Inventors -- United States -- Biography; Pupin, Michael, 1858-1935
A string without weight is stretched like a violin string between two
fixed points; at equidistant intervals along this string are attached
equal weights, say bird-shot. The problem is, how will this string,
loaded with weights, vibrate when disturbed by an impulse? La Grange
found a beautiful solution for this historic problem, and the solution
marks the beginning of an epoch in the history of mathematical physics.
This solution enabled him to analyze mathematically the vibrations
of a violin string, one of the famous mathematical problems of the
eighteenth century. I made a bold attempt to find a solution for a more
general and less hypothetical form of this problem. I supposed that the
string itself had weight, and that it, as well as the little weights
attached to it, moved through a viscous medium. I felt intuitively
what the solution should be, and considered it of much scientific
importance. I finally found the most general mathematical solution of
this generalized problem, and the beauty of it was that it could be
stated in a very simple language. I shall state it later. The solution
was exactly what I had expected it to be, and it thrilled me more than
any work that I had ever done. I always believed that my training
in ground-signalling which the herdsman of Idvor had taught me some
twenty years before was responsible for this intuitive guess. Early
impressions, particularly those relating to novel scientific facts, are
very intense.
I was much encouraged by the thought that I was able to add very
substantially to the solution of a historic problem first solved by
famous La Grange. In order to communicate some of my joy to Mrs.
Pupin, I told her that I was ready to give up mathematical reading
for the rest of that summer, and we started on a drive through
Switzerland. That is, she drove, while I walked a good part of the
time, particularly when the carriage was moving along the zigzag roads
going up to a pass, which happens often in Switzerland drives. Making
short cuts, I met her every now and then on the up-grade parts of the
steep and winding roads, and rode with her on the down-grade. During
these walks, being alone, I pondered a great deal about my solution
of the generalized La Grangian problem. One day, while climbing up to
the Furka pass, it occurred to me that since the motion of electricity
through a wire experiences reacting forces similar to those in the
motion of the material elements in a stretched string, my generalized
solution should be applicable to the motion of electricity, and I was
immediately aware that I had made a very important invention. I tried
to convince Mrs. Pupin of it, but she said: “I will believe what you
say and will gladly congratulate you if you will promise that you
will not be absent-minded during the rest of our trip.” I promised,
but it was very difficult to live up to the promise. I never told her
how often I longed to be back in my modest laboratory in the musty
Public-domain text, read in full here on John Shaqi.
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