- •Welcome to mathematics
- •Пояснительная записка
- •Contents
- •Part a. Introduction to science Unit 1. Mathematics
- •Text 1. Mathematics
- •Unit 2. Basic geometric concepts
- •Text 2. Basic geometric concepts
- •Unit 3. Texts for extracurricular work
- •Prize for Resolution of the Poincare Conjecture Awarded to Dr. Grigoriy Perelman
- •Mathematical finance
- •About a Line and a Triangle
- •Computer Algebra
- •Computer Software in Science and Mathematics
- •The Main Principles of Axiomatic Methods
- •Fields Medal (1650 characters)
- •Mathematical economics
- •A modern view of geometry
- •Mathematical programming
- •Part b. Science itself Unit 4. Did Darwin's Finches Do Math?
- •Text 1. Did Darwin's Finches Do Math?
- •Unit 5. Introduction to computational complexity
- •Text 2. Introduction to computational complexity
- •Unit 6. When you read an article....
- •Text 1. Special Issue Introduction: Algorithmic Game Theory
- •Unit 7. Abstracts
- •Abstract 1. Streaming Computation of Delaunay Triangulations (fragment 1)
- •Abstract 2. Scaling and shear transformations capture beak shape variation in Darwin’s finches
- •Abstract 3. A proof of the Gibbs-Thomson formula in the droplet formation regime (fragment 1)
- •Abstract 4. Nonlinear Cauchy-Kowalewski theorem in extrafunctions
- •Unit 8. Conclusion
- •Streaming Computation of Delaunay Triangulations (fragment 2)
- •Unit 9. Texts for extracurricular work
- •Introduction
- •2. Processing large geometric data sets
- •2.1 Algorithms for large data sets
- •2.2 Delaunay triangulations and large data sets
- •Text 3. A proof of the Gibbs-Thomson formula in the droplet formation regime. The problem (fragment 2) (770 characters) Biskup m, Chayes l. And Kotecky r.
- •Text 4. Sublinear Time Bounds (770 characters) Martin Tompa
- •Appendix Learn to read math symbols
- •Words and words combinations used in the texts
- •Wording of mathematics formulae
- •References
- •Welcome to mathematics
- •Подписано в печать Тираж зкз.
- •625003, Тюмень, Семакова, 10.
Unit 6. When you read an article....
Task 1. Match the equivalents:
1. The algorithmic game theory 2. The most prominent researchers 3. The key point 4. A current research 5. A design 6. An automated method 7. A competitive game 8. An approximation 9. A scaling 10. Elaborate 11. Applicable |
A. A game in which rivals try to win over each other B. A method which is not performed by humans C. The nowadays research D. The most important aspects of the work E. A creation of something F. The game theory based on the algorithms G. People who made the biggest contribution into some particular field of research H. Something that can be used in this sphere I. A process of estimating a figure J. A system of items of increasing or decreasing order, size, value K. Very detailed or complicated, carefully planned |
Task 2. Look at the underlined words, translate them and explain their purpose, fill in the table below:
Text 1. Special Issue Introduction: Algorithmic Game Theory
This special issue of AI Magazine aims to highlight cutting-edge artificial intelligence research in algorithmic game theory, and contains articles written by some of the most prominent researchers in the field. Our goal was to provide a broad sampling of state-of-the-art AI work in algorithmic game theory, emphasizing exciting applications and written in an accessible manner. Specifically, we aimed to achieve balance between three key topics in current research. The first, game playing, considers the design of automated methods for playing competitive games popular among humans. It focuses on scaling up classical game-theoretic ideas to the huge domains necessary to model these settings; extending these ideas to deal with the approximations introduced by this scaling; and addressing the prescriptive problem of how an agent should act when it is not sure that its opponent is perfectly rational. The second topic is social choice, the aggregation of preferences across agents, either through an explicit voting scheme or implicitly through a prediction market. The final topic is mechanism design, which can be understood as the design of protocols for decision making among noncooperative clients. Here much AI research focuses on elaborations to existing models, with the goal of making them more applicable to anonymous, dynamic environments such as the Internet.
Order |
Purpose |
Specification |
1. The first 2. _______ |
1. Aims to 2. _______ |
1. Contains 2. ________ |
Task 3. Translate the text using the vocabulary, mind the sentence structure
Unit 7. Abstracts
Task 1. Look at the following abstracts, find their differences and common features. Which abstracts describe the research done? Which abstracts represent the current situation at the scientific field?
Task 2. Look at the words in italics and say what they are used for.
