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1 дифференциальное уравнение высшего порядка
Mathematics: differential equation of higher orderУниверсальный русско-английский словарь > дифференциальное уравнение высшего порядка
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2 порядка
1) in the order of
2) of the order of
– код порядка числа
– шестого порядка
близость нулевого порядка — proximity of zero order
более высокого порядка или степени — higher
величина порядка малости — order infinitesimal
вычисление с точностью до порядка — order-of-magnitude computation
дифференциал второго порядка — second differential
имеющая N-1-кратную точку линия N-го порядка — monoid
интеграл дробного порядка — fractional integral
кратный корень порядка — multiple root of order
кривая второго порядка — <geom.> point conic, quadratic curve
кривая высшего порядка — higher plane curve
кривая третьего порядка — cubic
малая порядка н — <math.> infinitesimal of order n
малость порядка н — n-order infinitesimal
мода высшего порядка — higher-order mode
параметр ближнего порядка — short-range order parameter
параметр дальнего порядка — long-range order parameter
поверхность второго порядка невырождающаяся — <geom.> conicoid
поверхность втоторого порядка — surface of second order
поверхность пятого порядка — quintic
поверхность четвертого порядка — quartic
приближение нулевого порядка — zero-order approximation
производная второго порядка — second-order derivative
производная высшего порядка — higher derivative
производная дробного порядка — fractional derivative
реакция нулевого порядка — zero-order reaction
реакция первого порядка — first-order reaction
смешанный момент второго порядка — <math.> covariance
соприкосновение выше первого порядка — superosculation
уравнение первого порядка — first-order equation
фокусировка высокого порядка — high-order focusing
характеристическое уравнение поверхности второго порядка — discriminating cubic
член более высокого порядка — higher-order term
эквиангармоническая кривая третьего порядка — equianharmonic cubic
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3 Определенные артикли перед существительными, которые снабжены ссылками
The differential problem (1) can be reduced to the form (2)The asymptotic formula (1) follows from the above lemmaThe differential equation (1) can be solved numericallyWhat is needed in the final result is a simple bound on quantities of the form (1)The inequality (1) (артикль можно опустить) shows that $a>b$The bound (estimate) (2) is not quite as good as the bound (estimate) (1)If the norm of $A$ satisfies the restriction (1), then by the estimate (2) this term is less than unitySince the spectral radius of $A$ belongs to the region (1), this iterative method converges for any initial guessesThe array (1) is called the matrix representing the linear transformation of $f$It should be noted that the approximate inequality (1) bounds only the absolute error in $x$The inequality (1) shows that...The second step in our analysis is to substitute the forms (1) and (2) into this equation and simplify it by dropping higher-order termsFor small $ze$ the approximation (1) is very good indeedA matrix of the form (1), in which some eigenvalue appears in more than one block, is called a derogatory matrixThe relation between limits and norms is suggested by the equivalence (1)For this reason the matrix norm (1) is seldom encountered in the literatureTo establish the inequality (1) from the definition (2)Our conclusion agrees with the estimate (1)The characterization is established in almost the same way as the results of Theorem 1, except that the relations (1) and (2) take place in the eigenvalue-eigenvector relation...This vector satisfies the differential equation (1)The Euclidean vector norm (2) satisfies the properties (1)The bound (1) ensures only that these elements are small compared with the largest element of $A$There is some terminology associated with the system (1) and the matrix equation (2)A unique solution expressible in the form (1) restricts the dimensions of $A$The factorization (1) is called the $LU$-factorizationIt is very uncommon for the condition (1) to be violatedThe relation (1) guarantees that the computed solution gives very small residualThis conclusion follows from the assumptions (1) and (2)The factor (1) introduced in relation (2) is now equal to 2The inequalities (1) are still adequateWe use this result without explicitly referring to the restriction (1)Русско-английский словарь по прикладной математике и механике > Определенные артикли перед существительными, которые снабжены ссылками
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