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Unizor | Creative Mind through Art of Mathematics
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Science

Unizor | Creative Mind through Art of Mathematics - Science

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Unizor | Creative Mind through Art of Mathematics

17.10.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 1: UNIZOR.COM - Classic Physics+ - Laws of...

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...

Unizor | Creative Mind through Art of Mathematics

12.10.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Potential Theorem: UNIZOR.COM - Classic Physics+ - Laws of Newton

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...

Unizor | Creative Mind through Art of Mathematics

10.10.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Work Lemmas: UNIZOR.COM - Classic Physics+ - Laws of Newton

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...

Unizor | Creative Mind through Art of Mathematics

02.10.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Field, Potential: UNIZOR.COM - Classic Physics+ - Laws of Newto...

Notes to a video lecture on UNIZOR.COM Field, Potential The prototype for an abstract concept of a field presented below is a gravitat...

Unizor | Creative Mind through Art of Mathematics

30.09.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Recap of Newton's Laws: UNIZOR.COM - Classic Physics+ - Laws of...

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 ...

Unizor | Creative Mind through Art of Mathematics

28.09.2024

Unizor - Creative Mind through Art of Mathematics: Physics+ Introduction: UNIZOR.COM - Physics+

Notes to a video lecture on UNIZOR.COM Classic Physics + Introduction This course contains material not usually addressed in high scho...

Unizor | Creative Mind through Art of Mathematics

23.09.2024

Unizor - Creative Mind through Art of Mathematics: Matrices+ 03 - Eigenvalues in 3D: UNIZOR.COM - Math+ & Problems - Matrices

Notes to a video lecture on http://www.unizor.com Matrices+ 02 Eigenvalues in 3D Problem A Find all eigenvalues and eigenvectors of ...

Unizor | Creative Mind through Art of Mathematics

17.09.2024

Unizor - Creative Mind through Art of Mathematics: Matrices+ 02 - Eigenvalues: UNIZOR.COM - Math+ & Problems - Matrices

Notes to a video lecture on http://www.unizor.com Matrices+ 02 Matrix Eigenvalues The concepts addressed in this lecture for two-dimen...

Unizor | Creative Mind through Art of Mathematics

30.08.2024

Unizor - Creative Mind through Art of Mathematics: Matrices+ 01 - Matrix as Operator: UNIZOR.COM - Math+ & Problems - Matrices

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...

Unizor | Creative Mind through Art of Mathematics

27.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 11 - 2D Vector · Complex scalar: UNIZOR.COM - Math+ & Problems ...

Notes to a video lecture on http://www.unizor.com Vectors+ 11 2D Vector · Complex scalar We know that a two-dimensional vector multipl...

Unizor | Creative Mind through Art of Mathematics

27.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 10 Complex Hilbert Space: UNIZOR.COM - Math+ & Problems - Vectors

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...

Unizor | Creative Mind through Art of Mathematics

16.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 09 Example of Hilbert Space: UNIZOR.COM - Math+ & Problems - Ve...

Notes to a video lecture on http://www.unizor.com Vectors+ 09 Examples of Hilbert Spaces Let's illustrate our theory of Hilbert spaces...

Unizor | Creative Mind through Art of Mathematics

10.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 08 Hilbert Space: UNIZOR.COM - Math+ & Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 08 - Hilbert Space Let's continue building our abstract theory of vector sp...

Unizor | Creative Mind through Art of Mathematics

09.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 07 Abstract Vector Space: UNIZOR.COM - Math+ & Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 07 - Abstract Vector Space This lecture represents a typical mathematical a...

Unizor | Creative Mind through Art of Mathematics

07.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 06 More N-vectors: UNIZOR.COM - Math+ &Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 06 Cauchy-Schwarz-Bunyakovsky Inequality This inequality is also known as ...

Unizor | Creative Mind through Art of Mathematics

06.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 05 More about N-vectors: UNIZOR.COM - Math+ & Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 05 More N-dimensional Vectors Theory Let's summarize the characteristics...

Unizor | Creative Mind through Art of Mathematics

02.08.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 04 - N-dimensional Vectors: UNIZOR.COM - Math+ & Problems - Vec...

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...

Unizor | Creative Mind through Art of Mathematics

29.07.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 03 - Direction Cosines: UNIZOR.COM - Math+ & Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 03 - Direction Cosines Problem A Find three-dimensional vector V (v 1 ,v ...

Unizor | Creative Mind through Art of Mathematics

27.07.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 02 Angle between vectors: UNIZOR.COM - Math+ & Problems - Vectors

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...

Unizor | Creative Mind through Art of Mathematics

19.07.2024

Unizor - Creative Mind through Art of Mathematics: Vectors+ 01 Dot & Cross Products: UNIZOR.COM - Math+ & Problems - Vectors

Notes to a video lecture on http://www.unizor.com Vectors+ 01 Problem A Given a two-dimensional vector A with known coordinates (a ...

Unizor | Creative Mind through Art of Mathematics

13.07.2024

Unizor - Creative Mind through Art of Mathematics: Algebra+ 10 - Function: UNIZOR.COM - Math+ & Problems - Algebra

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...

Unizor | Creative Mind through Art of Mathematics

06.07.2024

Unizor - Creative Mind through Art of Mathematics: Algebra+ 09 - Progressions: UNIZOR.COM - Math+ & Problems - Algebra

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...

Unizor | Creative Mind through Art of Mathematics

01.07.2024

Unizor - Creative Mind through Art of Mathematics: Algebra+ 08 - Fibonacci: UNIZOR.COM - Math+ & Problems - Algebra

Notes to a video lecture on http://www.unizor.com Algebra+ 08 - Fibonacci Note We will use both terms average and mean interchangea...

Unizor | Creative Mind through Art of Mathematics

30.06.2024

Unizor - Creative Mind through Art of Mathematics: Algebra+ 07 - Averages: UNIZOR.COM - Math+ & Problems - Algebra

Notes to a video lecture on http://www.unizor.com Algebra+ 07 Note We will use both terms average and mean interchangeably, but usu...

Unizor | Creative Mind through Art of Mathematics

28.06.2024

Unizor - Creative Mind through Art of Mathematics: Geometry+ 10: UNIZOR.COM - Math+ & Problems - Geometry

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. ...

Unizor | Creative Mind through Art of Mathematics

26.06.2024

Unizor - Creative Mind through Art of Mathematics: Geometry+ 09 : UNIZOR.COM - Math+ & Problems - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ 09 Theorem A Given two parallel lines, point M not on any of them and n...

Unizor | Creative Mind through Art of Mathematics

25.06.2024

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 09 : UNIZOR.COM - Math+ & Problems - Arithmetic

Notes to a video lecture on http://www.unizor.com Arithmetic+ 09 Try to solve this problem without any writing, just in your head. P...

Unizor | Creative Mind through Art of Mathematics

24.06.2024

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 08: UNIZOR.COM - Math+ & Problems - Arithmetic

Notes to a video lecture on http://www.unizor.com Arithmetic+ 08 Try to solve this problem without any writing, just in your head. P...

Unizor | Creative Mind through Art of Mathematics

24.06.2024

Unizor - Creative Mind through Art of Mathematics: Logic+ 11: UNIZOR.COM - Math+ & Problems - Logic

Notes to a video lecture on http://www.unizor.com Logic+ 11 Problem A During an epidemic people tried to sit as far from each other ...

Unizor | Creative Mind through Art of Mathematics

23.06.2024

Unizor - Creative Mind through Art of Mathematics: Logic+ 10: UNIZOR.COM - Math+ & Problems - Logic

Notes to a video lecture on http://www.unizor.com Logic+ 10 Problem A Two mathematicians, Mike and David, have met their classmate H...

Unizor | Creative Mind through Art of Mathematics

21.06.2024

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 07: UNIZOR.COM - Math+ & Problems - Arithmetic

Notes to a video lecture on http://www.unizor.com Arithmetic+ 07 Problem A Two friends mathematicians, Mike and David, met after a l...

Unizor | Creative Mind through Art of Mathematics

18.06.2024

Unizor - Creative Mind through Art of Mathematics: Logic+ 09 - Formal Logic: UNIZOR.COM - Math+ & Problems - Logic

Notes to a video lecture on http://www.unizor.com Logic+ 09 - Formal Logic We will use the following symbols for logical operations: ...

Unizor | Creative Mind through Art of Mathematics

13.06.2024

Unizor - Creative Mind through Art of Mathematics: Logic+ 08: UNIZOR.COM - Math+ &Problems - Logic

Notes to a video lecture on http://www.unizor.com Logic+ 08 Problem A Trains between points A and B are running regularly with the s...

Unizor | Creative Mind through Art of Mathematics

12.06.2024

Unizor - Creative Mind through Art of Mathematics: Logic+ 07 Einstein's Riddle: - UNIZOR.COM - Math+ &Problems - Logic

Notes to a video lecture on http://www.unizor.com Logic+ 07 Problem A This logical problem is known as "Einstein's Riddle" and is co...

Unizor | Creative Mind through Art of Mathematics

11.06.2024

Unizor - Creative Mind through Art of Mathematics

Notes to a video lecture on http://www.unizor.com Logic+ 07 Problem A This logical problem is known as "Einstein's Logical Problem" a...

Unizor | Creative Mind through Art of Mathematics

10.06.2024

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 10: UNIZOR.COM - Math+ & Problems - Trigonometry

Notes to a video lecture on http://www.unizor.com Trigonometry+ 10 Problem A Prove that ∠BAC = &half;∠AOC . Using this, derive th...

Unizor | Creative Mind through Art of Mathematics

05.06.2024

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 09: UNIZOR.COM - Math+ & Problems - Trigonometry

Notes to a video lecture on http://www.unizor.com Trigonometry+ 09 Problem A Prove: lim x→0 [ sin(x)/x ] = 1 Proof A In the lec...

Unizor | Creative Mind through Art of Mathematics

24.04.2024

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 08: UNIZOR.COM - Math+ & Problems - Trigonometry

Notes to a video lecture on http://www.unizor.com Trigonometry+ 08 Problem A Prove the following inequality cos(36°) ≥ tan(36°) ...

Unizor | Creative Mind through Art of Mathematics

20.04.2024

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 07: UNIZOR.COM - Math+ & Problems - Trigonometry

Notes to a video lecture on http://www.unizor.com Trigonometry+ 07 Problem A Prove the following identity 2·arccos [ √ (1+x)/2 ] ...

Unizor | Creative Mind through Art of Mathematics

17.04.2024

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 06: UNIZOR.COM - Math+ & Problems - Trigonometry

Notes to a video lecture on http://www.unizor.com Trigonometry+ 06 Problem A Given ∠α , ∠β and ∠γ are acute angles of a triangle....

home›Unizor | Creative Mind through Art of Mathematics›Science

Unizor | Creative Mind through Art of Mathematics - Science

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 1: UNIZOR.COM - Classic Physics+ - Laws of...

Unizor - Creative Mind through Art of Mathematics: Physics+ Potential Theorem: UNIZOR.COM - Classic Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Work Lemmas: UNIZOR.COM - Classic Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Field, Potential: UNIZOR.COM - Classic Physics+ - Laws of Newto...

Unizor - Creative Mind through Art of Mathematics: Physics+ Recap of Newton's Laws: UNIZOR.COM - Classic Physics+ - Laws of...

Unizor - Creative Mind through Art of Mathematics: Physics+ Introduction: UNIZOR.COM - Physics+

Unizor - Creative Mind through Art of Mathematics: Matrices+ 03 - Eigenvalues in 3D: UNIZOR.COM - Math+ & Problems - Matrices

Unizor - Creative Mind through Art of Mathematics: Matrices+ 02 - Eigenvalues: UNIZOR.COM - Math+ & Problems - Matrices

Unizor - Creative Mind through Art of Mathematics: Matrices+ 01 - Matrix as Operator: UNIZOR.COM - Math+ & Problems - Matrices

Unizor - Creative Mind through Art of Mathematics: Vectors+ 11 - 2D Vector · Complex scalar: UNIZOR.COM - Math+ & Problems ...

Unizor - Creative Mind through Art of Mathematics: Vectors+ 10 Complex Hilbert Space: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 09 Example of Hilbert Space: UNIZOR.COM - Math+ & Problems - Ve...

Unizor - Creative Mind through Art of Mathematics: Vectors+ 08 Hilbert Space: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 07 Abstract Vector Space: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 06 More N-vectors: UNIZOR.COM - Math+ &Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 05 More about N-vectors: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 04 - N-dimensional Vectors: UNIZOR.COM - Math+ & Problems - Vec...

Unizor - Creative Mind through Art of Mathematics: Vectors+ 03 - Direction Cosines: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 02 Angle between vectors: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Vectors+ 01 Dot & Cross Products: UNIZOR.COM - Math+ & Problems - Vectors

Unizor - Creative Mind through Art of Mathematics: Algebra+ 10 - Function: UNIZOR.COM - Math+ & Problems - Algebra

Unizor - Creative Mind through Art of Mathematics: Algebra+ 09 - Progressions: UNIZOR.COM - Math+ & Problems - Algebra

Unizor - Creative Mind through Art of Mathematics: Algebra+ 08 - Fibonacci: UNIZOR.COM - Math+ & Problems - Algebra

Unizor - Creative Mind through Art of Mathematics: Algebra+ 07 - Averages: UNIZOR.COM - Math+ & Problems - Algebra

Unizor - Creative Mind through Art of Mathematics: Geometry+ 10: UNIZOR.COM - Math+ & Problems - Geometry

Unizor - Creative Mind through Art of Mathematics: Geometry+ 09 : UNIZOR.COM - Math+ & Problems - Geometry

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 09 : UNIZOR.COM - Math+ & Problems - Arithmetic

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 08: UNIZOR.COM - Math+ & Problems - Arithmetic

Unizor - Creative Mind through Art of Mathematics: Logic+ 11: UNIZOR.COM - Math+ & Problems - Logic

Unizor - Creative Mind through Art of Mathematics: Logic+ 10: UNIZOR.COM - Math+ & Problems - Logic

Unizor - Creative Mind through Art of Mathematics: Arithmetic+ 07: UNIZOR.COM - Math+ & Problems - Arithmetic

Unizor - Creative Mind through Art of Mathematics: Logic+ 09 - Formal Logic: UNIZOR.COM - Math+ & Problems - Logic

Unizor - Creative Mind through Art of Mathematics: Logic+ 08: UNIZOR.COM - Math+ &Problems - Logic

Unizor - Creative Mind through Art of Mathematics: Logic+ 07 Einstein's Riddle: - UNIZOR.COM - Math+ &Problems - Logic

Unizor - Creative Mind through Art of Mathematics

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 10: UNIZOR.COM - Math+ & Problems - Trigonometry

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 09: UNIZOR.COM - Math+ & Problems - Trigonometry

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 08: UNIZOR.COM - Math+ & Problems - Trigonometry

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 07: UNIZOR.COM - Math+ & Problems - Trigonometry

Unizor - Creative Mind through Art of Mathematics: Trigonometry+ 06: UNIZOR.COM - Math+ & Problems - Trigonometry

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