From these results, one sees that the study of linear operators on vector spaces over an algebraically closed field is essentially reduced to the study of nilpotent operators.

From behind us came the rapping of the stick and the high-pitched voices of the boys who would grow to devote their lives to rigid study and prayer.

From that work we learn that the higher education of the youth of Baghdad consisted principally in a minute and careful study of the rules and principles of grammar, and in their committing to memory the whole of the Qur ' an, a treatise or two on philology and jurisprudence, and the choicest Arabic poetry.

A study published in 2011 by the U. S. Department of Education found that " From 2000 to 2008, the percentage of undergraduates enrolled in at least one distance education class expanded from 8 percent to 20 percent, and the percentage enrolled in a distance education degree program increased from 2 percent to 4 percent.

From these hypotheses predictions about specific events are derived ( e. g., " People who study a word list while listening to vocal music will remember fewer words on a later memory test than people who study a word list in silence .").

From his court students went forth ; they in turn attracted many Jews to Hasidism, and many of them came to study in Mezritch ( Mezhirichi ) with Dov Ber personally.

* From Faith to Faith, Chapter IV-Prophecy ( A study of Isaiah of Jerusalem )

From 1972 to 1975 NASA launched the AEROS and AEROS B satellites to study the F region.

From ages 11 to 16, the young " Jemmy " Madison was sent to study under Donald Robertson, an instructor at the Innes plantation in King and Queen County, Virginia in the Tidewater region.

From then on Theremin endeavoured to study the Microcosm, in the same way he had studied the Macrocosm with his hand-built telescope.

From ancient texts to medieval maps, anything written down for study would have been done with manuscripts.

From certain contexts of the Mishnah and Talmud it can be derived that women should not study Mishnah.

From mycology arose the field of phytopathology, the study of plant diseases, and the two disciplines remain closely related because the vast majority of " plant " pathogens are fungi.

From the point of view of functional analysis, calculus is the study of two linear operators: the differential operator, and the indefinite integral operator.

From the birth of geography as a science during the Greek classical period and until the late nineteenth century with the birth of anthropogeography or Human Geography, Geography was almost exclusively a natural science: the study of location and descriptive gazetteer of all places of the known world.

From physis meaning " nature " or " origin " and-logia meaning the " study of ".

From that time, scholars began to study the ancient Roman legal texts, and to teach others what they learned from their studies.

* From the 17th century onwards, it also became possible to use the term ' theology ' to refer to study of religious ideas and teachings that are not specifically Christian ( e. g., in the phrase ' Natural Theology ' which denoted theology based on reasoning from natural facts independent of specifically Christian revelation ), or that are specific to another religion ( see below ).

From the beginning, Christian theological learning was therefore a central component in these institutions, as was the study of Church or Canon law ): universities played an important role in training people for ecclesiastical offices, in helping the church pursue the clarification and defence of its teaching, and in supporting the legal rights of the church over against secular rulers.

From 2002 the TAFE education sector has been able to offer Bachelor degrees and post-graduate diploma courses to fill niche areas, particularly vocationally focused areas of study based on industry needs.

From nearly six months of study and preparation, he had intended the work to evoke a flood, baptism, destruction, and rebirth simultaneously.

From this position Durkheim helped reform the French school system and introduced the study of social science in its curriculum.

From 1811 until his death in 1851 Lingard spent most of his life in the village of Homby near Lancaster, where he devoted himself to his study and writing.

* American Fetish-Scholarly resources for the study of SM and Fetishism in American Culture

Since the 19th century, when Karl Marx presented the theory of commodity fetishism, in Section 4, " The Fetishism of Commodities and the Secret thereof ", of the first chapter of Capital: Critique of Political Economy ( 1867 ), the constituent concepts of the theory, and their sociologic and economic explanations, have proved intellectually fertile propositions that permit the application of the theory ( interpretation, development, adaptation ) to the study, examination, and analysis of other cultural aspects of the political economy of capitalism, such as:

The study of Narcissism and the Narcissistic Defenses in the Eating Disorders was concerned with the correlation between eating pathology and narcissism.

In 2012, " ASU students ranked fifth among all public universities in National Science Foundation grants for graduate study and 11th among all universities, including the Ivy institutions.

A study published in 2012 also found that conspiracy theorists frequently believe in multiple conspiracies, even when one conspiracy contradicts the other.

However, given the rapid progress in the industry they are working on a more in depth study to be concluded in May 2012.

In a 2012 study, each star of the 100 billion or so in our Milky Way galaxy is estimated to host " on average ... at least 1. 6 planets.

A 2012 study of gravitational microlensing data collected between 2002 and 2007 concludes the proportion of stars with planets is much higher and estimates an average of 1. 6 planets orbiting between 0. 5 – 10 AU per star in the Milky Way Galaxy, the authors of this study conclude " that stars are orbited by planets as a rule, rather than the exception.

Researchers at Memorial Sloan Kettering Cancer Center in New York begin to recruit 10 participants for the study in July 2012.

NOAA conducted a new populations study in 2010-2011 ; those data will be available by 2012.

" A Quiet Opening: North Koreans in a Changing Media Environment " a study commissioned by the U. S. State Department and conducted by Intermedia and released May 10, 2012 shows that despite extremely strict regulations and draconian penalties North Koreans, particularly elite elements, have increasing access to news and other media outside the state-controlled media authorized by the government.

On July 27, 2012 engineering services provider Royal HaskoningDHV announced that the Nicaraguan government has commissioned a feasibility study to be completed early 2013 at a cost of $ 720, 000.

A 2012 study, analyzing gravitational microlensing data, estimates an average of at least 1. 6 bound planets for every star in the Milky Way.

A recent study ( 2012, draft ) attempted to recreate a real-life controlled plea bargain situation, rather than merely asking theoretical responses to a theoretical situation-a common approach in previous research.

A 2012 literature study comparing homosexuality with paraphilias confirmed that homosexuality was sufficiently dissimilar from the paraphilias as to be considered an unrelated construct.

Spitzer recanted his study in 2012, and apologized to the gay community for making unproven claims of the efficacy of reparative therapy, calling it his only professional regret.

Spitzer renounced his own study in 2012, stating " I was quite wrong in the conclusions that I made from this study.

However, this prompted the The Department for Transport to undertake a desk study in to semi-trailer trucks, which has resulted in the longer semi-trailer trial which commenced in 2012.

The U. S. National Institutes of Health currently has registered 71 clinical trials completed or underway to study use of dietary curcumin for a variety of clinical disorders ( dated September 2012 ).

In the 2012 study, lead by scientists from the University of Vermont and the USDA, a " conservative spatially adjusted model indicated that a 10 % increase in tree canopy was associated with a roughly 12 % decrease in crime .... we found that the inverse relationship continued in both contexts, but the magnitude was 40 % greater for public than for private lands.

The study was replicated in 2010, but two studies published in 2012 failed to reproduce the effect.

A 2012 Chinese study concluded that Bt cotton halved the use of pesticides and doubled the level of ladybirds, lacewings and spiders.

A long-term study on the economic impacts of Bt cotton in India, published in the Journal PNAS in 2012, showed that Bt cotton has increased yields, profits, and living standards of smallholder farmers.

According to a February 2012 study conducted by the Los Angeles Times ( sampling over 5, 000 of its 5, 765 members ), the Academy is 94 % white, 77 % male, 14 % under the age of 50, and has a median age of 62.

In 2012, a study found that 47 out of 53 medical research papers on the subject of cancer were irreproducible.

In a 2012 study, led by neuroscientists at the University of Bristol, it was discovered that a cellular mechanism known as sodium channels was playing a direct role in the changing of activity of neurons, leading to a cognitive decline of the human brain.