Measurement of Growth and Efficiency in Arithmetic [Continued]
نویسندگان
چکیده
منابع مشابه
Computer Arithmetic Based on Continued Logarithms
The paper deals with efficient hardware implementation of exact arithmetic. This kind of arithmetic represents the most convenient approach to scientific computing, but the complexity of underlying algorithms and thus the performance issues limit the set of solvable problems. We demonstrate on a particular example of continued logarithms that direct hardware implementation may help to achieve c...
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where a0 ∈ Z is such that x − a0 ∈ [0, 1), i.e. a0 = bxc, and an ∈ N for n ≥ 1. The expansion (1), abbreviated by x = [0; a1, a2, . . . , an, . . . ], is infinite if and only if x ∈ R \ Q; in case x ∈ Q—essentially due to Euclid’s algorithm—x has two finite expansions. The partial quotients an are given by (2) an = an(x) = b1/Tn−1(x)c if Tn−1(x) 6= 0, where T : [0, 1) → [0, 1) is the continued ...
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کاتالیست یک سنتز جدید برای تیواترها توصیف شده است. واکنش الکل ها با آریل، هتروآریل و آلکیل تیو ل ها درحضور 1،3،5- تری آزو- 2،4،6- تری فسفرین-2،2،4،4،6،6 هگزاکلراید ((tapc به عنوان یک کاتالیست موُثر، بازده های خوب تا عالی از تیواترها را حاصل می کند. علاوه براین، واکنش تحت شرایط بدون فلز و بدون حلال پیش می رود، بنابراین یک مکمل جالب برای روش های شناخته شده سنتز تیواترها ارائه می دهد. یک مکانیسم ا...
15 صفحه اولOn Progress of Investigations in Continued Logarithm Arithmetic
This is a work-in-progress on research of exact real arithmetic using continued fraction paradigm. We introduce a new redundant extension of continued logarithm representation, which offers the lacking real number computability. In a uniform way, we contrast this new representation with existing alternatives and using few examples we discuss their practical aspects. It follows from this compari...
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This paper introduces discretionary imprecise data in Data Envelopment Analysis (DEA) and discusses the efficiency evaluation of Decision Making Units (DMUs) with non-discretionary imprecise data. Then, suggests a method for evaluation the efficiency of DMUs with non-discretionary imprecise data. When some inputs and outputs are imprecise and non-discretionary, the DEA model becomes non-linear ...
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ژورنال
عنوان ژورنال: The Elementary School Teacher
سال: 1909
ISSN: 1545-5858
DOI: 10.1086/453936