Zor Shekhtman

Mathematician, Investment Adviser, Software Specialist.
Developing an educational Web site UNIZOR.COM dedicated to advanced level high school Mathematics

[Zor Shekhtman @ZSHEKHTM]

All4Free & Free4All.
Knowledge is Power.

[Zor Shekhtman @ZSHEKHTM]

New totally free lecture on https://t.co/fnK4x1SJyv - Lagrangian for Non-conservative Systems. No ads. No subscription. No signing on.
From https://t.co/fnK4x1SJyv follow the menu items: "Physics+ 4 All" > "Lagrangian" > "Non-conservative".

[Zor Shekhtman @ZSHEKHTM]

The lecture also explains why this Lagrangian must depend explicitly on time and what this means for energy conservation and the limitations of the Lagrangian formalism.
As always, the emphasis is on understanding the mathematics rather than simply presenting formulas.

[Zor Shekhtman @ZSHEKHTM]

https://t.co/YN1lSTJGzk

[Rapid Response 47 @RapidResponse47]

.@SecRubio on Radical Left terrorism:

"It has always been driven by a hatred — above all else, a hatred for civilization itself. It is a revolt of the worst against the best, a revolt of the weak and the cowardly against the strong and the good. It is perpetrated by those who cannot build, who cannot create, who cannot create great things, and take revenge upon the world for their own inadequacy by seeking to destroy those who can. This is what Radical Leftism is."

[Zor Shekhtman @ZSHEKHTM]

To get to the introductory lecture in video and textual format, go to https://t.co/fnK4x1SJyv, choose the course "Physics+ 4 All", click "Hamiltonian".
All courses on https://t.co/fnK4x1SJyv are totally free, no subscription, no ads, signing on is optional. Knowledge is Power!

[Zor Shekhtman @ZSHEKHTM]

After covering Lagrangian and the Noether theorem we continue the course "Physics+ 4 All" opening a new chapter "Hamiltonian".

[Zor Shekhtman @ZSHEKHTM]

Check it out at https://t.co/fnK4x1SJyv if you're curious how symmetry and conservation are linked at a fundamental level.

[Zor Shekhtman @ZSHEKHTM]

New lecture released on https://t.co/fnK4x1SJyv.
In the course "Physics+ 4 All", chapter "Noether Theorem", the lecture "Derivation" walks through a rigorous, step-by-step proof of Noether's theorem — connecting continuous symmetries of the action functional to conservation laws

[Zor Shekhtman @ZSHEKHTM]

Rather than treating time and space coordinates separately, this lecture unifies them into a single extended configuration space, making the derivation cleaner and more geometrically transparent.

[Zor Shekhtman @ZSHEKHTM]

Released new Unizor lecture Noether’s Theorem Math 1, focusing on its mathematics.
The goal: make transition from symmetry → conservation completely transparent.
Highlights:
rigorous treatment of infinitesimal transformations
velocity transformation derivation.
Next is Math 2.

[Zor Shekhtman @ZSHEKHTM]

Noether’s theorem states that, if the laws of physics are the same everywhere in space, momentum must be conserved. This lecture explains this connection through the symmetry of spatial translations. TRANSLATION SYMMETRY ⇒ MOMENTUM CONSERVATION

[Zor Shekhtman @ZSHEKHTM]

New lecture was released to
https://t.co/fnK4x1SJyv -> Physics+ 4 All ->
-> Lagrangian -> Noether p=m·v const

Momentum conservation is not just an empirical fact.
It follows from uniformity of physical laws under the translation of coordinates.

[Zor Shekhtman @ZSHEKHTM]

New lecture released to https://t.co/fnK4x1SJyv -> Physics+ 4 All -> Lagrangian -> Noether & Energy: "Noether’s Theorem & Energy Conservation" This lecture shows how time symmetry leads directly to energy conservation within Lagrangian mechanics.

[Zor Shekhtman @ZSHEKHTM]

Why is energy conserved?
Not because we assume or believe in it — but because the laws of physics do not depend on time.

[Zor Shekhtman @ZSHEKHTM]

we obtain conservation of angular momentum, Kepler's second law, and the conic-section shape of planetary orbits. All4Free & Free4All. No ads, no subscriptions, signing in is optional. Knowledge is Power!

[Zor Shekhtman @ZSHEKHTM]

New lecture about using Lagrangian Mechanics to analyze the planetary movements has been released to https://t.co/fnK4x1SJyv -> Physics+ 4 All -> Lagrangian -> Gravity Example.
Starting from the Newton's Law of Gravitation and the Euler–Lagrange equations,

[Zor Shekhtman @ZSHEKHTM]

But a single generalized coordinate makes the structure of the problem clear and naturally reveals the system’s degrees of freedom.
Now available on https://t.co/fnK4x1SJyv.
All4Free & Free 4 All. No ads. No subscriptions.

[Zor Shekhtman @ZSHEKHTM]

New lecture released: Constraints (Physics+ → Lagrangian) on https://t.co/fnK4x1SJyv.
Why is the Lagrangian approach often better than Newton’s laws for constrained systems?
Using the pendulum, I show how Cartesian coordinates quickly become messy when constraints are involved.