- •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.
Wording of mathematics formulae
½ |
– a half , one half |
|
0 |
– [ou], zero [‘zirou] |
|
+ |
– plus |
|
– |
– minus |
|
* |
– multiplication sign |
|
( ) |
– round brackets |
|
a` |
– a prime |
|
a`` |
– a second prime; a double prime; a twice dashed |
|
F1 |
– F sub one; F first |
|
F2 |
– F sub two; F second |
|
ab` |
– a multiplied by b prime |
|
Х² |
– x square; x squared; x to the second power; x raised to the second power; the square of x; the second power of x; |
|
Y³ |
– y cube; y cubed; y to the third (power); y raised to the third power; the cube of y; the third power of y; |
|
Z¹º |
– z to minus tenth (power) |
|
C |
– constant |
|
x > 0 |
– x is greater than 0 |
|
x < 0 |
– x is less than 0 |
|
a = x |
– a is equal to x |
|
U = X² |
– u is equal to(equals) x square |
|
F = m*a |
– force is equal to mass multiplied by acceleration; F is equal to m multiplied by a |
|
U=1/(1+X²) |
– u is equal to the ratio of one to one plus x square |
|
½ bh |
– half of the reoduct bh |
|
y = 1 + cos x |
– y is equal to one plus cosine x |
Sn → A |
– sub n tends to A |
q = m` / n` |
– q is equal to m prime divided by n prime |
q = nm`/ N |
– q is equal to n multiplied by m prime divided by N |
y = f(x) |
– y is a function of x |
u=f(x) – aо+a1x2 + aх2+ах
|
– u is a function of x is equal to a sub 0 ou plus a sub one more one multiplied by x plus a sub two multiplied by x to the 2nd power plus a sub multiplied by x to the n-th power |
d² = (y1 – y2)І |
– d square is equal to, round brackets opened, y sub one minus y sub two, round brackets closed, square |
X² + 2n – 3 = f(x)
|
– x square plus two multiplied by n minus three is a function of x |
ds / dx |
– first derivative of s with to x |
log x |
– corresponds to the Russian ln x |
References
Couranf R., Robbins H. Plateu’s Problem. – New York. Oxford, 1993.
Culbertson J.T.. Mathematics and Logic for Digital Devices. – London. Toronto, 1996.
Fox L. The Numerical Solution of Two-Point Boundary Problem in Ordinary Differential Equations. – Oxford, 1997.
Kulczycki S. Non-Euclidean Geometry. – New York. Oxford, 1989.
Burgin M. Nonlinear Cauchy-Kowalewski theorem in extrafunctions. – On-line available: http://www.math.ucla.edu/research/reports/index.shtml
Biskup M, Chayes L. and Kotecky R. A proof of the Gibbs-Thomson formulain the droplet formation regime. – On-line available:http://www.math.ucla.edu/research/reports/index.shtml
Cipra B. Did Darwin finches do Math? – On-line available: http://news.sciencemag.org/sciencenow/2010/02/did-darwins-finches-do-math.html
Isenburg M. Streaming Computation of Delaunay Triangulations. – On-line available: http://www.cs.unc.edu/~isenburg/papers/ilss-scdt-06.pdf
Tompa M. Introduction to Computational Complexity. – On-line available: http://www.cs.washington.edu/homes/tompa/papers/532.pdf
Wikipedia. The free encyclopedia. On-line available: http://en.wikipedia.org/wiki/Main_Page
Екатерина Накиевна Абдразакова
Елена Юрьевна Шутова
