On Mathematics, Complexity and Life
Автор: Boleslaw Kacewicz
Год издания: 0000
Mivar NETs and logical inference with the linear complexity
Автор: Олег Варламов
Год издания:
MIVAR: Transition from Productions to Bipartite Graphs MIVAR Nets and Practical Realization of Automated Constructor of Algorithms Handling More than Three Million Production Rules. The theoretical transition from the graphs of production systems to the bipartite graphs of the MIVAR nets is shown. Examples of the implementation of the MIVAR nets in the formalisms of matrixes and graphs are given. The linear computational complexity of algorithms for automated building of objects and rules of the MIVAR nets is theoretically proved. On the basis of the MIVAR nets the UDAV software complex is developed, handling more than 1.17 million objects and more than 3.5 million rules on ordinary computers. The results of experiments that confirm a linear computational complexity of the MIVAR method of information processing are given.
A Wealth of Common Sense. Why Simplicity Trumps Complexity in Any Investment Plan
Автор: Ben Carlson
Год издания:
A simple guide to a smarter strategy for the individual investor A Wealth of Common Sense sheds a refreshing light on investing, and shows you how a simplicity-based framework can lead to better investment decisions. The financial market is a complex system, but that doesn't mean it requires a complex strategy; in fact, this false premise is the driving force behind many investors' market «mistakes.» Information is important, but understanding and perspective are the keys to better decision-making. This book describes the proper way to view the markets and your portfolio, and show you the simple strategies that make investing more profitable, less confusing, and less time-consuming. Without the burden of short-term performance benchmarks, individual investors have the advantage of focusing on the long view, and the freedom to construct the kind of portfolio that will serve their investment goals best. This book proves how complex strategies essentially waste these advantages, and provides an alternative game plan for those ready to simplify. Complexity is often used as a mechanism for talking investors into unnecessary purchases, when all most need is a deeper understanding of conventional options. This book explains which issues you actually should pay attention to, and which ones are simply used for an illusion of intelligence and control. Keep up with—or beat—professional money managers Exploit stock market volatility to your utmost advantage Learn where advisors and consultants fit into smart strategy Build a portfolio that makes sense for your particular situation You don't have to outsmart the market if you can simply outperform it. Cut through the confusion and noise and focus on what actually matters. A Wealth of Common Sense clears the air, and gives you the insight you need to become a smarter, more successful investor.
Finance, Economics, and Mathematics
Автор: Robert Merton C.
Год издания:
The compiled works of the man behind the evolution of quantitative finance Finance, Economics, and Mathematics is the complete Vasicek reference work, including published and unpublished work and interviews with the man himself. The name Oldrich A. Vasicek is synonymous with cutting-edge research in the finance fields, and this book comes straight from the source to bring you the undiluted mother lode of quant wisdom from one of the founders of the field. From his early work in yield curve dynamics, to the mean-reverting short-rate model, to his thoughts on derivatives pricing, to his work on credit risk, to his most recent research on the economics of interest rates, this book represents the life's work of an industry leader. Going beyond the papers, you'll also find the more personal side inspirational as Vasicek talks about the academics and professionals who made lasting impressions and collaborated, debated, and ultimately helped spawn some of his greatest thinking. Oldrich Vasicek has won virtually every important award and prize for his groundbreaking research in quantitative finance. You've followed his work for years; this book puts it all in a single volume to give you the definitive reference you'll turn to again and again. Explore Vasicek's insights on topics he helped create Discover his research and ideas that have gone unpublished—until now Understand yield curves and the Vasicek model from the source himself Gain a reference collection of some of the most influential work in quantitative finance Vasicek's research is the foundation of one of the most important innovations in finance. Quants around the world have been influenced by his ideas, and his status as thought leader is cemented in the annals of finance history. Finance, Economics, and Mathematics is the definitive Vasicek reference every finance professional needs.
Mindset Mathematics. Visualizing and Investigating Big Ideas, Grade 4
Автор: Джо Боулер
Год издания:
Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
Essential Mathematics for Market Risk Management
Автор: Simon Hubbert
Год издания:
Everything you need to know in order to manage risk effectively within your organization You cannot afford to ignore the explosion in mathematical finance in your quest to remain competitive. This exciting branch of mathematics has very direct practical implications: when a new model is tested and implemented it can have an immediate impact on the financial environment. With risk management top of the agenda for many organizations, this book is essential reading for getting to grips with the mathematical story behind the subject of financial risk management. It will take you on a journey—from the early ideas of risk quantification up to today's sophisticated models and approaches to business risk management. To help you investigate the most up-to-date, pioneering developments in modern risk management, the book presents statistical theories and shows you how to put statistical tools into action to investigate areas such as the design of mathematical models for financial volatility or calculating the value at risk for an investment portfolio. Respected academic author Simon Hubbert is the youngest director of a financial engineering program in the U.K. He brings his industry experience to his practical approach to risk analysis Captures the essential mathematical tools needed to explore many common risk management problems Website with model simulations and source code enables you to put models of risk management into practice Plunges into the world of high-risk finance and examines the crucial relationship between the risk and the potential reward of holding a portfolio of risky financial assets This book is your one-stop-shop for effective risk management.