Separating Sentence Examples

The road ran parallel to the highway, with the Uncompahgre River separating the unpaved road from the main thoroughfare to the east.

She sucked in a breath and moved away, flinching as he pushed over the chair separating them.

Separating might increase the risks for some, but it would reduce the risk of everyone being captured.

They have made this observation the basis of a practical method of separating helium from the other inert gases.

The common wall separating the pits of the two adjoining cells is pierced by strands of protoplasm.

The type of siphonostele characteristic of many ferns, in which are found internal phloem, and an internal endodermis separating the vascular conjunctive from the pith is known as a solenostele.

The formation of the conducting tubes or secretory sacs which occur in all parts of the higher plants is due either to the elongation of single cells or to the fusion of cells together in rows by the absorption of the cell-walls separating them.

In the triple partition of the Carolingian empire at Verdun in 843, the central portion was assigned to the emperor Lothaire, separating the kingdoms of East Francia (the later The duchy Germany) from West Francia (the later France).

The depression separating the two lower lobes from the lobus caudatus, and known as the porta hepatis, was appropriately designated as the "crucible" of the liver.

He takes the line of separating the things of God from those of Caesar, and defends the traditional Protestant theology with obvious sincerity.

The latter are often swollen at the ends, so that the cross-wall separating two successive cells has a larger surface than if the cells were of uniform width along their entire length.

The whole of the middle lamella or originally formed cell-wall separating one from another disappears before the adult state is reached, so that the walls of the hydroids consist of a framework of lignified bars, with open communication between the cell cavities.

In some cases (Allium, Convolvulaceae, &c.) rows of cells with latex-like contents occur, but the walls separating the individual cells do not break down.

Their finances were indeed excellent; they kept regular accounts, and had already developed the modern principle of separating the civil list from the expenses of the government; but when they brought the tables of moneychangers into the temple, they were doing as the Templars had done before them, and were likely to suffer as the Templars had suffered.

America down to the slopes of Chimborazo; the Cordilleras of the Andes separating the Castilloas from the Heveas of Brazil.

Between the two and at the highest point of the arc, so far as morphological differentiation is concerned, stands the scorpion; near to it in the trilobite's direction (that is, on the ascending side) are Limulus and the Eurypterines - with a long gap, due to obliteration of the record, separating them from the trilobite.

Mandioca was cultivated by the natives before the discovery of America, and the wide area over which it has been distributed warrants the conclusion that the discovery of its value as a food and the means of separating its poisonous properties must have occurred at a very remote period.

Abelard also perceived that Realism, by separating the universal substance from the forms which individualize it, makes the universal indifferent to these forms, and leads directly to the doctrine of the identity of all beings in one universal substance or matter - a pantheism which might take either an Averroistic or a Spinozistic form.

From Manchuria and China it is separated by the border ridge of the plateau - the Great Khingan, while in the south-west it runs up to the foot of the high northern border ridges of the Tibetan plateau - an artificial frontier separating it from east Turkestan and Dzungaria.

The actual finiteness of A imposes a limit upon the separating or resolving power of an optical instrument.

In different gratings the lengths of the spectra and their distances from the axis were inversely proportional to the grating interval, while with a given grating the distances of the various spectra from the axis were as i, 2, 3, &c. To Fraunhofer we owe the first accurate measurements of wave-lengths, and the method of separating the overlapping spectra by a prism dispersing in the perpendicular direction.

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.

Throughout his life he paid great attention to the "rare earths" and the problem of separating and distinguishing them; in 1878 he extracted ytterbia from what was supposed to be pure erbia, and two years later found gadolinia and samaria in the samarskite earths.

The southwest monsoon which brings rain in Cochin-China coincides with the dry season in Annam, the reason probably being that the mountains and lofty plateaus separating the two countries retain the precipitation.

The Sierra Madre crosses the southern part of the state parallel with the coast, separating the low, humid, forested districts on the frontier of Tabasco from the hot, drier, coastal plain on the Pacific. The mountain region includes a plateau of great fertility and temperate climate, which is one of the best parts of Mexico and contains the larger part of the population of the state.

The ceramic history of Babylonia and Assyria has unfortunately not yet been traced; at Susa alone has the care demanded by the modern methods of archaeology been as yet expended on examining and separating the pottery found in the excavations, and Susa is not Babylonia.

The curing or preparation of the crystals for the market by separating the molasses from them.

The difficulty in separating zinc blende from iron pyrites is well known, and probably the most elaborate ore-dressing works ever built have been designed with this end in view.

The Wetherill system of magnetic concentration has been remarkably successful in separating the minerals contained in the well-known deposit in Sussex (disambiguation)|Sussex county, N.J.

In operation the coulter makes a perpendicular cut separating the furrow-slice which is divided from the "sole" of the furrow Crested Furrow.

The berries are dried in the sun and sent down to Hodeda or Aden, where they are subjected to a process for separating the husk from the bean; the result is about 50% of cleaned berries, bun safe, which is exported, and a residue of husk or kishr, from which the Yemenis make their favourite beverage.

Later critics, judging from their own notions of the natural course of development in art, ascribed to Daedalus such improvements as separating the legs.

In fact, the country between the Matmata highlands and the strait separating Jerba from the mainland is singularly African in the character and aspect of its flora.

It then continues northward, separating the basins of the Maranon and Huallaga; and at the northern frontier of Peru it is at length broken through by the Maranon flowing eastward.

There is good anchorage throughout the entire channel separating the island from the mainland, except in the Ly-ee-mun Pass, where the water is deep; the best anchorage is in Hong-Kong roads, in front of Victoria, where, over good holding ground, the depth is 5 to 9 fathoms. The inner anchorage of Victoria Bay, about a m.

The east coast, from Cape Shiriya (Shiriyazaki) in the north, to Cape Inuboye (Inuboes4ki) near Tokyo Bay, though abounding in small indentations, has only two large bays, those of Sendai and Matsushima; but southward from Tokyo Bay to Cape Satta (Satanomisaki) in KiOshi there are many capacious inlets which offer excellent anchorage, as the Gulf of Sagami (Sagaminada), the Bays of Suruga (Surugawan), lie (Isenumi) and Osaka, the Ku Channel, the Gulf of Tosa (Tosonada), &c., Opening into both the Pacific and the Sea of Japan and separating Shikoku and KiQshi from the main island as well as from each other, is the celebrated Inland Sea, one of the most picturesque sheets of water in the world.

Farther south, in the province of Kai (KOshiu), and separating two great rivers, the Fuji-kawa and the Tenriu-gawa, there lies a range of hills with peaks second only to those of the Japanese Alps spoken of above.

The threads extend only to the outlines of each figure, and it follows that every part of the pattern has a rim of minute holes like pierced lines separating postage stamps in a sheet, the effect being that the design seems to hang suspended it1 the groundlinked into it, as the Japanese term implies.i A specimen of this nature recently manufactured by Kawashimas weavers measured 20 ft.

The main anatomical justification of this sub-family is given by the postfrontal bones, which, besides bordering the orbits posteriorly, are extended forwards so as to form the upper border of the orbits, separating the latter from the frontals.

If the dielectric or separating insulator has a constant K, then the capacity becomes K times as great.

But the comparative study of religions has suggested the lines of reconstitution and the careful analysis of survivals embedded in literature and the evidence of monumental remains, and in particular of the old calendars, has enabled modern scholars to make good progress in the task of separating the elements due to different periods and influences.

With regard to the history of the metallurgy of gold, it may be mentioned that, according to Pliny, mercury was employed in his time both as a means of separating the precious metals and for the purposes of gilding.

This method of separating gold from copper, by converting the latter into oxide and sulphate, is also used at Oker in the Harz.

Refining by sulphuric acid, the process usually adopted for separating gold from silver, was first employed on the large scale by d'Arcet in Paris in 1802, and was introduced into the Mint refinery, London, by Mathison in 1829.

The solution may be directly precipitated with copper, the copper passing into solution as copper sulphate, and the silver separating as a mud, termed " cement silvers" Or the silver sulphate may be separated from the solution by cooling and dilution, and then mixed with iron clippings, the interaction being accompanied with a considerable evolution of heat.

By successive trials two beads, of known density, say di, d 2, are obtained, one of which floats above, and the other below, the test crystal; the distances separating the beads from the crystal are determined by means of a scale placed behind the tube.

A protracted boundary dispute with Maryland, which colony at first claimed the whole of Delaware under Lord Baltimore's charter, was not settled until 1767, when the present line separating Delaware and Maryland was adopted.

By heating with sodium amalgam and separating with hydrochloric acid, the dichloride, TaC1 2.2H 2 O, is obtained as emerald green hexagonal crystals.

Towards the continent there is a broad shelf, and just before the chain of islands separating them from the ocean runs a narrow and deep trough.

A minute fraction is always separating out of the water, and as a prodigious length of time may be accepted for the accomplishment of all the chemical and physical processes in the deep sea, we must take account of the gradual accumulation of even this infinitesimal precipitation.

It occupies the northern slopes of a range of hills separating it from Preanger, and has a fertile soil.

The boundary on the east, separating it from British New Guinea and German New Guinea, was finally settled in 1895.

Attempts to estimate the width of the gulf separating the Church of England in Elizabeth's time from the corresponding institution as it existed in the early years of her father's reign are likely to be gravely affected by personal bias.

For separating liquids from solids of a fibrous or crystalline character "hydroextractors" or "centrifugals" are frequently employed.

Had Napoleon attempted this he would (if successful) have driven the Anglo-Dutch army back upon the Prussians, instead of separating the allies, as he actually tried to do and very nearly succeeded in doing.

The lateness of the hour at which the attack was delivered, and the emperor's determination to break Wellington's centre instead of outflanking the Anglo-Dutch left and further separating the allies, deprived him of whatever chance he still possessed of beating Wellington before Blucher could intervene.

The half-mile of foreshore separating the port from the lagoon was in1904-1907pierced by a canal, but the canal silted up as soon as cut, and in 1908 the French decided to make Grand Bassam the chief port of the colony.

Nearly the entire course of the Weser lies in Prussia, but it also touches part of Brunswick and Lippe, and after flowing through Bremen expands into an estuary separating the duchy of Oldenburg from the Prussian province of Hanover.

Shortly after 1846, the British began to assert that the Rosario Strait and not Haro Strait (as the Americans held) was the channel separating the mainland and Vancouver Island, thus claiming the Haro Archipelago of which San Juan was the principal island.

When a wave of sound meets a surface separating two media it is in part reflected, travelling back from the surface into the first medium again with the velocity with which it approached.

It further follows, as in the analogous case of light, that there is a certain angle termed the critical angle, whose sine is found by dividing the less by the greater velocity, such that all rays of sound meeting the surface separating two different bodies will not pass onward, but suffer total reflection back into the first body, if the.

No natural boundary marks the western frontier, a line across the veld (separating it from the Griqualand West district of the Cape) from the Orange to the Vaal rivers.

The so-called Island Magee is a peninsula separating Larne Lough from the Irish Channel.

From St George 's Channel at the south, separating it from New Pomerania, it sweeps north and then north-west, being divided from New Hanover at the other extremity by Byron Strait.

There was, for instance, Mendovg (1240-1263), who submitted to baptism for purely political reasons, checkmated the Teutonic Knights by adroitly seeking the protection of the Holy See, and annexed the principality of Plock to his ever-widening grand duchy, which already included Black Russia, and formed a huge wedge extending southwards from Courland, thus separating Poland from Russia.

Virginia, separating the two hostile capitals, Richmond and Washington, was the theatre of the great campaigns of the east, where the flower of both armies fought.

The expansion of the Talmudic twenty-four to the thirty-nine Old Testament books of the English Bible is effected by reckoning the Minor Prophets one by one, by separating Ezra from Nehemiah, and by subdividing the long books of Samuel, Kings and Chronicles.

The other principal river, the Aisne, crosses the southern border and takes a northerly, then a westerly course, separating the region known as Champagne Pouilleuse from the more elevated plateau of Argonne which forms the central zone of the department and stretches to the left bank of the Meuse.

The boundary with British Honduras was determined by a treaty of 1893 and is formed in great part by the Hondo river down to the head of Chetumal Bay, and thence through that bay to the Boca Bacalar Chicathe channel separating Yucatan from Ambergris Cay.

The documents written by natives in later times thus more or less represent real records of the past, but the task of separating myth from history is of the utmost difficulty.

Separating Franconia and Pemigewasset ranges is the romantic Franconia Notch, overlooking which from the upper cliffs of Profile Mountain is a remarkable human profile, The Great Stone Face, immortalized by Nathaniel Hawthorne; here, too, is the Franconia Flume, a narrow upright fissure, 60 ft.

The line separating the two phases of the system is a little east of the 1 ooth meridian.

Separating from the total population of the country in 1900 the non-Caucasians (9,185,379), all white persons having both parents foreign (20,803,800), and one-half (2,541,365) of the number of persons having only one parent foreign, the remaining 43,555,250 native inhabitants comprised the descendants of the Americans of 1790, plus those of the few inhabitants of annexed territories, plus those in the third and higher generations of the foreigners who entered the country after 1790 (or for practical purposes, after 1800).

Advancing eastwards, we have before us the wall separating the FIG.

A prevailingly French type of government was now no longer adequate in Canada, and in 1791 was passed by the British parliament the Constitutional Act, separating Canada at the Ottawa river into two parts, each with its own government; Lower Canada, chiefly French, retaining the old system of laws, with representative institutions now added, and Upper Canada, on the purely British model.

Industrial and boarding schools, established in several of the provinces, by separating the children from the degrading influences of their home life, have proved more effectual than day schools for training them in the habits and ideas of a higher civilization.

He rejected the Platonic hypothesis of forms, and affirmed that they are not separate but common, without however as yet having advanced to a constructive metaphysics of his own; while at the same time, after having at first adopted his master's dialectical treatment of metaphysical problems, he soon passed from dialogues to didactic works,, which had the result of separating metaphysics from dialectic. The all-important consequence of this first departure from Platonism was that Aristotle became and remained primarily a metaphysician.

From Noshapzaki (Notsu-no-sake or Notsu Cape), the most easterly point of Nemuro province, to Tomari, the most westerly point in Kunashiri, the distance is 71m., and the Kuriles Strait separating Shumshiri from Kamchatka is about the same width.

By the law of Hanover a woman could not ascend the throne, and accordingly Ernest Augustus, duke of Cumberland, the fifth son of George III., and not Victoria, succeeded William as sovereign in 1837, thus separating the crowns of Great Britain and Hanover after a union of 123 years.

These bobbins are then in general taken to the first spinning frame, and there the single strands receive their first twist, which rounds them, and prevents the compound fibre from splitting up and separating when, by the subsequent scouring operations, the gum is removed which presently binds them into one.

South of the Kurram is the Tochi valley, separating it from Waziristan, an isolated mountainous district bounded on the south by the Gomal and the gorges that lead to the Wana plain.

He was offered by the senate of the theological faculty of Halle the alternative of doing penance before God, submitting to his superiors, and separating himself from Zinzendorf, or leaving the matter to the decision of the king, unless he preferred to "leave Halle quietly."

About 1850 Thomas Graham published his famous experiments on diffusion, both with and without a separating membrane.

The first to make systematic experiments on the free diffusion of dissolved substances with no separating membrane was Thomas Graham (1804-1869), who immersed in a large volume of water a wide-mouthed bottle containing a solution, and after some time measured the quantity of substance which had diffused into the water.

The shallow strait separating it from the mainland is liable to be blocked by sand-banks; a canal was cut through these in the 7th century B.C. by the Corinthians, and was again after a long period of disuse opened up by the Romans.

Next comes a belt of fertile plateaus bounded on the east by the Little Khingan, or Dusse-alin, a picturesque well-wooded range, which stretches in a north-easterly direction from Kirin across Manchuria, is pierced by the Amur, and continues on its left bank, separating the Bureya from the Amgun.

Delage has distinguished as multiplication those cases in which the new individual arises from a mass of cells which remain a part of the maternal tissues during differentiation, reserving the term reproduction for those cases in which the spore or cell which is the starting-point of the new individual begins by separating from the maternal tissues; but the distinction is inconvenient in practice and does not appear to carry with it any fundamental biological significance.

The point separating the integers from the decimal fractions seems to be the invention of Bartholomaeus Pitiscus, in whose trigonometrical tables (1612) it occurs and it was accepted by John Napier in his logarithmic papers (1614 and 1619).

Such gums are formed abundantly in pycnidia, and, absorbing water, swell and carry out the spores in long tendrils, which emerge for days and dry as they reach the air, the glued spores gradually being set free by rain, wind, &c. In oidial chains (Sclerotinia) a minute double wedge of wall-substance arises in the middle lamella between each pair of contiguous oidia, and by its enlargement splits the separating lamella.

A problem to which he returned repeatedly was that of separating nickel and cobalt from their ores and freeing them from arsenic; and in the course of his long laboratory practice he worked out numerous processes for the preparation of pure chemicals and methods of exact analysis.

The main artery is the Gothersgade, running from Kongens Nytor y to the western boulevards, and separating a district of regular thoroughfares and rectangular blocks to the north from one of irregular, narrow and picturesque streets to the south.

The Memel flows along the north-east frontier of Poland, from Grodno to Yurburg, separating it from Lithuania.

It bears a strong resemblance to a Dutch town, for the houses are built in the style of those of Amsterdam, and the narrow channel separating it from its western suburb of Overzijde and the waters of the Waigat, which intersect it, recall the canals.

In some Australian acacias, and in some species of Oxalis and Bupleurum, the petiole is flattened in a vertical direction, the vascular bundles separating immediately after quitting the stem and running nearly parallel from base to apex.

He was the one English thinker of the first rank in the long period of two generations separating Locke from Bacon, but, save in the chronological sense, there is no true relation of succession among the three.

Bonifacio, which overlooks the straits of that name separating Corsica from Sardinia, occupies a remarkable situation on the summit of a peninsula of white calcareous rock, extending parallel to the coast and enclosing a narrow and secure harbour.

The lam separating them from the Mediterranean is nowhere more than 10 meters wide.

In the larger of the two great groups into which the Angiosperms are divided, the Dicotyledons, the bundles in the very young stem are arranged in an open ring, separating a central pith from an outer cortex.

In each bundle, separating the xylem and phloem, is a layer of meristem or active formative tissue, known as cambium; by the formation of a layer of cambium between the bundles (interfascicular cambium) a complete ring is formed, and a regular periodical increase in thickness results from it by the development of xylem on the inside and phloem on the outside.

The gametophyte or prothallial generation is thus extremely reduced, consisting of but little more than the male and female sexual cells - the two sperm-cells in the pollen-tube and the egg-cell (with the synergidae) in the embryo-sac. At the period of fertilization the embryo-sac lies in close proximity tube has penetrated, the separating cell-wall becomes absorbed, and the male or sperm-cells are ejected into the embryosac. Guided by the synergidae one male-cell passes into the oosphere with which it fuses, the two nuclei uniting, while the other fuses with the definitive nucleus, or, as it is also called, the endosperm nucleus.

The principal river is the Coleroon which forms the southern boundary of the district, separating it from Trichinopoly.

This arrangement has the disadvantage of separating the deer from the giraffes, to which they are evidently nearly related; but Dr Gadow's work brings them more into line.

It is connected with that river by the Bahr Yusuf, which reaches the oasis through a gap in the hills separating the province from the Nile Valley.

Their continuity, however, is interrupted by numerous valleys separating them into detached flat-topped hills, which are comparatively seldom marked by precipices of naked rock.

In 1679 the explorer La Salle, desiring to find the mouth of the Mississippi and to extend the domain of France in America, ascended the St Joseph river, crossed the portage separating it from the Kankakee, which he descended to the Illinois, and built in the neighbourhood of Lake Peoria a fort which he called Fort Crevecceur.

It is an alpine region, particularly in its south portion, where rises the Alpstein limestone range (culminating in the Santis, 8216 ft.), though towards the north the surface is composed rather of green hills, separating green hollows in which nestle neat villages and small towns.

One of these routes follows the Balkh river to its head from Tashkurghan, and then, preserving a high general level of 8000 to 9000 ft., it passes over the water-divides separating the upper tributaries of the Kunduz river, and drops into the valley formed by another tributary at Bamian.

At the foot of the great mountain barrier, and separating it from the more ancient land which now forms the highlands of the peninsula, a broad plain, for the most part alluvial, stretches from sea to sea.

The harbour is formed by the widening of the strait separating the island from the mainland, which is nearly 2 m.

When evolution to that which is taking place in double stars; the latter appear to be separating from a single original mass and the former condensing into one.

It is used by both Protestants and Roman Catholics, an iron screen separating the parts assigned to each.

Portsmouth Harbour opens into Spithead, one of the arms of the Channel separating the Isle of Wight from the mainland.

The points of contact form a line on the opaque body separating the illuminated from the non-illuminated portion of its surface.

The irregular flowers have five sepals united at the base, the dorsal one produced into a spurred development of the axis; of the five petals the two upper are slightly different and stand rather apart from the lower three; the eight stamens are unequal and the pistil consists of three carpels which form a fleshy fruit separating into three one-seeded portions.

The catkin falls off entire, separating from the branch by an articulation.

Sunda Strait is the channel separating Sumatra from Java and uniting the Indian Ocean with the Java Sea.

The explanation of the apparent bounding of Christianity by Europe and its offspring is not, however, to be found in any psychological peculiarity separating the European races from those of other continents, nor in any special characteristic of Christianity which fits it for European soil.

In part it shared the destiny of the Roman empire, and with it fell into two parts, East separating from West.

The principal mountain chains are the Guadarrama, separating this province from Madrid; the Paramera and Sierra de Avila, west of the Guadarrama; and the vast wall of the Sierra de Gredos along the southern frontier, where its outstanding peaks rise to 6000 or even 8000 ft.

Racking consists merely in separating the bright wine from the deposit.

He was at the head of the curia regis, which was separating itself into the three historical courts of common law about the time when the justiciarship was falling from the supreme place.

This thirst must be extinguished by complete annihilation of desire, by letting it go, expelling it, separating oneself from it, giving it no room.

The best rippler, or apparatus for separating the seed capsules from the branches, consists of a kind of comb having, set in a wooden frame, iron teeth made of round-rod iron i ths of an inch asunder at the bottom, and half an inch at the top, and 18 in.

The chief inlets are the mouth of the Dee, dividing Flint from Cheshire; the Menai Straits, separating Anglesea from the mainland; Carnarvon Bay; Cardigan Bay, stretching from Braich-y-Pwll to St Davids Head; St Brides Bay; Milford Haven; Carmarthen Bay; and Swansea Bay.

Molten copper absorbs carbon monoxide, hydrogen and sulphur dioxide; it also appears to decompose hydrocarbons (methane, ethane), absorbing the hydrogen and the carbon separating out.

All the evidence before Sir George, and the study he made of the Boer character, convinced him that the barriers separating the various white communities were largely artificial.

North of the Mondego it includes Montemuro (4534 ft.), separating the Douro from the upper waters of its left-hand tributary the Paiva; Gralheira (3681 ft.) between the Paiva and the Vouga; the Serra do Caramullo (35 11 ft.), between the Vouga and the Dao; and the Serra da Lapa (3215 ft.), which gives rise to the Paiva, Tavora, Vouga and ado.

Lesser ranges, which are included in the Beirene system and vary in height from 2000 to 4000 ft., are the Mesas, between the rivers Coa and Zezere; the Guardunha and Moradal, separating the Zezere from the Ponsul and Ocreza, tributaries of the Tagus; the Serra do Aire, and various ridges which stretch south-westward as far as the mountains of Cintra (q.v.).

The tension of the surface separating two liquids which do not mix cannot be deduced by any known method from the tensions of the surfaces of the liquids when separately in contact with air.

This drop will not spread out like the first drop, but will take the form of a flat lens with a distinct circular edge, showing that the surface-tension of what is still apparently pure water is now less than the sum of the tensions of the surfaces separating oil from air and water.

Separating the plateau from the mountain region is an abrupt 'transition slope, often deeply eroded, crossing the entire state as has been indicated.

When, however, several species are present together, means must be adopted for separating them.

After slavery had fallen Phillips associated himself freely with reformers occupied in other paths, herein separating himself from the other patrician of the movement, Edmund Quincy, who always frankly said that after slavery was abolished there was nothing else worth fighting for.

The scorifier is taken from the muffle in a pair of tongs and the contents poured into a mould, the lead forming a button in the bottom while the slag floats on top. When cold, the contents of the mould are taken out and the lead button hammered into the form of a cube, the slag, which is glassy and brittle, separating readily from the metal, which is then ready for cupellation.

Externally the nitrate has a caustic action, destroying the superficial tissues and separating the part acted on as a slough.

In 1845 Marx wrote of the Young-Hegelians that to separate history from natural science and industry was like separating the soul from the body, and "finding the birthplace of history, not in the gross material production on earth, but in the misty cloud formation of heaven" (Die heilige Familie, p. 238).

The wide estuary of the sea separating it from the mainland, through which ships sailed from the English Channel into the Thames, using it as the shortest route from the south to London, has entirely disappeared, leaving only a flat lowland traversed by branches of the river Stour to mark its former existence.

In the north-west a tongue of the Red rocks forms the Eden valley, separating the Lake District from the Pennine Chain, with Carlisle as its central town.

The king's army was grouped in front of the village, facing in the direction of Milan, with a small stream separating it from the oncoming Swiss.

In the sugar-cane (Saccharum) and several allied genera the separating joints of the axis bear long hairs below the spikelets; in others, as in Arundo (a reed-grass), the flowering glumes are enveloped in long hairs.

The discovery by the Japanese botanist 'Erase of the development of ciliated spermatozoids in the pollen-tube of Ginkgo, in place of the non-motile male cells of typical conifers, served as a cogent argument in favour of separating the genus from the Coniferales and placing it in a class of its own.

Downing Street, separating these from the Treasury, contains the official residences of the First Lord of the Treasury and the Chancellor of the Exchequer.

The egg of the pilchard is very easily distinguished from other pelagic eggs by the unusually large space separating the vitelline membrane from the contained ovum.

The water-parting is the line bounding such an area and separating it from other watersheds.

By this instrument the northern boundary of Oregon was fixed at the fortyninth parallel, extending westward from the crest of the Rocky Mountains to the middle of the channel separating Vancouver's Island from the mainland, "and thence southerly through the middle of the said channel, and of Fuca's Straits, to the Pacific Ocean."

It is divided longitudinally by a partition separating a so-called" ventral "or prorachidial canal from a so-called" dorsal "or metarachidial canal.

Leaving Sind, and passing by the ridges of low sandhills, - the leading feature of the desert east of the Indus, - and the isolated hills of Cutch and Kathiawar, which form geologically the western extremity of the Aravalli range, the first extensive mountain range is that separating Gujarat from the states of central India.

Eric (= reparation, redemption) was the fine for "separating body from soul"; but the term was used in lighter cases also.

The strait separating it from Celebes is more than ioo fathoms deep and, running in a strong current, is dangerous for native ships to navigate.

He even took the hazardous step of separating ecclesiastical courts and lay courts, giving the church leave to establish separate tribunals of her own, a right which she had never possessed in Saxon England.

The queen shrank from separating herself from ladies who had question, surrounded her since she came to the throne, and Sir Robert thereupon declined the task of forming a ministry.

It may be remarked that this is a limit separating the two cases where the intersections are all real, and where they are one real, two imaginary.

Each singular kind presents itself as a limit separating two kinds of inferior singularity; the cuspidal separates the crunodal and the acnodal, and these last separate from each other the complex and the simplex.

Most of the liquor arriving at the bottom, after mechanically separating the tar, is pumped back into s, but a portion is always withdrawn and worked for ammonium sulphate.

The Gotland deep may be said to extend directly into the Gulf of Finland, an arm of the Baltic, running eastwards for about 250 m., and separating Finland from Esthonia.

Their salter waters must have been originally derived from outside, and must therefore have passed over the plateau between Falster and Mecklenburg, but their horizontal extension is checked by the ridges separating the deep hollows in the Baltic from each other.

Geographically the cluster certainly belongs to the mainland, from which it is separated by Rosario Strait, generally much under 50 fathoms in depth, while Haro Strait, separating it from Vancouver Island, has depths ranging from ioo to 190 fathoms. In 1873 the islands, formerly considered part of Whatcom county, Washington, were made the separate county of San Juan.

It is situated on the Marsdiep, the channel separating the island of Texel from the mainland, and the main entrance to the Zuider Zee, and besides being the terminus of the North Holland canal from Amsterdam, it is an important naval and military station.

Chemnitz is a favourite tourist centre for excursions into the Erzgebirge, the chain of mountains separating Saxony from Bohemia.

A few years ago the wheat received from the north-west was very clean indeed, but since the new land has all been cultivated the fields are growing more weedy, with the result that the wheat brought in is becoming mixed with oats and seeds of weeds, requiring more careful separating and inspection.

South of Lake Issyk-kul, which appears to be a hollow of tectonic origin, runs the Terskei Ala-tau, separating the lake from the high valley of the Naryn.

It rises abruptly from the desert and lifts its snowy peaks to altitudes of 15,000-16,000 ft., separating the river Syr-darya from the river Zarafshan.

It breaches the mountains in a fine valley; for this island consists practically of one long range, whereas the main valleys and ranges separating them in Viti Levu radiate for the most part from a common centre.

After the stern coast of county Clare there follow the estuary of the great river Shannon, and then three large inlets striking deep into the mountains of Kerry and Cork - Dingle Bay, Kenmare river and Bantry Bay, separating the prongs of the forklike south-western projection of the island.

The local legislature was to consist of two orders sitting and voting together, but with the power of separating on the demand of either order present.

This western chain forms a secondary watershed separating the basin of the Yei, a large river, some 400 m.

The Vistula and the Oder both fall into the Baltic. The former rises in Moravia, flows first north through Austrian Silesia, then takes an easterly direction along the borders of Prussian Silesia, and afterwards a north-easterly, separating Galicia from Russian Poland, and leaving Austria not far from Sandomir.

At intervening points are still found many notable Roman remains, such as Trajan's road, a marvellous work on the right bank of the river in the rocky Kazan defile (separating the Balkans on the south from the Carpathians on the north), where a contemporary commemorative tablet is still conspicuously visible.

The river now flows south, separating Servia from Rumania down to its junction with the Timok, after which as far as Silistria, a distance of 284 m., it separates Rumania from Bulgaria.

From the bold and picturesque coast a hammer-like peninsula (285 ft.) projects, separating North Bay from South Bay, and the modern extension of the town fringes both of these.

The new king, Henry III., vacillating and vicious, and Catherine herself, eager for war as she was, had no means 01 separating the Protestants and the politiques.

His order and enumeration of the principles of being, his doctrine of the double aspect of intellect, and of the perfect beatitude which consists in the aggregation of noble minds when they are delivered from the separating barriers of individual bodies, present at least in germ the characteristic theory of Averroes.

This fact has been employed for separating waves of large wavelength, and in this way waves of length 0 .

Besides the cattle reared for field-labor and (in the northern provinces) for regular dairy farming, bulls for bull-fighting are specially reared in many parts of the country, particularly in the forests of Navarre, the mountains separating the two Castiles, the Sierra Morena, and the Serrania de Ronda in Granada, and also in separate enclosures on the islands of the Guadalquivir.

The problem of separating a possible effect produced in this way from the zodiacal light proper may seem to offer some difficulty.

The common notions of the devil as black, ill-favoured, malicious, destructive and the like, have occasioned the application of the term to certain animals (the Tasmanian devil, the devil-fish, the coot), to mechanical contrivances (for tearing up cloth or separating wool), to pungent, highly seasoned dishes, broiled or fried.

The edge which is the separating line of the horizontal and hypothenuse surfaces of the prism, lies approximately over the middle of the system, so that the rays entering through the opening in the side after having been reflected by the hypothenuse surface are concentrated through one half of the objective on to the object.

The catkin falls off in a mass, separating from the branch by an articulation.

While in the west of the Andes, from the latitude of Aconcagua, the central valley of Chile runs without any notable interruption to the south end of the continent, a valley which almost disappears to the north, leaving only some rare inflexions which are considered by Chilean geographers and geologists to be a continuation of the same valley; to the east in Argentina a longitudinal valley, perfectly characterized, runs along the eastern foot of the Cordillera, separating this from the preCordillera, which is parallel to the Cordillera de la Costa of Chile.

In general, the plain rises above the lake in a series of bold bluffs, a wide margin of swamp separating them from the water.

The black line separating these two structures is the enamel or hardest constituent of the tooth.

Aside from preserving all means-tested benefits, a personal injury trust can provide clarity in separating the compensation from other assets.

At the far end stood a fourth watertight bulkhead, separating the crew's quarters from the engine room.

The Main River flows east-west through the city, separating the north bank's skyscrapers and bustle from the south's more laid-back charms.

A single statement may be made into a compound statement by the use of separating colons.

Didn't quite work, as a bit too crispy on top, and gooey underneath, so the 2 layers separating?

Mission separating dopes have to wait episode which at sums to market.

There was another problem; George had built a wall separating Shirley House from the road and this caused problems with rainwater drainage.

The dark stonewalls separating the fields contributed to the stark scene and the dampness from the fine misty drizzle penetrated his bones.

Immediately behind the sandy foreshore there is commonly a narrow belt of dunes separating the coastal edge from the interior of the islands.

Day 2 - Separating the DNA fragments requires about 30 minutes to set up.

Introduction Polyacrylamide gels are used to analyze DNA fragments by separating such fragments according to their length.

Results on the separating capabilities of a pair of parallel hyperplanes are obtained.

But he made a great point of separating military and civil office, and established a truly independent judiciary.

At separating Medicaid to be uninsured changes from to an quot open.

Also present were features cut into the layer of sand separating the middens.

The atrioventricular node is located at the bottom of the wall separating the 2 atria.

Valleys of great depth, and some with very precipitous sides, lie round Snowdon, separating the various ridges.

Separating the male and female organs in space and time, however, is a common way of limiting self-pollination.

In the absence of any possibility of separating copies from ostensible originals, each thing, in simulation, is thus an absolute singularity.

The blocked up windows separating the ringing chamber from the church are not soundproof.

Cross disperser a low dispersion prism or grating separating the various orders of spectra typically in an echelle spectrograph.

To each his own pasturage, and the task of separating the tares from the wheat.

A thin muscular sheet separating the thorax from the abdomen.

Just a row of tiny little cones, no higher than 6 inches, separating you from oncoming traffic in the other lane.

The ventral and lateral parts of the anterior margin of the collar constitute the so-called operculum (op.), a structure which not only acts as a lower lip, but must be important in separating the food-current produced by the cilia of the tentacles from the external apertures of the collar-canals and gill-slits.

Fresnel; and in subsequent years he attacked the problem of giving mathematical expression to the conditions holding for a surface separating two crystalline media, and worked out from theory the laws of double refraction in strained crystalline bodies.

Thence it runs north to Kovno, separating Poland from Russia, and at Kovno it turns west again, still dividing Poland from Russia, until it enters the Prussian province of East Prussia, through which it flows west and north-west past Tilsit for a distance of 70 m.

It dissolves readily in water and the aqueous solution decomposes on standing; a dark-brown flocculent precipitate of azulmic acid, C 4 H 5 N 5 0, separating whilst ammonium oxalate, urea and hydrocyanic acid are found in the solution.

A desert, or a belt of country left purposely without inhabitants, like the mark, marches or debatable lands of the middle ages, was once a common means of separating nations which nourished hereditary grievances.

These acids may be separated by conversion into their potassium salts, which are then fractionally crystallized, the potassium salt of the para-acid separating first.

Marchal points out the analogy of this phenomenon to the artificial polyembryony that has been induced in Echinoderm and other eggs by separating the blastomeres, and suggests that the abundant food-supply afforded by the host-larva is favourable for this multiplication of embryos, which may be, in the first instance, incited by the abnormal osmotic pressure on the egg.

Lanthanum has retained its elementary character, but recent attempts at separating it from didymia have led to the view that didymium is a mixture of two elements, praseodymium and neodymium (see Didymium).

By considerations based on the kinetic theory of gases (see Molecule) it may be shown that when no energy is utilized in separating the atoms of a molecule, this ratio is 5/3= 1.67.

The distances separating the individual orbits in each group seem to approximate to a certain order of progression, expressed in Bode's law (see Bode).

Strigops and Nestor; but he began by making two great divisions of those that he did know, separating the parrots of the Old World from the parrots of the New, and subdividing each of these divisions into various sections somewhat in accordance with the names they had received in popular language - a practice he followed on many other occasions, for it seems to have been with him a belief that there is more truth in the discrimination of the unlearned than the scientific are apt to allow.

The lam separating them from the Mediterranean is nowhere more than 10 m wide.

The council are empowered to make by-laws for fixing the number of lodgers and separating the sexes therein, promoting cleanliness and ventilation, giving of notices and taking precautions in case of any infectious disease, and generally for the well-ordering of such houses.

Again, the eastern extremity of Parnes is joined by another line of hills, which, separating from Mount Oeta, skirts the Euboic Gulf, and, after entering Attica, throws up the lofty pyramid of Pentelicus, overlooking the plain of Marathon, and then sinks towards the sea at Sunium to rise once more in the outlying islands.

Separating the two questions which were so closely connected, and despite the sensational brochure of the abb Sieys, What is the Third Estate?

Of the language spoken by the Aequi before the Roman conquest we have no record; but since the Marsi, who lived farther east, spoke in the 3rd century B.C. a dialect closely akin to Latin, and since the Hernici, their neighbours to the south-west, did the same, we have no ground for separating any of these tribes from the Latian group (see Latini).

In some Guttiferae, as Hebradendron cambogioides (the Ceylon gamboge plant), the anther opens by a lid separating from the apex (circumscissile dehiscence) .

Recommendation 31 Attention needs to be given to the effective design of systems for separating supernatant water from sludge and backwash solids.

The Hegelian ' grand narrative ' would culminate in the supersession of all mediations separating people from each other.

Funny, I find separating the two one of the biggest reasons for the torpid state of the Church today.

The Buddhist religion believes in separating oneself from the torrent of human emotions.

If there's a good 1/2-inch of material separating your foot from the outside world, you've got a quality hiking boot.

If you suspect the problem may be another pet in the household, then try separating her into a smaller area when you are away with her litter, food and water.

The act of separating from one's spouse does not legally end a couple's marriage.

A person who is considering separating from his or her spouse should consider their actions very carefully, especially if minor children are involved.

If the parents who are separating can agree, joint custody can be a workable option for people who don't want to be married anymore.

Recycling isn't just about separating your waste into different bins.

In some areas, recycling is as easy as separating recyclables from perishables.

While it does not occur in gas form, separating hydrogen from other elements, such as oxygen, makes it useful as a renewable energy source.

A list of materials that are recyclable is best created by separating the items according to how they are recycled.

Other towns recommend separating your recyclables into groups.

He decided that the wall separating his study from his dressing room was the best choice for building an alcove bed.

An accent wall can help designate an eating area, separating it from the rest of the room.

Among them is Definicils, a lengthening, separating, lash-defining tool that is as effective in the waterproof formula as the regular version.

The mascara does an incredible job of separating lashes!

Always message back and forth with a person a few times before arranging for a date and you'll have little trouble separating real women looking for a date from businesses looking to make a fast buck.

One thing separating 4for4 from other sites is that most of its content is provided by professional football reporters.

While using a psychic can be a fun experience, there are many unscrupulous businesses that are more interested in separating you from your money than revealing truths about your future.

Sometimes, chicken piccata recipes ask the cook to pound the chicken, but I have found that I get good results just by butterflying them and separating the halves.

Separating yourself from the environment and forcing your mind to give up the hold it has on stress will allow you to feel at peace (mind and body), so you can come back in a new place within yourself - free from stress.

Finally, you can point out some contrast by using different sizes of polka dots on different parts of the cake or separating the dots by color.

Their research has shown that when dieters learn to recognize the physical signs of hunger, stop denying forbidden foods, and start separating food from emotional comfort, their weight will eventually stabilize.

On October 30, 2006, she announced that she was formally separating from her husband after seven years of marriage.

Office buildings can make use of their sound proofing, separating offices and confidential conversations from one another while ensuring that the tiles' fire resistant qualities will help contain a potential fire and potentially save lives.

You can visit their Green Choices page to start separating the truth from the hype regarding natural and green product claims.

The fermentation will create a thick scum on top of the liquid, killing any pathogens and separating the seeds from their natural fluids.

In some ways the geographic relationship is similar as Napa Valley to Sonoma Valley with the Mayacamas Range separating the two.

In general, though, these themes are composed of a few key ingredients to give you that perfect personalized touch, separating your RAZR from every other skinny flip phone on the market, for example.

Lacerations. Also called tears, these are separating wounds that produce ragged edges.

An atrial septal defect (ASD) is an abnormal opening in the muscular wall separating the left and right upper chambers (atria) of the heart.

During normal development of the fetal heart, there is an opening in the wall (septum) separating the left and right upper chambers of the heart.

Different types of atrial septal defects occur, and they are classified according to where in the separating wall they are found.

When a baby is born with a hole in the septum (the wall separating the right and left sides of the heart), blood leaks from the left side of the heart to the right.

The parent's anxieties can add to the child's concerns about separating, worsening the separation anxiety.

Very often, these children show signs of anxiety, such as difficulty separating from parents, moodiness, clinging behavior, inflexibility, sleep problems, frequent tantrums and crying, and extreme shyness starting in infancy.

Dyslexic children have difficulty separating parts of words and single words within a group of words.

Like telecommuters, self-employed women may want to daycare arrangements and find strategies for separating their business and personal lives.

As of 2004 there is no published evidence showing a benefit to separating the combination MMR vaccine into three individual shots.

For example, it is commonplace for preschoolers to show some distress on meeting new people and separating from their parents during the first week or two of daycare or in a new setting.

For a classic spike look, apply a firm hold gel to wet hair, push hair out from the head as far as possible while separating the ends to create a pieced effect.

Use your fingers to style your hair, instead, carefully separating the twists for fuller curls.

Try separating the pile on the towel to see if the pattern goes all the way into the fabric depth, or if it just seems to be on the fiber tips.

It is made by separating the wax from crude mineral oil.

Areas of a candle's flame that burns blue are separating hydrogen from the gaseous wax which then becomes water vapor.

The following is in no way a complete list of all the signs of cheating, but it can help you begin the process of separating fact from fiction.

Something happened which resulted in the two of you separating.

A "bundling board" was placed vertically down the center of a bed, supposedly separating the man and woman and keeping them chaste as they spent the night togther.

Along with its $199.00 asking price, you'll also get a separate compartment for your boots- perfect for separating your clean clothes from the dirty.

The individual with this aspect would have difficulty separating the flavor and "job" of each planet.

Does he have a harder time than usual separating from you?

Family Matters provides low cost, Court-approved, online parenting classes for separating, divorcing, and remarrying families in transition.

In the end, most established paranormal research groups do an excellent job separating explainable phenomenon from authentic paranormal activity.

You can make eggs easier on your diet by separating out the yolk and cooking with egg whites only.

Separating gossip from spoilers is difficult, but so is separating gossip from wishful thinking.

In a sense, Las Vegas provides a honeymoon for the entire family, where any differences separating the families can melt under the hot summer sun in the Nevada desert.

Harder than the ones used for a pedicure, Yoga Toes cushion each and every toe, and align them by separating them from one another.

Those with short attention spans may need frequent breaks, which can be accomplished by separating lessons into a series small steps.

Using a perforated business card stock makes separating the cards simple.

You will also have a chain-1 space separating your corners from each other.

Consider separating your to-do list into two groupings.

At the end of June, Kate filed divorce papers and an announcement was made on the show that the couple was separating.

In June, 2009, the Gosselins announced on Jon and Kate Plus Eight that they were separating and filing for divorce.

Separation - Jon and Kate announced on their show that they were separating.

After Jon and Kate Gosselin announced on their show, Jon and Kate Plus 8, that they were separating, rumors and allegations began to fly.

Shortly after separating from her husband, Tamra became involved with a younger man, Eddie Judge.

This procedure attempts to level the surface of the skin by separating the acne scar from deeper tissue.

Other elements such as font colors and borders are laid out on the Pimp My Profile site as well, and by separating them out it makes it even easier to make your own selections.

However, often a part time, or even full time, employee is dedicated to separating the wheat from the chaff, and gleaning the useful information from the forum.

If the same content is used everywhere, a website is not going to be very useful in separating a particular client from other websites on the Internet.

Jessi looked at him, perplexed as to how Laurencio heard him from the ten feet separating them.

Another bank i ioo fathoms from the surface runs south from the east end of Crete, separating the Pola Deep from the depths of the Levant basin, in which a depth of 1960 fathoms was recorded near Makri on the coast of Asia Minor.

It is bounded on the north-west by Ohio, from which it is separated by the Ohio river, on the north by Pennsylvania and Maryland, the Potomac river dividing it from the latter state; on the east and south-east by Pennsylvania, Maryland and Virginia, the boundary lines in the first two cases being meridians, in the last case a very irregular line following the crest of mountain ridges in places; and on the south-west by Virginia and Kentucky, the Big Sandy river separating it from the latter state.

The Presbyterians from the Scotch Established Church combined with the American Presbyterian Church, but the separating churches of Scotland organized independent bodies.

Whether the division of the lobus dexter into two divisions - (i) lobus dexter proper and (2) lobus quadratus, as in modern anatomical nomenclature - was also assumed in Babylonian hepatoscopy, is not certain, but the groove separating the right lobe into two sections - the fossa venae umbilicalis - was recognized and distinguished by the designation of "river of the liver."

In other cases the leaf-gaps are very broad and long, the meristeles separating them being reduced to comparatively slender strands, while there is present in each gap a network of fine vascular threads, some of which run out to the leaf, while others form cross-connections between these leaf-trace strands and also with the main cauline meristeles.

The whole stele may be surrounded by a common external endodermis; sometimes there is an internal endodermis in addition, separating the bundles from the pith; while in other cases each bundle possesses a separate endodermis surrounding it.

Carteret discovered the Charlotte and Gloucester Islands, and Pitcairn Island on the 2nd of July 1767; revisited the Santa Cruz group, which was discovered by Mendafia and Quiros; and discovered the strait separating New Britain from New Ireland.

The boundaries separating it from Rio Grande do Sul, a province of Brazil, are Lake Mirim, the rivers Chuy, Jaguarao and Quarahy, and a cuchilla or low range of hills called Santa Ana.

Or it is the doctrine of unfallen man's " natural state " - a doctrine intensified in Protestantism - separating itself from the theologians' grave doctrine of sin.

When the two became united under one ruler towards the end of the 14th century they formed a broad strip of territory stretching from the Baltic to the Black Sea and separating Russia from central Europe.

The Pontotoc ridge separates the drainage system of the Mississippi from that of the Tombigbee; extending from the northeastern part of the state southward, this ridge divides in Choctaw county, the eastern branch separating the drainage basin in the Pascagoula from that of the Pearl, and the western branch separating the drainage basin of the Pearl from that of the Big Black and the Mississippi.

Herodotus, who ranks Libya as one of the chief divisions of the world, separating it from Asia, repudiates as fables the ordinary explanations assigned to the names Europe and Asia, but confesses his inability to say whence they came.

A juster view of early history is probably obtained by thinking of the countries round the Mediterranean as interacting on one another than by separating Palestine and Asia Minor as Asiatic.

The church is cruciform and the altar stands beneath the eastern lantern arch, a fine rood screen separating off the choir, which was devoted to monastic use, while the nave was kept for the parishioners, in consequence of a dispute between the vicar and the monastery in 1499.

Farther up, within the velar area, the rudiments of the cerebral nerve-ganglion ng are seen separating from the ectoderm.

The city charter was revised in 1854, and again reconstructed in important particulars by laws of 1885 separating the executive and legislative powers, and by subsequent acts.

This comprises separating the fibre or lint from the seeds, the operation being known as " ginning."

Another mode of separating the two acids is to convert them into calcium salts, which are then treated with a perfectly neutral solution of cupric chloride, soluble cupric citrate and calcium chloride being formed, while cupric tartrate remains undissolved.

The passage from this tegumentary layer to the subjacent longitudinal muscular one is gradual, no membrane separating them.

Nor can we doubt that it was his influence which shaped the famous ordinance separating the ecclesiastical from the secular courts (c. 1076).

From the Alexandrians the science passed to the Arabs, who made discoveries and improved various methods of separating substances, and afterwards, from the 11th century, became seated in Europe, where the alchemical doctrines were assiduously studied until the 15th and 16th centuries.

We may suppose that in the formation of gaseous hydrochloric acid from gaseous chlorine and hydrogen, according to the equation H2 +C1 2 = HCI+HC1, a certain amount of energy is expended in separating the atoms of hydrogen in the hydrogen molecule, and the atoms of chlorine in the chlorine molecule, from each other; but that heat is developed by the combination of the hydrogen atoms with the chlorine atoms, and that, as more energy is developed by the union of the atoms of hydrogen and chlorine than is expended in separating the hydrogen atoms from each other and the chlorine atoms from one another, the result of the action of the two elements upon each other is the development of heat, - the amount finally developed in the reaction being the difference between that absorbed in decomposing the elementary molecules and that developed by the combination of the atoms of chlorine and hydrogen.

The procedure for the detection of metals in solution consists of first separating them into groups and then examining each group separately.

If, however, an amount of energy a is taken up in separating atoms, the ratio is expressible as C p /C„= (5+a)/(3-Fa), which is obviously smaller than 5/3, and decreases with increasing values of a.