Instead of adopting the style of his teacher's natural brilliance and quick thinking, he chose magnificent calculation and deep reading.

It turns out that in a complete market with no arbitrage opportunities there is an alternative way to do this calculation: Instead of first taking the expectation and then adjusting for an investor's risk preference, one can adjust, once and for all, the probabilities of future outcomes such that they incorporate all investors ' risk premia, and then take the expectation under this new probability distribution, the risk-neutral measure.

Instead, the correct calculation uses Bayes ' theorem to take into account the prior probability of any randomly selected inhabitant in the city being a terrorist and the total probability of the bell ringing:

Instead of applying a series of filters individually, Core Image assembles a dynamic instruction pipeline so that only one calculation needs to be applied to the pixel data to achieve a cumulative effect.

Instead of an " equals " key to initiate calculation evaluation, an " EXE " ( execute ) key was provided.

Instead, an exact calculation of the transverse energies of the confined electrons has to be performed to calculate a wire's resistance.

Instead of true cinnamon, " Chinese cinnamon " ( also known as rougui, the ground bark of the cassia tree, a close relative of true cinnamon which is often sold as cinnamon ), may be used.

) Instead, the theorem states that x / ln ( x ) approximates π ( x ) in the sense that the relative error of this approximation approaches 0 as x approaches infinity.

Instead, Newton argued, it must be a result of non-inertial motion relative to space itself.

Instead of interpolating the texture coordinates directly, the coordinates are divided by their depth ( relative to the viewer ), and the reciprocal of the depth value is also interpolated and used to recover the perspective-correct coordinate.

Instead, the position of a voxel is inferred based upon its position relative to other voxels ( i. e., its position in the data structure that makes up a single volumetric image ).

Instead of willing her valuables to her children, as prescribed by the 1674 agreement, they went to the Princess of Epinoy, a distant relative.

Instead, the Nubian rulers decided to shift their capital further south from Napata to the relative safety of Meroë.

Instead, the relative clause itself takes the place of an argument in the matrix clause.

Instead, they pursued a close relative of the idea, a theme album.

Instead of points scored against an opposing team, the relative difficulty of the climb or walk is the measure of the achievement.

Instead, the Steward Pelendur gave the throne to Eärnil II, a prominent general, and a distant relative of the deceased Ondoher.

Instead, a Porro prism system was used ; it fitted sideways within the camera, with a sideways-swinging mirror, and located the viewfinder eyepiece to the left ( seen from behind ) relative to the lens centerline.

Instead, they are usually considered to be the closest relative of the Cetartiodactyla as a whole.

Instead, it represents an arbitrary quantity used to provide a relative idea of material properties.

Instead, segments are relative values in the DOS EXE file.

Instead — as Poirot has discovered from Nurse Hopkins in the course of the investigation — she is the illegitimate daughter of Laura Welman and Sir Lewis Rycroft, which made her the heiress to Mrs. Welman's estate since she was actually a closer relative than Elinor.

Instead, military action was carried out as an endeavor, with success depending mainly on the military skill of the ruler and the relative strengths of the target area and the area from which the attack was launched.

Instead, Extant was teleported by Hourman and Metron, at Atom Smasher's behest, into the seat of an airplane whose crash Kobra had caused earlier ( in his relative timestream ).

Instead, the price of cells was determined largely by the semiconductor industry ; their move to integrated circuits in the 1960s led to the availability of larger boules at lower relative prices.

Instead of pursuing a mathematics degree, Trotsky helped organize the South Russian Workers ' Union in Nikolayev in early 1897.

Instead of proving or disproving a theory, researchers in linguistic relativity now examine the interface between thought ( or cognition ), language and culture, and describe the degree and kind of interrelatedness or influence.

Instead, the conclusion of an inductive argument follows with some degree of probability.

Instead, Robertson attended the New York Theological Seminary, and was awarded a Master of Divinity degree in 1959.

Instead producers could manipulate sounds to an unprecedented degree and producers like Spector and Martin were soon creating recordings that were, in practical terms, almost impossible to realise in live performance.

Instead individuals sit professional examinations which are set at degree level standard and undertake an intense apprenticeship program.

Instead of entering the engineering workforce after earning his degree, DeLorean sold life insurance, and later worked for the Factory Equipment Corporation.

Instead, their young are called nymphs, and resemble the adults to a large degree, the final transformation involving little more than the development of functional wings ( if they are present at all ) and functioning sexual organs, with no intervening pupal stage as in holometabolous insects.

Instead of taking his degree, he continued to live with the students as their hero and leader, and formed them into a sort of army, which he commanded as their provost.

Instead of returning to Columbia to finish his medical degree, Lederberg chose to accept an offer of an assistant professorship in genetics at the University of Wisconsin – Madison.

Instead, we introduce the concept of minimum degree.

Instead they may judge their degree of control by a process that is often unreliable.

Instead, he chose the Graduate Department of Zoology at the University of Illinois where he earned his doctorate degree.

Instead of a thesis, MMin students participate in a practicum “ that specifically addresses the needs of a Christian community .” On June 27, 2011, Heritage Christian University announced that the school had been approved to offer the Master of Divinity degree.

Instead, the degree of reality-tracking ability determines how virtuous the individual's intellect is, and therefore how good one's knowledge is.

Instead, the uranium-thorium technique calculates an age from the degree to which secular equilibrium has been restored between the radioactive isotope thorium-230 and its radioactive parent uranium-234 within a sample.

Instead, having more seats increased the degree of proportionality between votes received and seats won by parties.

Instead, he earned his bachelor's degree and advanced graduate degrees in physics from George Washington University, all the while working as a physicist on contract to the Navy, and eventually for the Johns Hopkins University Applied Physics Laboratory.

Instead, it remained on that 210 degree intercept heading, until impact.

Instead, Neyland served briefly overseas in World War I, then returned returning to get his engineering degree at the Massachusetts Institute of Technology, then moving to West Point as aide-de-camp to Superintendent Douglas MacArthur.

Instead, the defendant must possess as to the attendant circumstances the degree of culpability required to commit the target offense, as specified in the elements of that offense.

Instead, she worked for the US Post Office at Richland before moving to Plains in 1920 where she was accepted as a trainee at the Wise Sanatorium before completing her nursing degree at the Grady Memorial Hospital School of Nursing in Atlanta, Georgia in 1923.

Instead of the earlier degrees of B. A and B. Sc, DESM now offers the degree of BS either in Environmental Science or in Environmental Management.

" Instead, Hasl urged prospective students to think of a law degree as a " long-term investment " because a " law degree is something that allows you to move in so many directions.