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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

25.08.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Lagrangian: UNIZOR.COM - Physics+ 4 All - Lagrangian

Notes to a video lecture on UNIZOR.COM Lagrangian First of all, let's stipulate that the Laws of Newton are based on experiment, they a...

Unizor | Creative Mind through Art of Mathematics

25.08.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Pendulum in Lagrangian Mechanics: UNIZOR.COM - Physics+ 4 All -...

Notes to a video lecture on UNIZOR.COM Mathematical Pendulum Plain Pendulum We will illustrate the application of Lagrangian mechanic...

Unizor | Creative Mind through Art of Mathematics

25.08.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Brachistochrone: UNIZOR.COM - Physics+ 4 All - Variations

Notes to a video lecture on UNIZOR.COM Brachistochrone The approach to choose a path along which any system progresses (light propagate...

Unizor | Creative Mind through Art of Mathematics

08.08.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Euler Lagrange Equation: UNIZOR.COM - Physics+ - Variations

Notes to a video lecture on UNIZOR.COM Euler-Lagrange Equation Based on theoretical knowledge of functionals, their extremums and calcu...

Unizor | Creative Mind through Art of Mathematics

29.07.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX Problem 1: UNIZOR.COM - Physics+ 4 All - Variations

Notes to a video lecture on UNIZOR.COM Min/Max Variation Problem 1 Problem 1 Among all smooth (sufficiently differentiable) functions...

Unizor | Creative Mind through Art of Mathematics

29.07.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX & Variation: UNIZOR.COM - Physics+ 4 All - Variations

Notes to a video lecture on UNIZOR.COM Min/Max and Variation In this lecture we continue discussing the problem of finding a local extr...

Unizor | Creative Mind through Art of Mathematics

11.07.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX of Functional: UNIZOR.COM - Physics+ 4 All - Lagrangian

Notes to a video lecture on UNIZOR.COM Lagrangian - Definition of Min/Max of Functional In this lecture we will discuss a concept of a...

Unizor | Creative Mind through Art of Mathematics

01.07.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Functional, Variation: UNIZOR.COM - Physics+ 4 All - Lagrangian

Notes to a video lecture on UNIZOR.COM Lagrangian - Functional and Variation To introduce concepts of Functional (a noun, not an adje...

Unizor | Creative Mind through Art of Mathematics

21.06.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler Third Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Kepler's Third Law Kepler's Third Law states that for all objects moving aroun...

Unizor | Creative Mind through Art of Mathematics

20.06.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Orbit Geometry: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Planet Orbit Geometry Before studying this material we strongly recommend to s...

Unizor | Creative Mind through Art of Mathematics

28.05.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ - Motion in Polar Coordinates: UNIZOR.COM - Physics+ 4 App - La...

Notes to a video lecture on UNIZOR.COM Motion in Polar Coordinates The subject of this lecture is to describe characteristics of moveme...

Unizor | Creative Mind through Art of Mathematics

20.05.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ More on Ellipse: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - More on Ellipse Characteristics Let's get to more details about properties of ...

Unizor | Creative Mind through Art of Mathematics

17.05.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler's Second Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Kepler's Second Law This lecture continues studying movement of objects in a c...

Unizor | Creative Mind through Art of Mathematics

08.04.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler's 1st Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Kepler's First Law Kepler's First Law states that all planets move around the ...

Unizor | Creative Mind through Art of Mathematics

01.04.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ 2nd Order Curves: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - 2nd-order Curves We talk here about second-order curves because they describe...

Unizor | Creative Mind through Art of Mathematics

30.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ Parabola Optics: UNIZOR.COM - Math+ 4 All - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ Parabola Optics Though the word "optics" sounds very much like a topic of ...

Unizor | Creative Mind through Art of Mathematics

29.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ - Parabola: UNIZOR.COM - Math+ 4 All - Geometry

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...

Unizor | Creative Mind through Art of Mathematics

27.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ Hyperbola Asymptotes: UNIZOR.COM - Math+ 4All - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Asymptotes Let's start with a definition of an asymptote. From ...

Unizor | Creative Mind through Art of Mathematics

24.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ - Hyperbola Optics: UNIZOR.COM - Math+ 4 All - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Optics Though the word "optics" sounds very much like a topic of...

Unizor | Creative Mind through Art of Mathematics

21.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ - Ellipse Optics: UNIZOR.COM - Math+ 4 All - Geometry

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...

Unizor | Creative Mind through Art of Mathematics

18.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ Hyperbola: UNIZOR.COM - Math+ 4 All - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ Hyperbola Hyperbola is another class of curves on a plane with the follow...

Unizor | Creative Mind through Art of Mathematics

15.03.2025

Unizor - Creative Mind through Art of Mathematics: Math+ Ellipse: UNIZOR.COM - Math+ 4 All - Geometry

Notes to a video lecture on http://www.unizor.com Geometry+ Ellipse Certain curves on a plane have common properties that allow to com...

Unizor | Creative Mind through Art of Mathematics

18.02.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Planet Orbits: UNIZOR.COM - Physics+ - Laws of Newton

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...

Unizor | Creative Mind through Art of Mathematics

16.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Gravity Two Objects: UNIZOR.COM - Physics+ - Laws ...

Notes to a video lecture on UNIZOR.COM Laws of Newton - Gravitation of Two Objects We recommend to refresh your knowledge of the gravi...

Unizor | Creative Mind through Art of Mathematics

11.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 5: UNIZOR.COM - Physics+ - Laws of Newton

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...

Unizor | Creative Mind through Art of Mathematics

10.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 3: UNIZOR.COM - Physics+ - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 3 Problem A chain of infinitesimally small links with overall length ...

Unizor | Creative Mind through Art of Mathematics

10.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 4: UNIZOR.COM - Physics+ - Laws of Newton

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...

Unizor | Creative Mind through Art of Mathematics

10.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 2: UNIZOR.COM - Physics+ - Laws of Newton

Notes to a video lecture on UNIZOR.COM Laws of Newton - Problem 2 Problem A chain of infinitesimally small links with overall length ...

Unizor | Creative Mind through Art of Mathematics

10.01.2025

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Central Field: UNIZOR.COM - Physics+ - Laws of Newton

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...

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+ 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

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...

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+ Lagrangian: UNIZOR.COM - Physics+ 4 All - Lagrangian

Unizor - Creative Mind through Art of Mathematics: Physics+ Pendulum in Lagrangian Mechanics: UNIZOR.COM - Physics+ 4 All -...

Unizor - Creative Mind through Art of Mathematics: Physics+ Brachistochrone: UNIZOR.COM - Physics+ 4 All - Variations

Unizor - Creative Mind through Art of Mathematics: Physics+ Euler Lagrange Equation: UNIZOR.COM - Physics+ - Variations

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX Problem 1: UNIZOR.COM - Physics+ 4 All - Variations

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX & Variation: UNIZOR.COM - Physics+ 4 All - Variations

Unizor - Creative Mind through Art of Mathematics: Physics+ MIN/MAX of Functional: UNIZOR.COM - Physics+ 4 All - Lagrangian

Unizor - Creative Mind through Art of Mathematics: Physics+ Functional, Variation: UNIZOR.COM - Physics+ 4 All - Lagrangian

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler Third Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Orbit Geometry: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ - Motion in Polar Coordinates: UNIZOR.COM - Physics+ 4 App - La...

Unizor - Creative Mind through Art of Mathematics: Physics+ More on Ellipse: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler's Second Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Kepler's 1st Law: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ 2nd Order Curves: UNIZOR.COM - Physics+ 4 All - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Math+ Parabola Optics: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ - Parabola: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ Hyperbola Asymptotes: UNIZOR.COM - Math+ 4All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ - Hyperbola Optics: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ - Ellipse Optics: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ Hyperbola: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Math+ Ellipse: UNIZOR.COM - Math+ 4 All - Geometry

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Planet Orbits: UNIZOR.COM - Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Gravity Two Objects: UNIZOR.COM - Physics+ - Laws ...

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 5: UNIZOR.COM - Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 3: UNIZOR.COM - Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 4: UNIZOR.COM - Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Problem 2: UNIZOR.COM - Physics+ - Laws of Newton

Unizor - Creative Mind through Art of Mathematics: Physics+ Newton Laws, Central Field: UNIZOR.COM - Physics+ - Laws of Newton

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+ 10 Complex Hilbert Space: UNIZOR.COM - Math+ & Problems - Vectors

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

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