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Page "Matrix mechanics" ¶ 107
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if and atoms
So if you are made of atoms, you are just a big machine ; ;
Now if one hydrogen atom were placed at the surface of a large sphere of hydrogen atoms, it would be subject both to the gravitation of the sphere and the charge-excess of all those atoms in the sphere.
Moseley, after discussions with Bohr who was at the same lab ( and who had used Van den Broek's hypothesis in his Bohr model of the atom ), decided to test Van den Broek and Bohr's hypothesis directly, by seeing if spectral lines emitted from excited atoms fit the Bohr theory's demand that the frequency of the spectral lines be proportional to a measure of the square of Z.
However, if the steel is cooled quickly the carbon atoms will not have time to precipitate.
While modelling atoms in isolation may not seem realistic, if one considers atoms in a gas or plasma then the time-scales for atom-atom interactions are huge in comparison to the atomic processes that are generally considered.
This means that the individual atoms can be treated as if each were in isolation, as the vast majority of the time they are.
All of the heavy elements that are derived solely through artificial means are radioactive, with very short half-lives ; if any atoms of these elements were present at the formation of Earth, they are extremely likely to have already decayed, and if present in novae, have been in quantities too small to have been noted.
Dislocations can move if the atoms from one of the surrounding planes break their bonds and rebond with the atoms at the terminating edge.
Thus if we reason from the statement " Pegasus flies " to the statement " Pegasus exists ", we are not asserting that Pegasus is made up of atoms, but rather that Pegasus exists in a particular worldview, the worldview of classical myth.
Formally, oxidation state is the hypothetical charge that an atom would have if all bonds to atoms of different elements were 100 % ionic.
Any subgroup of atoms of a compound also may be called a radical, and if a covalent bond is broken homolytically, the resulting fragment radicals are referred as free radicals.
When comparing periodic trends in the size of atoms it is often desirable to apply so-called Goldschmidt correction, which converts the radii to the values the atoms would have if they were 12-coordinated.
Nanodevices could be observed at work inside the body using MRI, especially if their components were manufactured using mostly < sup > 13 </ sup > C atoms rather than the natural < sup > 12 </ sup > C isotope of carbon, since < sup > 13 </ sup > C has a nonzero nuclear magnetic moment.
If the lifetime of this transition, τ < sub > 21 </ sub > is much longer than the lifetime of the radiationless 3 → 2 transition τ < sub > 32 </ sub > ( if τ < sub > 21 </ sub > ≫ τ < sub > 32 </ sub >, known as a favourable lifetime ratio ), the population of the E < sub > 3 </ sub > will be essentially zero ( N < sub > 3 </ sub > ≈ 0 ) and a population of excited state atoms will accumulate in level 2 ( N < sub > 2 </ sub > > 0 ).
For example, if classical mechanics truly governed the workings of an atom, electrons would rapidly travel toward, and collide with, the nucleus, making stable atoms impossible.
An intense flood of particles or waves will not cause ionization if these particles or waves do not carry enough energy to be ionizing, unless they raise the temperature of a body to a point high enough to ionize small fractions of atoms or molecules by the process of thermal-ionization ( this requires relatively extreme radiation energies, however ).
In a group of such atoms, if the number of atoms in the excited state is given by N < sub > 2 </ sub >, the rate at which stimulated emission occurs is given by:
An atom holding one or more electrical charges is enclosed in brackets, followed by the symbol H if it is bonded to one or more atoms of hydrogen, followed by the number of hydrogen atoms ( as usual one is omitted example: NH4 for ammonium ), then by the sign '+' for a positive charge or by '-' for a negative charge.

if and are
If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.
If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.
Southern Liberals ( there are a good many ) -- especially if they're rich -- often exhibit blithe insouciance.
The assumptions upon which the example shown in Figure 3 is based are: ( A ) One man can direct about six subordinates if the subordinates are chosen carefully so that they do not need too much personal coaching, indoctrinating, etc..
Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.
Only by means of an intensive preoccupation with the detailed considerations following from any decision can he ensure attention to the practical details to be dealt with if the implications of immorality in the major decision are effectively to be checked.
But however we come, finally, to explain and account for the present, the truth we are trying to expose, right now, is that the makers of constitutions and the designers of institutions find it difficult if not impossible to anticipate the behavior of the host of all their enterprises.
To us and to every nation of the Free World, rich or poor, these qualities are necessary today as never before if we are to march together to greater security, prosperity and peace.
After allowing for group exposures, it is apparent that other factors must be considered if we are to comprehend fanaticism.
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
But if you are able & care to come, you know how glad I shall be.
The poems which were addressed to her, while they are far more restrained than those of `` Love In Dian's Lap '', show no great technical advance over those of the `` Narrow Vessel '' group and are, if anything, somewhat more labored.
In fact, if judgments are to be rendered upon the soundness of his historicism, they must be based on scanty evidence.
That time is now past and the Atlantic nations, if they are to survive, must develop a full-fledged community, and they must also look beyond the frontiers of `` Western civilization '' toward a world-wide `` concert of free nations ''.
It is an ugly business and there are few, if any, wreaths for them.
Such support should not be difficult to come by if all the plans to be presented by the NCTA are as attractive as this outline of express buses coming into the downtown area.
But if anything can bring home to Mr. Khrushchev the idea that he will not really get much enjoyment from watching this Braddock-against-the-Indians contest, it will probably be the fact that SEATO forces are ready to attempt it -- plus the fact that Moscow has something to lose from closing off disarmament and other bigger negotiations with Washington.
So, if the Orioles are to improve, Brandt, Triandos and Walker will have to do it.
These programs are volumes of waste paper and lost hours if the citizens of a community must stand aside while land developers tell them when, where, and in what manner the community shall grow.
I once heard a comedian say that if you are killed by a taxicab in New York, it is listed as `` death due to natural causes ''.
In addition, would not the young female public of Washington be afforded a greater degree of protection at night when they are on the streets if they were accompanied by a dog on a leash??

if and far
The silence oppressed him, made him bend low over the horse's neck as if to hide from a wind that had begun to blow far away and was twisting slowly through the darkness in its slow search.
He doubted if a man could wade as far as the desolate, dry hills that rimmed the valley.
I think it is essential, however, to pinpoint here the difference between the two concepts of sovereignty that went to war in 1861 -- if only to see better how imperative is our need today to clarify completely our far worse confusion on this subject.
Even if people do, in a not far distant future, begin to read one another's minds, there will still be the question of whether what you find in another man's mind is especially worth reading -- worth more, that is, than what you can read in good books.
`` I try to treat Daniel as if he were normal, though of course I realize he is far from that at present.
Then, to conclude on an indeterminate note: `` Nevertheless, if fallout increased substantially, or remained high for a long time, it would become far more important as a potential health hazard in this country and throughout the world ''.
I remarked jocularly to the President that the future of China would be far more certain if he would invite a planeload of selected American Liberals to Quemoy on an odd day.
If a branch extended out too far, each man held it back for the next, and if they met a low overhang, each warned the other.
Occasionally if I pushed him too far he'd give me a look out of narrowed eyes and the hard cruel bony skull would show through that smooth face of his.
He might not have gone that far if Pa hadn't been locked in laughing fit to shake the house.
It is one of the very few, if not the only surviving bridge of its type to serve a main artery of the U.S. highway system, thus it is far more than a relic of the horse and buggy days.
In fact, they went so far as to caution the writer that if he attempted to design a section exclusively for married students there should be, at the beginning, some `` hindsight '' study ; ;
Some of the earliest recordings, made in the 1940's demonstrated that psychiatrists reacted immediately to anger and anxiety in the sound track, whereas written records of the same interview offered far fewer cues to therapy which -- if they were at all discernible in print -- were picked up only by the most skilled and sensitive experts.
However, the teacher can only go so far if the attitude of the community and the family is anti-intellectual.
It is the only county in the state so far this month reporting a possible shortage in GA category, for which emergency allotment can be given by the state if necessary.
No doubt the underlying idea was to show that for all the elegance and artistry that have distinguished its presentations thus far, it too could give a circus if it pleased.
The cynicism was back in her eyes, a bitter wisdom, and I wondered if forty were not so far wrong after all.
Sashimi was In, Samuel Burns had suggested, because it was too far Out to stay Out, even if it was a little pretentious.
# Look at each of the remaining items in the list and if it is larger than the largest item so far, make a note of it.
This algorithm is often more numerically reliable than the naïve algorithm for large sets of data, although it can be worse if much of the data is very close to but not precisely equal to the mean and some are quite far away from it.
So if they were to be extended far enough they would seem to merge, at least as far as the eye could discern.
The French moved first to Tirlemont, ( as if to threaten Zoutleeuw, abandoned by the French in October 1705 ), before turning southwards, heading for Jodoigne – this line of march took Villeroi ’ s army towards the narrow aperture of dry ground between the Mehaigne and Petite Gheete rivers close to the small villages of Ramillies and Taviers ; but neither commander quite appreciated how far his opponent had travelled.
Legend has it that for five great Gaelic families — the O ' Gradys, the O ' Neills, the Ó Briains, the Ó Conchobhairs, and the Caomhánachs — the lament would be sung by a fairy woman ; having foresight, she would sing the lament when a family member died, even if the person had died far away and news of their death had not yet come, so that the wailing of the banshee was the first warning the household had of the death.

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