This is divisible into the districts of Samaria and Judaea.
Therefore, if (n-i) 1P+11 is divisible by (p+I)!, 'n 1P+11 is divisible b y (p +i) !.
This latter, which is his "capital," is divisible into the two classes of "fixed" and "circulating."
The white population is broadly divisible into the British and Dutch elements, the percentage of other whites in 1904 being but 8.6.
Solutions of colloids in solvents such as water and alcohol seem to be divisible into two classes.
The body is divisible into a proboscis and a trunk with sometimes an intervening neck region.
(a) It is clear that every integer is divisible by I!.
The inhabitants are roughly divisible into two types - Arabs in the plains and Nubas in the hills.
In the first, all affection phenomena are primarily divisible into those which are pleasurable and those which are the reverse.
Smith conceived the entire subject he had to treat in his public lectures as divisible into four heads, the first of which was natural theology, the second ethics, the third jurisprudence; whilst in the fourth "he examined those political regulations which are founded upon expediency, and which are calculated to increase the riches, the power, and the prosperity of a state."
Caimi the present Jewish communities of Greece are divisible into five groups: (r) Arta (Epirus); (2) Chalcis (Euboea); (3) Athens (Attica); (4) Volo, Larissa and Trikala (Thessaly); and (5) Corfu and Zante (Ionian Islands).
The Arachnida are divisible into two grades of structure - according to the fixity or non-fixity of the number of somites building up the body: - Grade A (of the Arachnida).
The family is divisible into two sub-families, of which the first, or Sminthinae, is represented only by the genus Sminthus, containing a few species which range from Denmark into Western Asia, Kashmir and China.
It is divisible into two well-marked periods - the first extending to the end of the 12th century and embracing as its chief names Roscellinus, Anselm, William of Champeaux and Abelard, while the second extended from the beginning of the 13th century to the Renaissance and the general distraction of men's thoughts from the problems and methods of Scholasticism.
Then the assumption is that, whatever positive integral value n may have, n [P] is divisible by p!.
" The atomists assert that after a certain number of such divisions the parts would be no longer divisible, because each of them would be an atom.
Meanwhile, the same considerations had not been applied to time, so that in the days of Zeno of Elea time was still regarded as made up of a finite number of ` moments,' while space was confessed to be divisible without limit.
The mouth leads at once into the true digestive cavity, divisible into an oesophageal region in the manubrium and a more dilated cavity, the stomach (st.), occupying the centre of the umbrella.
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.
The country is divisible, broadly, into three zones running parallel with the coast: (I) the delta, (2) forest region, giving place to (3) the plateau region.
Even in external view, careful inspection will show that the body is divisible into four regions, namely, cephalic, atrial, abdominal and caudal.
The ectoderm rarely consists of more than one layer of cells: these are divisible by structure and function into nervous, muscular and secretory cells, supported by interstitial cells.
The colonial budgets totalled in 1907 some 16,760,000, being divisible into six categories: Algeria 4,120,000; Tunisia 3,640,000; Indo-China3 about 5,000,ooo; West Africa 1,600,000; Madagascar 960,000; all other colonies combined 1,440,000.
The body is often divisible into regions.
The section is divisible into the families Equidae and Palaeotheriidae, of which the latter is extinct.
On the continent of Europe it is customary to consider coal as divisible into two great classes, depending upon differences of colour, namely, brown coal, corresponding to the term "lignite" used in England and France, and black or stone coal, which is equivalent to coal as understood in England.
The ego and non-ego limit one another, or determine one another; and, as limitation is negation of part of a divisible quantum, in this third act, the divisible ego is op-posed to a divisible non-ego.
Rather we may say with Maine, "Sovereignty is divisible, but independence is not."
According to his phenomenalism, the external stimulus and the physiological stimulus are both parallels of the same psychical process; the external body, as well as my body, is merely an object abstracted from an idea of my experience; and what is really known in every case is a unitary experience; divisible, but not separable, into body and soul, physical and psychical factors of one and the same unitary experience.
The population is generally divisible into I The fellahin or peasantry and the native townsmen.
This conception of matter, as infinitely divisible and continuous, was taught by Anaxagoras more than four centuries before the Christian era, and in the philosophy of Aristotle the same ideas are found.
The colonies are divisible into two classes, (I) those possessing considerable powers of local self-government, (2) those in which the local government is autocratic. To this second class may be added the protectorates (and some colonies) where the native form of government is maintained under the supervision of French officials.
In order that a monomial containing a m as a factor may be divisible by a monomial containing a p as a factor, it is necessary that p should be not greater than m.
Is then an expression of the form a p b e c r d s, where p, q, r, s have the greatest possible values consistent with the condition that each of the given expressions shall be divisible by a p b e c r d s .
(v.) Since (r) is an integer, (r) is divisible by r!; i.e.
This was the state of opinion when the celebrated arguments against the possibility of motion, of which that of Achilles and the tortoise is a specimen, were propounded by Zeno, and such, apparently, continued to be the state of opinion till Aristotle pointed out that time is divisible without limit, in precisely the same sense that space is.
These particles, however, would be still divisible by their own nature, because the Deity cannot diminish his own power, and therefore must retain his power of dividing them.
A school committee consisting of any number of members divisible by three is chosen, one-third each year, at the annual town-meeting or at a special meeting which is held in the same month.
The class is divisible into two main divisions or sub-classes, Hydromedusae and Scyphornedusae, of which definitions and detailed systematic accounts will be found under these headings.
But while the banner was square the pennon, which resembled it in other respects, was either pointed or forked at its extremity, and the pencel, which was considerably less than the others, always terminated in a single tail or streamer.6 If indeed we look at the scale of chivalric subordination from another point of view, it seems to be more properly divisible into four than into three stages, of which two may be called provisional and two final.
No number of the form 4n+3, or 4n - I, can be the sum of two squares), and goes on to a d, practically, the condition stated by Fermat, "and the double of it [n] increased by one, when divided by the greatest square which measures it, must not be divisible by a prime number of the form 4n - 1," except for the omission of the words "when divided.
When the net product of the ceded revenues amounts to £T2,157,375, the surplus is divisible as to 75% to the Turkish government and 25% to the public debt administration.
Is of the form a p b e c r d s, where p, q, r, s have the least possible values consistent with the condition that a P PC'd s shall be divisible by each of the given expressions.
There is no doubt but that in the Maccabean times and onward 218 was the shekel; but the use of the word darkemon by Ezra and Nehemiah, and the probabilities of their case, point to the daragmaneh, 1/60 maneh or shekel of Assyria; and the mention of 1/3 shekel by Nehemiah as poll tax nearly proves that the 129 and not 218 grains is intended, as 218 is not divisible by 3.
With This Correction The Rule Of Intercalation Is As Follows: Every Year The Number Of Which Is Divisible By 4 Is A Leap Year, Excepting The Last Year Of Each Century, Which Is A Leap Year Only When The Number Of The Century Is Divisible By 4; But 4000, And Its Multiples, 8000, 12,000, 16,000, &C. Are Common Years.
A president and vice-president are voted for every fourth year, in the years divisible by four, on the first Tuesday following the first Monday of November.
Word meaning "some," "so many"), a term generally occurring in the phrase "aliquot part," and meaning that one quantity is exactly divisible into another; thus 3 is an aliquot part of 6.
(3) Therefore n1P+11 is divisible by (p+ I) !, whatever positive integral value n may have.
The baseball player wanted a bigger paycheck because he helped the team win the pennant.
To hold sovereignty not to be divisible is for juridical purposes not a working theory; states part, permanently or temporarily, with few or many of the rights and powers comprehended in sovereignty; to speak of it as undivided in the case of Crete, Egypt or Tibet is to do violence to facts.
According to him, we begin with an experience of ideas, in which object and idea are originally identical (V orstellungsobject); we divide this unitary experience into its subjective and objective factors; and especially in natural science we so far abstract the objects as to believe them at last to be independent things; but it is the office of psychology to warn us against this popular dualism, and to teach us that there is only a duality of psychical and physical, which are divisible, not separable, factors of one and the same content of our immediate experience; and experience is our whole knowledge.
On the North American continent, as in Europe, the Cambrian system is divisible into three series: (i) the lower or "Georgian," with Olenellus fauna; (2) the middle or "Acadian," with Paradoxides or Dikelocephalus fauna; (3) the upper or "Potsdam," with Olenus fauna (with Saratogan or St Croix as synonyms for Potsdam).
Therefore n 1P+11 -(n-I) (P+11 is divisible by p!.
According To The Gregorian Rule Of Intercalation, Therefore, Every Year Of Which The Number Is Divisible By Four Without A Remainder Is A Leap Year, Excepting The Centurial Years, Which Are Only Leap Years When Divisible By Four After Omitting The Two Ciphers.
But, by hypothesis, n 1P1 is divisible by p!.
(2) But 11P+11=(p+i)!, which is divisible by (p+I)!.
They cling tenaciously to their native language, which is closely allied to the Finnish, and divisible into two, or according to some authorities into three, principal dialects - Dorpat Esthonian and Reval Esthonian, with Pernau Esthonian.