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history and discrete
Stephen Breyer, a U. S. Supreme Court Justice since 1994, divides the history of administrative law in the United States into six discrete periods, according to his book, Administrative Law & Regulatory Policy ( 3d Ed., 1992 ):
The history of quantum chemistry essentially began with the 1838 discovery of cathode rays by Michael Faraday, the 1859 statement of the black body radiation problem by Gustav Kirchhoff, the 1877 suggestion by Ludwig Boltzmann that the energy states of a physical system could be discrete, and the 1900 quantum hypothesis by Max Planck that any energy radiating atomic system can theoretically be divided into a number of discrete energy elements ε such that each of these energy elements is proportional to the frequency ν with which they each individually radiate energy and a numerical value called Planck ’ s Constant.
The history of the growth, decline and resurgence of rail transport can be divided up into several discrete periods defined by the principal means of motive power used.
Treating economic history as a discrete academic discipline has been a contentious issue for many years.
Indeed, in the early history of the Earth ( about four billion years ago ) bolide impacts were almost certainly common since the solar system contained far more discrete bodies than at present.
The dance in Gayane did not follow the Petipa tradition, for example, Swan Lake, wherein the audience is treated to national dance in discrete divertissements of " dances of le salon ", in Petipa's words ; in contrast, the dance in Gayane, by force of character, is felt throughout the ballet ; it is a natural part of the people and of their history.
Where analytic philosophy tends to treat philosophy in terms of discrete problems, capable of being analyzed apart from their historical origins ( much as scientists consider the history of science inessential to scientific inquiry ), continental philosophy typically suggests that " philosophical argument cannot be divorced from the textual and contextual conditions of its historical emergence ".
The history of discrete sample analysis for the clinical laboratory began with the introduction of the " Robot Chemist " invented by Hans Baruch and introduced commercially in 1959 < sup ></ sup >.
This display follows the history of electronics in a number of discrete transitions.
The lake has been completely dry during several discrete periods of its geologic history.
Although some discrete quantum phenomena, such as atomic spectra, were observed much earlier, the Stern – Gerlach experiment allowed scientists to conduct measurements of deliberately superposed quantum states for the first time in the history of science.
The category of early computers contains the computer systems made in the early era ( i. e., the era in modern computer history defined as the period from the late 1930s to the early 1960s ) utilizing mechanical, vacuum tube, discrete transistor, or other pre-integrated circuit technology.
Within the medical record, individual medical encounters are marked by discrete summations of a patient's medical history by a physician, nurse practitioner, or physician assistant and can take several forms.
The discrete nature of a computer however, does not allow for all of history to be computed.
Particular mines were open only for discrete periods in history.

history and mathematics
He not only knew soldiering, but mathematics, history and literature as well.
In addition to mathematics and statistics, the arithmetic mean is used frequently in fields such as economics, sociology, and history, though it is used in almost every academic field to some extent.
In later life Ampère claimed that he knew as much about mathematics and science when he was eighteen as ever he knew ; but, a polymath, his reading embraced history, travels, poetry, philosophy, and the natural sciences.
From the ages of 6 to 9, Alexei was educated by his tutor Vyazemsky, but after the removal of his mother by Peter the Great to the Suzdal Intercession Convent, Alexei was confined to the care of educated foreigners, who taught him history, geography, mathematics and French.
On November 29, 1921, the trustees declared it to be the express policy of the Institute to pursue scientific research of the greatest importance and at the same time " to continue to conduct thorough courses in engineering and pure science, basing the work of these courses on exceptionally strong instruction in the fundamental sciences of mathematics, physics, and chemistry ; broadening and enriching the curriculum by a liberal amount of instruction in such subjects as English, history, and economics ; and vitalizing all the work of the Institute by the infusion in generous measure of the spirit of research.
Note that unlike Hypatia he did not study ' mathematics, philosophy and astronomy ', thus he and his followers came into conflict with the ancient University of Alexandria which pursued all forms of knowledge including science and human anatomy, politics and history according to the model inaugurated by Alexander the Great, the founder of Alexandria.
* Anders Persson The Coriolis Effect: Four centuries of conflict between common sense and mathematics, Part I: A history to 1885 History of Meteorology 2 ( 2005 )
Instructors in primary and secondary institutions are often called teachers, and they direct the education of students and might draw on many subjects like reading, writing, mathematics, science and history.
His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics ( especially geometry ) from the time of its publication until the late 19th or early 20th century.
The student should be taught such basic subjects as English, languages, history, mathematics, natural science, philosophy, and fine arts.
The area of study known as the history of mathematics is primarily an investigation into the origin of discoveries in mathematics and, to a lesser extent, an investigation into the mathematical methods and notation of the past.
Although Kurt had first excelled in languages, he later became more interested in history and mathematics.
He is a seminal figure in the history of mathematics ; if printed, his works, many of which are of fundamental interest, would occupy between 60 and 80 quarto volumes.
He studied law, history and mathematics at Graz University, and after graduating moved back to Lemberg where he became a professor.
It can refer to certain areas of literature, languages, philosophy, history, mathematics, psychology, and science.
Many mathematicians feel that to call their area a science is to downplay the importance of its aesthetic side, and its history in the traditional seven liberal arts ; others feel that to ignore its connection to the sciences is to turn a blind eye to the fact that the interface between mathematics and its applications in science and engineering has driven much development in mathematics.
ISBN 0-471-54397-7 .— A concise history of mathematics from the Concept of Number to contemporary Mathematics.
In the broad definition, the parent disciplines of musicology include history ; cultural studies and gender studies ; philosophy, aesthetics and semiotics ; ethnology and cultural anthropology ; archeology and prehistory ; psychology and sociology ; physiology and neuroscience ; acoustics and psychoacoustics ; and computer / information sciences and mathematics.
Stephenson explores subjects such as mathematics, cryptography, philosophy, currency, and the history of science.
After his father's death in 1901 Spengler attended several universities ( Munich, Berlin, and Halle ) as a private scholar, taking courses in a wide range of subjects: history, philosophy, mathematics, natural science, literature, the classics, music, and fine arts.
For example, many countries write their OBE standards so that they focus strictly on mathematics, language, science, and history, without ever referring to attitudes, social skills, or moral values.

history and has
He ascribes to the mercy of God the peace which this personal matter -- the assurance that he can physically sustain the burden of the office longer than any individual in the history of our nation has been able to do -- has brought him.
It is to say rather, I believe, that he has brought to bear on the history, the traditions, and the lore of his region a critical, skeptical mind -- the same mind which has made of him an inveterate experimenter in literary form and technique.
His own testimony is that he has read very little in the history of the South, implying that what he knows of that history has come to him orally and that he knows the world around him primarily from his own unassisted observation.
His denials of extensive reading notwithstanding, it is no doubt safe to assume that he has spent time schooling himself in Southern history and that he has gained some acquaintance with the chief literary authors who have lived in the South or have written about the South.
In short order, the general history became his most popular work and has remained, aside from his later Social history, the work most widely favored by the public.
However, as a practicing historian, he, himself, has left few clues to the amount of professional scholarship that he used when writing history.
Much criticism has been leveled at this rather forced analogy, but what is equally significant is Adams' complete acceptance of the Biblical record as `` good and trustworthy history ''.
Everything from poetry to phonetics, history to histrionics, philosophy to party games has been adapted to the turntable.
After the Griffin-Byrd political troup has completed the circuit in November in the name of a Pre-Legislative Forum, this is going to be the most politically oriented Legislature in history.
The meat cutters' union, which has a history of being one of the fairest and least corrupt in our area, represents the little corner markets as well as the large supermarkets.
He has become in this half century the grand old man of American history.
Meanwhile he has been thinking about the facts surrounding the problem, facts which he knows can never be complete, and the general background, much of which has already been lost to history.
With its history standing astride all but the very beginnings of the industrial revolution, Brown & Sharpe has become over the years a singular monument to the mechanical foresight of its founder, Joseph R. Brown, and a world-renowned synonym for precision and progress in metalworking technology.
Throughout history, the man who showed superior performance has become the commander of others -- for good or bad.
Throughout history, Poland has been the corridor through which the enemy has passed into Russia.
When all has been said, however, the big branch store remains a major break with history in the development of American retailing.

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