Identifying the Corporate Leaders
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The Role of Negative Implications in the Interpretation of Commonwealth Legislative Powers
THE ROLE OF NEGATIVE IMPLICATIONS IN THE INTERPRETATION OF COMMONWEALTH LEGISLATIVE POWERS MICHAEL STOKES* One of the bases for the view that Commonwealth powers should be interpreted broadly is the idea that it is wrong to draw negative implications from positive grants of power. The paper argues that far from being wrong to draw negative implications from positive grants of power it is necessary to do so in that it is impossible to interpret such grants sensibly without drawing negative implications from them. This paper considers Isaacs J’s argument in Huddart Parker that it is wrong to draw negative implications from positive grants of power, as it is the most detailed defence of that position, and the adoption of similar arguments in Work Choices. It then considers the merits of Isaacs J’s argument, rejecting it because it is impossible to interpret positive grants of power without drawing negative implications from them in any context and in the Australian constitutional context in particular. This paper looks at how the scope of such implications is to be determined and how constitutional grants of power ought to be interpreted in the light of negative implications. It concludes that it is possible to determine the scope of the negative implications implicit in the s 51 grants of power and to interpret those powers in the light of the implications while accepting that state powers are residual and that their content cannot be determined until the content of all Commonwealth powers is known. CONTENTS I Introduction .............................................................................................................. 176 II The Origin of the Argument That It Is Wrong to Draw Negative Implications from Positive Grants of Power ....................................................... -
Abstract in This Paper, D-Strong and Almost D-Strong Near-Rings Ha
Periodica Mathematica Hungarlca Vol. 17 (1), (1986), pp. 13--20 D-STRONG AND ALMOST D-STRONG NEAR-RINGS A. K. GOYAL (Udaipur) Abstract In this paper, D-strong and almost D-strong near-rings have been defined. It has been proved that if R is a D-strong S-near ring, then prime ideals, strictly prime ideals and completely prime ideals coincide. Also if R is a D-strong near-ring with iden- tity, then every maximal right ideal becomes a maximal ideal and moreover every 2- primitive near-ring becomes a near-field. Several properties, chain conditions and structure theorems have also been discussed. Introduction In this paper, we have generalized some of the results obtained for rings by Wong [12]. Corresponding to the prime and strictly prime ideals in near-rings, we have defined D-strong and almost D-strong near-rings. It has been shown that a regular near-ring having all idempotents central in R is a D-strong and hence almost D-strong near-ring. If R is a D-strong S-near ring, then it has been shown that prime ideals, strictly prime ideals and com- pletely prime ideals coincide and g(R) = H(R) ~ ~(R), where H(R) is the intersection of all strictly prime ideals of R. Also if R is a D-strong near-ring with identity, then every maximal right ideal becomes a maximal ideal and moreover every 2-primitive near-ring becomes a near-field. Some structure theorems have also been discussed. Preliminaries Throughout R will denote a zero-symmetric left near-ring, i.e., R -- Ro in the sense of Pilz [10]. -
Neural Networks and the Search for a Quadratic Residue Detector
Neural Networks and the Search for a Quadratic Residue Detector Michael Potter∗ Leon Reznik∗ Stanisław Radziszowski∗ [email protected] [email protected] [email protected] ∗ Department of Computer Science Rochester Institute of Technology Rochester, NY 14623 Abstract—This paper investigates the feasibility of employing This paper investigates the possibility of employing ANNs artificial neural network techniques for solving fundamental in the search for a solution to the quadratic residues (QR) cryptography problems, taking quadratic residue detection problem, which is defined as follows: as an example. The problem of quadratic residue detection Suppose that you have two integers a and b. Then a is is one which is well known in both number theory and a quadratic residue of b if and only if the following two cryptography. While it garners less attention than problems conditions hold: [1] such as factoring or discrete logarithms, it is similar in both 1) The greatest common divisor of a and b is 1, and difficulty and importance. No polynomial–time algorithm is 2) There exists an integer c such that c2 ≡ a (mod b). currently known to the public by which the quadratic residue status of one number modulo another may be determined. This The first condition is satisfied automatically so long as ∗ work leverages machine learning algorithms in an attempt to a 2 Zb . There is, however, no known polynomial–time (in create a detector capable of solving instances of the problem the number of bits of a and b) algorithm for determining more efficiently. A variety of neural networks, currently at the whether the second condition is satisfied. -
A Scalable System-On-A-Chip Architecture for Prime Number Validation
A SCALABLE SYSTEM-ON-A-CHIP ARCHITECTURE FOR PRIME NUMBER VALIDATION Ray C.C. Cheung and Ashley Brown Department of Computing, Imperial College London, United Kingdom Abstract This paper presents a scalable SoC architecture for prime number validation which targets reconfigurable hardware This paper presents a scalable SoC architecture for prime such as FPGAs. In particular, users are allowed to se- number validation which targets reconfigurable hardware. lect predefined scalable or non-scalable modular opera- The primality test is crucial for security systems, especially tors for their designs [4]. Our main contributions in- for most public-key schemes. The Rabin-Miller Strong clude: (1) Parallel designs for Montgomery modular arith- Pseudoprime Test has been mapped into hardware, which metic operations (Section 3). (2) A scalable design method makes use of a circuit for computing Montgomery modu- for mapping the Rabin-Miller Strong Pseudoprime Test lar exponentiation to further speed up the validation and to into hardware (Section 4). (3) An architecture of RAM- reduce the hardware cost. A design generator has been de- based Radix-2 Scalable Montgomery multiplier (Section veloped to generate a variety of scalable and non-scalable 4). (4) A design generator for producing hardware prime Montgomery multipliers based on user-defined parameters. number validators based on user-specified parameters (Sec- The performance and resource usage of our designs, im- tion 5). (5) Implementation of the proposed hardware ar- plemented in Xilinx reconfigurable devices, have been ex- chitectures in FPGAs, with an evaluation of its effective- plored using the embedded PowerPC processor and the soft ness compared with different size and speed tradeoffs (Sec- MicroBlaze processor. -
Big Business in Twentieth-Century Australia
CENTRE FOR ECONOMIC HISTORY THE AUSTRALIAN NATIONAL UNIVERSITY SOURCE PAPER SERIES BIG BUSINESS IN TWENTIETH-CENTURY AUSTRALIA DAVID MERRETT UNIVERSITY OF MELBOURNE SIMON VILLE UNIVERSITY OF WOLLONGONG SOURCE PAPER NO. 21 APRIL 2016 THE AUSTRALIAN NATIONAL UNIVERSITY ACTON ACT 0200 AUSTRALIA T 61 2 6125 3590 F 61 2 6125 5124 E [email protected] https://www.rse.anu.edu.au/research/centres-projects/centre-for-economic-history/ Big Business in Twentieth-Century Australia David Merrett and Simon Ville Business history has for the most part been dominated by the study of large firms. Household names, often with preserved archives, have had their company stories written by academics, journalists, and former senior employees. Broader national studies have analysed the role that big business has played in a country’s economic development. While sometimes this work has alleged oppressive anti-competitive behaviour, much has been written from a more positive perspective. Business historians, influenced by the pioneering work of Alfred Chandler, have implicated the ‘visible hand’ of large scale enterprise in national economic development particularly through their competitive strategies and modernised governance structures, which have facilitated innovation, the integration of national markets, and the growth of professional bureaucracies. While our understanding of the role of big business has been enriched by an aggregation of case studies, some writers have sought to study its impact through economy-wide lenses. This has typically involved constructing sets of the largest 100 or 200 companies at periodic benchmark years through the twentieth century, and then analysing their characteristics – such as their size, industrial location, growth strategies, and market share - and how they changed over time. -
GEELONG INFIRMARY R-AKD- Benevolent Asylum (INCORPORATED)
4^3^== §<3 " " ft© ... THE ... , 'I Fiftp=$eixntb Report * OF TBl% COMMITTEE OF MANAGEMENT OF THE GEELONG INFIRMARY r-AKD- Benevolent Asylum (INCORPORATED) WITH THE Financial Statement, List of Subscriptions, Donations, . '•• AND •••••• Statistical Table of Cases treated during the Twelve months ended June 30th, 1909. Geelong: HSNWOOD & DANCEY, PRINTERS, RYRIB STREET, . lOOO. OFFICE-BEARERS FOR 1909-1910. president: G. MARTIN, ESQ. Wice=fl>resioents-. J. NICOL, ESQ. C. SHANNON, ESQ. Don. treasurer: JAMES SMITH, ESQ. General Committee: REV. J. FORREST. i ENGLAND, G., ESQ. RKV. E. HARRIS. | HIGGINS, W., ESQ. RHV. A. POWELL. ! 'HUMBLE, W., ESQ. RKV. F. W. A. NEWTON. ! JULLIEN, E. L-, ESQ. BRADLEY, W. W., ESQ. KERNOT, W. C, ESQ. BROWN, H. BLOMFIELD, ESQ. LEARY, F. J., ESQ. COLLIER, A., ESQ. PURDIE, J., ESQ. DICKSON, T. A., ESQ. PHILPOTT, E-, ESQ. DOYLE, J. P. McCABE, ESQ. SMALL, DR. J. Tbouse Committee: HUMBLE, W., ESQ. , SMALL, DR. J. NICOL, J., ESQ., Vice-President. j . SHANNON, CHAS., ESQ., Vice-Pies. PURDIE, J., ESQ. finance Committee: BROWN, H. BLOMFIELD, ESQ. COLLIER, A., ESQ. BRADLEY, W. W.., ESQ. HIGGINS, W., ESQ. LEARY, F. J., ESQ. Ibonorarg Consulting xT&cotcal ©fticers: CROKER, P. A., ESQ., M.B., CH.M. SMALL, J., ESQ.. F.R.C.S., ED. iftonorarg /T&eoical ©fticers: KENNEDY, T. J. M.. ESQ., M.B., CH.B. MCCALLUM, G., ESQ., M.D. MARWOOD, A. W., ESQ., L.R.C.S., P.ED., L.F.P.S.O NEWMAN, F. J., ESQ, M.B., CH.B. loon, anaesthetist: ifton. Sftlagrapbist; McPHEE, R. G., ESQ., M.B., B.S. ELVINS,, H. -
Diffie-Hellman Key Exchange
Public Key Cryptosystems - Diffie Hellman Public Key Cryptosystems - Diffie Hellman Get two parties to share a secret number that no one else knows Public Key Cryptosystems - Diffie Hellman Get two parties to share a secret number that no one else knows Receiver Sender Public Key Cryptosystems - Diffie Hellman Get two parties to share a secret number that no one else knows Can only use an insecure communications channel for exchange Receiver Sender Attacker Public Key Cryptosystems - Diffie Hellman Get two parties to share a secret number that no one else knows Can only use an insecure communications channel for exchange p,g Receiver Sender p: prime & (p-1)/2 prime g: less than p n = gk mod p Attacker for all 0<n<p and some k (see http://gauss.ececs.uc.edu/Courses/c6053/lectures/Math/Group/group.html) Public Key Cryptosystems - Diffie Hellman A safe prime p: p = 2q + 1 where q is also prime Example: 479 = 2*239 + 1 If p is a safe prime, then p-1 has large prime factor, namely q. If all the factors of p-1 are less than logcp, then the problem of solving the discrete logarithm modulo p is in P (it©s easy). Therefore, for cryptosystems based on discrete logarithm (such as Diffie-Hellman) it is required that p-1 has at least one large prime factor. Public Key Cryptosystems - Diffie Hellman A strong prime p: p is large p-1 has large prime factors (p = aq+1 for integer a and prime q) q-1 has large prime factors (q = br+1 for integer b, prime r) p+1 has large prime factors. -
WHAT IS the BEST APPROACH to COUNTING PRIMES? Andrew Granville 1. How Many Primes Are There? Predictions You Have Probably Seen
WHAT IS THE BEST APPROACH TO COUNTING PRIMES? Andrew Granville As long as people have studied mathematics, they have wanted to know how many primes there are. Getting precise answers is a notoriously difficult problem, and the first suitable technique, due to Riemann, inspired an enormous amount of great mathematics, the techniques and insights penetrating many different fields. In this article we will review some of the best techniques for counting primes, centering our discussion around Riemann's seminal paper. We will go on to discuss its limitations, and then recent efforts to replace Riemann's theory with one that is significantly simpler. 1. How many primes are there? Predictions You have probably seen a proof that there are infinitely many prime numbers. This was known to the ancient Greeks, and today there are many different proofs, using tools from all sorts of fields. Once one knows that there are infinitely many prime numbers then it is natural to ask whether we can give an exact formula, or at least a good approximation, for the number of primes up to a given point. Such questions were no doubt asked, since antiquity, by those people who thought about prime numbers. With the advent of tables of factorizations, it was possible to make predictions supported by lots of data. Figure 1 is a photograph of Chernac's Table of Factorizations of all integers up to one million, published in 1811.1 There are exactly one thousand pages of factorization tables in the book, each giving the factorizations of one thousand numbers. For example, Page 677, seen here, enables us to factor all numbers between 676000 and 676999. -
Local Prime Factor Decomposition of Approximate Strong Product Graphs
Local Prime Factor Decomposition of Approximate Strong Product Graphs Von der Fakultät für Mathematik und Informatik der Universität Leipzig angenommene DISSERTATION zur Erlangung des akademischen Grades DOCTOR RERUM NATURALIUM (Dr. rer. nat.) im Fachgebiet Informatik vorgelegt von Diplom Wirtschaftsmathematiker Marc Hellmuth geboren am 25. Juni 1980 in Nordhausen Die Annahme der Dissertation wurde empfohlen von: 1. Professor Dr. Peter F. Stadler (Leipzig, Deutschland) 2. Professor Dr. Sandi Klavžar (Ljubljana, Slowenien) Die Verleihung des akademischen Grades erfolgt mit Bestehen der Vertei- digung am 22.04.2010 mit dem Gesamtprädikat summa cum laude. Acknowledgements Let me thank you very much !! peter F. stadler and wilfried imrich paula werner kloeckl, daniel merkle, lydia gringmann, maribel hernandez-rosales, steve hoffmann, phil ostermeier, kon- stantin klemm, sven findeisz, and the entire beerinformatics community my family christine rahn, marlen pelny, dietrich becker, gilbert spiegel, min choe, and my old friends in nordhausen jens steuck and petra pregel josef leydold, manja marz, sonja prohaska, and martin middendorf ... and all other persons that are in the closed neighborhood of mine !! Abstract In practice, graphs often occur as perturbed product structures, so-called approximate graph products. The practical application of the well-known prime factorization algorithms is therefore limited, since most graphs are prime, although they can have a product-like structure. This work is concerned with the strong graph product. Since strong product graphs G contain subgraphs that are itself products of subgraphs of the underlying factors of G, we follow the idea to develop local approaches that cover a graph by factorizable patches and then use this information to derive the global factors. -
THE IMPACT of HIGH COURT DECISIONS on the GOVERNANCE of AUSTRALIA I Regard It As a Great Honour to Be Asked to Give the Annual
THE IMPACT OF HIGH COURT DECISIONS ON THE GOVERNANCE OF AUSTRALIA I regard it as a great honour to be asked to give the annual Hal Wootten Lecture. Hal Wootten has been one of the most significant figures in Australian legal history. He was a practising barrister who became a Queens Counsel and the leader of the Industrial Bar. He was an innovative Supreme Court judge for 10 years. As Royal Commissioner into Aboriginal Deaths in Custody, he brought home to the consciousness of the Australian people that the real issue was not why so many Aboriginals were dying in prison – whether by suicide or otherwise - but why so many Aboriginals were in prison. These were great achievements. Nevertheless, many knowledgeable lawyers would say that his greatest legal achievement was developing this Law School and the Aboriginal Legal Service which commenced shortly after its foundation. That is because the object for which this Law School was founded will continue to be achieved long after those of us present tonight have gone. Lawyers and many others assume that he came to the Law School to achieve social justice for disadvantaged groups. No doubt that was one of the objects. But it would be more accurate to say that his purpose in coming to the Law School was to achieve justice for all. As he has been at pains to point out publicly, he saw a major object of a Law School as producing lawyers who would see the legal profession as having a duty to serve the whole of society. That meant 1 producing lawyers who had the ability to meet the needs of business, governments and ordinary citizens as well as disadvantaged groups like Aboriginals. -
UK Aerospace Supply Chain Study
BIS RESEARCH PAPER NUMBER 294 UK Aerospace Supply Chain Study JULY 2016 Contents Contents ........................................................................................................................................ 2 Executive Summary ...................................................................................................................... 4 Introduction ................................................................................................................................. 12 Context ..................................................................................................................................... 12 Scope of the Study .................................................................................................................... 14 Methodology overview ............................................................................................................... 14 Structure and Value of the Supply Chain .................................................................................. 16 Primes views ............................................................................................................................. 16 Supply chain view ..................................................................................................................... 18 Participant company overview ............................................................................................... 18 Employment ......................................................................................................................... -
An Introduction to Cryptography, Second Edition Richard A
DISCRETE MATHEMATICS AND ITS APPLICATIONS Series Editor KENNETH H. ROSEN An INTRODUCTION to CRYPTOGRAPHY Second Edition © 2007 by Taylor & Francis Group, LLC DISCRETE MATHEMATICS and ITS APPLICATIONS Series Editor Kenneth H. Rosen, Ph.D. Juergen Bierbrauer, Introduction to Coding Theory Kun-Mao Chao and Bang Ye Wu, Spanning Trees and Optimization Problems Charalambos A. Charalambides, Enumerative Combinatorics Henri Cohen, Gerhard Frey, et al., Handbook of Elliptic and Hyperelliptic Curve Cryptography Charles J. Colbourn and Jeffrey H. Dinitz, The CRC Handbook of Combinatorial Designs Steven Furino, Ying Miao, and Jianxing Yin, Frames and Resolvable Designs: Uses, Constructions, and Existence Randy Goldberg and Lance Riek, A Practical Handbook of Speech Coders Jacob E. Goodman and Joseph O’Rourke, Handbook of Discrete and Computational Geometry, Second Edition Jonathan L. Gross and Jay Yellen, Graph Theory and Its Applications, Second Edition Jonathan L. Gross and Jay Yellen, Handbook of Graph Theory Darrel R. Hankerson, Greg A. Harris, and Peter D. Johnson, Introduction to Information Theory and Data Compression, Second Edition Daryl D. Harms, Miroslav Kraetzl, Charles J. Colbourn, and John S. Devitt, Network Reliability: Experiments with a Symbolic Algebra Environment Leslie Hogben, Handbook of Linear Algebra Derek F. Holt with Bettina Eick and Eamonn A. O’Brien, Handbook of Computational Group Theory David M. Jackson and Terry I. Visentin, An Atlas of Smaller Maps in Orientable and Nonorientable Surfaces Richard E. Klima, Neil P. Sigmon, and Ernest L. Stitzinger, Applications of Abstract Algebra with Maple™ and MATLAB®, Second Edition Patrick Knupp and Kambiz Salari, Verification of Computer Codes in Computational Science and Engineering William Kocay and Donald L.