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Page "Brownian motion" ¶ 15
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number and atoms
and I asked myself a question: Suppose I had the same number of peas as there are atoms in my body, how large an area would they cover??
we cover each of these with our blanket of peas and then at last we have octillion peas corresponding in number to the atoms in the body.
The degree of saturation depends on the number of hydrogen atoms on the fat molecule.
The number of carbon atoms is used to define the size of the alkane ( e. g., C < sub > 2 </ sub >- alkane ).
There is no limit to the number of carbon atoms that can be linked together, the only limitation being that the molecule is acyclic, is saturated, and is a hydrocarbon.
Only after 1915, with the suggestion and evidence that this Z number was also the nuclear charge and a physical characteristic of atoms, did the word and its English equivalent atomic number come into common use.
Hence it is the atomic number alone that determines the chemical properties of an element ; and it is for this reason that an element can be defined as consisting of any mixture of atoms with a given atomic number.
Synthesis of new elements is accomplished by bombarding target atoms of heavy elements with ions, such that the sum of the atomic numbers of the target and ion elements equals the atomic number of the element being created.
Ionization is generally undesirable, as it reduces the number of atoms that is available for measurement, i. e., the sensitivity.
If the two carbon atoms at the double bond are linked to a different number of hydrogen atoms, the halogen is found preferentially at the carbon with fewer hydrogen substituents ( Markovnikov's rule ).
... the atoms of the elements consist of a number of negatively electrified corpuscles enclosed in a sphere of uniform positive electrification, ...
The number of atoms on the left and the right in the equation for a chemical transformation is equal ( when unequal, the transformation by definition is not chemical, but rather a nuclear reaction or radioactive decay ).
A chemical element is characterized by a particular number of protons in the nuclei of its atoms.
Although all the nuclei of all atoms belonging to one element will have the same number of protons, they may not necessarily have the same number of neutrons ; such atoms are termed isotopes.
Ninety – four different chemical elements or types of atoms based on the number of protons are observed on earth naturally, having at least one isotope that is stable or has a very long half-life.

number and contained
It contained, for example, a number of curious admissions about the peasants, who enjoy no sickness benefits, no old-age pensions, no paid holidays ; ;
As the result of an exhaustive review of the recommendations contained in this report, plus an analysis of our own enabling act, the Planning Division developed a number of basic planning objectives which caused a reorientation of its work program.
These were increased both in number and in size, contained prominent nucleoli, and were distributed throughout the fiber ( Figs. 2 - 5 ).
Up until the 1950s, Abensberg and the surrounding villages contained a number of graves of victims of a Death March in the Spring of 1945 from the Hersbruck sub-camp of the Dachau concentration camp, who were either murdered by the SS or died of exhaustion.
Some folk etymologies argue that the original forms of these symbols indicated their value through the number of angles they contained, however there is no proof of any such origin.
In the United Kingdom, the number of units contained in a typical serving of an alcoholic beverage is publicised and printed on bottles.
Before the rise of the mendicant orders ( wandering friars ) in the thirteenth century, the daily services were usually contained in a number of large volumes.
They had finished in last place for two successive seasons, although they contained a number of promising young players.
While he supported the idea of government by an all-powerful sage, ruling as an Emperor, his ideas contained a number of elements to limit the power of rulers.
* If the metric space X is compact and an open cover of X is given, then there exists a number such that every subset of X of diameter < δ is contained in some member of the cover.
Gauss also made important contributions to number theory with his 1801 book Disquisitiones Arithmeticae ( Latin, Arithmetical Investigations ), which, among things, introduced the symbol ≡ for congruence and used it in a clean presentation of modular arithmetic, contained the first two proofs of the law of quadratic reciprocity, developed the theories of binary and ternary quadratic forms, stated the class number problem for them, and showed that a regular heptadecagon ( 17-sided polygon ) can be constructed with straightedge and compass.
Schaffner, assuming the note contained a lonely businessman's phone number, dropped it unopened into her purse.
* According to an IDC paper sponsored by EMC Corporation, 161 exabytes of data were created in 2006, " 3 million times the amount of information contained in all the books ever written ," with the number expected to hit 988 exabytes in 2010.
An instruction consisted of a five-bit instruction code ( designed to be represented by a mnemonic letter, so that the Add instruction, for example, used the bit pattern for the letter A ), one unused spare bit, ten bits for a memory address, and one bit to control whether the instruction operated on a number contained in one word or two.
But it contained a large number of persons who had left their own country for the most urgent of reasons.
His cosmological theories went beyond the Copernican model in proposing that the Sun was essentially a star, and moreover, that the universe contained an infinite number of inhabited worlds populated by other intelligent beings.
The average litter size for Syrian hamsters is about seven pups, but can be as great as 24, which is the maximum number of pups that can be contained in the uterus.
This was particularly true of the area of the present-day state of Louisiana, which also contained a large number of free people of color.
MK was formed as a pressure group in 1951, and contained as members activists and politicians from a number of political parties.
Also the molar mass comes into comparison with the number of particles contained within the structure by multiplying the number of moles by Avogadro's constant: N < sub > A </ sub >= 6. 022 · 10 < sup > 23 </ sup > mol < sup >− 1 </ sup >.

number and volume
In addition, the SBA uses such criteria as number of employees and dollar volume of the business.
Actually, the engine displacement formula is the standard formula for computing the volume of a cylinder of any type with an added factor that represents the number of cylinders in the engine.
There sit men who make moving averages of weekly volume, monthly averages of price-earnings ratios, ratios of the number of advances to the number of declines, ratios of an individual stock's performance to overall market performance, ratios of rising price volume to falling price volume, odd-lot indices, and what not.
`` As we look to the $800 billion economy that is predicted for 1970 and the increase of about 40% in consumer expenditures that will be required to reach that goal, management can well be restless about how this tremendous volume and number of new products will be created and marketed '', Peterson said.
being the specific heat for constant volume, is the adiabatic index, and is the number of degrees of freedom ( 3 for monatomic gas, 5 for diatomic gas ).
If we take in our hand any volume ; of divinity or school metaphysics, for instance ; let us ask, Does it contain any abstract reasoning concerning quantity or number?
The number of UK units of alcohol in a drink can be determined by multiplying < var > the volume of the drink ( in milliliters )</ var > by its < var > percentage ABV </ var >, and dividing by 1000.
When the volume of an alcoholic drink is shown in centilitres, determining the number of units in a drink is as simple as < var > volume </ var > × < var > percentage </ var > ( converted into a fraction of 1 ).
A number of harmful and undesired ( adverse ) effects have been observed, including lowered life expectancy, extrapyramidal effects on motor control – including akathisia ( an inability to sit still ), trembling, and muscle weakness – weight gain, decrease in brain volume ( although this is being debated, since schizophrenia, which is often treated with antipsychotics, also causes a shrinkage of brain volume ), enlarged breasts ( gynecomastia ) in men and milk discharge in men and women ( galactorrhea due to hyperprolactinaemia ), lowered white blood cell count ( agranulocytosis ), involuntary repetitive body movements ( tardive dyskinesia ), diabetes, sexual dysfunction, a return of psychosis requiring increasing the dosage due to cells producing more neurochemicals to compensate for the drugs ( tardive psychosis ), and a potential for permanent chemical dependence leading to psychosis worse than before treatment began, if the drug dosage is ever lowered or stopped ( tardive dysphrenia ).
: is number of charged particles per unit volume ( or charge carrier density )
Compression of the electron gas increases the number of electrons in a given volume and raises the maximum energy level in the occupied band.
Furthermore, in chemistry, four types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.
The number concentration is defined as the number of entities of a constituent in a mixture divided by the volume of the mixture:

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