Though respected for their contributions to various academic disciplines ( respectively mathematics, linguistics, and literature ), the three men became known to the general public only by making often-controversial and disputed pronouncements on politics and public policy that would not be regarded as noteworthy if offered by a medical doctor or skilled tradesman.

Though Gauss had up to that point been financially supported by his stipend from the Duke, he doubted the security of this arrangement, and also did not believe pure mathematics to be important enough to deserve support.

" Though he was not a mathematician himself, his views on mathematics had great influence.

In 1934, she earned a Ph. D. in mathematics from Yale under the direction of Øystein Ore .< ref > Though some books, including Kurt Beyer's Grace Hopper and the Invention of the Information Age, reported that Hopper was the first woman to earn a Yale PhD in mathematics, the first of ten women prior to 1934 was Charlotte Cynthia Barnum ( 1860-1934 ).

Though he did not attend high school, the young Hoover attended night school and learned bookkeeping, typing, and mathematics.

Though it is true that mathematics finds diverse applications in many areas of research, a mathematician does not determine the value of an idea by the diversity of its applications.

Though he never attended college, Webster's father was intellectually curious and prized education ; his mother spent long hours teaching Noah and his siblings spelling, mathematics and music.

" Though he had difficulty with mathematics and languages ( possibly because Yeats was tone deaf ,) he was fascinated by biology and zoology.

Though he accepted an appointment as professor of mathematics and philosophy at Amsterdam in his twentieth year, he had already directed his attention to the study of the ancient languages.

Though he introduced history, mathematics and modern languages, he based his teaching on the classic languages.

Though interested ( and talented ) in physics and mathematics, Jacob was horrified at the prospect of spending two additional years in " an even more draconian regime " to prepare for higher study at the Polytechnique.

Though his father's sect discouraged " literary accomplishments ," Greene educated himself, with a special study of mathematics and law.

Though Fisher was not as hard working as Henry, he showed aptitude for science, mathematics, languages, art and music, inherited in part from his father's abilities.

Though at the bottom of his class, he was gifted at mathematics and won a scholarship to St Paul's School in London.

Though established as an all-male trade school, it now is a institution ( polytechnic ) that emphasizes in mathematics, the sciences, and engineering.

Though he began the study of theology to please his father, he was more strongly attracted to mathematics, which he mastered without the aid of a teacher.

Though there is a theory for von Neumann algebras on non-separable Hilbert spaces ( and indeed much of the general theory still holds in that case ) the theory is considerably simpler for algebras on separable spaces and most applications to other areas of mathematics or physics only use separable Hilbert spaces.

Though he left Trinidad in 1939 to study medicine, Rudranath Capildeo changed his course of study, focusing on applied mathematics and physics.

Though the index was not proposed as a serious method, it nevertheless has become popular in Internet discussions of whether a claim or an individual is cranky, particularly in physics ( e. g., at the Usenet newsgroup sci. physics ), or in mathematics.

Though the above story appears very widely, some critics of the story say that it cannot be correct because Canfield would have been bankrupt if this story were true, if simple mathematics is applied.

Though he badly needed to catch up with his mathematics, the insect collecting predominated along with pleasant diversions such as hillwalking, boating and fly fishing.

Though it did not address changes in the mathematics, physics, psychosocial or humanities portion of pre-medical education, the American Society for Biochemistry and Molecular Biology developed a set of pre-medical curricular recommendations.

Though intentional walks are recorded as such in the records of the official scorer, they are combined with standard, non-intentional walks when calculating a player's on-base percentage, and have only received a separate column in a player's statistics since 1955.

Though official economic statistics are not published, year 2011 estimates place the national product at $ 6. 888 billion and the world's highest per capita income is $ 186, 175.

Though it is mostly unknown to laypeople, Simpson's Paradox is well known to statisticians, and it is described in a few introductory statistics books.

Though he had little conventional schooling, he made important contributions to timekeeping as well as writing on economics and statistics and authoring a science fiction novel.

Though the guide contains a league table of UK universities compiled from various statistics, the award is not necessarily given to the university at the top ( in fact, it only has been in 2007 and 2010 ).

Though no certain statistics exist it is estimated to have killed more than 145, 000 people.

Though this bet is most commonly made with the combined score of the two teams, many other statistics can be used, including:

Though this line of thinking has been criticized for requiring the establishment of a utopian socialist society, the notion that the disproportionality observed in minority representation in crime rate statistics could be understood as the result of systematic economic disadvantage found its way into many of the theories developed in subsequent generations.

Though statistics regarding the magnitude of child trafficking are difficult to obtain, the International Labour Organization estimates that 1. 2 million children are trafficked each year.

Though his statistics reflect by modern standards as fairly ordinary, the 10 centuries he amassed throughout his entire club and first class playing career were considered " remarkable " in the context of round-arm bowling and poorly maintained cricket pitches encountered during the period.

Though these machines are early forerunners to computer engineering, the calculator failed to be a great commercial success.

Though at first seen as a data collection and outcome reporting tool, the use of computer technology in the classrooms, meeting areas, and homes continued to unfold.

Though designed strictly as a mechanism to support " natural language conversation " with a computer, ELIZA's DOCTOR script was found to be surprisingly successful in eliciting emotional responses from users who, in the course of interacting with the program, began to ascribe understanding and motivation to the program's output.

Though the exact definition varies between scholars, natural language can broadly be defined in contrast on the one hand to artificial or constructed languages, such as computer programming languages like Python and international auxiliary languages like Esperanto, and on the other hand to other communication systems in nature, such as the waggle dance of bees.

Though perhaps not technically " wearable ," in 1986 Steve Roberts built Winnebiko-II, a recumbent bicycle with on-board computer and chorded keyboard.

Though predominantly found in computer devices, DVI is also present in some consumer electronics such as television sets.

Though technically the term may be applied to art done using other media or processes and merely scanned in, it is usually reserved for art that has been non-trivially modified by a computing process ( such as a computer program, microcontroller or any electronic system capable of interpreting an input to create an output ); digitized text data and raw audio and video recordings are not usually considered digital art in themselves, but can be part of the larger project of computer art and information art.

Though the services offered vary from local branch to local branch, public libraries in Canada are not only places to read and borrow books ; they are also hubs of community services, such as early reading programs, computer access, and tutoring and literacy help for children and adults.

Though sprites have been a major component of many early video games, the modern, " mainstream " activity called " Spriting " arose with the advent of widely-available computer graphics programs capable of editing and saving raster images.

Though she possesses computer or machine like attributes, these abilities are all functions of her mutant powers.

Though standards do exist for measuring and reporting sound power output by such things as computer components, they are often ignored.

* Though not the first " questing " computer game, Adventure was the first to be programmed for a home console.

Though usually undetectable to human senses, computer scanning can be used to reveal these discrepancies, and they may explain the frequent complaint ( by some gourmets and connoisseurs ) that replicated food and beverages suffer from substandard taste.

Though Solomonoff's inductive inference is not computable, several AIXI-derived algorithms approximate it in order to make it run on a modern computer.

Though a skilled computer hacker, Frohike was primarily the photography specialist for the newsletter.

Though traditional animation is now commonly done with computers, it is important to differentiate computer-assisted traditional animation from 3D computer animation, such as Toy Story and Ice Age.

Though apparently unintelligent, this is due to heat negatively affecting the conductivity of their silicon brains, which operate in a similar fashion to computer circuits ( in essence a trollish form of hyperthermia ).

Though this type of effect is now often created through computer animation, slit-scan is a mechanical technique.

Though effective to prevent unauthorized access, this component may fail to check potentially harmful content such as computer worms or Trojans being transmitted over the network.

Though this has been so far successful only in assembling computer chips at the micro size, researchers hope to eventually be able to do it at the nanometer size for multiple products, including nanosensors.

Though the previous level specifies details of the implementation, the outputs of this stage are implementation-independent and concentrate on the requirements for the human computer interface.

Though computer projectors are technologically advanced, they are not always completely reliable because technological breakdowns are not uncommon of the computers of today.

Though early in his life he worked as a computer programmer with the IBM 360 assembly language, he has been designing games since the 1950s.