Math Easy Solutions profile
Math Easy Solutions
Math Easy Solutions
I mainly make math videos and research into developing true free energy Aether science and technology!
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Math Easy Solutions
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Historical Review of Planck's Law for Blackbody Radiation https://youtu.be/ItKjlvF9gic

In this video, I provide a quick review of the history behind Planck's Law, the formula derived by Max Planck in 1900 to resolve the Ultraviolet Catastrophe for blackbody radiation.

#physics #science #QuantumMechanics #math #education
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Math Easy Solutions
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Blackbody Radiation Questions 3,4: Comparing Planck's Law to Rayleigh-Jeans Law for the Sun https://youtu.be/SL3z_KJ7yPw

In this video I graph out the blackbody radiation energy density for the Sun using both Planck's Law and the classical Rayleigh-Jeans Law. At high wavelengths, both models are similar but at low wavelengths the classical theory diverges wildly to infinity. This was the cause of the Ultraviolet Catastrophe.
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Math Easy Solutions
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Blackbody Radiation Question 2: Planck's Law Approximates Rayleigh-Jeans Law at Large Wavelengths https://youtu.be/p2a4QGnzlm0

In this video I show that using just the first term for the Taylor series expansion of the exponential function in Planck's Law, it becomes Rayleigh-Jeans Law. This results in a good approximation for Rayleigh-Jeans Law at large wavelengths since the extra terms of the Taylor series become very small.
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Math Easy Solutions
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Blackbody Radiation Question 1: Limit of Planck's Law is 0 as Wavelength Approaches 0 or ∞ https://youtu.be/8gcdHAhVVG0

In this video I show by using l'Hospital's Rule for indeterminate limits, that Planck's Law for blackbody radiation approaches zero as the wavelength approaches zero or infinity.
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Math Easy Solutions
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Blackbody Radiation: Rayleigh-Jeans Law, Planck's Law, and the Ultraviolet Catastrophe https://youtu.be/YIl2SmTWZZo

In this video I provide an overview of blackbody radiation, which is an object that absorbs all radiation and emits radiation that is dependent only on its temperature, as well as discussing the mathematical models used to describe it.
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Math Easy Solutions
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A Hyperbolic Paraboloid Can Be Generated by Straight lines https://youtu.be/-nxmXc1GD-U

In this video I show that a hyperbolic paraboloid can be generated entirely by two sets of lines, thus classifying it as a Ruled Surface. The only quadric surfaces that are ruled surfaces are cylinders, cones, and hyperboloids of one sheet.
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