Word Finder - fraction

definition

A part of a whole, especially a comparatively small part.

definition

A ratio of two numbers, the numerator and the denominator, usually written one above the other and separated by a horizontal bar.

definition

A component of a mixture, separated by fractionation.

definition

In a eucharistic service, the breaking of the host.

definition

A small amount.

definition

The act of breaking, or state of being broken, especially by violence.

definition

To divide or break into fractions.

His expression was bewildered for only a fraction of a second, and then he made a face.

A known fraction of the current is then indicated and measured.

I'm sure prices were a fraction of today.

The thirty-four extant are but a small fraction.

They say another fraction of an inch, or another five minutes.

Destiny looked surprised for a fraction of a second before she started to scream.

We thus express P=Q in the form of a continued fraction, k+ + I, which is usually written,for conciseness, k+ s + t + &c., s t+&c.

For the dark rings Ji(z) =o; so that the fraction of illumination outside any dark ring is simply Jo 2 (z).

In general, we may say that aberration is unimportant when it nowhere (or at any rate over a relatively small area only) exceeds a small fraction of the wavelength (X).

The position of the middle of the bright band representative of a mathematical line can be fixed with a spider-line micrometer within a small fraction of the width of the band, just as the accuracy of astronomical observations far transcends the separating power of the instrument.

A fraction of a second later the aperture occupies a bright place, and the star reappears.

The works of the Arabian medical writers who have now been mentioned form a very small fraction of the existing literature.

When we know the mass of the earth in gravitational measure, its product by the denominator of the fraction just mentioned gives the mass of the sun in gravitational measure.

He was also the first to consider the difficult problems involved in equations of mixed differences, and to prove that an equation in finite differences of the first degree and the second order might always be converted into a continued fraction.

The larger the bridge, the more important is economy of material, not only because the total expenditure is more serious, but because as the span increases the dead weight of the structure becomes a greater fraction of the whole load to be supported.

The theory, however, starts with the publication in 16J5 by Lord Brouncker of the continued fraction I 23252 i 2 + 2 + 2 +.

Fleuss consists of a vacuum pump capable of reducing the air pressure to a fraction of a millimetre, the suction pipe of which is connected first with a vessel containing sulphuric acid, and second with the vessel containing the water to be frozen.

Its amount varies a fraction of a minute for the same date, from year to year and from one longitude to another, on the same day.

She wore a tee shirt with no bra, perhaps in some vague attempt to emulate Penny, but with only a fraction of the appropriate equipment.

He lifted his micro, which pulsed red for a fraction of a moment.

Many of these items may be just like new but cost a fraction of the original price.

This ingenious operation widens the track at the expense of an unimportant fraction of its length.

It may differ even by a considerable fraction of a second..

We cannot, for instance, say that the fraction C _2 I is arithmetically equal to x+I when x= I, as well as for other values of x; but we can say that the limit of the ratio of x 2 - I to x - I when x becomes indefinitely nearly equal to I is the same as the limit of x+ On the other hand, if f(y) has a definite and finite value for y = x, it must not be supposed that this is necessarily the same as the limit which f (y) approaches when y approaches the value x, though this is the case with the functions with which we are usually concerned.

As the sinking of shafts or the driving of narrow entries or drifts is expensive, and as the mineral extracted rarely pays more than a small fraction of the cost, it is usual to plan this exploratory work so that the openings made shall serve some useful purpose later.

After he had minutely arranged the Eastern Detachment in a series of rearguard positions, so that each fraction of it could contribute a little to the game of delaying the enemy before retiring on the positions next in rear, the commander of the detachment, Zasulich, told him that " it was not the custom of a knight of the order of St George to retreat," and Kuropatkin did not use his authority to recall the general, who, whether competent or not, obviously misunderstood his mission.

The one piastre piece is worth a fraction over 24d.

Such are but a fraction of its achievements.

The notation employed by English writers for the general continued fraction is al b2 b3 b4 a 2 "' Continental writers frequently use the notation a 1 ?

The toluene fraction requires a more thorough washing with sulphuric acid in order to eliminate the thiotolene, which is sulphonated much less readily than thiophene.

It dissolves in a fraction of its weight of even cold water, forming a syrupy solution.

An order in council was enacted in 1899 providing that no Maltese (except students of theology) should thenceforth suffer any detriment through inability to pass examinations in Italian, in either the schools or university, but the fraction of the Maltese who claim to speak Italian (13.24%) still command sufficient influence to hamper the full enjoyment of this emancipation by the majority.

After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.

We can thus measure as described the drop in volts down a known fraction of the whole high resistance and therefore calculate the fall in potential down the whole of the high resistance, which is the potential difference required.

The time since the last glacial epoch is but a fraction of the time since the first probably no more than a fifteenth or a twentieth.

The general test of irrationality which he established is that, if a l a, a, be an interminate continued fraction, a l, a2,

Now, As The Year Consists Of 365 Days And A Fraction, And 365 Is A Number Not Divisible By 12, It Is Impossible That The Months Can All Be Of The Same Length And At The Same Time Include All The Days Of The Year.

This Differed From The Solar Year By Ten Whole Days And A Fraction; But, To Restore The Coincidence, Numa Ordered An Additional Or Intercalary Month To Be Inserted Every Second Year Between The 23Rd And 24Th Of February, Consisting Of Twenty Two And Twenty Three Days Alternately, So That Four Years Contained 1465 Days, And The Mean Length Of The Year Was Consequently 3664 Days.

Now, From The Manner In Which The Intercalation Is Directed To Be Made (Namely, Seven Times Successively At The End Of 300 Years, And Once At The End Of 400), It Is Evident That The Fraction 2 Must Amount To Unity When The 5 Number Of Centuries Amounts To Twenty Four.

The change of frequency (dn) for a series of lines which behave similarly is approximately proportional to the frequency (n) so that we can take the fraction do/n as a measure of the shift.

The first question he answered from his imagination by supposing that, while the external world is stimulus of the nervous process, the nervous process is the immediate stimulus of the sensation, and that the sensation increases by a constant fraction of the previous stimulus in the nervous system, when Weber's law proves only that it increases by a constant fraction of the previous stimulus in the external world.

The spread of toleration, which always savours minorities, broke down between 1845 and 1873 the Lutheran exclusiveness of Norway, Denmark and Sweden; but as yet the Catholics form a disappearing fraction of the population.

Pennsylvania is by far the most important coalproducing state in the Union, and as much of the iron ore of the Lake Superior region is brought to its great bituminous coal-field for rendering into pig-iron, the value of the state's mineral products constitutes a large fraction of the total value for the entire country; in 1907, when the value of the mineral products of the state was $ 6 57,7 8 3,345, or nearly one-third that of all the United States, and in 1908 when the total for the state was $473,083,212, or more than one-fourth that of the whole United States, more than fourfifths of it was represented by coal and pig-iron.

In this case the carbonaceous beds-coal-seams-naturally appealed most strongly to the imagination, and the name is a good one, notwithstanding the fact that coal-seams occupy but a small fraction of the total thickness of the Carboniferous system; and although subsequent investigations have demonstrated the existence of coal in other geological formations, in none of these does it play so prominent a part.

Curie obtained only a fraction of a gramme of the chloride and Giesel 2 to 3 gramme of the bromide from a ton of uranium residues.

If this arrangement is expressed by a fraction, the numerator of which indicates the number of turns, and the denominator the number of internodes in the spiral cycle, the fraction will be found to represent the angle of divergence of the consecutive leaves on the axis.

In this simple case the temperature cycle at a depth x is a precisely similar curve of the same period, but with the amplitude reduced in the proportion rn ', and the phase retarded by the fraction mx/27r of a cycle.

The motor field, therefore, though absolutely larger, forms a smaller fraction of the whole cortex of the brain than in the lower forms. The statement that in the anthropoid (orang-outan) brain the groups of foci in the motor fields of the cortex are themselves separated one from another by surrounding inexcitable cortex, has been made and was one of great interest, but has not been confirmed by subsequent observat'on.

Yet it is but a small fraction of the ulema of the Moslem world that enjoy even such an education as the Azhar affords.

We may therefore conclude that for large classes of characters, both animal and vegetable, the variability of an individual, as measured by the standard deviation of its undifferentiated but repeated organs, is a constant fraction of the variability of its race, as measured by the standard deviation of the corresponding series of organs produced by all the individuals of its race.