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Real Numbers

An NC Algorithm for Sorting Real Numbers  in O(nlogn/√loglogn) Operations

An NC Algorithm for Sorting Real Numbers in O(nlogn/√loglogn) Operations

... n real numbers. Suppose each of the n/m lists with m real numbers in each list have already been sorted, we are to merge these n/m lists into one sorted ...

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A New Construction of Spheres Via Soft Real Numbers and Soft Points

A New Construction of Spheres Via Soft Real Numbers and Soft Points

... Spheres play an important role in the theory of soft metric spaces which is proved in this study with taking into consideration soft points. In this paper a new form of sphere is introduced that is motivated by bring ...

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Conflicts in the learning of real numbers and limits

Conflicts in the learning of real numbers and limits

... on real numbers, decimals and fractions had not been done, or had not been ...of real numbers are still in conflict, then these conflicts are likely to be ...of real numbers ...

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[Q878.Ebook] Download Ebook The Real Numbers And Real Analysis By Ethan D Bloch.pdf

[Q878.Ebook] Download Ebook The Real Numbers And Real Analysis By Ethan D Bloch.pdf

... The Real Numbers And Real Analysis By Ethan ...The Real Numbers And Real Analysis By Ethan ...The Real Numbers And Real Analysis By Ethan ...The Real ...

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On some properties of the Lüroth type alternating series representations for real numbers

On some properties of the Lüroth type alternating series representations for real numbers

... A lot of research has been carried out into the ergodic properties of the denomina- tors in the Lüroth expansions of real numbers in (0, 1). In particular, it was studied in- dependently by Šalát [9] and ...

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Efficient  Parallel  Binary  Operations  on  Homomorphic  Encrypted  Real  Numbers

Efficient Parallel Binary Operations on Homomorphic Encrypted Real Numbers

... are real numbers and a competitive speed-up is achieved compared to more specialised existing schemes through flexible primi- tive circuit design, SIMD batching of densely packed ciphertexts, and a ...

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Inequalities involving the mean and the standard deviation of nonnegative real numbers

Inequalities involving the mean and the standard deviation of nonnegative real numbers

... INEQUALITIES INVOLVING THE MEAN AND THE STANDARD DEVIATION OF NONNEGATIVE REAL NUMBERS OSCAR ROJO Received 22 December 2005; Revised 18 August 2006; Accepted 21 September 2006.. This is [r] ...

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Summation identities for representation of certain real numbers

Summation identities for representation of certain real numbers

... of real numbers. In this paper, we call these identities “real number ...identities.” Real number identities are interesting for various ...formulate real number ...represent ...

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Transformation-Based  Outsourcing  of  Linear  Equation  Systems  over  Real  Numbers

Transformation-Based Outsourcing of Linear Equation Systems over Real Numbers

... Hiding affine transformations have been proposed for various linear algebra tasks [9], including solving linear equation systems. Even though the security of these transfor- mations was proved for finite fields in [9], ...

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An NC Algorithm for Sorting Real Numbers in  O(nlogn/√loglogn) Operations

An NC Algorithm for Sorting Real Numbers in O(nlogn/√loglogn) Operations

... convert real numbers to integers for sorting purpose and he showed that real numbers can be sorted in O n ( log n ) time ...sorting real numbers to below O n ( log n ) , as in ...

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7G Slides Ch 7 Real Numbers and Pythagorean Theorem.ppt

7G Slides Ch 7 Real Numbers and Pythagorean Theorem.ppt

... • Each positive number actually has two square roots, a positive number and its opposite negative number.... Which Square Root is it.[r] ...

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R"- {a) set of real numbers

R"- {a) set of real numbers

... (A median is a straight line drawn from a vertex of a triangle to the midpoint of the opposite side.) b The perpendicular bisectors of the sides of a triangle are concurrent and meet [r] ...

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M2 Real Numbers and Integer Exponents.pdf

M2 Real Numbers and Integer Exponents.pdf

... 3 Use the laws of integer exponents to simplify expressions.[r] ...

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Two constructions of the real numbers via alternating series

Two constructions of the real numbers via alternating series

... form ordered fields E* and By standard theorems, treated for example in form concrete and Chapter 5 of Cohen and Ehrlich [7], it then follows that The models are in many ways equivalent [r] ...

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Six Fractal Codes of Biological Life:perspectives in Exobiology, Cancers Basic Research and Artificial Intelligence Biomimetism Decisions Making

Six Fractal Codes of Biological Life:perspectives in Exobiology, Cancers Basic Research and Artificial Intelligence Biomimetism Decisions Making

... of numbers, so different as real numbers and ...of real numbers of atomic masses to the discrete universe of integers encoding ...

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Lattices of partial sums

Lattices of partial sums

... of real numbers) of the famous theorem of Erdös-Ko-Rado ...n real numbers, and it is interesting to observe as such problems have a strict analogy with corresponding problems concerning ...

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Basic Concepts of Mathematics - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

Basic Concepts of Mathematics - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials

... of real numbers without indicating what these numbers actually ...regard real numbers as just any mathematical objects that are only supposed to satisfy our axioms but otherwise are ...

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APPLICATION OF THE MAXIMA IN THE TEACHING OF SCIENCE SUBJECTS AT DIFFERENT LEVELS OF KNOWLEDGE

APPLICATION OF THE MAXIMA IN THE TEACHING OF SCIENCE SUBJECTS AT DIFFERENT LEVELS OF KNOWLEDGE

... • algsys ([equations], [variables]) - solves algebraic system equations in the set of complex numbers, if you want to receive solution in the real numbers , first you should write the [r] ...

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Some Notes on Pentagonal Fuzzy Numbers

Some Notes on Pentagonal Fuzzy Numbers

... on real numbers can be extended to the ones defined on fuzzy numbers by means of Zadeh’s Extension Principle [15] and then some of the noteworthy contributions on fuzzy numbers and its ...

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Summability of double sequences by weighted mean methods and
Tauberian conditions for convergence in Pringsheim's sense

Summability of double sequences by weighted mean methods and Tauberian conditions for convergence in Pringsheim's sense

... of numbers, we con- sider summability of double sequences of real or complex numbers by weighted mean meth- ods which are not necessarily products of related weighted mean methods in one ...of ...

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