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Proving an inequality involving integral.
Learn Maths with Dr Alex
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200 видео с канала:
Learn Maths with Dr Alex
Proving an inequality involving integral.
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Cauchy Schwarz integral inequality, some clarifications in English.
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The function f=1/x.
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The sandwich theorem for evaluating limits.
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L hospital rule for limits.
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Timestables, an easy way to remember.
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Area and length of a sector in a circle.
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Converting degrees to radians.
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Newton's iterative algorithm, derivation.
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Cubic numbers
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Converting mixed numbers to improper fractions.
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Multiplication of decimals (the easy way)
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Square numbers
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Powers of 10 to decimals
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Decimals to powers of 10.
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Tangent and normal line parabola y=x^2.
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An elementary PDE Analysis problem.
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Warm up exercise, plotting a sequence
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Warm up problem 2, loci of complex numbers.
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Warm-up problem 1, loci of complex numbers
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Truncated and infinite series, derivation of formulas.
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Homogeneous functions, warm up exercise.
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Symmetric functions, a warm up exercise.
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Solving a simple ODE
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Potential gravitational energy, formula derivation and applications.
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Integral of an even function, a simple exercise.
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Elegant trigonometry question.
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Free fall, derivation of the equations of motion.
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Cauchy Schwarz inequality, clarifications (Greek language)
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Solving a functional equation, problem 2
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Solving a functional equation, problem 1
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Vector analysis, a nice warm up exercise.
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Solid mechanics, balancing a faceplate.
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Temperature conversion.
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Monotonicity of a function, example.
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Finding differential of a function, example.
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Functional analysis, warm up problem 2.
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Functional analysis, warm up problem 1.
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PDE problem, Laplacian operator of function u.
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Proof of triangle inequality.
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An elementary exercise in analysis 2.
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An elementary exercise in analysis 1
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Proof of Hölder inequality.
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Pythagoras theorem, an algebraic problems.
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Properties of natural logarithms via calculus techniques.
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Function spaces, a nice exercise.
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Some properties of a double indexed sequence.
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Limit of a sequence, exercise.
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Derivation of kinetic energy of a moving body.
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Invariance of lorenz equations under a particular transformation.
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Calculation of 2 norm of a square matrix.
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Formula for the density of the sphere
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An equation on circular motion.
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Calculation of a path integral.
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An elementary PDE problem.
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Calculating infinity norm of a square matrix.
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A Problem on separable ODE.
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Compound interest, derivation of formula.
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Formulas for area and perimeter of a compound shape.
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Condition number of symmetric 2x2 matrix
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Size of the wound and exponential function.
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L2 space is a metric space
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Complex numbers , rectangular to polar form.
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A problem involving the volume of the sphere and the volume of a cylinder.
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Recurring decimal to fraction using infinite geometric series.
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Equation of straight line passing through a point with a given gradient.
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Volume of two cones interconnected with common circular base.
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Finding height in the trapezium in an area problem.
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Volume of square based pyramid.
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Infinite series, interval of convergence.
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A nice geometric property on a triangle.
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A nice geometry problem on areas of shapes.
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Finding inverse function, example.
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Volume of an elliptical cylinder
Скачать
The identity tan(a+b)
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Indefinite integration, substitution method and examples.
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Solving trinomial using factorization (no formula)
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A beautiful problem on Laplace transform.
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A nice vector analysis problem.
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A nice integral (substitution and employing properties of gamma function)
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An application on volumes of spheres.
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Matrix M as a sum of symmetric and skew symmetric matrix
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Pythagoras and linear systems
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Complex analysis, another problem
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A problem in Complex analysis.
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Ordinary differential equations, a nice problem.
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Electric circuit, energy of the capacitor
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Electric circuits, energy of inductor L
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Trigonometry exercise
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Stokes equation, weak formulation
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Differential calculus, physics problem
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conservation of momentum, application
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sinepsilon=epsilon for epsilon sufficiently small
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Solving linear system using inverse matrix
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concentration of ions in water
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Concentration of ions in hydrochloric acid
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ODEs oscillation of vibrating spring
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Population of bacteria, Linearization
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Richter scale logarithmic formula
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Parallel resistor formula
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Normalized vector example
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Solution of 3rd order homogeneous linear ode with constant coefficients
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Solving 2x2 linear system using Cramer method
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Solving trinomial inequality
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Roots of 3rd degree polynomial via horner method
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Fourier transform of unit step function
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Problem on population of bacteria
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Lax Milgram for Poisson equation reupload
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Laplace transform scaled function
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Laplace transform of periodic function
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Laplace transform, second translation theorem
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Laplace transform first translation theorem
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If f,g are in L2, then their linear combination is also in L2
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Abel's identity for ODEs
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PDE Analysis Elementary exercise
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Intersection ponts between unit circle at the origin and parabola y=x^2
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Jordan form of a square 2x2 matrix
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A classical inequality associating L1 and L2 norms of a function in a bounded 1d interval
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Finding a bound for an integral using the Cauchy Schwarz integral inequality
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Partial Fourier transform in the y direction of the 2d Laplacian operator
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One analysis problem with 3 questions
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Variational form of biharmonic equation via energy functional
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How to solve 1st order system of linear ODEs
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Mersennes numbers, proof of a basic identity
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Voltage divider derivation of formulas
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inequality in normed spaces associating L1 and L2 norms
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Analysis problem, integral over a given bounded interval
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Average value of sum of trig functions on given interval
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Average value of a simple trigonometric function on given interval
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Resonant frequency in LC circuit
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Resonant frequency in LC circuit
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Law of sines, application
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Calculation of Shannon Hentropy, example
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Integral representation of Riemann zeta function
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Divergence of n dimensional vector field
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Dirichlet functional and variational form of Poisson equation
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why 1 is not a prime number
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writing a positive integer as product of primes
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triangle inequality in L2 normed spaces -proof
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pythagoras theorem and trigonometry
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Coulomb's force electrostatics
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Regular hexagon area
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area of complex domain nice geometry problem
Скачать
solving inhomogeneous ode example
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Fibonacci sequence -recurrence equation and closed formula
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decimal con digito recurrente y series infinitas
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odd functions examples
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even functions- examples
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heat equation - energy method for uniqueness
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Set of complex numbers some properties
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Kinematics basic equations of motion
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Generalization of Newton's 2nd law
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Kinematics problem comparing kinetic energies
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an interesting analysis exercise
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Opposite angles proof via analytical geometry
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Indefinite integration problem 2
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Indefinite integration -problem 1
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Harmonic series, integral test.
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infinite series problem, comparison test.
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Integral calculus-problem 13
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Area of a rectangle
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Vector analysis -finding the angle between vectors
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Singular matrices- example
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The sum 1+2+3+ ... +N
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1d Biharmonic equation- example
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Nilpotent matrix example
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ODE for modelling population
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1d Helmholtz equation.
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Integral Calculus-problem 12.
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Integral Calculus-problem 11
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Integral Calculus-problem 10.
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Integral Calculus-problem 9
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Pythagoras theorem- Differential Calculus problem.
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Integral Calculus-problem 8.
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Parseval's theorem.
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1d Poisson equation-exercise
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Integral calculus-problem 7.
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Integral calculus-problem 6.
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Integral calculus-problem 5.
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Integral calculus-problem 4.
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Integral calculus-problem 3.
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Integral calculus-problem 2.
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Integral calculus-problem 1.
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De Moivre's formula.
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Trace of a matrix-problem 3
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Trace of the matrix-problem 2
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The trace of a matrix-problem 1.
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Cayley Hamilton theorem for a 2x2 matrix.
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Skew-symmetric matrix-example
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Symmetric matrix-example
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The trace of the sum of two matrices
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Young inequality-trivial case.
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The derivative of the identity function.
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The derivative of f(x) =x^2.
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The derivative of a constant function.
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Triangle type inequality for integrals.
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Proving inequalities-exercise 1
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Laplace transform of the convolution of two functions.
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Hyperbolic and trigonometric functions-How are they associated?
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Double integration-example 1.
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Канал: Learn Maths with Dr Alex
Proving an inequality involving integral.
Скачать
Cauchy Schwarz integral inequality, some clarifications in English.
Скачать
The function f=1/x.
Скачать
The sandwich theorem for evaluating limits.
Скачать
L hospital rule for limits.
Скачать
Timestables, an easy way to remember.
Скачать
Area and length of a sector in a circle.
Скачать
Converting degrees to radians.
Скачать
Newton's iterative algorithm, derivation.
Скачать
Cubic numbers
Скачать
Converting mixed numbers to improper fractions.
Скачать
Multiplication of decimals (the easy way)
Скачать
Square numbers
Скачать
Powers of 10 to decimals
Скачать
Decimals to powers of 10.
Скачать
Tangent and normal line parabola y=x^2.
Скачать
An elementary PDE Analysis problem.
Скачать
Warm up exercise, plotting a sequence
Скачать
Warm up problem 2, loci of complex numbers.
Скачать
Warm-up problem 1, loci of complex numbers
Скачать
Truncated and infinite series, derivation of formulas.
Скачать
Homogeneous functions, warm up exercise.
Скачать
Symmetric functions, a warm up exercise.
Скачать
Solving a simple ODE
Скачать
Potential gravitational energy, formula derivation and applications.
Скачать
Integral of an even function, a simple exercise.
Скачать
Elegant trigonometry question.
Скачать
Free fall, derivation of the equations of motion.
Скачать
Cauchy Schwarz inequality, clarifications (Greek language)
Скачать
Solving a functional equation, problem 2
Скачать
Solving a functional equation, problem 1
Скачать
Vector analysis, a nice warm up exercise.
Скачать
Solid mechanics, balancing a faceplate.
Скачать
Temperature conversion.
Скачать
Monotonicity of a function, example.
Скачать
Finding differential of a function, example.
Скачать
Functional analysis, warm up problem 2.
Скачать
Functional analysis, warm up problem 1.
Скачать
PDE problem, Laplacian operator of function u.
Скачать
Proof of triangle inequality.
Скачать
An elementary exercise in analysis 2.
Скачать
An elementary exercise in analysis 1
Скачать
Proof of Hölder inequality.
Скачать
Pythagoras theorem, an algebraic problems.
Скачать
Properties of natural logarithms via calculus techniques.
Скачать
Function spaces, a nice exercise.
Скачать
Some properties of a double indexed sequence.
Скачать
Limit of a sequence, exercise.
Скачать
Derivation of kinetic energy of a moving body.
Скачать
Invariance of lorenz equations under a particular transformation.
Скачать
Calculation of 2 norm of a square matrix.
Скачать
Formula for the density of the sphere
Скачать
An equation on circular motion.
Скачать
Calculation of a path integral.
Скачать
An elementary PDE problem.
Скачать
Calculating infinity norm of a square matrix.
Скачать
A Problem on separable ODE.
Скачать
Compound interest, derivation of formula.
Скачать
Formulas for area and perimeter of a compound shape.
Скачать
Condition number of symmetric 2x2 matrix
Скачать
Size of the wound and exponential function.
Скачать
L2 space is a metric space
Скачать
Complex numbers , rectangular to polar form.
Скачать
A problem involving the volume of the sphere and the volume of a cylinder.
Скачать
Recurring decimal to fraction using infinite geometric series.
Скачать
Equation of straight line passing through a point with a given gradient.
Скачать
Volume of two cones interconnected with common circular base.
Скачать
Finding height in the trapezium in an area problem.
Скачать
Volume of square based pyramid.
Скачать
Infinite series, interval of convergence.
Скачать
A nice geometric property on a triangle.
Скачать
A nice geometry problem on areas of shapes.
Скачать
Finding inverse function, example.
Скачать
Volume of an elliptical cylinder
Скачать
The identity tan(a+b)
Скачать
Indefinite integration, substitution method and examples.
Скачать
Solving trinomial using factorization (no formula)
Скачать
A beautiful problem on Laplace transform.
Скачать
A nice vector analysis problem.
Скачать
A nice integral (substitution and employing properties of gamma function)
Скачать
An application on volumes of spheres.
Скачать
Matrix M as a sum of symmetric and skew symmetric matrix
Скачать
Pythagoras and linear systems
Скачать
Complex analysis, another problem
Скачать
A problem in Complex analysis.
Скачать
Ordinary differential equations, a nice problem.
Скачать
Electric circuit, energy of the capacitor
Скачать
Electric circuits, energy of inductor L
Скачать
Trigonometry exercise
Скачать
Stokes equation, weak formulation
Скачать
Differential calculus, physics problem
Скачать
conservation of momentum, application
Скачать
sinepsilon=epsilon for epsilon sufficiently small
Скачать
Solving linear system using inverse matrix
Скачать
concentration of ions in water
Скачать
Concentration of ions in hydrochloric acid
Скачать
ODEs oscillation of vibrating spring
Скачать
Population of bacteria, Linearization
Скачать
Richter scale logarithmic formula
Скачать
Parallel resistor formula
Скачать
Normalized vector example
Скачать
Solution of 3rd order homogeneous linear ode with constant coefficients
Скачать
Solving 2x2 linear system using Cramer method
Скачать
Solving trinomial inequality
Скачать
Roots of 3rd degree polynomial via horner method
Скачать
Fourier transform of unit step function
Скачать
Problem on population of bacteria
Скачать
Lax Milgram for Poisson equation reupload
Скачать
Laplace transform scaled function
Скачать
Laplace transform of periodic function
Скачать
Laplace transform, second translation theorem
Скачать
Laplace transform first translation theorem
Скачать
If f,g are in L2, then their linear combination is also in L2
Скачать
Abel's identity for ODEs
Скачать
PDE Analysis Elementary exercise
Скачать
Intersection ponts between unit circle at the origin and parabola y=x^2
Скачать
Jordan form of a square 2x2 matrix
Скачать
A classical inequality associating L1 and L2 norms of a function in a bounded 1d interval
Скачать
Finding a bound for an integral using the Cauchy Schwarz integral inequality
Скачать
Partial Fourier transform in the y direction of the 2d Laplacian operator
Скачать
One analysis problem with 3 questions
Скачать
Variational form of biharmonic equation via energy functional
Скачать
How to solve 1st order system of linear ODEs
Скачать
Mersennes numbers, proof of a basic identity
Скачать
Voltage divider derivation of formulas
Скачать
inequality in normed spaces associating L1 and L2 norms
Скачать
Analysis problem, integral over a given bounded interval
Скачать
Average value of sum of trig functions on given interval
Скачать
Average value of a simple trigonometric function on given interval
Скачать
Resonant frequency in LC circuit
Скачать
Resonant frequency in LC circuit
Скачать
Law of sines, application
Скачать
Calculation of Shannon Hentropy, example
Скачать
Integral representation of Riemann zeta function
Скачать
Divergence of n dimensional vector field
Скачать
Dirichlet functional and variational form of Poisson equation
Скачать
why 1 is not a prime number
Скачать
writing a positive integer as product of primes
Скачать
triangle inequality in L2 normed spaces -proof
Скачать
pythagoras theorem and trigonometry
Скачать
Coulomb's force electrostatics
Скачать
Regular hexagon area
Скачать
area of complex domain nice geometry problem
Скачать
solving inhomogeneous ode example
Скачать
Fibonacci sequence -recurrence equation and closed formula
Скачать
decimal con digito recurrente y series infinitas
Скачать
odd functions examples
Скачать
even functions- examples
Скачать
heat equation - energy method for uniqueness
Скачать
Set of complex numbers some properties
Скачать
Kinematics basic equations of motion
Скачать
Generalization of Newton's 2nd law
Скачать
Kinematics problem comparing kinetic energies
Скачать
an interesting analysis exercise
Скачать
Opposite angles proof via analytical geometry
Скачать
Indefinite integration problem 2
Скачать
Indefinite integration -problem 1
Скачать
Harmonic series, integral test.
Скачать
infinite series problem, comparison test.
Скачать
Integral calculus-problem 13
Скачать
Area of a rectangle
Скачать
Vector analysis -finding the angle between vectors
Скачать
Singular matrices- example
Скачать
The sum 1+2+3+ ... +N
Скачать
1d Biharmonic equation- example
Скачать
Nilpotent matrix example
Скачать
ODE for modelling population
Скачать
1d Helmholtz equation.
Скачать
Integral Calculus-problem 12.
Скачать
Integral Calculus-problem 11
Скачать
Integral Calculus-problem 10.
Скачать
Integral Calculus-problem 9
Скачать
Pythagoras theorem- Differential Calculus problem.
Скачать
Integral Calculus-problem 8.
Скачать
Parseval's theorem.
Скачать
1d Poisson equation-exercise
Скачать
Integral calculus-problem 7.
Скачать
Integral calculus-problem 6.
Скачать
Integral calculus-problem 5.
Скачать
Integral calculus-problem 4.
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Integral calculus-problem 3.
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Integral calculus-problem 2.
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Integral calculus-problem 1.
Скачать
De Moivre's formula.
Скачать
Trace of a matrix-problem 3
Скачать
Trace of the matrix-problem 2
Скачать
The trace of a matrix-problem 1.
Скачать
Cayley Hamilton theorem for a 2x2 matrix.
Скачать
Skew-symmetric matrix-example
Скачать
Symmetric matrix-example
Скачать
The trace of the sum of two matrices
Скачать
Young inequality-trivial case.
Скачать
The derivative of the identity function.
Скачать
The derivative of f(x) =x^2.
Скачать
The derivative of a constant function.
Скачать
Triangle type inequality for integrals.
Скачать
Proving inequalities-exercise 1
Скачать
Laplace transform of the convolution of two functions.
Скачать
Hyperbolic and trigonometric functions-How are they associated?
Скачать
Double integration-example 1.
Скачать