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Unizor | Creative Mind through Art of Mathematics
01.04.2025
Notes to a video lecture on UNIZOR.COM Laws of Newton - 2nd-order Curves We talk here about second-order curves because they describe...
30.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Parabola Optics Though the word "optics" sounds very much like a topic of ...
29.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Parabola Parabola is a class of curves on a plane with the following defi...
27.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Asymptotes Let's start with a definition of an asymptote. From ...
24.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Optics Though the word "optics" sounds very much like a topic of...
21.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Ellipse Optics Though the word "optics" sounds very much like a topic of P...
18.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Hyperbola is another class of curves on a plane with the follow...
15.03.2025
Notes to a video lecture on http://www.unizor.com Geometry+ Ellipse Certain curves on a plane have common properties that allow to com...
18.02.2025
Notes to a video lecture on UNIZOR.COM Laws of Newton - Planet Orbits Kepler's First Law states that all planets move around the Sun o...
16.01.2025
Notes to a video lecture on UNIZOR.COM Laws of Newton - Gravitation of Two Objects We recommend to refresh your knowledge of the gravi...
11.01.2025
Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 5 Problem A A point mass M is uniformly rotating within a plane with...
10.01.2025
Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 3 Problem A chain of infinitesimally small links with overall length ...
Notes to a video lecture on UNIZOR.COM Central Force Field The subject of this lecture is a theory behind practical problems of space t...
Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 4 Problem This problem is related to an effect on rotation of a figur...
Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 2 Problem A chain of infinitesimally small links with overall length ...
17.10.2024
Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 1 Problem A Prove that gravitational force of a point mass is conserv...
12.10.2024
Notes to a video lecture on UNIZOR.COM Potential Theorem As you recall, we have defined a field as an area (a subset) of points in our...
10.10.2024
Notes to a video lecture on UNIZOR.COM Field Work Lemmas In the previous lecture we have introduced the concepts of a field and field i...
02.10.2024
Notes to a video lecture on UNIZOR.COM Field, Potential The prototype for an abstract concept of a field presented below is a gravitat...
30.09.2024
Notes to a video lecture on UNIZOR.COM Recap of Newton's Laws Laws of Mechanics introduced by Newton assume existing and usage for our ...
28.09.2024
Notes to a video lecture on UNIZOR.COM Classic Physics + Introduction This course contains material not usually addressed in high scho...
23.09.2024
Notes to a video lecture on http://www.unizor.com Matrices+ 02 Eigenvalues in 3D Problem A Find all eigenvalues and eigenvectors of ...
17.09.2024
Notes to a video lecture on http://www.unizor.com Matrices+ 02 Matrix Eigenvalues The concepts addressed in this lecture for two-dimen...
30.08.2024
Notes to a video lecture on http://www.unizor.com Matrices+ 01 Matrix as Operator In the beginning matrices were just tables of real n...
27.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 10 Complex Hilbert Spaces As we know, a Hilbert space consists of (a) an a...
Notes to a video lecture on http://www.unizor.com Vectors+ 11 2D Vector · Complex scalar We know that a two-dimensional vector multipl...
16.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 09 Examples of Hilbert Spaces Let's illustrate our theory of Hilbert spaces...
10.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 08 - Hilbert Space Let's continue building our abstract theory of vector sp...
09.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 07 - Abstract Vector Space This lecture represents a typical mathematical a...
07.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 06 Cauchy-Schwarz-Bunyakovsky Inequality This inequality is also known as ...
06.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 05 More N-dimensional Vectors Theory Let's summarize the characteristics...
02.08.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 04 N-dimensional Vectors Theory 1. A single real number R can be repres...
29.07.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 03 - Direction Cosines Problem A Find three-dimensional vector V (v 1 ,v ...
27.07.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 02 Problem A Unknown vector X (x 1 ,x 2 ) is defined as a linear combina...
19.07.2024
Notes to a video lecture on http://www.unizor.com Vectors+ 01 Problem A Given a two-dimensional vector A with known coordinates (a ...
13.07.2024
Notes to a video lecture on http://www.unizor.com Algebra+ 10 - Functions Problem A Prove that function f(x) = x/(1+x²) is (a) mo...
06.07.2024
Notes to a video lecture on http://www.unizor.com Algebra+ 09 - Progression Problem A Solve the following equation X 3 +7·X 2 −21·X...
01.07.2024
Notes to a video lecture on http://www.unizor.com Algebra+ 08 - Fibonacci Note We will use both terms average and mean interchangea...
30.06.2024
Notes to a video lecture on http://www.unizor.com Algebra+ 07 Note We will use both terms average and mean interchangeably, but usu...
28.06.2024
Notes to a video lecture on http://www.unizor.com Geometry+ 10 Problem A Given two parallel lines and a segment AB on one of them. ...