Using these formulas, the area of any polygon can be found by dividing the polygon into triangles.

Using PET studies and word stimuli, Endel Tulving found that remembering is an automatic process.

Using the data collected by Vesto Slipher and his ( Hubble's ) assistant Milton Humason ( a former mule-driver and janitor ), Hubble and Humason found a direct relationship between a galaxy's distance and its relative speed away from the solar system.

Using mathematical rules and procedures based on properties of reducible configurations, Appel and Haken found an unavoidable set of reducible configurations, thus proving that a minimal counterexample to the four-color conjecture could not exist.

Using Huygens ' theory and the principle of superposition of waves, the complex amplitude at a further point P is found by summing the contributions from each point on the sphere of radius r < sub > 0 </ sub >.

Using a variety of specifications of the employment and unemployment equations ( using ordinary least squares vs. generalized least squares regression procedures, and linear vs. logarithmic specifications ), they found that a 10 percent increase in the minimum wage caused a 1 percent decrease in teenage employment, and no change in the teenage unemployment rate.

Using olives found lying on the ground can result in poor quality oil.

Using a 5-inch photographic camera, he manually examined over 200 three-hour exposures with a magnifying glass, and found no planets.

Using the techniques of differential calculus, the velocity and acceleration as a function of time can be found:

Using his theory, he discovered homologies showing that slightly changed body parts served different functions to meet new conditions, and he found an intermediate stage in the evolution of distinct sexes.

Using WordStar in " Nondocument Mode " was essentially the same as using a traditional text editor, but with more advanced text editing features than found in some mainframe-based editors.

Using dyes to test various plastics for leaks, they found a suitable plastic called Durex 1661½ which could be easily molded into a case.

Using these coefficients gives the Taylor polynomial of f. The Taylor polynomial of degree d is the polynomial of degree d which best approximates f, and its coefficients can be found by a generalization of the above formulas.

Using observations of the equinoxes and solstices, Hipparchus found that the length of the tropical year was 365 + 1 / 4 − 1 / 300 days, or 365. 24667 days ( Evans 1998, p. 209 ).

Using the Orient Express as a plot device came from two sources: Fleming had returned from the Istanbul conference in 1955 on the train, but found the experience drab, partly because there was no restaurant car.

Using self coloured thread enhances the sculptural nature of the stitches and enhances the details found in some of the intricate filling stitches.

Using only an unmarked straightedge and a compass, Greek mathematicians found means to divide a line into an arbitrary set of equal segments, to draw parallel lines, to bisect angles, to construct many polygons, and to construct squares of equal or twice the area of a given polygon.

Using knowledge passed from generation to generation and ingredients found in the wild near the abbey, the canons developed a unique ale, brewed only at the abbey.

Using flickr and blogs, several people engaged in ' Wondjina watching ', documenting the Wondjina graffiti they found.

Using Kramers ' law for the opacity it is found that

Using analysis of one nDNA and 2 mtDNA sequences, Moyle & Marks ( 2006 ) found one largely Asian lineage and one African group of greenbuls and bristlebills ; the Golden Greenbul seemes to be very distinct and form a group of its own.

Using recent data from a broader collection of countries, it was found that there is a positive link between GDP and well-being and no point at which wealthier countries ' subjective well-being ceases to increase.

Using a number of parameters to assess quality of life, Manchester University researchers found that typical anti-psychotics were no worse than atypical anti-psychotics.

Using meta data to index pages was found to be less than reliable, however, because the webmaster's choice of keywords in the meta tag could potentially be an inaccurate representation of the site's actual content.

Using MRI scans, Dr. Murray Stein, of the University of California, San Diego, found that when people with the disorder are shown pictures of angry faces, their amygdala-the brain's fear center-lights up with more activity than it does in people without the condition.

* Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin correlation of the ferromagnetics XY model in dimension, coupling and inverse temperature is dominated by ( i. e. has upper bound given by ) the two point correlation of the ferromagnetic Ising model in dimension, coupling and inverse temperature

Using an operating microscope, he performed coupling of vessels as small as 1. 4 mm and coined the term microsurgery.

Using the same coloring scheme of the traditional Chinese dice, every half-domino with 1 or 4 spots has those spots colored red ( for example, the 4-5 domino has four red spots and five white spots ).

Using more than one codec or encoding scheme successively can also degrade quality significantly.

Using the E-flat scheme, the major keys of E-flat, B-flat, F, C, G, D, A, and E can be reached by changing lever positions, rather than re-tuning any strings.

Using this scheme, galaxies, star clusters and other large objects have been simulated.

Using R, G, and B, one may compute hue angle using the following scheme: determine which of the six possible orderings of R, G, and B prevail, then apply the formula given in the table below.

Using this scheme, a curve that does not travel around the origin at all has winding number zero, while a curve that travels clockwise around the origin has negative winding number.

Using the traditional “ organ specific ” and “ non-organ specific ” classification scheme, many diseases have been lumped together under the autoimmune disease umbrella.

Using his position as a deceptively foolish bodyguard, Karol spies on his bosses and discovers their scheme to purchase different pieces of land that they knew were going to be targeted by big companies for development and resell for large profits.

Using an oversampling design and a modulation scheme called sigma-delta modulation ( SDM ), analog anti-aliasing filters can effectively be replaced by a digital filter.

Using a technique pioneered on Back to the Future II, another shot with a different lighting scheme was filmed.

Using an alternative scheme of classification, linguist Michael E. Krauss defines languages as " safe " if it is considered that children will probably be speaking them in 100 years ; " endangered " if children will probably not be speaking them in 100 years ( approximately 60-80 % of languages fall into this category ); and " moribund " if children are not speaking them now.

Using the famous Pickford name, he soon became involved in a scheme that allowed rich young men to pay bribes to avoid military service, as well as reportedly procuring young women for officers.

Using this scheme, the brothers collected $ 65, 000 to be used for their land speculation.

Using a partial differential equation ( PDE )- based method and solving the PDE equation by a numerical scheme, one can segment the image.

Using the IAST transliteration scheme, the name is written as Tulasīdāsa, as pronounced in Sanskrit.

Using the Hunterian transliteration scheme, it is written as Tulsidas or Tulsīdās, as pronounced in Hindi.

Using an authentication mechanism is a good way to prevent the backup scheme from being used for unauthorized activity.

Using these alternative encodings, the scheme is able to effect long-term DC-balance in the serial data stream.

Using the goal average scheme the number of goals scored is divided by the number of goals conceded.

Using the optimal decoding scheme discussed below, the bit-error rate ( BER ) of this STBC is equivalent to-branch maximal ratio combining ( MRC ).

( Using a separate key for each card even in the initial exchange, which would otherwise make this scheme secure, doesn't work since the cards are shuffled before they're returned.

Using a mapped-in page scheme, the geoRAM was much slower in operation than the DMA-driven REU cartridges ; hence, not much software other than GEOS actually supported it.