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Thanks to Karen Kavett for the graphics: http://youtube.com/xperpetu...
In which John explains the education continuum and why math and liter...
vlogbrothers • 212,031 views
@vlogbrothers
The square root of 4 is strictly 2. The solutions to the equation x^2 = 4 however, is -2 and 2. If we allow Sqrt[4] = -2, we get contradictions such as:
Sqrt[4] = Sqrt[-2]*Sqrt[-2]
= Sqrt[2]*Sqrt[2]*Sqrt[-1]*Sqrt[-1]
= Sqrt[4]*(-1) = - Sqrt[4]
which is obviously false.
The video consists of a series of demonstrations of oscillators, based on the classic Nuffield "D circus" of experiments. The aim is to demonstrate...
QuantumBoffin • 15,151 views
@rafaelbernardelli probably a capacitor/inductor circuit
@vlogbrothers
The square root of 4 is strictly 2. The solutions to the equation x^2 = 4 however, is -2 and 2. If we allow Sqrt[4] = -2, we get contradictions such as:
Sqrt[4] = Sqrt[-2]*Sqrt[-2]
= Sqrt[2]*Sqrt[2]*Sqrt[-1]*Sqrt[-1]
= Sqrt[4]*(-1) = - Sqrt[4]
which is obviously false.