Denoted Sentence Examples

Let this number be denoted by (w; 0, n).

The essence of the tax denoted by these names was that the amount was fixed en bloc for a whole group of persons, and afterwards divided among them in various ways.

It is quite possible that shabattum and nubattum are from the same root and originally denoted much the same thing - a pause, abstention, from whatever cause or for ceremonial purposes.

Originally it seems to have denoted the coast district between the Oder and the Vistula, a territory which was at first more or less dependent on Poland, but which, towards the end of the 12th century, was ruled by two native princes, who took the title of duke about 1170 and admitted the authority of the German king in 1181.

The Greek form of Gallia was FaXaria, but Galatia in Latin denoted another Celtic region in central Asia Minor, sometimes styled Gallograecia.

He constructed a map of as many as 576 of these lines, the principal of which he denoted by the letters of the alphabet from A to G; and by ascertaining their refractive indices he determined that their relative positions are constant, whether in spectra produced by the direct rays of the sun, or by the reflected light of the moon and planets.

The words " Asiatic " and " Oriental " are often used as if they denoted a definite and homogeneous type, but Russians resemble Asiatics in many ways, and Turks, Hindus, Chinese, &c., differ in so many important points that the common substratum is small.

In Zeumer's edition of the Leges Wisigothorum the versions of Recceswinth and Erwig, where they differ from each other, are shown in parallel columns, and the laws later than Erwig are denoted by the sign "nov."

Compounds were denoted by joining the symbols of the components, and by varying the manner of joining compounds of the same elements were distinguished The symbol V was used to denote a liquid, and a vertical line to denote a gas.

If two compounds combined, the + signs of the free compounds were discarded, and the number of atoms denoted by an Arabic index placed after the elements, and from these modified symbols the symbol of the new compound was derived in the same manner as simple compounds were built up from their elements.

At a later date Berzelius denoted an oxide by dots, equal in number to the number of oxygen atoms present, placed over the element; this notation survived longest in mineralogy.

The ringed structure of benzene, C 6 H 61 was first suggested in 1865 by August Kekule, who represented the molecule by six CH groups placed at the six angles of a regular hexagon, the sides of which denoted the valencies saturated by adjacent carbon atoms, the fourth valencies of each carbon atom being represented as saturated along alternate sides.

Such marks had often a religious significance, and denoted that the bearer was a follower of a particular deity.

But the definition of the cardinal number of a class applies when the class is not finite, and it can be proved that there are different infinite cardinal numbers, and that there is a least infinite cardinal, now usually denoted by o where to is the Hebrew letter aleph.

The function Zap 1 a 2 P2 ...an n being as above denoted by a partition of the weight, viz.

The sum of the monomial functions of a given weight is called the homogeneous-product-sum or complete symmetric function of that weight; it is denoted by h.; it is connected with the elementary functions by the formula 1 7r1l7r2!7r3!

It should be noticed that the real function denoted by (ab) 2 is not the square of a real function denoted by (ab).

The extraordinary advantage of the transformation of S2 to association with non-unitary symmetric functions is now apparent; for we may take, as representative forms, the symmetric functions which are symbolically denoted by the partitions referred to.

If 0=2, every form is obviously a ground form or perpetuant, and the series of forms is denoted by (2), (22), (23),...(2K+1)....

Remark, too, that we are in association with non-unitary symmetric functions of two systems of quantities which will be denoted by partitions in brackets ()a, ()b respectively.

It is not likely, as many scholars have thought, that Akkad was ever used geographically as a distinctive appellation for northern Babylonia, or that the name Sumer denoted the southern part of the land, because kings who ruled only over Southern Babylonia used the double title "king of Sumer and Akkad," which was also employed by northern rulers who never established their sway farther south than Nippur, notably the great Assyrian conqueror Tiglath pileser III.

When the direction of any vector quantity denoted by a symbol is to be attended to, it is usual to employ for the symbol either a block letter, as H, I, B, or a German capital, as j,, 3?

The intensity of magnetization, or, more shortly, the magnetization of a uniformly magnetized body is defined as the magnetic moment per unit of volume, and is denoted by I, I, or „a.

A thin sheet of magnetic matter magnetized normally to its surface in such a manner that the magnetization at any place is inversely proportional to the thickness h of the sheet at that place is called a magnetic shell; the constant product hI is the strength of the shell and is generally denoted by 4, or 4.

Hence if the induction per square centimetre at any point is denoted by B, then in empty space B is numerically equal to H; moreover in isotropic media both have the same direction, and for these reasons it is often said that in empty space (and practically in air and other nonmagnetic substances) B and H are identical.

The ratio I/H is called the susceptibility of the magnetized substance, and is denoted by «.

A point A in space may be associated with a (real, positive, or negative) numerical quantity a, called its weight, and denoted by the symbol aA.

The equations q'+x = q and y+q' = q are satisfied by the same quaternion, which is denoted by q - q'.

It is the value of y which is generally denoted by q= q'; a special symbol for x is desirable, but has not been established.

This unit is called the supplement of E, and denoted by IE.

Stifel introduced the sign (+) for addition or a positive quantity, which was previously denoted by plus, pia, or the letter p. Subtraction, previously written as minus, mene or the letter m, was symbolized by the sign (-) which is still in use.

These works possess considerable originality, and contain many new improvements in algebraic notation; the unknown (res) is denoted by a small circle, in which he places an integer corresponding to the power.

The divinity primarily denoted by it is the storm-god who was known also as Ramman, Bir and Dadda.

For instance, in a uniplanar flow, radially inward towards 0, the flow across any circle of radius r being the same and denoted by 27rm, the velocity must be mfr, and 0=m log r,, y=m0, +4,i =m log re ie, w=m log z.

The components of velocity of the moving origin are denoted by U, V, W, and the components of angular velocity of the frame of reference by P, Q, R; and then if u, v, w denote the components of fluid velocity in space, and u', v', w' the components relative to the axes at a point (x, y, z) fixed to the frame of reference, we have u =U +u' - yR +zQ, v =V +v -zP +xR, w=W +w -xQ +yP.

The rise of Sargon's empire was doubtless the cause of this extension of the name of Akkad; from henceforward, in the imperial title, Sumer and Akkad " denoted the whole of Babylonia.

This quotient is called the change of entropy, and may be denoted by (4,"-0').

Let k denote this height, and let PM be denoted by 1.

For by transliterating Ka7vap Nepc'ev into Hebrew 1113 10,P and adding together the sums denoted by the Hebrew letters we obtain the number 666.

These fossils, which are now in the British Museum, were interpreted by Dr Mantell, who made comparisons with the skeleton of Iguana, on the erroneous supposition that the resemblance in the teeth denoted some relationship to this existing lizard.

The ordinate of the trapezette will be denoted by u, and the abscissa of this ordinate, i.e.

If the planes of one set divide it into m slabs of thickness h, and those of the other into n slabs of thickness k, so that H =mh, K = nk, then the values of x and of y for any ordinate may be denoted by xo+Oh and yo+Ok, and the length of the ordinate by uo, 0.

In the same way the volume of a briquette between the planes x = xo, y = yo, x= a, y = b may be denoted by [[Vx,y ]y=yo] u 'x' =xo.

The result of performipg both operations, in order to obtain the volume, is the result of the operation denoted by the product of these two expressions; and in this product the powers of E and of E' may be dealt with according to algebraical laws.

This is called the trapezoidal or chordal area, and will be denoted by C1.

This is called the tangential area, and will be denoted by T1.

Then, if the true moments are denoted by Pi, v 2, ..., their values are given by vi ?Pl P2 - 11.

Hence the note produced with any given circle of holes rises in pitch as the disk revolves more rapidly; and if, the revolution of the disk being kept as steady as possible, the tube be passed rapidly across the circles of the first series, a series of notes is heard, which, if the lowest be denoted by C, form the sequence C, C1, El, G1, C2, &c. In like manner, the first circle in which we have two sets of holes dividing the circumference, the one into say 8 parts, and the other into Io,.

The definition of the coefficients is that if (I-2h cos cp+h 2)-i be expanded in ascending powers of h, and if the general term be denoted by P„h', then P is of the Legendrian coefficient of the nth order.

The resistance R can thus be divided into two factors, one of which is d 2, where d denotes the diameter of the shot in inches, and the other factor is denoted by p, where p is the resistance in pounds at the same velocity to a similar I-in.

It is further assumed, as the result of experiment, that the resistance is proportional to the density of the air; so that if the standard density changes from unity to any other relative density denoted by then R= Td 2 p, and is called the coefficient of tenuity.

In any region of velocity where it is possible to represent p with sufficient accuracy by an empirical formula composed of a single power of v, say v m, the integration can be effected which replaces the summation in (to), (16), and (24); and from an analysis of the Krupp experiments Colonel Zabudski found the most appropriate index m in a region of velocity as given in the following table, and the corresponding value of gp, denoted by f (v)or v m lk or its equivalent Cr, where r is the retardation.

The quantity denoted by e is the series, I I I+ I + i.2 +1.2.3+1.2.3.4 + the numerical value of which is, 2.71828 18284 59 0 45 2 353 6 02874.

To every geometric mean in the column of numbers there corresponds the arithmetical mean in the column of logarithms. The numbers are denoted by A, B, C, &c., in order to indicate their mode of formation.

Few traces of private houses have been found within the walls, but as deeds of sale speak of houses in Nineveh, which were bounded on three sides by other houses, there must have been continuous streets within the area denoted by that name.

This ratio, invariably denoted by 7r, is constant for all circles, but it does not admit of exact arithmetical expression, being of the nature of an incommensurable number.

For The Sake Of Greater Generality, The Days Of The Week Are Denoted By The First Seven Letters Of The Alphabet, A, B, C, D, E, F, G, Which Are Placed In The Calendar Beside The Days Of The Year, So That A Stands Opposite The First Day Of January, B Opposite The Second, And So On To G, Which Stands Opposite The Seventh; After Which A Returns To The Eighth, And So On Through The 365 Days Of The Year.

The end of this period is generally said to coincide with the loss of the French provinces to Philip Augustus, but literary and political history do not correspond quite so precisely, and the end of the first period would be more accurately denoted by the appearance of the history of 'William the Marshal in 1225 (published for the Societe de l'histoire de France, by Paul Meyer, 3 vols., 1891-1901).

The significance of the word "mean," i.e., middle, is seen by considering 3 instead of n quantities; these will be denoted by a, b, c. The arithmetic mean b, is seen to be such that the terms a, b, c are in arithmetical progression,.

It appears to have denoted the territory above Babylonia stretching from Anshan in the southeast north-westwards, across the Tigris-Euphrates district, indefinitely towards Asia Minor.

The plural is denoted when required by adding one of several words of plurality.

This Shekinah-glory is several times denoted in the New Testament by & a.

The following is a select list of genera of miscellaneous decorative plants (orchids, palms and ferns excluded; climbers are denoted by *; bulbous and tuberous plants by f) Stove Plants.

The following is a select list of genera of stove plants (climbers are denoted by *, bulbous and tuberous plants by f) Acalypha Achimenest Aeschynanthus Allamanda* Alocasiat Amaryllist Anthurium Aphelandra Aralia Ardisia Arisaemaf Aristolochia * Ataccia Begonia Bertolonia Bignonia* Bromeliads Cactus Caladium f Calathea Centropogon Cissus* Clerodendron * Crinumt Codiaeum (Croton) ORcftIDs.

In ordinary isomers indications of mutual transformation often occur; and among these the predominant fact is that denoted as tautomerism or pseudomerism.

In algebra it denoted the characters which represented quantities in an equation.

If the gradient is not uniform, its value may be denoted by dB/dx.

It would therefore seem that the name Germani originally denoted certain Celtic tribes to the east of the Rhine, and that it was then transferred to the Teutonic tribes which subsequently occupied the same territory.

Others are the sibilation of consonantal i and the assibilation of -di- to some sound like that of English j (denoted by B in the local variety of Latin alphabet), as in vidadu, " viamdo," i.e.

Unfortunately Buckle either could not define, or cared not to define, the general conceptions with which he worked, such as those denoted by the terms "civilization," "history," "science," "law," "scepticism," and "protective spirit"; the consequence is that his arguments are often fallacies.

Thus the name which once denoted the good genius who bestowed the precious gift of water upon man was adopted to this use in vulgar Latin under the form Catamitus.

Moreover, the solar period (II years) is far outside the limits of the periods of 1 Variable stars (except those sufficiently bright to have received special names) are denoted by the capital letters R to Z followed by the name of the constellation.

The first nine variables recognized in each constellation are denoted by single letters, after which combinations RR, RS, &c., are used.

The objects denoted by the other six names - ox, house, valve of a door, water, fish and mark or cross - clearly do not belong to any people in a nomadic state, but to a settled, town-abiding population..

Let these projections be denoted algebraically by x1, xi,.

The squares of the radii of gyration about the principal axes at P may be denoted by k,i+k32, k,f + ki2, k12 + k,2 hence by (32) and (35), they are rfOi, r2Oi, r20s, respectively.

This acceleration is denoted by g; its value at Greenwich is about 981 centimetre-second units, or 322 feet per second.

Thus the unit of velocity is that of a point describing the unit of length in the unit of time; it may be denoted by LTi, this symbol indicating that the magnitude of the unit in question varies directly as the unit of length and inversely as the unit of time.

The unit of acceleration is the acceleration of a point which gains unit velocity in unit time; it is accordingly denoted by LT2.

The components of angular momentum about Ox, Qy, 01 will be denoted as usual by X, u, v.

By an obvious analogy, the expressions OTfO4r may be called the generalized components of momentum; they are usually denoted by Pr, thus = OT/aq,.

Let the angular velocity of the rotation be denoted by a=dO/dt, then the linear velocity of any point A at the distance r from the axis is or; and the path of that point is a circle of the radius r described about the axis.

Let the axis Ai carry a wheel of N1 teeth, driving a wheel of ni teeth on the axis Ai, which carries also a wheel of N2 teeth, driving a wheel of 113 teeth on the axis A3, and so on; the numbers of teeth in drivers being denoted by Ns, and in followers by ns, and the axes to which the wheels are fixed being denoted by numbers.

On this a scholiast says that the name "Homeridae " denoted originally descendants of Homer, who sang his poems in succession, but afterwards was applied to rhapsodists who did not claim descent from him.

Moral feeling, indeed, existed and was denoted by " Aidos "; but the numerous meanings of this word - shame, veneration, pity - show how rudimentary the idea was.

The fact that the Phoenician Vau was retained in the Greek alphabets, and the vowel v added, shows that when the alphabet was introduced the sound denoted by was still in full vigour.

It can only have fallen into disuse by degrees, as the sound which it denoted ceased to be pronounced.

The term " finance," which comes into English through French, in its original meaning denoted a payment (finatio).

H „ Light and represents a rise of about £I P „ Picked £3 G „ Grey £3 S „ Superior £4 W „ White £4 Z „ Zins Each additional mark means a rise in the price, but it must be understood that it is quite possible for a quality denoted by two letters to be more valuable than one indicated by three or more, since every mark has not the same value.

Of the Greek there are three forms. One is in the Vatican and Alexandrian MSS.; another is in the Sinaitic. Both these texts are to be found in Swete's Septuagint, the former denoted by B, and the latter by B is the common text, which is followed in the English Apocrypha.

Derived from the verb ma, " to stretch out," her name denoted the ideas of right and rule, and covered the notions of order, law, justice and truth, which remained steadfast and unalterable.

Let this potential be denoted by V, and let v be the potential of the guard plate and the aluminium flap. This last potential is maintained constant by guard plate and flap being part of the interior coating of a charged Leyden jar.

Their numerators are denoted by Pi, P2, their denominators by q,, q2, q3, We have the relations p n = an pn-1 +bn pn-2, qn = angn-1 +bngn-2.

The name Pahlavan, moreover, which denoted the Parthian magnates, passed over into the new empire.

How far it had any similar use in Judaism in Christ's day is uncertain; but in the 4th century A.D., at any rate, it denoted responsible envoys from the central Jewish authority, especially for the collection of religious funds.

But the altered name of Lombard also denoted henceforth some of the proudest of Italians; and, though the Lombard speech had utterly perished their most common names still kept up the remembrance that their fathers had come from beyond the Alps.

It denoted the church which included the patriarchates of Antioch, Alexandria, Jerusalem and Constantinople, and their dependencies.

The alchemists named it Luna or Diana, and denoted it by the crescent moon; the first name has survived in lunar caustic, silver nitrate.

The already existing worship of Athena Hygieia had nothing to do with Hygieia the goddess of health, but merely denoted the recognition of the power of healing as one of the attributes of Athena, which gradually became crystallized into a concrete personality.

Under one system, for instance, the continued sum 5 + X 5 + 8 X 7 X 5 would be denoted 7 by 8 I 5; this is somewhat similar in principle to a decimal notation, but with digits taken in the reverse order.

The number denoted by N will therefore be such that 11 X N X N = N = N; i.e.

Other units are derived from these by multiplication or division by powers of io, the names being denoted by prefixes.

As regards moral sentiments generally, the view suggested by Mill is more definitely given by the chief living representative of the associationist school, Alexander Bain; by whom the distinctive characteristics of conscience are traced to " education under government or authority," though prudence, disinterested sympathy and other emotions combine to swell the mass of feeling vaguely denoted by the term moral.

A second name of the city, which perhaps originally denoted a separate village or quarter, was Su-anna, and in later inscriptions it is often represented ideographically by E-ki, the pronunciation and meaning of which are uncertain.

Ka-dimirra, the Semitic Bab-ili, probably denoted at first E-Saggila, "the house of the lofty head," the temple dedicated to Bel-Merodach, along with its immediate surroundings.

That some method of casting lots is denoted by the terms is evident from 1 Sam.

The civilized men of the Mythopoeic age were not obliged, as Max Muller held, to believe that all phenomena were persons, because the words which denoted the phenomena had genderterminations.

This ratio is termed the eccentricity, and will be denoted by e.

The semi-major axis is generally denoted by a, and the semiminor axis by b, and we have the relation b 2 =a 2 (1 - e 2).

The palatalization of d+ consonant i into some sound denoted merely by i - the central sound of foied, from fo-died; 4.

Fleeting matter to their mind was not worthy to embody or reflect heavenly supersensuous energies denoted by the names of Christ and the saints.

The current setting for each option is denoted by an asterisk.

The sequence of diagrams above shows the stable set, denoted by the blue curve, undergoing a type-2 contact bifurcation.

The first bifurcation of the vertically upward position is a " reverse " subcritical pitchfork bifurcation denoted by PF2.

Matter was not worthy to embody or reflect spiritual entities denoted by the names of Christ and the saints.

All sizes are quoted in cm or inches and are clearly denoted by each applicable product. i. Jewelry items.

Fish farms are represented by the filled rectangular block, with the areas of impacted seabed denoted by the filled ellipses.

An asterisk denoted that the green banana fritters were vegan - really weird.

The parameter is usually denoted by l the Greek letter lambda.

Soil K index 2 is divided into a lower and an upper half denoted by minus and plus signs.

This analysis focuses on networks that serve the operations officers, denoted the Ops desks or ops nets.

The golden section is normally denoted by the Greek letter phi.

An inverted term is also denoted by a line drawn above the term, usually pronounced ' bar ' .

These should be numbered 1, 2, 3, consecutively in the text and denoted by superscripts.

The mean of and a_ is usually denoted by a± or simply by a, while q is employed for the ratio a_/a+.

The Latin noun limes denoted generally a path, sometimes a boundary path (possibly its original sense) or boundary, and hence it was utilized by Latin writers occasionally to denote frontiers definitely delimited and marked in some distinct fashion.

By unity Boole denoted the universe of thinkable objects; literal symbols, such as x, y, z, v, u, &c., were used with the elective meaning attaching to common adjectives and substantives.

Now, if m represent the mass of the body in grammes its weight will be mg dynes, for it will require a force of mg dynes to produce in it the acceleration denoted by g.

Combined in the phrase "populus Romanus Quirites (or Quiritium)" it denoted the individual citizen as contrasted with the community.

A great advance was made by Dalton, who, besides introducing simpler symbols, regarded the symbol as representing not only the element or compound but also one atom of that element or compound; in other words, his symbol denoted equivalent weights.4 This system, which permitted the correct representation of molecular composition, was adopted by Berzelius in 1814, who, having replaced the geometric signs of Dalton by the initial letter (or letters) of the Latin names of the elements, represented a compound by placing a plus sign between the symbols of its components, and the number of atoms of each component (except in the case of only one atom) by placing Arabic numerals before the symbols; for example, copper oxide was Cu +0, sulphur trioxide S+30.

If twelve grammes of amorphous carbon be burnt to carbon dioxide under constant volume, the heat evolved (96.96 cal.) does not measure the entire thermal effect, but the difference between this and the heat required to break down the carbon molecule into atoms. If the number of atoms in the carbon molecule be denoted by n, and the heat required to split off each atom from the molecule by d, then the total heat required to break down a carbon molecule completely into atoms is nd.

The field-strength at any point is also called the magnetic force at that point; it is denoted by H, or, when it is desired to draw attention to the fact that it is a vector quantity, by the block letter H, or the German character, C. Magnetic force is sometimes, and perhaps more suitably, termed magnetic intensity; it corresponds to the intensity of gravity g in the theory of heavy bodies (see Maxwell, Electricity and Magnetism, § 12 and § 68, footnote).

The curve showing the circumferential (or longitudinal) changes was also plotted, and from the two curves thus obtained it was easy, on the assumption that the metal was isotropic in directions at right angles to the magnetization, to calculate changes of volume; for if circumferential elongation be denoted by 1 1, and transverse elongation by 1 2, then the cubical dilatation (40r -) = l l 2/ 2 approximately.

The deficiencies of the Greek symbolism were partially remedied; subtraction was denoted by placing a dot over the subtrahend; multiplication, by placing bha (an abbreviation of bhavita, the product ") after the factors; division, by placing the divisor under the dividend; and square root, by inserting ka (an abbreviation of karana, irrational) before the quantity.

In the Septuagint column he drew attention to those passages for which there was no Hebrew equivalent by prefixing an obelus; but where the Septuagint had nothing corresponding to the Hebrew text he supplied the omissions, chiefly but not entirely from the translation of Theodotion, placing an asterisk at the beginning of the interpolation; the close of the passage to which the obelus or the asterisk was prefixed was denoted by the metobelus.

It thus denoted the whole country from the Tiber to the mouth of the Savo, and just included the Mons Massicus, though the boundary was not very precisely fixed (see below).

The same Chrysippus fixed upon a certain characteristic of true presentations, which he denoted by the much disputed term " apprehensive " (KaTaX717rTLK7 4avraQEa).

The second of the three systems was the sexagesimal system, with numerals denoted by letters of the Arabic alphabet.

Generally, these foundations are denoted with hue suggestions.

Also on the left side is the left trigger button (usually denoted as "L") and this is activated with your left index finger.

Braids often denoted warriors in Africa and Native Americans in the Plains wore long braids adorned with feathers.

The original slash pairing was Kirk and Spock, denoted Kirk/Spock or K/S.

Ranks were denoted using the epaulets, with stripes and chevrons showing the various ranks.

A shake of Howie's head denoted no strange encounters of the weird kind.

The percentage of the charge which is dissipated per minute is usually denoted by a + or a_ according to its sign.

The radioactivity is denoted by A, and A = signifies that the potential of the dissipation apparatus fell I volt in an hour per metre of wire introduced.

Nevertheless, though the conceptions originally denoted by " evolution " and " development " were shown to be untenable, the words retained their application to the process by which the embryos of living beings gradually make their appearance; and the terms" development," " Entwickelung,"and " evolutio " are now indiscriminately used for the series of genetic changes exhibited by living beings, by writers who would emphatically deny that " development " or " Entwickelung " or " evolutio," in the sense in which these words were usually employed by Bonnet or Haller, ever occurs.

Sebaoth, or " hosts," attached to the name of Yahweh, denoted the heavenly retinue of stars.

As really denoted any integer or whole; whence the English word "ace."

A doubly linked pair of atoms is denoted by the sign A with the index corresponding to the side; if there are two pairs of double links, then indices corresponding to both sides are employed.

The chief of these ministers is denoted 6 E7rl r&o' 7r pay µarwv, and he corresponds to the vizier of the later East.

Every symmetric function denoted by partitions, not involving the figure unity (say a non-unitary symmetric function), which remains unchanged by any increase of n, is also a seminvariant, and we may take if we please another fundamental system, viz.