social harmonics

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The life of Harrison Hawkins, father of the Rev. http://www.esthersscrapbook.com/Harrison.html

Harrison Hawkins and Florence Huntley

http://gsns.org/no-obstacles

No Obstacles

ONE OF THE interesting discoveries that is made by the average Student, early in his progress, is the fact that during his lifetime he has been accumulating a considerable fund of supposed knowledge, which in the light of a deeper insight into the Laws of Nature, is found to be based upon surmise, conjecture or misunderstanding.
The Pythagorean Scale is mathematically perfect in the relationship of the notes of the scale to the starting pitch, but it was soon discovered that this perfection created serious problems. http://jackhdavid.thehouseofdavid.com/papers/math.html

The Mathematics of Music

http://ray.tomes.biz/maths.html Maxwell developed his famous equations for electromagnetism around 1870 and showed that not only electricty and magnetism behaved according to wave equations, but that interactions of the two also behaved as waves that travelled at the speed of light and produced the phenomena known as light, later found to include waves from long radio waves down to very short gamma ray waves.

Harmonics Theory Physics and Maths

http://members.cox.net/mathmistakes/music.htm

Math and Music

If all art aspires to the condition of music, all the sciences aspire to the condition of mathematics. - George Santanaya Music is the pleasure of the human soul experiences from counting without being aware that it is counting. - Gottfried Leibniz

Harmonic

The nodes of a vibrating string are harmonics. A harmonic of a wave is a component frequency of the signal that is an integer multiple of the fundamental frequency , i.e. if the fundamental frequency is f , the harmonics have frequencies 2 f , 3 f , 4 f , . . . etc. http://en.wikipedia.org/wiki/Harmonic
http://en.wikipedia.org/wiki/Harmonic_(mathematics) In mathematics , a number of concepts employ the word harmonic.

Harmonic (mathematics)

In mathematics the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space .

Laplace operator

http://en.wikipedia.org/wiki/Laplace_operator
Pierre-Simon, marquis de Laplace ( / l ə ˈ p l æ s / ; French: [pjɛʁ simɔ̃ laplas] ; 23 March 1749 – 5 March 1827) was a French mathematician and astronomer whose work was pivotal to the development of mathematical astronomy and statistics .

Pierre-Simon Laplace

http://en.wikipedia.org/wiki/Pierre-Simon_Laplace
In mathematics , Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties.

Laplace's equation

Eigenvalues and eigenvectors

In this shear mapping the red arrow changes direction but the blue arrow does not.