Канал: The Sage of Science

Static Beam with Triangular Load, how does this work?

Static Beam with Triangular Load, how does this work?

The Brachistochrone Problem, Variational Calculus at its best!

The Brachistochrone Problem, Variational Calculus at its best!

Flightpath of a dragging bullet!

Flightpath of a dragging bullet!

MATRIX Exponentiation, how does this work!

MATRIX Exponentiation, how does this work!

Nice combinatorics problem, determine all values of n!

Nice combinatorics problem, determine all values of n!

How to move vectors in a 'parallel' way when space is curved!

How to move vectors in a 'parallel' way when space is curved!

How does a loan (mortgage) calculator work!

How does a loan (mortgage) calculator work!

How does a rope shape itself under the influence of gravity?

How does a rope shape itself under the influence of gravity?

Determine the area of the Triangle.

Determine the area of the Triangle.

Which number is Bigger or Smaller let's settle this for once and for all!

Which number is Bigger or Smaller let's settle this for once and for all!

Calculate the famous Fresnel Integral using contour integration. Complex Gaussian integral.

Calculate the famous Fresnel Integral using contour integration. Complex Gaussian integral.

Simple Centrifuge, rotating disk with Piston. Lagrangian Mechanics.

Simple Centrifuge, rotating disk with Piston. Lagrangian Mechanics.

Analyzing a Resistor Network using Triangle-T transform. Delta-T Transformation Topology.

Analyzing a Resistor Network using Triangle-T transform. Delta-T Transformation Topology.

Derive the gravitational potential energy equation near Earth's surface.

Derive the gravitational potential energy equation near Earth's surface.

MASER explained using a 2-state Quantum System. Charles Townes.

MASER explained using a 2-state Quantum System. Charles Townes.

How to generalize an experimental function using Dimensional Analysis!

How to generalize an experimental function using Dimensional Analysis!

Sliding Chain with Friction. Lagrangian Mechanics.

Sliding Chain with Friction. Lagrangian Mechanics.

Calculate any n-th root without a calculator!

Calculate any n-th root without a calculator!

Euler's famous Log Sin Integral. Contour Integration.

Euler's famous Log Sin Integral. Contour Integration.

Einsteinian behavior of particles in a gravitational field Part II.

Einsteinian behavior of particles in a gravitational field Part II.

Thor's hammer, done the right way!

Thor's hammer, done the right way!

Calculate any square root without a calculator!

Calculate any square root without a calculator!

How does a puddle of water on a flat surface shape itself.

How does a puddle of water on a flat surface shape itself.

Einsteinian behavior of particles in a gravitational field Part I.

Einsteinian behavior of particles in a gravitational field Part I.

Particle Moving in Gravitational Field, the Einstein Way!

Particle Moving in Gravitational Field, the Einstein Way!

Inverse Laplace Transform the proper way, using Residue theorem.

Inverse Laplace Transform the proper way, using Residue theorem.

Making Frequency Dependent Resistor using GIC Topology.

Making Frequency Dependent Resistor using GIC Topology.

Bouncing Quantum particle in gravitational field! Schrodinger Equation.

Bouncing Quantum particle in gravitational field! Schrodinger Equation.

Design of an Oscillator!

Design of an Oscillator!

A Truck suspension system solved using Lagrangians and Mathematica.

A Truck suspension system solved using Lagrangians and Mathematica.

From Einstein to Newton! Gravity is King!

From Einstein to Newton! Gravity is King!

Solving non-linear differential equations using perturbation, Part II. Perturbation Theory.

Solving non-linear differential equations using perturbation, Part II. Perturbation Theory.

Moving Vectors in Curved Space. Parallel Transport.

Moving Vectors in Curved Space. Parallel Transport.

Sallen-Key High Pass Filter using Lagrangian's.

Sallen-Key High Pass Filter using Lagrangian's.

Solving linear differential equations using perturbation theory, Part I. Perturbation Theory.

Solving linear differential equations using perturbation theory, Part I. Perturbation Theory.

Electronic Band-Pass Filter using Lagrangians.

Electronic Band-Pass Filter using Lagrangians.

Spring Pendulum with double mass. Euler-Lagrange.

Spring Pendulum with double mass. Euler-Lagrange.

Calculate Complex Integral using Residue Theorem Part I. Complex Function Theory.

Calculate Complex Integral using Residue Theorem Part I. Complex Function Theory.

Calculate Complex Integral Using the Residue Theorem Part II. Complex Function Theory.

Calculate Complex Integral Using the Residue Theorem Part II. Complex Function Theory.

Pendulum on Vibrating mass. Euler-Lagrangian Mechanics.

Pendulum on Vibrating mass. Euler-Lagrangian Mechanics.

Transmission Line and some of its applications.

Transmission Line and some of its applications.

Symmetric Solution to an Algebraic Problem. Euler at its best.

Symmetric Solution to an Algebraic Problem. Euler at its best.

LC^2 Oscillator circuit. Exploiting Mechanical-Electrical duality using Lagrangian's.

LC^2 Oscillator circuit. Exploiting Mechanical-Electrical duality using Lagrangian's.

Second order Dampening System. Lagrangian Mechanics.

Second order Dampening System. Lagrangian Mechanics.

Nice Olympiad like combinatorics problem.

Nice Olympiad like combinatorics problem.

Rolling disk on sliding wedge. Lagrangian Mechanics.

Rolling disk on sliding wedge. Lagrangian Mechanics.

Electrostatic Potential of Finite Wire. Laplace Generalization Trick!

Electrostatic Potential of Finite Wire. Laplace Generalization Trick!

Electrostatic potential of a charged Ring. Laplace equation.

Electrostatic potential of a charged Ring. Laplace equation.

The Pendulum. Oscillating Mechanics. Lagrangian Mechanics.Harmonic Oscillator.

The Pendulum. Oscillating Mechanics. Lagrangian Mechanics.Harmonic Oscillator.

The art of Differentiation in Calculus.

The art of Differentiation in Calculus.

Simple exponential equation with infinite solutions! Math Olympiad like algebra problem

Simple exponential equation with infinite solutions! Math Olympiad like algebra problem

Location of James Webb Space Telescope? JWST, Webb

Location of James Webb Space Telescope? JWST, Webb

Transmission Lines and its characteristic impedance. Telegrapher's equations.

Transmission Lines and its characteristic impedance. Telegrapher's equations.

Defying conventional wisdom on a complex resistor network! Thevenin like circuit.

Defying conventional wisdom on a complex resistor network! Thevenin like circuit.

An infinite recursive Resistance Network

An infinite recursive Resistance Network

Differentiation of a complex function

Differentiation of a complex function

Simple calculations on Complex Numbers

Simple calculations on Complex Numbers

The resistance of a Cube

The resistance of a Cube

Complicated Differentiation

Complicated Differentiation

Rotation Matrices, using Euler's equations.

Rotation Matrices, using Euler's equations.

How to derive some Trigonometric identities

How to derive some Trigonometric identities

Complex Numbers

Complex Numbers

The quadratic equation? A simple algebra problem.

The quadratic equation? A simple algebra problem.

How to derive the Golden Ratio using the Fibonacci series.

How to derive the Golden Ratio using the Fibonacci series.