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1 formula
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2 арифметическая формула
arithmetic formula мат.Русско-английский научно-технический словарь Масловского > арифметическая формула
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3 арифметическая формула
Mathematics: arithmetic formulaУниверсальный русско-английский словарь > арифметическая формула
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4 Formel
f; -, -n1. formula; (Redensart) auch (set) phrase; eines Eides: wording; auf eine ( einfache) Formel bringen reduce to a simple formula; auf eine kurze Formel gebracht in a nutshell* * *die Formelformula* * *Fọr|mel ['fɔrml]f -, -nformula; (von Eid etc) wording; (= Floskel) set phraseetw auf eine Formel bringen — to reduce sth to a formula
* * *(an arrangement of signs or letters used in chemistry, arithmetic etc to express an idea briefly: the formula for water is H2O.) formula* * *For·mel<-, -n>[ˈfɔrml̩]f1. (Kürzel) formula2. (Wortlaut) wording3. (kurz gefasster Ausdruck) set phraseetw auf eine einfache \Formel bringen to reduce sth to a simple formula4. CHEM notation5. MATH formula* * *die; Formel, Formeln formulaFormel 1 — (Motorsport) Formula One
* * *auf eine (einfache) Formel bringen reduce to a simple formula;auf eine kurze Formel gebracht in a nutshell2. AUTO:* * *die; Formel, Formeln formulaFormel 1 — (Motorsport) Formula One
* * *-n f.formula n. -
5 rate of return
Finan accounting ratio of the income from an investment to the amount of the investment, used to measure financial performance.EXAMPLEThere is a basic formula that will serve most needs, at least initially:[(Current value of amount invested – Original value of amount invested) / Original value of amount invested] × 100% = rate of returnIf $1,000 in capital is invested in stock, and one year later the investment yields $1,100, the rate of return of the investment is calculated like this:[(1100 – 1000) / 1000] × 100% = 100 / 1000 × 100% = 10% rate of returnNow, assume $1,000 is invested again. One year later, the investment grows to $2,000 in value, but after another year the value of the investment falls to $1,200. The rate of return after the first year is:[(2000 – 1000) / 1000] × 100% = 100%The rate of return after the second year is:[(1200 – 2000) / 2000] × 100% = – 40%The average annual return for the two years (also known as average annual arithmetic return) can be calculated using this formula:(Rate of return for Year 1 + Rate of return for Year 2) /2 = average annual returnAccordingly:(100% + – 40%) /2 = 30%The average annual rate of return is a percentage, but one that is accurate over only a short period, so this method should be used accordingly.The geometric or compound rate of return is a better yardstick for measuring investments over the long term, and takes into account the effects of compounding. This formula is more complex and technical.The real rate of return is the annual return realized on an investment, adjusted for changes in the price due to inflation. If 10% is earned on an investment but inflation is 2%, then the real rate of return is actually 8%. -
6 Отсутствие артиклей перед существительными, которые снабжены ссылками
It follows from Theorem 1 that $x=1$Section 2 of this paper gives (contains) a concise presentation of the notation to be used belowProperty 1 is called (known as) the triangle inequalityThis assertion (statement, proposition) has been proved in part 1 (part (a)) of the (our) proofAlgorithm 1 (с большой буквы) defines elementary permutations and elementary triangle matrices of index 2Equation (1) ((the) inequality (1)) can thus be written in the (артикль обязателен) form (2)In the language of our notation, algorithm (1) (с маленькой буквы) is a stable way of computing the inner productThe only place where the algorithm can break down is in statement 3 (in Statement 3)We combine Exercises 1 and 2 to construct an algorithm for finding an approximate eigenvectorThis case is illustrated in (но не on) Figure 1The asymptotic formula (1) was proved in Example 1Corollary 1 can be used to estimate the error in the inverse of a perturbed matrixBy property 1 (by Theorem 1), this function is positive except at the zero vectorA less trivial example is given in Appendix 3Step 1 in Example 1 and steps 2 and 3 in Example 2The idea of a norm will be introduced in Chapter 4Now from statements 2 and 3 of (1), we have...All the drivers for solving linear systems are listed in Table 1 (are illustrated in Figure 1)If Algorithm 1 in four-digit arithmetic is applied to refine $x$, then we obtain...Assertion (ii) is nothing but the statement that one natural way of extending these ideas to $R^n$ is to generalize formula (1) to obtain a Euclidean length of a vectorBy property 1, this function is positive except at the zero vectorWe have seen on page 3 that set of matrices is a vector space which is essentially identical with...Equation (1) effectively gives an algorithm for using the output of Algorithm 1 to solve...Русско-английский словарь по прикладной математике и механике > Отсутствие артиклей перед существительными, которые снабжены ссылками
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