Global Silver Investment October 2019
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How to Make Mathematical Candy
how to make mathematical candy Jean-Luc Thiffeault Department of Mathematics University of Wisconsin { Madison Summer Program on Dynamics of Complex Systems International Centre for Theoretical Sciences Bangalore, 3 June 2016 Supported by NSF grant CMMI-1233935 1 / 45 We can assign a growth: length multiplier per period. the taffy puller Taffy is a type of candy. Needs to be pulled: this aerates it and makes it lighter and chewier. [movie by M. D. Finn] play movie 2 / 45 the taffy puller Taffy is a type of candy. Needs to be pulled: this aerates it and makes it lighter and chewier. We can assign a growth: length multiplier per period. [movie by M. D. Finn] play movie 2 / 45 making candy cane play movie [Wired: This Is How You Craft 16,000 Candy Canes in a Day] 3 / 45 four-pronged taffy puller play movie http://www.youtube.com/watch?v=Y7tlHDsquVM [MacKay (2001); Halbert & Yorke (2014)] 4 / 45 a simple taffy puller initial -1 �1 �1�2 �1 -1 -1 -1 1�2 �1�2 �1 �2 [Remark for later: each rod moves in a ‘figure-eight’ shape.] 5 / 45 the famous mural This is the same action as in the famous mural painted at Berkeley by Thurston and Sullivan in the Fall of 1971: 6 / 45 The sequence is #folds = 1; 1; 2; 3; 5; 8; 13; 21; 34;::: What is the rule? #foldsn = #foldsn−1 + #foldsn−2 This is the famous Fibonacci sequence, Fn. number of folds [Matlab: demo1] Let's count alternating left/right folds. 7 / 45 #foldsn = #foldsn−1 + #foldsn−2 This is the famous Fibonacci sequence, Fn. -
Gold Price Dynamics Around the Clock
Copenhagen Business School Department of Finance 15th May 2019 Gold Price Dynamics Around the Clock Authors: Francesco Donati (115765) Johannes A. Jung (115540) Supervisor: Paul Whelan Pages: 98 Characters: 183,273 Thesis submitted in partial fulfilment of the requirements for the degree of Master of Science in Advanced Economics and Finance (Cand.Oecon) Acknowledgements We want to thank Copenhagen Business School for the splendid learning opportunity. We express our deep gratitude to the thesis supervisor, Paul Whelan, for his guidance. We want to thank our friends and families for their precious support during this exciting last period of our student life. A special mention goes to our parents, of course. We want to thank the amazing people met in the program, their energy, drive and diversity inspired and improved us. We will be missing all the ups and downs of student's life. Further, we want to thank Beyza and Emanuela, for the laughs and joy they brought us every day. Lastly, Johannes wants to mention that his girl Ploy is more precious than gold to him. Francesco & Johannes Abstract In this thesis we examine intraday behaviour of gold prices in the 24 hours day. We make a distinction between eastern world (China, India) and western world (US, Europe). We suspect that the intraday pattern may be affected by two factors: (i) large gold imports by eastern countries and (ii) manipulation of the London Gold Fix. We find a hat-shaped intraday seasonality, with gold appreciating during eastern trading hours in a robust way and depreciating for the rest of the day. -
The Effect of Lease Rates on Precious Metals Markets by Merlin Marr-Johnson, Metals Analyst, HSBC Bank USA
THE LONDON BULLION MARKET ASSOCIATION The Effect of Lease Rates on Precious Metals Markets By Merlin Marr-Johnson, Metals Analyst, HSBC Bank USA In the precious metals First, it is probably worth Gold the interest rate differential returning to the simplest Again, the key to lease rates is in between dollar yields and lease markets, lease rates are fundamental of all. As changes in the supply and demand of lending. rates.The producers therefore buying (demand) and selling Staying with gold, the supply side unwittingly reinforced the frequently cited as root (supply) affect prices, so changes for gold lease rates rests firmly on arguments for a declining spot in borrowing (demand) and the large lending reserves market and a rising lease rate. causes for metal price lending (supply) affect lease rates. available to the market. Central The borrowing, of course, banks currently hold helped generate a strong demand behaviour. However, the A lease rate is simply the going approximately 29,000 tonnes of environment for borrowed market ‘price’ for borrowing or gold (multi-lateral institutions gold, which elevated lease rates reason for the lease rate lending the market. If a market is hold around another 4,200 to over 2%. oversupplied relative to demand, tonnes).With the perceived behaviour itself is rarely prices/lease rates are low, and if a economic stability of the 1990s, The reason for the shift lower in market is undersupplied relative and strong returns being achieved lease rates since 2000 stems from examined. This short to demand, prices/lease rates are by most asset classes, central bank an almost total reversal of every high. -
GOLDEN and SILVER RATIOS in BARGAINING 1. Introduction There Are Five Coins on a Table to Be Divided Among Players 1 to 4. the P
GOLDEN AND SILVER RATIOS IN BARGAINING KIMMO BERG, JANOS´ FLESCH, AND FRANK THUIJSMAN Abstract. We examine a specific class of bargaining problems where the golden and silver ratios appear in a natural way. 1. Introduction There are five coins on a table to be divided among players 1 to 4. The players act in turns cyclically starting from player 1. When it is a player's turn, he has two options: to quit or to pass. If he quits he earns a coin, the next two players get two coins each and the remaining player gets nothing. For example, if player 3 quits then he gets one coin, players 4 and 1 get two coins each and player 2 gets no coins. This way the game is repeated until someone quits. If nobody ever quits then they all get nothing. Each player can randomize between the two alternatives and maximizes his expected payoff. The game is presented in the figure below, where the players' payoffs are shown as the components of the vectors. pass pass pass pass player 1 player 2 player 3 player 4 quit quit quit quit (1; 2; 2; 0) (0; 1; 2; 2) (2; 0; 1; 2) (2; 2; 0; 1) Bargaining problems have been studied extensively in game theory literature [4, 6, 7]. Our game can be seen as a barganing problem where the players cannot make their own offers but can only accept or decline the given division. Furthermore, the game is a special case of a so-called sequential quitting game which have been studied, for example, in [5, 9]. -
The London Bullion Market Association Responsible Gold Guidance
The London Bullion Market Association Responsible Gold Guidance About the London Bullion Market Association The LBMA is the international trade association that represents the market for gold and silver bullion, which is centred in London but has a global client base, including the majority of the central banks that hold gold, private sector investors, mining companies, producers, refiners and fabricators. The current membership includes 129 companies which are actively involved in the loco London bullion market, including trading houses, banks, refiners, miners and fabricators as well as those providing services to the market such as consultants, supervisors and assayers. The membership encompasses a total of 22 countries. The LBMA was formally incorporated in 1987 at the behest of the Bank of England to take over the roles previously played by two separate organisations, the London Gold Market and London Silver Market, whose origins go back to the mid-nineteenth century. The LBMA Good Delivery List In the refining industry, the LBMA Good Delivery List includes the world’s pre-eminent refiners of gold and silver, located in 31 countries. The List is widely recognized as the de facto standard for the quality of gold and silver market bars. This recognition is based on the stringent criteria that applicants must satisfy before being listed, as well as the regular proactive monitoring of accredited refiners by the LBMA. In addition to satisfying the LBMA’s technical standards, a refiner seeking LBMA accreditation must meet a number of non-technical criteria in relation to ownership, tangible net worth and operating history. In response to the Dodd-Frank legislation on conflict minerals emanating from the DRC, the LBMA has informed all gold refiners on the List that in order to maintain their Good Delivery status, they will have to demonstrate that their refined output is conflict-free. -
EVALUATION of VARIOUS FACIAL ANTHROPOMETRIC PROPORTIONS in INDIAN AMERICAN WOMEN Chakravarthy Marx Sadacharan
Facial anthropometric proportions Rev Arg de Anat Clin; 2016, 8 (1): 10-17 ___________________________________________________________________________________________ Original Communication EVALUATION OF VARIOUS FACIAL ANTHROPOMETRIC PROPORTIONS IN INDIAN AMERICAN WOMEN Chakravarthy Marx Sadacharan Department of Anatomy, School of Medicine, American University of Antigua (AUA), Antigua, West Indies RESUMEN ABSTRACT El equililbrio y la armonía de los diferentes rasgos de The balance and harmony of various facial features la cara son esenciales para el cirujano quien debe are essential to surgeon who requires facial analysis in analizar la cara para poder planificar su tratamiento. the diagnosis and treatment planning. The evaluation La evaluación de la cara femenina se puede hacer por of female face can be made by various linear medio de medidas lineales, angulares y proporciones. measurements, angles and ratios. The aim of this El propósito de esta investigación es examinar varias study was to investigate various facial ratios in Indian proporciones faciales en las mujeres aborígenes American women and to compare them with the Indian americanas y compararlas con las normas de las and Caucasian norms. Additionally, we wanted to personas indias (de India) y las personas caucásicas. evaluate whether these values satisfy golden and Tambien queriamos saber si estas normas satisfacen silver ratios. Direct facial anthropometric measur- las proporciones de oro y de plata. Las medidas ements were made using a digital caliper in 100 Indian faciales antropometricas se tomaron utillizando un American women students (18 - 30 years) at the calibre digital en cien estudiantes aborigenes American University of Antigua (AUA), Antigua. A set americanas (18-30 años) en la Universidad Americana of facial ratios were calculated and compared with de Antigua (AUA). -
The Last Central Bank Gold Agreement
ALCHEMIST ISSUE 96 THE LAST CENTRAL BANK GOLD AGREEMENT This is an extract from the European Since 1999 the OVER TIME INNOVATIONS gold market has IN FINANCIAL ENGINEERING Central Bank (ECB) Economic Bulletin, grown and matured FACILITATED THE USE OF GOLD Issue 7 2019, reproduced with the in terms of liquidity AS A FINANCIAL INSTRUMENT 2 kind permission of the ECB. and investor base . THANKS TO THE DEVELOPMENT The structure of the OF EXCHANGE-TRADED gold market differs The last Central Bank Gold Agreement (CBGA) expired in September from that of other PRODUCTS TRACKING GOLD 2019 after 20 years of such agreements. The CBGAs’ signatories financial assets, as PRICES AND BACKED BY included the Eurosystem and the central banks of Sweden, Switzerland gold does not only PHYSICAL GOLD and – initially – the United Kingdom. The first CBGA1 was set up in 1999 serve investment for a five-year period, when concerns about the negative market impact of purposes, but also has practical uses. At the time of the first CBGA, uncoordinated gold sales by central banks were evident, and increasing, the diversity of demand for physical gold was low and concentrated in the gold market. The goal of the CBGAs was to help stabilise the gold in jewellery, while the contribution to demand from the official sector market by alleviating these concerns, relieving downward pressure on was negative. gold prices, and contributing towards more balanced supply and demand conditions by limiting and coordinating central banks’ gold sales. The CHART A Agreement was renewed three times, each time for a five-year period. -
Mathematical Constants and Sequences
Mathematical Constants and Sequences a selection compiled by Stanislav Sýkora, Extra Byte, Castano Primo, Italy. Stan's Library, ISSN 2421-1230, Vol.II. First release March 31, 2008. Permalink via DOI: 10.3247/SL2Math08.001 This page is dedicated to my late math teacher Jaroslav Bayer who, back in 1955-8, kindled my passion for Mathematics. Math BOOKS | SI Units | SI Dimensions PHYSICS Constants (on a separate page) Mathematics LINKS | Stan's Library | Stan's HUB This is a constant-at-a-glance list. You can also download a PDF version for off-line use. But keep coming back, the list is growing! When a value is followed by #t, it should be a proven transcendental number (but I only did my best to find out, which need not suffice). Bold dots after a value are a link to the ••• OEIS ••• database. This website does not use any cookies, nor does it collect any information about its visitors (not even anonymous statistics). However, we decline any legal liability for typos, editing errors, and for the content of linked-to external web pages. Basic math constants Binary sequences Constants of number-theory functions More constants useful in Sciences Derived from the basic ones Combinatorial numbers, including Riemann zeta ζ(s) Planck's radiation law ... from 0 and 1 Binomial coefficients Dirichlet eta η(s) Functions sinc(z) and hsinc(z) ... from i Lah numbers Dedekind eta η(τ) Functions sinc(n,x) ... from 1 and i Stirling numbers Constants related to functions in C Ideal gas statistics ... from π Enumerations on sets Exponential exp Peak functions (spectral) .. -
Metallic Ratios in Primitive Pythagorean Triples : Metallic Means Embedded in Pythagorean Triangles and Other Right Triangles
Journal of Advances in Mathematics Vol 20 (2021) ISSN: 2347-1921 https://rajpub.com/index.php/jam DOI: https://doi.org/10.24297/jam.v20i.9088 Metallic Ratios in Primitive Pythagorean Triples : Metallic Means embedded in Pythagorean Triangles and other Right Triangles Dr. Chetansing Rajput M.B.B.S. Nair Hospital (Mumbai University) India, Asst. Commissioner (Govt. of Maharashtra) Email: [email protected] Website: https://goldenratiorajput.com/ Lecture Link 1 : https://youtu.be/LFW1saNOp20 Lecture Link 2 : https://youtu.be/vBfVDaFnA2k Lecture Link 3 : https://youtu.be/raosniXwRhw Lecture Link 4 : https://youtu.be/74uF4sBqYjs Lecture Link 5 : https://youtu.be/Qh2B1tMl8Bk Abstract The Primitive Pythagorean Triples are found to be the purest expressions of various Metallic Ratios. Each Metallic Mean is epitomized by one particular Pythagorean Triangle. Also, the Right Angled Triangles are found to be more “Metallic” than the Pentagons, Octagons or any other (n2+4)gons. The Primitive Pythagorean Triples, not the regular polygons, are the prototypical forms of all Metallic Means. Keywords: Metallic Mean, Pythagoras Theorem, Right Triangle, Metallic Ratio Triads, Pythagorean Triples, Golden Ratio, Pascal’s Triangle, Pythagorean Triangles, Metallic Ratio A Primitive Pythagorean Triple for each Metallic Mean (훅n) : Author’s previous paper titled “Golden Ratio” cited by the Wikipedia page on “Metallic Mean” [1] & [2], among other works mentioned in the References, have already highlighted the underlying proposition that the Metallic Means -
Dynamics of Units and Packing Constants of Ideals
Perspectives • Continued Fractions in Q(√D) Dynamics of units and • The Diophantine semigroup packing constants of ideals • Geodesics in SL2(R)/SL2(Z) • (Classical) Arithmetic Chaos • Well-packed ideals Curtis T McMullen 1 Harvard University • Dynamics of units on P (Z/f) • Link Littlewood & Zaremba conjectures Continued Fractions Diophantine numbers Q. How to test if a real number x is in Q? x = [a , a , a , a , ...] = a + 1 0 1 2 3 0 a + 1 Q. How to test if a real number x is in Q(√D)? 1 a2 + 1 a3 + ... 1 x = [a0, a 1, a 2, a 3, ...] = a0 + a1 + 1 a2 + 1 BN = {x real : ai ≤N} a3 + ... BN-Q is a Cantor set of dim→1 as N→∞. A. x is in Q(√D) iff ai’s repeat. Conjecture: x algebraic and Diophantine iff x is rational or quadratic Diophantine sets in [0,1] Examples BN = {x : ai ≤N} γ = golden ratio = (1+√5)/2 = [1,1,1,1....] = [1] σ = silver ratio = 1+√2 = [2] [1,2,2,2] (√30) B2 [1,2] Q(√3) Q [1,2,2] Q(√85) [1,1,1,2] Q(√6) [1,1,2] Q(√10) [1,1,2,2] Q(√221) B4 Question: Does Q(√5) contain infinitely many periodic continued fractions with ai ≤ M? Thin group perspective Theorem Every real quadratic field contains infinitely GN = Diophantine semigroup in SL2(Z) many uniformly bounded, periodic continued fractions. generated by Wilson, Woods (1978) 01 01 01 ( 11) , ( 12) ,...( 1 N ) . Example: [1,4,2,3], [1,1,4,2,1,3], [1,1,1,4,2,1,1,3].. -
Lending and Borrowing Metal Lending Allocated Metal Options
Editor’s Note SECTION 9 Introduction London Bullion Market Association Lending and Borrowing London Platinum and Palladium Market Metal The Price London Good Delivery – Gold and Silver Deposits and Leases Good Delivery – Platinum and Palladium London Precious Metals Clearing Limited Calculation Basis Precious Metal Accounts Interest Paid in Currency or Metal Lending and Borrowing Metal Lending Allocated Metal Options Precious Metal Benchmarks Forwards Bank of England Outright Forwards Futures Markets and Exchange Traded Products Forward Forwards Physical Metal Documentation Short Dated Forwards Market Regulation Transaction Dates Taxation ‘End End’ Convention Conversion Table Key Facts about Precious Metals Market Size Clearing Statistics Contango or Backwardation Market Trade Statistics Central Bank and Governmental What Determines Metal Interest Rates Ownership of Gold Properties of Precious Metals Receiving Interest on a Deposit Frequently Asked Questions Options Annexes Disclaimer BACK TO CONTENTS 39 THE GUIDE 2017 - Version 1.0 Editor’s Note Lending and Borrowing Metal Introduction London Bullion Market Association It is often blithely asserted that precious metals have no interest rate. At maturity, the loan can be rolled over (depending on credit This is incorrect. considerations), either with the existing lender or with another bank. London Platinum and Palladium Market The lender has full credit exposure to the borrower over the amount of The Price Deposits and Leases the loan – the currency value of which will fluctuate as the underlying The rationale for lending and, particularly, borrowing metal will vary metal price increases or decreases. London Good Delivery – Gold and Silver between gold, silver, platinum and palladium. However, very broadly speaking, lenders of metals will be seeking a return on their investment, However, it is unlikely that the fibreglass manufacturer will have ready Good Delivery – Platinum and Palladium whereas the borrowers will have a variety of motives. -
Outlookmerge Template
The Honourable Mary L. Schapiro Chairman U.S. Securities and Exchange Commission 100 F Street, NE Washington, DC 20549 United States of America 5th August 2011 Re: Proposed Rule Release No. 34-63547; File No. S7-40-10 Dear Chairman Schapiro, LBMA Comments Relating To Dodd-Frank Section 1502 Conflict Mineral Legislation The London Bullion Market Association submits this letter in parallel with the statement dated 29th July 2011, made by the participants in the multi-stakeholder forum for conflict-free mineral supply chains, convened by the International Conference on the Great Lakes Region (ICGLR), the Organisation for Economic Co-operation and Development (OECD) and the UN Group of Experts on the Democratic Republic of the Congo (UN GoE on DRC). The LBMA would like to express its broad support for the above-mentioned statement and to highlight the main issues which relate particularly to the gold market. About the London Bullion Market Association The LBMA is the international trade association that represents the wholesale over-the-counter (OTC) market for gold and silver bullion, physically based in London. The current members are shown on the attached list. London is the focus of the international OTC market for gold and silver with a client base including the majority of the central banks that hold gold, plus producers, refiners, fabricators and other traders throughout the world. The LBMA was formally incorporated in 1987 in close consultation with the Bank of England. In the refining industry, the LBMA Good Delivery (GD) List is widely recognized as the de facto standard for the quality of gold and silver market bars.