Simultaneous Sentence Examples

The simultaneous system of two quadratic forms ai, ay, say f and 0, consists of six forms, viz.

If the two things are different, they are either simultaneous or in succession.

Heating or exposure to sunlight reduces it to the red oxide; it fires when ground with sulphur, and oxidizes ammonia to nitric acid, with the simultaneous formation of ammonium nitrate.

The only new problem introduced is the simultaneous transmission of two messages in the same direction; this is sometimes ruplex called " diplex transmission."

This can be done through simultaneous memberships, or by using one site for a while before moving to another.

He supported the repeal of the Stamp Act, while urging the simultaneous passing of the Declaratory Act.

The first chemical change suggested is an interaction between carbon dioxide and water, under the influence of light acting through chlorophyll, which leads to the simultaneous formation of formaldehyde and hydrogen peroxide.

In the absence of such a reversible card the index correction must be determined by comparison with a unifilar magnetometer, simultaneous observations being made on shore, and these observations repeated as often as occasion permits.

Wallace has recorded cases of simultaneous variation among insects, apparently due to climate or other strictly local causes.

Once advantage DSL offers is simultaneous use of your phone for outgoing and incoming calls while you continue to surf the net, a big advantage to the SOHO user who may be operating an online business.

But, in actual operation, these two processes are simultaneous; every member is developed as an organ for the performance of some special function.

Arrangements had been made for the simultaneous proclamation of Absalom in all parts of the land.

An elaborate plan of operations, which he described in detail in a letter to his brother after his arrest, had been prepared by Emmet, the leading feature of which was a simultaneous attack on the castle, the Pigeon House and the artillery barracks at Island bridge; while bodies of insurgents from the neighbouring counties were to march on the capital.

It may denote a simultaneous orthogonal invariant of forms of orders n i, n2, n3,...; degree 0 of the covariant in the coefficients.

The actual formation of this salt is not quite clear; but it is certainly conditioned by the simultaneous contact of decaying nitrogenous matter, alkalies, air and moisture.

The chlorine reacts with the caustic soda, forming sodium hypochlorite, and this in turn, with an excess of chlorine and at higher temperatures, becomes for the most part converted into chlorate, whilst any simultaneous electrolysis of a hydroxide or water and a chloride (so that hydroxyl and chlorine are simultaneously liberated at the anode) also produces oxygen-chlorine compounds direct.

He is in favour of an early simultaneous study of a wide variety of subjects, to be followed later by the special study of one or two.

There are not enough letters to cover the uncials, the same letter has to serve for various fragments which are quite unconnected except by the accident of simultaneous discovery, and no information is given about the MS. referred to.

Another simultaneous plan of procuring the Swedish crown for Duke Charles Frederick also came to nought.

Concentrated sulphuric acid converts them into sulphates, with simultaneous liberation of carbon monoxide.

Against the "Chorizontes," who have advanced various hypotheses on all these points without convincing one another, it may be objected that they have not considered Aristotle's method of gradual and simultaneous composition of manuscripts within the Peripatetic school.

Nevertheless, I should consider it a crime against humanity not to sincerely co-operate in an initiative having for object a simultaneous reduction of armaments of the great powers.

The simultaneous collapse of Muscovy had given Poland an unexampled opportunity of rendering the tsardom for ever harmless.

It is maintained by those admirers of Mary who assume her to have been an almost absolute imbecile, gifted with the power of imposing herself on the world as a woman of unsurpassed ability, that, while cognisant of the plot for her deliverance by English rebels and an invading army of foreign auxiliaries, she might have been innocently unconscious that this conspiracy involved the simultaneous assassination of Elizabeth.

Blagden (Ber.,1900,33,p.2544), who consider that three simultaneous reactions occur, namely, the formation of labile double salts which decompose in such a fashion that the radical attached to the copper atom wanders to the aromatic nucleus; a catalytic action, in which nitrogen is eliminated and the acid radical attaches itself to the aromatic nucleus; and finally, the formation of azo compounds.

There is also difficulty in ensuring that the observations shall be simultaneous, an important matter especially when the apparent velocity is considerable.

Moreover, the admirably conceived scheme for a simultaneous triple attack upon Boeotia at Chaeronea in the north, Delium in the south-east, and Siphae in the south-west had fallen through owing to the inefficiency of the generals.

All this means that the execution of natural movements employs simultaneous co-operative activity of a number of points in the motor fields on both sides of the brain together.

The tetraspores may arise by the simultaneous division of the contents of a sporangium, when they are arranged tetrahedrally, or they may arise by two successive divisions, in which case the arrangement may be zonate when the spores are in a row, or cruciate when the second divisions are at right angles to the first, or tetrahedral when the second divisions are at right angles to the first and also to one another.

But Francis again refused, and in fact was negotiating with Austria and the pope for a simultaneous invasion of Modena, Lombardy and Romagna.

Cyanogen iodide and iodine monoand tri-chloride effect similar decompositions with simultaneous liberation of iodine; sulphuric acid reacts slowly, forming nickel sulphate and liberating hydrogen and carbon monoxide.

Krauss was convinced that an offensive against Italy from the Trentino was practicable, and, if accompanied by a simultaneous attack on the Isonzo front, would lead to great results.

True it is that the rejection of all the cospecies is a long process, but what if therein their simultaneous or subsequent determination is helped forward ?

Sir Bartle Frere, who became high commissioner of South Africa in March 1877, found evidence which convinced him that the Kaffir revolt of that year on the eastern border of Cape Colony was part of a design or desire "for a general and simultaneous rising of Kaffirdom against white civilization"; and the Kaffirs undoubtedly looked to Cetywayo and the Zulus as the most redoubtable of their champions.

For several years Whiston continued to write and preach both on mathematical and theological subjects with considerable success; but his study of the Apostolical Constitutions had convinced him that Arianism was the creed of the primitive church; and with him to form an opinion and to publish it were things almost simultaneous.

She cannot, therefore, have been more than eleven, or twelve in 1656, the year in which Spinoza left Amsterdam; and as Kerckkrink was seven years younger than Spinoza, they cannot well have been simultaneous pupils of Van den Ende's and simultaneous suitors for his daughter's hand.

Both chambers thereupon decided to ask the opinion of the king with regard to the simultaneous extension of the franchise to women at elections for the Second Chamber.

The first-fruits of this new resolve were a quite gratuitous attack on his old friend, the distinguished humanist and jurist Ulrich Zasius (1461-1536), for a doctrine proclaimed ten years before, and a simultaneous assault on Erasmus's Annotationes in Novum Testamentum.

On the 27th the Bulgarian wheel began, but instead of its being carried out on a fixed pivot, the pivot itself was allowed to advance eastward, so that, instead of presenting a united line, the Bulgarians formed a loose echelon, left in advance, which led to successive instead of simultaneous engagements.

The essential "form" of the consecration is in the simultaneous "laying on of hands" by the consecrating prelates.

The white inhabitants, still mostly French, were subjected to an English rule that until the Quebec Act of 1774 was chiefly military, and as a consequence many of the more thrifty sought homes elsewhere, and the Indians, most of whom had been allies of the French, were so ill-treated, both by the officers and traders, that under Pontiac, chief of the Ottawas, a simultaneous attack on the English posts was planned.

The great schism of the west had already lasted thirty years, and the efforts which had been made to restore unity within the Church by the simultaneous resignation of the two rival pontiffs had been in vain, when in the spring of 1408, the state of affairs being desperate, the idea arose of assembling a council to effect a union without the co-operation of the popes.

One-third of the whole council retire in each year, the annual elections being held in March, but there may be a simultaneous retirement of the whole council in every third year if the county council at the instance of the district council so order.

The custom of the country gradually took the shape of a simultaneous resettlement of all conditions of rural occupation about St George's day (November 24), that is after the gathering of the harvest and the practical winding up of rural work.

A simultaneous invasion of Walachia by a large Turkish and Tatar host was successfully defeated; victorious sultan from massacring the prisoners and adding to the tribute a yearly contribution of 3000 javelins and 4000 shields.

Excepting the embayment region, Missouri lies wholly within the Carolinian area of the Upper Austral life-zone; the There has been some controversy as to whether this condition is due to the elevation and corrosion of original flood-plain meanders after their development in a past base-level condition - which theory is probably correct - or to the natural, simultaneous lateral and vertical cut of an originally slightly sinuous stream, under such special conditions of stream declivity and horizontal bedstrata (conditions supposed by some to be peculiarly fulfilled in this region) as would be favourable to the requisite balance of bank cutting and channel incision.

Thirsting for vengeance, he fled to the Cossack settlements on the Lower Dnieper and thence sent messages to the khan of the Crimea, urging a simultaneous invasion of Poland by the Tatars and the Cossacks (1647).

If we would discover that which is common to all things at all times, we must, he submitted, exclude the differences of things, whether simultaneous or successive.

The statement that a number of objects can be seen to be three or four is not to be taken as implying that there is a simultaneous perception of all the objects.

The old-fashioned problems about the amount of work done by particular numbers of men, women and boys, are of this kind, and really involve the solution of simultaneous equations.

As reason has apprehended these two simultaneous phenomena, attention and sensation, and led us The immediately to conceive the two sorts of distinct they are related, so, from the notion of this limitation, we find it impossible under the same guide not to conceive a supreme cause, absolute and infinite, itself the first and last cause of all.

Numerous attempts have been made to solve these problems, and to construct a theory of the origin of the Grail story, but so far the difficulty has been to find an hypothesis which would admit of the practically simultaneous existence of apparently contradictory features.

But there was a simultaneous outbreak in many urban districts.

It was only late in 1858 that Lord Elgin and Baron Gros, the French plenipotentiary (for France joined England in securing simultaneous redress of grievances of her own), were enabled to obtain suitable reparation.

Of the highly developed civilizations which grew up and flourished in Bactria, Bokhara and Samarkand the last survivals are now undergoing rapid obliteration with the simultaneous desiccation of the rivers and lakes.

At the same time the dualism involved in the simultaneous acceptance of an optimistic account of the origin and nature of the universe (such as is implied in Christian theology) and a belief in the reality of moral evil witnessed to by the Christian doctrine of Redemption, intensified the difficulties already felt concerning man's responsibility and God's omnipotence.

Many substances undergo simultaneous oxidation and reduction when treated in a particular manner; this is known as selfor auto-oxidation.

The two systems that have just been described were those that most prominently attracted the attention of the ancient world, so far as it was directed to ethics, from their Later almost simultaneous origin to the end of the 2nd Greek century A.D., when Stoicism almost vanishes from our philo- view.

It was designed of sufficient width, as was supposed, for the simultaneous passage of boats in opposite directions; but on account of the great velocity of the current this has been found to be impracticable.

With him begins that encyclopaedic character - the simultaneous cultivation of the whole field of investigation which is reflected from Aristotle on the Arabian school.

The explanation of this phenomenon is that the metal is trans formed at a red heat into another modification, as is proved by simultaneous changes in its magnetic and electrical properties.

The mRNA was positively correlated with its simultaneous serum levels, and was higher in G/G genotype.

Fregert, S. and Rorsman, H. (1963) Simultaneous hypersensitivity to balsam of pine and to balsam of pine and to balsam of Peru.

Priority values define a numerical rank or ordering of the threads that a thread scheduler can use to resolve simultaneous contention for processing resources.

Indeed, the process of simultaneous debate and consultation in all countries will greatly facilitate convergence.

This approach permitted the simultaneous evaluation of ploidy changes and chromosome arm deletions.

The basic method followed is a new variant of the classical method which allows the simultaneous derivation of the associated series results.

He solved problems such as pairs of simultaneous quadratic equations.

I asked him one day what was the value of the simultaneous equations he was trying to teach us how to solve.

One of the classic problems of robustness theory involves the simultaneous estimation of location and scatter from a set of multivariate data.

In most cases, a fall in serum ferritin values simultaneous with a rise in packed cell volume is observed.

The simultaneous migration of large numbers of immature fluke through the liver can cause severe tissue damage.

This echinoderm is a simultaneous hermaphrodite (male gonads and mature eggs occurring together ).

The three stages may be simultaneous, as with a fatal gunshot.

Our analyzes have focused on insects, birds and mammals, but also other arthropods and a diverse range of simultaneous hermaphrodites.

This allows the simultaneous analysis of every chromosome for submicroscopic chromosome imbalances using only a single slide per patient.

The Babylonians studied problems which lead to simultaneous linear equations and some of these are preserved in clay tablets which survive.

We used a heavy paving mallet to put a vibration impulse into the floor with simultaneous measurements being made in both buildings.

The current historical phase has been a process of increasing materialism and a simultaneous decrease in spirituality.

Under simultaneous 2-channel measurement, 2 data items are recorded at the same time.

Neither need the insight be exactly simultaneous with what makes the experience mystical.

Music Broadcast allows for simultaneous playback to all stations.

But a moment's glance at the data reveals there was no almost simultaneous recovery.

Extensive air showers contain billions of secondary particles and can cause nearly simultaneous bursts of light in more than five tanks.

Jimmy's skills are in verbalisation, not simultaneous equations.

These two ships made history last year by having the first ever simultaneous naming ceremony of cruise ships in the UK.

This motion is often simultaneous, and can be produced by irritation.

In qualitative research, data collection and analysis are usually simultaneous, with issues emerging from the analysis guiding further data collection.

It holds up to four AA and two AAA batteries, and even allows simultaneous charging of the two types.

In November ARENA launched a portal, which provides simultaneous searching of six European sites and monuments databases.

Toward the end of the month there was a multilingual debate using simultaneous interpreting facilities at Heriot-Watt University.

The amazing consequence is that two events which are simultaneous in A ' s frame will not appear simultaneous in B ' s frame.

Some internal PC-compatible models include full-duplex speakerphone, voice mail, caller ID, distinctive ring, and simultaneous voice and data capabilities.

According to Gee, learning and playing are simultaneous and largely synonymous processes.

The first sound is the simultaneous closure of the A/V valves, which is at the start of the ventricular systole.

T1 processor allowing for 32 simultaneous operations.

Attending international events like this, where simultaneous translation is often used, can be challenging.

Observations are made at a given height over level open ground near the observatory, and a comparison with the simultaneous results from the self-recording electrograph enables the records from the latter to be expressed as potential gradients in the open.

Elster and Geitel found the sign of the charge often fluctuate repeatedly during a single rain storm, but it seemed more often than not opposite to that of the simultaneous potential gradient.

A conflict between Corcyra and Corinth, the second and third naval powers of Greece, led to the simultaneous appearance in Athens of an embassy from either combatant (433) Pericles had, as it seems, resumed of late a plan of Western expansion by forming alliances with Rhegium and Leontini, and the favourable position of Corcyra on the traderoute to Sicily and Italy, as well as its powerful fleet, no doubt helped to induce him to secure an alliance with that island, and so to commit an unfriendly act towards a leading representative of the Peloponnesian League.

By means of this series of conciliar courts the unity of the Church is secured and made manifest; the combined, simultaneous effort of the whole is made possible; and disputes, instead of being fought out where they arise, are carried for settle ment to a larger and higher judicatory, free from local feeling and prejudice.

One of Harvey's prime objects is to defend and establish, on the basis of direct observation, the opinion already held by Aristotle, that, in the higher animals at any rate, the formation of the new organism by the process of generation takes place, not suddenly, by simultaneous accretion of rudiments of all or the most important of the organs of the adult, nor by sudden metamorphosis of a formative substance into a miniature of the whole, which subsequently grows, but by epigenesis, or successive differentiation of a relatively homogeneous rudiment into the parts and structures which are characteristic of the adult.

By simple multiplication (al b l b2 -24a2bib2+ala2b;)xi +(aibz -ala214b2-aia2blb2+a2b2)xlx2 + (aia 2 b2 - 2a l a2b l b2 +a2/4b 2)x2; and transforming to the real form, (aob 2 - 2a1b,+a2bo)xi (aob 3 -a l b 2 - alb,+a3bo)xlx2 + (aib3 - 2a2b2+a3b1)x2, the simultaneous covariant; and now, putting b = a, we obtain twice.

But if we polish the solid alloys, etch them if necessary, and examine them microscopically, we shall find that alloys on the lead side of the diagram consist of comparatively large crystals of lead embedded in a minute complex, which is due to the simultaneous crystallization of the two metals during the solidification at the eutectic temperature.

At this crisis Poland owed her salvation to two events - the formation of a general league against Sweden, brought about by the apprehensive court of Vienna and an almost simultaneous popular outburst of religious enthusiasm on the part of the Polish people.

It is proved that the specific instances on which Barrande's generalizations were founded were due to his misinterpretation of the overturned and faulted strata, but his conception of the simultaneous existence of two faunas, one of more ancient and one of more modern type, and of their alternation in a given area, was based on sound philosophical principles and has been confirmed by more recent work.

Against the " Chorizontes," who have advanced various hypotheses on all these points without convincing one another, it may be objected that they have not considered Aristotle's method of gradual and simultaneous composition of manuscripts within the Peripatetic school.

This paper considers a linear triangular simultaneous equations model with conditional quantile restrictions.

Simultaneous recording and playback of TV programs, available with DVD-RAM, offers functionality similar to that of a hard disk drive.

Graphs 2 Pages 83 to 85 Simultaneous equations using graphs.

At this meeting, simultaneous translation of Japanese & French was arranged by the organizers.

Her world 's greatest involved the simultaneous live webcast and broadcast featuring Sir Paul McCartney.

Simultaneous measurements of variations in all three important scales would be made for the first time.

She is also a practicing simultaneous interpreter for the Russian Association for Engineering Education.

But a moment 's glance at the data reveals there was no almost simultaneous recovery.

Jimmy 's skills are in verbalisation, not simultaneous equations.

This is all down to the 32 thread, T1 processor allowing for 32 simultaneous operations.

Keep them around, too, for large parties; have your guests split into groups for simultaneous card games.

If you aren't going to require the use of hot water for simultaneous laundry and bathing, a demand hot water heater may be just what you need.

The result is a unique, simultaneous view that offers the user a variety of angles to examine.

Similar to the multi-tray system of the Burpee kits, The Sprout Garden has three green trays to allow for the simultaneous growing of different seeds.

You also need to choose two varieties which have simultaneous bloom times (because some varieties bloom earlier than others).

Depending on your needs, you can select multifocal lenses that either help with your alternating vision or your simultaneous vision, as these lenses work to combat the problems associated with these two different functions of the eye.

The optical lab then tints your lenses as you wish--from a gradient that starts darker on top and gets lighter toward the bottom (great for simultaneous map reading and driving), to one solid color in any depth.

It follows in much the same kind of format, but it adds in the ability for up to four players to participate in simultaneous co-operative play.

Multiplayer gameplay is turn-based, but simultaneous.

The games Ultima Online and Everquest were also breakouts in the multi-player online gaming, initially allowing fewer than a hundred simultaneous players, but with rapidly increasing numbers as new technology evolved.

With split-screen simultaneous gameplay, that's how.

Nintendogs continued this tradition of multiple versions in 2005 with the simultaneous release of three games, each featuring a different set of puppies to own.

This is also where the multiplayer action comes into play, though the majority of events are turn-based, rather than of simultaneous gaming variety.

Online multiplayer modes will allow up to 64 simultaneous players on Windows, 32 on Xbox and 24 on PlayStation 2.

Use the wireless capabilities of the PSP to play a portable multiplayer game with up to 4 simultaneous players in cooperative or competitive modes.

Multiple simultaneous stressors are also possible, such as starting daycare and having an abusive caretaker at the daycare or a divorce complicated by parental substance abuse.

There is no evidence that simultaneous administration of vaccines either reduces vaccine effectiveness or increases the risk of adverse events.

Simultaneous bilingualism occurs when a child learns both languages at the same time.

In the early stages of simultaneous bilingual language development, a child may mix words, parts of words, and inflections from both languages in a single sentence.

Simultaneous use of anabolic steroids and corticosteroids will increase the risk of foot and ankle swelling.

Spinal cord or brain injury can damage this control system and cause involuntary simultaneous contraction and spasticity, an increase in resistance to movement during motion.

Yes, due to Simultaneous Contrast, whereby when you look at any color on the color wheel your eyes generate the opposite color.

Right now, there is a chapter on eye makeup where you can use the principles of Simultaneous Contrast to bring out eye color.

The classic definition of polyamory, as described by Anita Wagner of the Loving More Foundation, is "multiple simultaneous romantic relationships with the full knowledge and consent of everyone involved."

Quadruplex telegraphy consists in the simultaneous transmission of two messages from each end of the line.

A simultaneous insurrection at Massa - Carrara was crushed with similar vigour.

In Transylvania, however, the common peril evoked by the Turkish incursion and a simultaneous rising of the Vlach peasantry had knit together the jarring interests of Magyars, Saxons and Szeklers, a union which, under the national hero, the voivode Janos Hunyadi, was destined for a while to turn the tide of war.

When, in the spring of 1769, the first serious campaign was opened by a simultaneous attack by three Russian armies on the principalities, the Crimea and the buffer state of Kabardia, the Turks, in spite of ample warning, were unprepared.

He successfully considers the systems of two and three simultaneous ternary quadratics.

Various currents are then passed through the magnetizing coil, the galvanometer readings and the simultaneous magnetometer deflections being noted.

Indeed, but for the unceasing simultaneous struggle with the Teutonic knights, the burden of which was heroically borne by Kiejstut, Russian historians frankly admit that Lithuania, not Muscovy, must have become the dominant power of eastern Europe.

The corresponding changes in the case of the mixture Tuvw are easily understood - the first halt at U, due to the crystallization of pure B, will probably occur at a different temperature, but the second halt, due to the simultaneous crystallization of A and B, will always occur at the same temperature whatever the composition of the mixture.

The genesis of the last three types of deposit is generally assigned to the simultaneous percolation of solutions of gold and silica, the auriferous solution being formed during the disintegration of the gold-bearing metalliferous veins.

A simultaneous and uniform census of the British empire is an ideal which appeals to many, but its practical advantages are by no means commensurate with the difficulties to be surmounted..

The reader will be able to make out the simultaneous motions and pressures at various points.

The German National Union (Nationalverband) agreed to extend temporary hospitality to the Italian university in Vienna, but the Southern Slav Hochschule Club demanded a guarantee that a later transfer to the coast provinces should not be contemplated, together with the simultaneous foundation of Slovene professorial chairs in Prague and Cracow, and preliminary steps towards the foundation of a Southern Slav university in Laibach.

He yielded, however, to the instances of the government of Charles VI., and pretending that he wished to have an interview with Gregory XII., with a view to their simultaneous abdication, he advanced to Savona, and then to Porto Venere.

Meantime, he had gained a high literary reputation by his Eloges of Charles V.,, Lacaille, Moliere, Corneille and Leibnitz, which were issued in a collected form in 1770 and 1790; he was admitted to the French Academy (February 26, 1784), and to the Academie des Inscriptions in 1785, when Fontenelle's simultaneous membership of all three Academies was renewed in him.

The division in all cases takes place by constriction, or by a simultaneous splitting along an equatorial plane.

His fleet, too, lingered uselessly in the harbour, till after a defeat in which Eurymedon perished, though the simultaneous land attack was unsuccessful.

The process is therefore adapted to the simultaneous estimation of carbon,hydrogen, the halogens and sulphur.

The investigation of the properties of these functions, as well for a single form as for a simultaneous set of forms, and as well for one as for many series of variables, is included in the theory of invariants.

We cannot combine the equations so as to eliminate the variables unless on the supposition that the equations are simultaneous, i.e.

This expression of R shows that, as will afterwards appear, the resultant is a simultaneous invariant of the two forms.

From these formulae we derive two important relations, dp4 = or the function F, on the right which multiplies r, is said to be a simultaneous invariant or covariant of the system of quantics.

Since (ab) = a l b 2 -a 2 b l, that this may be the case each form must be linear; and if the forms be different (ab) is an invariant (simultaneous) of the two forms, its real expression being aob l -a l b 0.

In general it will be simultaneous covariant of the different forms n 1 rz 2 n3 a, b x, ?

For the cubic (ab) 2 axbx is a covariant because each symbol a, b occurs three times; we can first of all find its real expression as a simultaneous covariant of two cubics, and then, by supposing the two cubics to merge into identity, find the expression of the quadratic covariant, of the single cubic, commonly known as the Hessian.

Simultaneous equations in two unknowns x and y may be treated in the same way, except that each equation gives a functional relation between x and y.

Calcium cyanamide has assumed importance in agriculture since the discovery of its economic production in the electric furnace, wherein calcium carbide takes up nitrogen from the atmosphere to form the cyanamide with the simultaneous liberation of carbon.

If simultaneous, cause is effect and effect cause.

The south-westerly winds which prevail north of the equator during the hot half of the year, to which navigators have given the name of the south-west monsoon (the latter word being a corruption of the Indian name for season), arise from the great diminution of atmospheric pressure over Asia, which begins to be strongly marked with the great rise of temperature in April and May, and the simultaneous relatively higher pressure over the equator and the regions south of it.

This notion is fundamental in the present theory because we will find that one of the most valuable artifices for finding invariants of a single quantic is first to find simultaneous invariants of several different quantics, and subsequently to make all the quantics identical.

Duplex telegraphy consists in the simultaneous transmission of two messages, one in each direction, over the same wire.

A pilgrimage feast must be fixed in date to ensure the simultaneous presence of the pilgrims. There are, besides, seeming references to the feast in the early prophets, as Hosea xii.

Turkey was at this time the only neutral state in Europe; it was of vital im- Treaty of portance that she should not be absorbed into the Napoleonic system, as in that case Russia would have been exposed to a simultaneous attack from France, Austria, Turkey and Persia.

Nevertheless, a simultaneous outbreak of a jacquerie in Little-Russia contributed to the extension of the confederation throughout the eastern province of Poland and even in Lithuania.

The result of his discovery was an entire revolution in the knowledge of diseases of the chest; but it would be a mistake to forget that an essential factor in this revolution was the simultaneous study of the condition of the diseased organs as seen after death.

Malatesta contributed to the defeat by preventing a simultaneous attack by the besieged.

Having come to an understanding with his father-in-law Podébrad, he was able to turn his arms against the emperor Frederick, and in April 1462 Frederick restored the holy crown for 60,000 ducats and was allowed to retain certain Hungarian counties with the title of king; in return for which concessions, extorted from Matthias by the necessity of coping with a simultaneous rebellion of the Magyar noble in league with Podebrad's son Victorinus, the emperor recognized Matthias as the actual sovereign of Hungary.

The closed ovary implies a mode of fertilization which is profoundly different, and which was probably correlated with a simultaneous development of insect life.

This process will go on until the simultaneous separation of electric charges produces an electrostatic force strong enough to prevent further separation of ions.

It will be shown later that all invariants, single or simultaneous, are expressible in terms of symbolic products.

These are knocked off, ground up with water, freed from metal-particles by elutriation, and the paste of white lead is allowed to set and dry in small conical forms. The German method differs from the Dutch inasmuch as the lead is suspended in a large chamber heated by ordinary means, and there exposed to the simultaneous action of vapour of aqueous acetic acid and of carbon dioxide.

Honda subjected tubes of iron, steel and nickel to the simultaneous action of circular and longitudinal fields, and observed the changes of length when one of the fields was varied while the other remained constant at different successive values from zero upwards.

The next marked advance in the theory of geography may be taken as the nearly simultaneous studies of the physical earth.

It is readily decomposed by water with formation of sulphurous, sulphuric and thiosulphuric acids, with simultaneous liberation of sulphur.

This simultaneous discussion of many topics did not prevent a clear understanding but on the contrary was the surest sign that they fully understood one another.

When, for instance, we say that Napoleon ordered armies to go to war, we combine in one simultaneous expression a whole series of consecutive commands dependent one on another.