Now if this electron is displaced from its equilibrium position, a force that is directly proportional to the displacement restores it like a pendulum to its position of rest.
Now all oscillatory movements of such an electron can be conceived of as being split up into force, and two circular oscillations perpendicular to this direction rotating in opposite directions.
In the absence of a magnetic field the period of all these oscillations is the same. But as soon as the electron is exposed to the effect of a magnetic field, its motion changes.
I should point out, however, that at first some difficulty was experienced in observing the phenomena predicted by the theory, owing to the extreme smallness of the variations in the period of oscillation.
I like to say that I practice militant mysticism. I'm really absolutely sure of some things that I don't quite know.
Storytelling is the most powerful way to put ideas into the world today.
Freedom is not having everything we crave, it's being able to go without the things we crave and being OK with it.
Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality.
Creating a body of mathematics is about intellectual labor, not some kind of transcendental revelation. There are plenty of important components of European fractal geometry that are missing from the African version.
I just toured around looking for fractals, and when I found something that had a scaling geometry, I would ask the folks what was going on - why they had made it that way.
We have the duty of formulating, of summarizing, and of communicating our conclusions, in intelligible form, in recognition of the right of other free minds to utilize them in making their own decisions.
We wish to discuss a structure for the salt of deoxyribose nucleic acid. (D.N.A.). This structure has novel features which are of considerable biologic interest.
I don't know what's the matter with people: they don't learn by understanding, they learn by some other way — by rote or something. Their knowledge is so fragile!
You see, the chemists have a complicated way of counting: instead of saying "one, two, three, four, five protons," they say, "hydrogen, helium, lithium, beryllium, boron.
It would be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof.'
He that goeth about to persuade a multitude that they are not so well governed as they ought to be shall never want attentive and favorable hearers.
The Nobel Prize is given as a personal award but it also honors the field of research in which I have worked and it also honors my students and colleagues.
One of the issues facing us today is that there are countries where there is a serious lack of resources, the standards of living are very low, and this creates a fundamental unease and discomfort in entire populations.
Eventually I realised there must be a way by playing with the molecules; trying to turn the molecules on and off allows you to see adjacent things you couldn't see before.
There is still refinement needed - we are working on being able to do the same things at lower light levels and with a larger field of view.
The amount of information that can be stored by the ultimate laptop, 10 to the 31st bits, is much higher than the 10 to the 10th bits stored on current laptops.
