional All Tomorrow's Parties music festival at Camber Sands.

* Using an obscure tax law to have a soup kitchen for the homeless closed down at Christmas as it is, in the words of the local vicar, ' rather ruining the Christmas atmos '.

Using his signature special effects, Gondry created a surrealistic Christmas story within the seemingly living department store, where among other things, toys come to life, suits dance, and beds can be driven like cars.

Using the magic artifacts the sons of Tuireann have gathered, Lugh leads the Tuatha Dé Danann in the Second Battle of Mag Tuireadh against the Fomorians.

Using powerful magic and swordsmanship they battle overreaching wizards, demons seeking to destroy the world, dark lords, and the occasional hapless gang of bandits.

Using their magic, the three sisters incite fear and confusion among the Fir Bolg army, conjuring " compact clouds of mist and a furious rain of fire " and allowing their enemies " neither rest nor stay for three days and nights ".

Using a magic lantern, Thomas projected a series of still images on a screen simultaneous to live performances.

Using her magic, Rita kidnaps and brainwashes a local teen whose fighting skills prove to equal that of Jason's in a martial-arts contest held in Angel Grove.

Using a special wax touched by Tommy when he was evil, Rita uses a magic Green Candle to sever Tommy's link to the Morphing Grid and slowly remove his powers, returning them to her.

Using magic counteracts the effect ; therefore with each spell cast by the witch-queen, she grows older and uglier.

Using ancient magic they transformed The Key into a human girl and placed her under the protection of the Slayer Buffy, altering the memories of the Slayer and anyone connected to her into believing the girl was Buffy's younger sister Dawn.

Using her studies into the role of witchcraft and magic in Britain during the Early Modern period as a starting point, the historian Emma Wilby examined the relationship that familiar spirits allegedly had with the witches and cunning-folk in this period.

Using a stolen magic book, they summon a dragon to strike fear into the people of Ankh-Morpork.

" Using their dark magic, he had himself transformed into the unstoppable undead Judge Death.

Using the magic belt, a tool captured from the jealous Nome King Roquat, Ozma transports them to her throne room.

Using magic to disguise herself as an old woman, Lady Claudia poisons Lily, placing her in a coma.

Using a variety of psychic powers, mixed with folk magic, the priest was able to harness the power of the stones ( which were natural magnets ) and focus negative energy, via a beam of light, through the centre of the circle towards the black hole.

Using the magic crayons she always carries with her she brings everything she draws to life, usually creating a world of chaos for her and best friend Dennis until it's either rubbed out or washed away.

Using a magic spear that rendered him immune to the music, Fionn killed the goblin.

Using a magic cloak which renders him invisible, he kills the seven stewards Bran has left in charge, while the eighth, Bran's son Caradog, dies of bewilderment at the sight of a disembodied sword killing his men.

Using a robotic decoy in suit to distract Crocker, Jimmy repairs the Big Wand so that the fairies ' magic works again and Crocker would be defeated.

Using a combination of magic and the powers of the Soulsword and Souldagger, Illyana and Pixie were able to remove one of Pixie's bloodstones.

Using the magic, Minase is able to make Rika Shiraki love him, as well as help his friend, Ayumi Murai, to get the boy she loves to love her back.

Using some personal magic, he has enslaved the Shaggy Man's brother, a miner from Colorado.

Using her magic, she brings the trees to life.

Using a spell that turned humans into statues, the enraged Kai gained the upper hand in their fight and would have killed DS, had Sean Ari not interfered and stalled her long enough for DS to find out the source god of Kai's magic ( Yng Wie, obviously a reference to the musician ) and overpower it with the power of his patron god, Black More.

) Using starships powered by a combination of magic and technology, the Wraiths entered a region of space called the " Dark Nebula " where they found a planet that orbited a black sun.