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1 Differential Equations Analysis Library
Mathematics: DEALУниверсальный русско-английский словарь > Differential Equations Analysis Library
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2 Electronic Journal of Differential Equations
Mathematics: EJDEУниверсальный русско-английский словарь > Electronic Journal of Differential Equations
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3 Internet Differential Equations Activities
University: IDEAУниверсальный русско-английский словарь > Internet Differential Equations Activities
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4 delay differential equations
Англо-русский словарь промышленной и научной лексики > delay differential equations
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5 дыферэнцыяльныя раўнанні
differential equationsБеларуска-ангельскі слоўнік матэматычных тэрмінаў і тэрміналагічных словазлучэнняў > дыферэнцыяльныя раўнанні
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6 diferencijalne jednačine
• differential equations -
7 дифференциальные уравнения
differential equationsДополнительный универсальный русско-английский словарь > дифференциальные уравнения
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8 differentiaalvergelijkingen
• differential equationsNederlands-Engels Technisch Woordenboek > differentiaalvergelijkingen
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9 diferencijalne jednadžbe
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10 дифференциальные уравнения
дифференциальные уравнения
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[ http://www.iks-media.ru/glossary/index.html?glossid=2400324]
дифференциальные уравнения
Уравнения, предназначенные для выражения соотношений не только между отдельно взятыми величинами, но и между их изменениями. Это уравнения, в той или иной форме связывающие независимые переменные (см. Аргумент функции), искомые функции и их производные. Решение (интегрирование) Д.у. заключается в отыскании функции, которая удовлетворяет этому уравнению для всех значений независимой переменной (или переменных) в определенном конечном или бесконечном интервале. Такое решение может быть проверено подстановкой. Если неизвестная функция зависит от одной независимой переменной, то Д.у. называется обыкновенным; если рассматривается функция многих переменных и в уравнении содержатся частные производные — уравнением в частных производных (с частными производными). Порядком Д.у. называется высший из порядков производных или дифференциалов, входящих в уравнение. Общий вид обыкновенного Д.у. n-го порядка: F(x, y, y?, …, y(n)) = 0. Общий вид решения обыкновенного Д.у. n-го порядка можно записать так: y = f (x, c1, c2, …, cn). Здесь c1, c2 и т.д. — произвольные постоянные (постоянные интегрирования), каждый частный набор которых дает частное решение. Таким образом, Д.у. сами по себе, без наложенных дополнительных ограничений, описывают целые классы функций. Если речь идет об обыкновенном уравнении n-го порядка (т.е. об уравнении, содержащем производную n-го порядка), то решение содержит ровно n произвольных постоянных. Для того чтобы выделить из этого класса единственное решение, обычно необходимо задать n дополнительных ограничений на функцию. Например, Д.у. позволяют определять поведение решения всюду, где оно существует, если заданы начальные условия, т.е. значения функции и ее производных в начальной точке. В огромном числе случаев законы природы и общества, управляющие теми или иными процессами, могут быть выражены в форме Д.у., а расчет течения этих процессов сводится к решению таких уравнений.
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Русско-английский словарь нормативно-технической терминологии > дифференциальные уравнения
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11 диференциално уравнение
differential equationdifferential equationsБългарски-Angleščina политехнически речник > диференциално уравнение
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12 метод дифференциальных уравнений
Русско-английский научно-технический словарь Масловского > метод дифференциальных уравнений
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13 дифференциальные уравнения движения
Русско-английский словарь по машиностроению > дифференциальные уравнения движения
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14 ecuación diferencial
f.differential equation.* * *(n.) = differential equationEx. There are, however, machines for solving differential equations - and functional and integral equations, for that matter.* * *(n.) = differential equationEx: There are, however, machines for solving differential equations - and functional and integral equations, for that matter.
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15 система дифференциальных уравнений
1. a differential equations system 2. a system of differential equations 3. a set of differential equationsiterative methods for systems of first-order differential equations - итерационные методы для систем дифференциальных уравнений первого порядка
см. также система уравненийРусско-английский словарь по численным методам интегрирования жёстких систем обыкновенных дифференциальных уравнений > система дифференциальных уравнений
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16 ecuación funcional
(n.) = functional equationEx. There are, however, machines for solving differential equations - and functional and integral equations, for that matter.* * *(n.) = functional equationEx: There are, however, machines for solving differential equations - and functional and integral equations, for that matter.
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17 ecuación integral
(n.) = integral equationEx. There are, however, machines for solving differential equations - and functional and integral equations, for that matter.* * *(n.) = integral equationEx: There are, however, machines for solving differential equations - and functional and integral equations, for that matter.
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18 Boole, George
SUBJECT AREA: Electronics and information technology[br]b. 2 November 1815 Lincoln, Englandd. 8 December 1864 Ballintemple, Coounty Cork, Ireland[br]English mathematician whose development of symbolic logic laid the foundations for the operating principles of modern computers.[br]Boole was the son of a tradesman, from whom he learned the principles of mathematics and optical-component manufacturing. From the early age of 16 he taught in a number of schools in West Yorkshire, and when only 20 he opened his own school in Lincoln. There, at the Mechanical Institute, he avidly read mathematical journals and the works of great mathematicians such as Lagrange, Laplace and Newton and began to tackle a variety of algebraic problems. This led to the publication of a constant stream of original papers in the newly launched Cambridge Mathematical Journal on topics in the fields of algebra and calculus, for which in 1844 he received the Royal Society Medal.In 1847 he wrote The Mathematical Analysis of Logic, which applied algebraic symbolism to logical forms, whereby the presence or absence of properties could be represented by binary states and combined, just like normal algebraic equations, to derive logical statements about a series of operations. This laid the foundations for the binary logic used in modern computers, which, being based on binary on-off devices, greatly depend on the use of such operations as "and", "nand" ("not and"), "or" and "nor" ("not or"), etc. Although he lacked any formal degree, this revolutionary work led to his appointment in 1849 to the Chair of Mathematics at Queen's College, Cork, where he continued his work on logic and also produce treatises on differential equations and the calculus of finite differences.[br]Principal Honours and DistinctionsRoyal Society Medal 1844. FRS 1857.BibliographyBoole's major contributions to logic available in republished form include George Boole: Investigation of the Laws of Thought, Dover Publications; George Boole: Laws of Thought, Open Court, and George Boole: Studies in Logic \& Probability, Open Court.1872, A Treatise on Differential Equations.Further ReadingW.Kneale, 1948, "Boole and the revival of logic", Mind 57:149.G.C.Smith (ed.), 1982, George Boole \& Augustus de Morgan. Correspondence 1842– 1864, Oxford University Press.—, 1985, George Boole: His Life and Work, McHale.E.T.Bell, 1937, Men of Mathematics, London: Victor Gollancz.KF -
19 nelinearne diferencijalne jednadžbe
Hrvatski-Engleski rječnik > nelinearne diferencijalne jednadžbe
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20 parcijalne diferencijalne jednadžbe
Hrvatski-Engleski rječnik > parcijalne diferencijalne jednadžbe
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