scholarly journals DESIGNING A MULTI-PRECISION NUMBER THEORY LIBRARY

2014 ◽  
pp. 44-48
Author(s):  
Catalin Hritcu ◽  
Iulian Goriac ◽  
Raluca Mihaela Gordan ◽  
Elena Erbiceanu
Keyword(s):  
Number Theory ◽  
Memory Management ◽  
High Performance ◽  
Number Representation ◽  
Algorithm Selection ◽  
Basic Principles ◽  
Work In Progress ◽  
Large Numbers

The aim of this paper is twofold. First, we present the basic principles and point out the main difficulties in writing a library supporting operations with arbitrarily large numbers. Aspects such as library structure, number representation, algorithm selection, memory management, etc., are discussed and exemplified on the most efficient libraries developed. Secondly, we present work in progress regarding the design of a new multi-precision library, MpNT. Comparisons between our library and the existing ones show that it achieves high performance.

The Development of the Mental Representation of Numbers 0-10 in Elementary School Children

2020 ◽  
Author(s):  
Anat Feldman ◽  
Michael Shmueli ◽  
Dror Dotan ◽  
Joseph Tzelgov ◽  
Andrea Berger
Keyword(s):  
Sixth Grade ◽  
Number Line ◽  
Number Representation ◽  
Large Numbers ◽  
Position Task ◽  
Sigmoidal Curve ◽  
Anchor Points ◽  
The Right ◽  
Line P ◽  
Best Fit

In recent years, there has been growing interest in the development of mental number line (MNL) representation examined using a number-to-position task. In the present study, we investigated the development of number representation on a 0-10 number line using a computerized version of the number-to-position task on a touchscreen, with restricted response time; 181 children from first through sixth grade were tested. We found that the pattern of estimated number position on the physical number line was best fit by the sigmoidal curve function–which was characterized by underestimation of small numbers and overestimation of large numbers–and that the breakpoint changed with age. Moreover, we found that significant developmental leaps in MNL representation occurred between the first and second grades and again between the second and third grades, which was reflected in the establishment of the right endpoint and the number 5 as anchor points, yielding a more accurate placement of other numbers along the number line.

Development and Achievements of SSM Processes for High Performance Components

2016 ◽  
Vol 256 ◽  
pp. 319-327 ◽  
Author(s):  
Mario Rosso ◽  
Ildiko Peter ◽  
Ivano Gattelli
Keyword(s):  
Industrial Development ◽  
High Performance ◽  
Rear Axle ◽  
Research Work ◽  
Industrial Applications ◽  
Alternative Methods ◽  
Front Suspension ◽  
Large Numbers ◽  
Automotive Parts ◽  
High Level

During the last decades under the enthusiastic and competent guidance of Mr Chiarmetta SSM processes attained in Italy at Stampal Spa (Torino) an unquestionable high level of industrial development with the production of large numbers of high performance automotive parts, like variety of suspension support, engine suspension mounts, steering knuckle, front suspension wheel, arm and rear axle. Among the most highlighted findings SSM processes demonstrated their capability to reduce the existing gap between casting and forging, moreover during such a processes there are the opportunity to better control the defect level.Purpose of this paper is to highlight the research work and the SSM industrial production attained and developed by Mr G.L. Chiarmetta, as well as to give an overview concerning some alternative methods for the production of enhanced performance light alloys components for critical industrial applications and to present an analysis of a new rheocasting process suitable for the manufacturing of high performance industrial components.

scholarly journals Design, fabrication and experimental studies of compliant flexure diaphragm for micro pump

2018 ◽  
Vol 7 (2.21) ◽  
pp. 66 ◽  
Author(s):  
R Roopa ◽  
P Navin Karanth ◽  
S M. Kulkarni
Keyword(s):  
Polyvinylidene Fluoride ◽  
High Performance ◽  
Experimental Studies ◽  
Single Layer ◽  
Operating Voltage ◽  
Driving Voltage ◽  
Element Analysis ◽  
Central Deflection ◽  
Large Numbers ◽  
Micro Pump

This study reports the performance of piezo actuated compliant flexure diaphragm for micropump and MEMS application. To achieve the high performance of diaphragm at the low operating voltage compliant flexure diaphragm design is introduced. Very limited work has done on the diaphragms of micropump. Large numbers of mechanical micropumps have used plane diaphragms. The central deflection of diaphragm plays an important role in defining the micropump performance. The flow rate of mechanical type micropump strongly depends on the central deflection of diaphragm. In this paper compliant flexure diaphragms are designed for micropump to achieve higher deflection at lower operating voltage. Finite element analysis of compliant flexure diaphragm with single layer PVDF (Polyvinylidene fluoride) actuator is simulated in COMSOL. Compliant flexure diaphragms with a different number of flexures are analyzed. The central deflection of compliant flexure diaphragms is measured for driving voltages of 90V to 140V in 10 steps. The deflection of the compliant flexure diaphragm mainly depends on flexure width and length, the number of flexures in the diaphragm, PVDF thickness, diaphragm thickness and driving voltage. Use of compliant flexure diaphragm for micropump will reduce the mass and driving voltage of micropump. An attempt is made to compare the results of compliant flexure diaphragms with plane diaphragms. From the experimental results it is noticed that the compliant flexure diaphragm deflection is twice that of the plane diaphragm at same driving voltage. Deflection of three flexure and four flexure compliant diaphragms is 10.5µm and 11.5µm respectively at 140V.  

scholarly journals Effects of Different Doses of Fructooligosaccharides (FOS) on the Composition of Mice Fecal Microbiota, Especially the Bifidobacterium Composition

Nutrients ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 1105 ◽  
Author(s):  
Bingyong Mao ◽  
Jiayu Gu ◽  
Dongyao Li ◽  
Shumao Cui ◽  
Jianxin Zhao ◽  
...  
Keyword(s):  
High Performance ◽  
Growth Stimulation ◽  
Fecal Microbiota ◽  
High Dose ◽  
Dietary Carbohydrates ◽  
Basic Principles ◽  
Host Health ◽  
Miseq Platform ◽  
Specific Species ◽  
Different Doses

Fructooligosaccharides (FOS) are a well-known class of prebiotic and are considered to selectively stimulate the growth of bifidobacteria in the gut. Previous studies focused on the growth stimulation of Bifidobacterium, but they did not further investigate the bifidobacterial composition and the specific species that were stimulated. In this study, mice were fed with FOS in different doses for four weeks and the composition of fecal microbiota, in particular Bifidobacterium, was analyzed by sequencing the V3–V4 region and the groEL gene on the MiSeq platform, respectively. In the high-dose group, the relative abundance of Actinobacteria was significantly increased, which was mainly contributed by Bifidobacterium. At the genus level, the relative abundances of Blautia and Coprococcus were also significantly increased. Through the groEL sequencing, 14 species of Bifidobacterium were identified, among which B. pseudolongum was most abundant. After FOS treatment, B. pseudolongum became almost the sole bifidobacterial species (>95%). B. pseudolongum strains were isolated and demonstrated their ability to metabolize FOS by high performance liquid chromatography (HPLC). Therefore, we inferred that FOS significantly stimulated the growth of B. pseudolongum in mice. Further investigations are needed to reveal the mechanism of selectiveness between FOS and B. pseudolongum, which would aid our understanding of the basic principles between dietary carbohydrates and host health.

Basic Principles in Number Theory

Number Theory ◽  
2009 ◽  
pp. 1-15
Author(s):  
Titu Andreescu ◽  
Dorin Andrica
Keyword(s):  
Number Theory ◽  
Basic Principles

scholarly journals Rivet-Inspired Modification of Aramid Fiber by Decorating with Silica Particles to Enhance the Interfacial Interaction and Mechanical Properties of Rubber Composites

Materials ◽  
2020 ◽  
Vol 13 (11) ◽  
pp. 2665
Author(s):  
Yihang Li ◽  
Yuzhu Xiong ◽  
Qingpo Zhang
Keyword(s):  
Hybrid Materials ◽  
High Performance ◽  
High Surface ◽  
Silica Particles ◽  
Interfacial Interaction ◽  
Aramid Fiber ◽  
Rubber Matrix ◽  
Rubber Composites ◽  
Large Numbers ◽  
Surface Modified

A rivet–inspired method of decorating aramid fiber (AF) with silica particles (SiO2) is proposed to produce SiO2@AF hybrid materials that have largely enhanced interfacial interaction with the rubber matrix. AF was firstly surface-modified with polyacrylic acid (PAA) to obtain PAA–AF, and SiO2 was silanized with 3-aminopropyltriethoxysilane to obtain APES–SiO2. Then, SiO2@AF was prepared by chemically bonding APES–SiO2 onto the surface of PAA–AF in the presence of dicyclohexylcarbodiimide (DCC) and 4-dimethylaminopyridine (DMAP). With the incorporation of SiO2@AF into the rubber matrix, SiO2@AF hybrid materials with high surface roughness can play a role as ‘rivets’ to immobilize large numbers of rubber chains on the surface. The tear strength and tensile strength of rubber composite that filling 4 phr SiO2@AF are dramatically increased by 97.8% and 89.3% compared to pure rubber, respectively. Furthermore, SiO2@AF has superiority in enhancing the cutting resistance of rubber composites, in contrast with unmodified AF and SiO2. SiO2@AF is suitable to be applied as a novel reinforcing filler in rubber composites for high performance.

scholarly journals A Note on Rényi's ‘Record’ Problem and Engel's Series

2018 ◽  
Vol 61 (2) ◽  
pp. 363-369 ◽  
Author(s):  
Lulu Fang ◽  
Min Wu
Keyword(s):  
Number Theory ◽  
Large Deviations ◽  
Markov Processes ◽  
Classical Limit ◽  
Limit Theorems ◽  
London Math ◽  
Law Of Large Numbers ◽  
Record Times ◽  
Iterated Logarithm ◽  
Large Numbers

AbstractIn 1973, Williams [D. Williams, On Rényi's ‘record’ problem and Engel's series, Bull. London Math. Soc.5 (1973), 235–237] introduced two interesting discrete Markov processes, namely C-processes and A-processes, which are related to record times in statistics and Engel's series in number theory respectively. Moreover, he showed that these two processes share the same classical limit theorems, such as the law of large numbers, central limit theorem and law of the iterated logarithm. In this paper, we consider the large deviations for these two Markov processes, which indicate that there is a difference between C-processes and A-processes in the context of large deviations.

Bragg Edge Analysis for Transmission Imaging Experiments software tool: BEATRIX

2019 ◽  
Vol 52 (4) ◽  
pp. 903-909 ◽  
Author(s):  
Triestino Minniti
Keyword(s):  
Memory Management ◽  
High Performance ◽  
Software Tool ◽  
Neutron Imaging ◽  
Data Sets ◽  
Spatially Resolved ◽  
Transmission Imaging ◽  
C Programming ◽  
Fitting Procedures ◽  
Residual Strains

Bragg Edge Analysis for Transmission Imaging Experiments, BEATRIX, is a new tool for performing data analysis of energy-resolved neutron-imaging experiments involving intense fitting procedures of multi-channel spectra. BEATRIX was developed to handle large, megapixel-sized data sets with high computing performance, addressed using the object-oriented C++ programming language and parallel processing. The tool is designed to provide rapid results, and it can be used on a range of computers, from personal laptops to high-performance computing clusters, with particular attention to memory management. This software is easily extendible to other spectral imaging applications. The use of BEATRIX is illustrated for a test specimen, providing spatially resolved 2D maps for residual strains and Bragg edge heights.

Genetics: the centre of science

1966 ◽  
Vol 164 (995) ◽  
pp. 154-166 ◽  
Keyword(s):  
General Principle ◽  
Pollen Parent ◽  
Seed Parent ◽  
Crossing Experiments ◽  
Basic Principles ◽  
Isaac Newton ◽  
Large Numbers ◽  
The Difference

It is not often possible to pinpoint the origin of a whole new branch of science accurately in time and place, because, as Isaac Newton said, there are usually so many precursors on whose shoulders the successor stands and is thereby able to see further than they. But genetics is an exception, for it owes its origin to one man, Gregor Johann Mendel, who expounded its basic principles at Brno on 8 February and 8 March 1865. If a precursor is a man who, at an earlier date, makes a discovery which his successor is able to expand into a general principle of universal validity, Mendel had no precursors. There were not wanting breeders who hybridized plants: Joseph Gottlieb Koelreuter, Carl Friedrich von Gaertner, and William Herbert, to mention only the chief names, but what they were studying was not really basic genetics at all. They wanted to know if sterility in a hybrid is the fault of the pollen-parent or the seed-parent, whether either parent could be held responsible for the characters of different specified regions of the plant, or which had prepotency over the characters of the hybrid. The parent races that they chose for their crossing experiments were either different species, or varieties differing in large numbers of characters, and the results which they obtained were chaotic, inconstant, and contradictory, and led to no general principles at all. This was the difference between previous attempts to study heredity, and the Mendelian revolution that resulted in genetics.

Sign in / Sign up

Export Citation Format

Share Document