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Limit computable integer parts

2011
*
Archive for Mathematical Logic
*

We would like to know whether there is a much simpler procedure, yielding an

doi:10.1007/s00153-011-0241-z
fatcat:4uw6v3iwrfddpot3sypzlujsti
*integer**part*that is ∆ 0 2 (R)-*limit**computable*relative to R. ... We show that for each n ∈ ω, there is a*computable*real closed field with no n-c.e.*integer**part*. In fact, there is a*computable*real closed field with no n-c.e.*integer**part*for any n. ...*Computable*real closed fields with no n-c.e.*integer**part*We do not know whether ∆ 0 2 is sufficient to calculate an*integer**part*for a*computable*real closed field. ...##
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Erratum to: Limit computable integer parts

2015
*
Archive for Mathematical Logic
*

However, by Theorem 3.5, a maximal Z ring for R may not be an

doi:10.1007/s00153-015-0418-y
fatcat:txwqfkpz4baeti52a2sbb65ctm
*integer**part*for R. ... Thus, finding an affirmative answer to Question 1 would not directly provide a ∆ 0 2 (R)-*integer**part*for R, the original motivating problem for this work. ...##
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Basic Properties, Limit & Derivative Of The Greatest Integer Function

2016
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Zenodo
*

This paper discusses the definition and various notations used for the greatest

doi:10.5281/zenodo.163846
fatcat:6zhsrvcmprfxno7cwodozd3w6y
*integer*and fractional*part*functions simply. ...*Limit*of the function is also introduced here. The derivative of the function is*computed*using definition which is also related to the*limit*and the continuity of the function. ... The derivative of the function is*computed*using definition which is also related to the*limit*and the continuity of the function. ...##
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A fixed-point implementation of tone mapping operation for HDR images expressed in floating-point format

2014
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APSIPA Transactions on Signal and Information Processing
*

To reduce the resources, an

doi:10.1017/atsip.2014.9
fatcat:ekqod6eq3zczxhvtr5cytlwf2a
*integer*TMO which treats a floating-point number as two 8-bit*integer*numbers was proposed. However, this method has the*limitation*of available input HDR image formats. ... The proposed method introduces an intermediate format to relieve the*limitation*of input formats, and expands the*integer*TMO for the intermediate format. ... The*integer*TMO [21, 22] implements a global TMO with*integer*data and fixed-point arithmetic. Using*integer*data and fixed-point arithmetic reduces the memory cost and the*computational*cost. ...##
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[Invited Paper] An Efficient Unified-Tone-Mapping Operation for HDR Images with Various Formats

2016
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ITE Transactions on Media Technology and Applications
*

By using both

doi:10.3169/mta.4.2
fatcat:wxssvx3wkzarbkhynd4wzmce2m
*integer*data and fixed-point arithmetic, the method reduces not only the memory cost but also the*computational*cost. ... However, this method has a*limitation*of available input HDR image formats. ... Moreover, using 8-bit*integer*data facilitates executing calculations with fixed-point arithmetic because it eases the*limitation*of the bit length. ...##
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Page 329 of Educational and Psychological Measurement Vol. 69, Issue 2
[page]

2009
*
Educational and Psychological Measurement
*

*Part*1, with a time

*limit*of 2 min, measures facility with

*integer*

*computations*(25 items);

*Part*2, with a time

*limit*of 4 min, measures facility with decimal

*computations*(25 items); and

*Part*3, also ... found only in

*Part*2. ...

##
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Efficient Fast 1-D 8$\,\times\,$8 Inverse Integer Transform for VC-1 Application

2009
*
IEEE transactions on circuits and systems for video technology (Print)
*

With the low complexity, the proposed fast algorithm is suitable to accelerate the video coding

doi:10.1109/tcsvt.2009.2014010
fatcat:4pkaulo63fbetihflaaswx2enm
*computations*. Index Terms-8 8 inverse*integer*transform, fast algorithm, video coding, WMV9/VC-1. ... Therefore, the*computational*complexities of the proposed fast inverse transform are smaller than those of the direct method and the previous fast method. ... ACKNOWLEDGMENT This work is supported in*part*by the National Science Council, Taiwan, R.O.C., under Grant NSC96-2220-E-005-006. ...##
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Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams

2007
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Journal of Statistical Mechanics: Theory and Experiment
*

We

doi:10.1088/1742-5468/2007/10/p10001
fatcat:uqzqgrahnvc5lmnvjs5ize3fdi
*compute*the*limit*shapes of the Young diagrams of the minimal difference p partitions and provide a simple physical interpretation for the*limit*shapes. ... This Gumbel statistics for the largest*part*remains unchanged even for general partitions of the form E=∑_i n_i i^1/ν with ν>0 where n_i is the number of times the*part*i appears. ... The distribution of the number of*parts*for p = 0 was*computed*by Erdös and Lehner [16] and in the appropriate scaling*limit*it has a Gumbel form. ...##
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The Size of the Largest Part of Random Weighted Partitions of Large Integers

2013
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Combinatorics, probability & computing
*

Assuming that a weighted partition of n is selected uniformly at random from the set of all such partitions, we study the

doi:10.1017/s0963548313000047
fatcat:frg3vvydfzbb3lvyrafa5ql3fe
*limiting*distribution of the largest*part*size X n as n → ∞. ... A weighted partition of the positive*integer*n is a multiset of size n whose decomposition into a union of disjoint components (*parts*) satisfies the following condition: for a given sequence of non-negative ...##
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Evolutionary based moving target cyber defense

2014
*
Proceedings of the 2014 conference companion on Genetic and evolutionary computation companion - GECCO Comp '14
*

*computers*at any point in time • Difficult, but is it possible to search for multiple secure configurations? ... vector ssh password AV:N/AC:L/Au:N/C:P/I:P/A:P 7.2 (high) -Forms the basis for EA fitness Chromosome/Configuration Fitness • Three levels used to score each CVSS vector

*part*AV/AC/Au/C/Therefore best ... LimitRequestBody Positive

*integer*

*Limit*the size of message body. LimitRequestFields Positive

*integer*

*Limit*number of request HTTP header fields allowed. ...

##
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Probabilistic model of error in fixed-point arithmetic Gaussian pyramid

2009
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2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops
*

However, the use of repeated convolutions using

doi:10.1109/iccvw.2009.5457618
dblp:conf/iccvw/MelerRC09
fatcat:jppcbguqnzfh5eflhe3qxeq2k4
*integer*coefficients imposes*limits*on the minimum number of bits that must be used for representing image data. ... The existence of a fast algorithm with linear*computational*complexity makes it feasible to implement the half-octave Gaussian pyramid in embedded*computing*systems using only*integer*arithmetic. ... Error Generation and Propagatioñ x is a fixed point number with n i bits of*integer**part*and n f bits of fractional*part*. ...##
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An integer tone mapping operation for HDR images in OpenEXR with denormalized numbers

2014
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2014 IEEE International Conference on Image Processing (ICIP)
*

Moreover, the exponent

doi:10.1109/icip.2014.7025912
dblp:conf/icip/MurofushiDIK14
fatcat:prvaj5zxhbcy5oef3wve4xikky
*part*and the mantissa*part*are processed separately as two*integer*numbers. As a result, an*integer*TMO with less numerical range is achieved by our method. ... Index Termshigh dynamic range, tone mapping, OpenEXR, denormalized number,*integer*operation ... The*integer*TMO processes the exponent*part*and the mantissa*part*separately as two*integer*numbers; therefore, the numerical range in the tone mapping process is greatly reduced. ...##
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Odd Ramanujan Sums of Complex Roots of Unity

2007
*
IEEE Signal Processing Letters
*

(DFT)

doi:10.1109/lsp.2006.881527
fatcat:l2ffseoxejffvdaolm5jizze2a
*integer*-valued coefficients. ... A special class of odd-symmetric length-4N periodic signals is studied, and it is shown how the odd Ramanujan sums are used as weighting coefficients to*compute*their pure imaginary discrete Fourier transform ... Since there is an odd*part*, we must deal with the imaginary*integer*-valued coefficients and the real one, which becomes a Gaussian*integer*, while in [6] , only real*integer*-valued coefficients are considered ...##
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How to Use Koblitz Curves on Small Devices?
[chapter]

2015
*
Lecture Notes in Computer Science
*

Typically elliptic curve cryptosystems, such as ECDSA, also require the scalar as an

doi:10.1007/978-3-319-16763-3_10
fatcat:we6nbyanhjf7ljzo6gqkku6sye
*integer*. ... This results in a need for conversions between*integers*and the τ -adic domain, which are costly and prevent from using Koblitz curves on very constrained devices, such as RFID tags or wireless sensors ... The arithmetic*part*can be*computed*using the original*integer*k. The first method for conversion was given by Koblitz [13] . ...##
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COMPUTING CONVEX HULLS BY AUTOMATA ITERATION

2009
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International Journal of Foundations of Computer Science
*

This paper considers the problem of

doi:10.1142/s0129054109006796
fatcat:augcn36vfbdcdpdsxvihcvm7e4
*computing*the real convex hull of a finite set of n-dimensional*integer*vectors. ... The proposed method consists in*computing*a sequence of automata representing approximations of the convex hull and using extrapolation techniques to*compute*the*limit*of this sequence. ...*Computing*the real convex hull of a finite set of*integer*vectors can thus be reduced to*compute*the topological closure of the*limit*of its median sequence. ...
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