Problem Sentence Examples

The problem wasn't Dulce or his father.

To discover and define those laws is the problem of history.

The problem is that the poor don't have enough money to afford the food.

I had hoped that you would resolve your problem, but it seems to have no end.

Neither of them lawyers had a problem with me either.

Maybe his problem was a girlfriend.

To me, that's problem number one.

He knows the problem.

She does have a problem with my keeping secrets from Julie.

She had created this problem and now it was hers to face alone.

What's the problem with this jury business?

This was Howie's problem, not ours.

Of course, a stream running through, or an island in the pond, would make the problem much more complicated.

I want to know what the problem is.

The father had some health problem, if I remember.

I want to be able to focus on solving this problem, not worrying about what might be said or done to you.

The woman has a serious problem.

When we consider the costs of all the wrong decisions ever made—a calculation I don't even know how to approach—we will think of it as a diminishing problem receding into the past.

Problem is, it's a big state.

No, that wasn't the only problem.

What is this problem you speak of?

A bright idea, however, shot into my mind, and the problem was solved.

During the final stages of the German treaty the Adriatic problem was once more shelved, until on June 29 and July 6 armed conflicts took place in the streets of Fiume between Italian and French soldiers, resulting in several deaths.

Taking up the idea of a divine education of the human race, which Lessing and Herder had made so familiar to the modern mind, and firmly believing that to each of the leading nations of antiquity a special task had been providentially assigned, Ewald felt no difficulty about Israel's place in universal history, or about the problem which that race had been called upon to solve.

This made the problem of deciphering Persian inscriptions a relatively easy one.

In one of his early investigations he gave an ingenious though indirect demonstration of the problem of the parallelogram of forces.

The problem of the cause of these striking and novel phenomena at first produced considerable perplexity.

The problem of the stresses in rarefied gaseous media arising from inequalities of temperature, which is thereby opened out, involves some of the most delicate considerations in molecular physics.

On this ground Maxwell inferred that the forces acting in the radiometer are connected with gliding of the gas along the unequally heated boundaries; and as the laws of this slipping, as well as the constitution of the adjacent layer, are uncertain, the problem becomes very intricate.

The problem which was to be settled by a century of strife was now posed.

This correlative numerical problem and the two purely geometrical problems are inseparably connected historically.

The problem he set himself was the exact converse of that of Archimedes.

For in such a construction every point of the figure is obtained by the intersection of two straight lines, a straight line and a circle, or two circles; and as this implies that, when a unit of length is introduced, numbers employed, and the problem transformed into one of algebraic geometry, the equations to be solved can only be of the first or second degree, it follows that the equation to which we must be finally led is a rational equation of even degree.

De Spatii Sectione discussed the similar problem which requires the rectangle contained by the two intercepts to be equal to a given rectangle.

This problem, which is sometimes known as the Apollonian Problem, was proposed by Vieta in the 16th century to Adrianus Romanus, who gave a solution by means of a hyperbola.

The First Problem Which The Construction Of The Calendar Presents Is To Connect The Week With The Year, Or To Find The Day Of The Week Corresponding To A Given Day Of Any Year Of The Era.

Hence, when the number of any proposed year in each of the cycles is known, its number in the Julian period can be determined by the resolution of a very simple problem of the indeterminate analysis.

It is unnecessary, however, in the present case to exhibit the general solution of the problem, because when the number in the period corre sponding to any one year in the era has been ascertained, it is.

But this advantage is only procured by the sacrifice of some accuracy; for notwithstanding the cumbersome apparatus employed, the conditions of the problem are not always exactly satisfied, nor is it possible that they can be always satisfied by any similar method of proceeding.

At the same time, the possibility of a confusion between Ninib and Nergal must be admitted, and perhaps we are to see the solution of the problem in the recognition of two diverse schools of theological speculation, the one assigning to Ninib the role of the spring-tide solar deity, the other identifying him with the sun of the summer solstice.

The Indian problem was important.

Knowledge being limited to the ideas produced could never extend to the unperceived matter, or substance, or cause which produced them, and it became a problem for speculative science to determine the grounds for the very belief in its existence.

Now Berkeley put this whole problem in a new light by pointing out a preliminary question.

But this is by no means the whole or even the principal part of Berkeley's philosophy; it is essentially a theory of causality, and this is brought out gradually under the pressure of difficulties in the first solution of the early problem.

He once for all lifted the problem of metaphysics to a higher level, and, in conjunction with his successor, Hume, determined the form into which later metaphysical questions have been thrown.

The problem is complicated by the fact that, from the Egyptian evidence, not only was there at this time no remarkable emigration of oppressed Hebrews, but Bedouin tribes were then receiving permission to enter Egypt and to feed their flocks upon Egyptian soil.

Thus, whatever evidence may be supplied by archaeological research, the problem of the Exodus must always be studied in the light of the biblical narratives.

A month after the inauguration the murder of Lincoln left him president, with the great problem to solve of reconstruction of the Union.

In the solution of this problem the common sense of Wellington and of Castlereagh, with whom the duke worked throughout in complete harmony, played a determining part; it was mainly owing to their influence that France escaped the dismemberment for which the German powers clamoured, and which was advocated for a while by Lord Liverpool and the majority of the British cabinet.

The Balkan Wars, and Poincare's attitude towards the problem raised by them, greatly increased his prestige; he declared on Dec. 4 to the Foreign Affairs Committee of the Chamber that he was determined to secure respect for the economic and political interests of France, not only in the Balkan Peninsula, but in the Ottoman Empire generally, and especially in Syria.

Hewitt has also attacked the problem by brominating the oxyazobenzenes, and has shown that when the hydrobromic acid produced in the reaction is allowed to remain in the system, a brombenzene-azo-phenol is formed, whilst if it be removed (by the addition of sodium acetate) bromination takes place in the phenolic nucleus; consequently the presence of the mineral acid gives the azo compound a pseudo-quinonoid character, which it does not possess if the mineral acid be removed from the sphere of the reaction.

Poland is another case of the difficulty of managing a population which speaks a language not that of the governing majority, and Russia, in trying to solve one problem by absorbing Finland into the national system, is burdening herself with another which may work out in centuries of unrest, if not in domestic violence.

Davis, he secured the passage of the Wade-Davis Bill (for the reconstruction of the Southern States), the fundamental principle of which was that reconstruction was a legislative, not an executive, problem.

In fact, famine is, to all intents and purposes, endemic in India, and is a problem to reckon with every year in some portion of that vast area.

The problem is very much the same as that met by the British Poor Law system.

Adopting the definition we should have no difficulty in proving that in a vacuum tube gases may be luminous at very low temperatures, but we are doubtful whether such a conclusion is very helpful towards the elucidation of our problem.

The problem, which, in the opinion of the present writer, is the one of interest and has more or less definitely been in the minds of those who have discussed the subject, is whether the type of wave sent out by a molecule only depends on the internal energy of that molecule, or on other considerations such as the mode of excitement.

In one solution of the former problem is the first recorded use of the property of a conic (a hyperbola) with reference to the focus and directrix.

With the mention of the Porisms of Euclid we have an account of the relation of porism to theorem and problem.

As the Turbellaria (Planarians) are the most primitive division of the Platyelmia, the problem of the affinities of this phylum resolves itself into that of the relationships of the Turbellaria.

And the question as to the true theory of these relations is known as the Synoptic Problem.

This oral theory was for a long time the favourite one in England; it was never widely held in Germany, and in recent years the majority of English students of the Synoptic Problem have come to feel that it does not satisfactorily explain the phenomena.

An interesting sociological problem is raised by the presence of the large Asiatic element in the population.

Another fact which is possibly contributing to the solution of the problem is that the Japanese are leaving the islands in large numbers as compared with the Koreans.

The problem of magnesium reduction is in many respects similar to that of aluminium extraction, bait the lightness of the metal as compared, bulk for bulk, with its fused salts, and the readiness with which it burns when exposed to air at high temperatures, render the problem somewhat more difficult.

Thus in presence of the problem which is the crux of materialism, the origin of consciousness, he first propounds a gratuitous hypothesis that everything has mind, and then gives up the origin of conscious mind after all.

It is Wundt's own statement of his solution of the epistemological problem " that on the one hand the whole outer world exists for us only in our ideas, and that on the other hand a consciousness without objects of idea is an empty abstraction which possesses no actuality " (System, 212 -213).

Caesarea, indeed, as a city of mixed population and lying just outside Judaea proper - a place, moreover, where Timothy might have become known during Paul's two years' detention there - would satisfy many conditions of the problem.

Now this in Timothy's case, as far as we can trace his steps, was Ephesus; and it is natural to ask whether it will not suit all the conditions of the problem.

And, again, if this transaction settled the investiture question, it did not solve the problem of the reconciliation of the universal power of the popes with the claims of the emperors to the government of Europe; and the conflict subsisted - slumbering, it is true, but ever ready to awake under other forms. Nevertheless, the two great Christian agitations directed by the papacy at the end of the nth century and the beginning of the 12th - the reformation and the crusade - were of capital importance for the foundation of the immense religious monarchy that had its centre in Rome; and it is from this period that the papal monarchy actually dates.

This contingency explains the vacillating and illogical character of the papal diplomacy with regard to the Byzantine problem, and, inter slid, the opposition of Eugenius III.

To him, also, in his capacity of theologian, the whole of Europe submitted every obscure, delicate or controverted question, whether legal problem or case of conscience.

To them the Eastern problem presented a less complex aspect.

This document, which confused the political problem with the theological, was bound to envenom the quarrel between emperor and pope beyond all remedy.

To this difficult problem he brought remarkable skill and aptness, energy and ability.

His solution of the first problem entitles Julius II.

The Holy See directed all its energies towards the solution of the problem; in the event of its proving to be insoluble, it would take care that it should remain a festering sore in the body of the monarchy.

Die Trennung der beiden Mdchte and das Problem ihrer Wiedervereinigung bis zum Untergange des byzantinischen Reichs (Berlin, 1903), which contains an account of the question of the East in its relations with the papal policy, from the rise of the schism down to the end of the middle ages.

At last, in 1845, Faraday attacked the old problem, but this time with complete success.

In the later years of his life he applied himself to the problem of obtaining alumina in the crystalline form, and succeeded in making rubies identical with the natural gem not merely in chemical composition but also in physical properties.

Apparently the real problem is one of population adequate to effect the improvements demanded.

Since then the problem has been disentangled; and now minor points only remain to be cleared up. Jaeschke devoted special attention to the dialectical sounds, and showed in several papers and by the comparative table prefixed to his dictionary that in the western and eastern dialects these sounds correspond more or less closely to the written forms.

On the 3rd of October, therefore, the British government authorized the occupation of the Chumbi valley, and an advance to Gyantse in Tibet and military preparations, with the difficult attendant problem of transport, were undertaken.

Willard Gibbs, who considered the whole problem of physical and chemical equilibrium in papers published in 1877, though the application of his principles only began to make extensive progress about twenty years after the publication of his purely theoretical investigations.

It is possible to state the conditions of solubility in terms of the theory of available energy, but the result comes to little more than a re-statement of the problem in other terms. Nevertheless, such a re-statement is in itself sometimes an advance in knowledge.

In considering the corresponding relation for a solution instead of a pure liquid, possible differences in concentration make the column method difficult of application, and it is better to attach the problem by means of an imaginary cycle of isothermal operation.

The results are true whatever theory be in vogue, but the results throw no light on the problem of which theory to choose.

The practical difficulty of the constitutional problem gave the "court parson" - as Gneisenau had contemptuously called him - excuse enough for a change of front which, incidentally, would please his exalted patrons.

We are gradually approaching a solution of this obscure problem.

Concrete by itself, though strong in compression, can offer but little resistance to tensile and shearing stresses, and as these stresses always occur in beams the problem arises how best to arrange the steel so as to assist the concrete in bearing them.

And, when the whole facts are borne in mind, there can be no reasonable doubt that the Mendelian principles offer an intelligible solution of the problem.

The entire problem is not without its difficulties still, after all the research lavished upon it, but the probabilities seem to converge upon the conclusion that Paul was never released from his imprisonment, and consequently that he never revisited the East.

It assumes the moral distinction of the righteous and the ungodly, and seeks a solution for the problem of the lack of harmony of present character and condition.

It appears, then, that, confronted with the "problem of ascertaining the relative diameter of the particles of which, he was convinced, all gases were made up, he had recourse to the results of chemical analysis.

Baron de Henouville, unsuccessfully attempted "to reduce the base of alum" to a metal, and shortly afterwards various other investigators essayed the problem in vain.

The outstanding problem of African missions at least north of the Equator (south there is the Ethiopian question) is not the degradation of the black races, nor the demoralizing influences of heathen Christians, nor even the slave dealer, though all these obstacles are present and powerful.

Besides these matters which concerned Hinduism there was the problem of converting sixty million Mahommedans.

The problem presented by the simple existence of the facts just summed up remains in either case absolutely the same.

A special application of his theory of continuous groups was to the general problem of non-Euclidean geometry.

Perhaps the strangest problem in the whole of Switzerland is that presented by the so-called Klip pen.

As for the explanation of the community between the alpine and arctic floras, all authorities are agreed that the key to the problem is furnished by the occurrence of the glacial period.

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.

These and kindred difficulties make each new shape or size a new problem, and in particular they require that for each and every individual casting a new sand or clay mould shall be made with care by a skilled workman.

The solution of this problem is of vital importance in connexion with the early history of man's development in the Babylonian region.

The regulation of the rivers, more especially of the Tiber, is probably the most efficient method for coping with the problem.

In order to make perfectly clear the full significance of the principle which Hume applied to the solution of the chief philosophical questions, it is necessary to render somewhat more precise and complete the statement of the psychological view Theory which lies at the foundation of the empirical theory, and to distinguish from it the problem of the theory of knowledge upon which it was brought to bear.

Without entering into details, which it is the less necessary to do because the subject has been recently discussed with great fulness in works readily accessible, it may be said that for Locke as for Hume the problem of psychology was the exact description of the contents of the individual mind, and the determination of the conditions of the origin and development of conscious experience in the individual mind.

And the answer to the problem which was furnished by Locke is in effect that with which Hume started.

Either we have a right to the assumption contained in the conception of the individual mind as standing in relation to things, in which case the grounds of the assumption must be sought elsewhere than in the results of this reciprocal relation, or we have no right to the assumption, in which case reference to the reciprocal relation can hardly be accepted as yielding any solution of the psychological problem.

With Locke, Hume professes to regard this problem as virtually covered or answered by the fundamental psychological theorem; but the superior clearness of his reply enables us to mark with perfect precision the nature of the difficulty inherent in the attempt to regard the two as identical.

Now if this mode of treatment be accepted as the only possible method, and its results assumed to be conclusive as regards the problem of knowledge, the fundamental peculiarity of cognition is overlooked.

With regard, then, to the first problem, the formal element in knowledge, Hume has to consider several questions, distinct in nature and hardly discriminated by him with sufficient precision.

Beyond all question Hume, in endeavouring to answer this problem, is brought face to face with one of the difficulties inherent in his conception of conscious experience.

It will probably be sufficient to indicate the problem as conceived by Hume, and the relation of the method he adopts for solving it to the fundamental doctrine of his theory of knowledge.

For in the problem of real cognition he is brought face to face with the characteristic feature of knowledge, distinction of self from matters known, and reference of transitory states to permanent objects or relations.

The final problem of Hume's theory of knowledge, the discussion of the real significance of the two factors of cognition, self and external things, is handled in the Treatise with great fulness and dialectical subtlety.

As in the case of the previous problem, it is unnecessary to follow the steps of his analysis, which are, for the most part, attempts to self substitute qualities of feeling for the relations of thought The .

The closing sentences of this passage may be regarded as pointing to the very essence of the Kantian attempt at solution of the problem of knowledge.

It is a problem how to reconcile his ignorance, his weakness, his superstition, his crude notions, his erroneous observations, his ridiculous influences and theories, with his grasp of method, his lofty views of the true scope of medicine, his lucid statements, his incisive and epigrammatic criticisms of men and motives.

The next question constitutes perhaps the most important problem in Greek political development.

In this last achievement Professor Finke finds the solution of a problem which Langlois had declared to be insoluble.

His fortunes were presenting a most interesting problem when, on the 31st of December 1882, at his house in Ville d'Avray, near Sevres, he died by a shot from a revolver which accidentally went off.

Sibylla was the heiress of the kingdom; the problem of her marriage was important.

In the Bible the philosophical-religious problem is nowhere discussed, but Christian ethics as set forth in the New Testament assumes throughout the freedom of the human will.

The first difficult problem he had to face was the Seven Years' War.

In the chapter (xx.) of that work where Hobbes dealt with the famous problem whose solution he thought he had found, there were left expressions against Vindex (Ward) at a time when the solutions still seemed to him good; but the solutions themselves, as printed, were allowed to be all in different ways halting, as he naively confessed he had discovered only when he had been driven by the insults of malevolent men to examine them more closely with the help of his friends.

Pascal solved the hitherto refractory problem of the general quadrature of the cycloid, and proposed and solved a variety of others relating to the centre of gravity of the curve and its segments, and to the volume and centre of gravity of solids of revolution generated in various ways by means of it.

The problem was to get the water from the Gunnison over the mountain range into the Uncompahgre valley; and a tunnel, 6 m.

Thus, in the first decade of the 20th century a great advance had been made in the way in which the whole problem was being viewed in America, though the very immensity of the problem of bringing the Federal power to bear on operations on so vast a scale, involving the limitation of private land speculation in important areas, still presented political difficulties of considerable magnitude.

If this view be, rejected and it is necessary to fall back on the choice between 64 and 67, the problem is perhaps insoluble, but 64 has somewhat more intrinsic probability, and 67 can be explained as due to an artificial system of chronology which postulated for Peter an episcopate of Rome of twenty-five years - a number which comes so often in the early episcopal lists that it seems to mean little more than "a long time," just as "forty years" does in the Old Testament.

In his researches on the bleaching compounds of chlorine he was the first to advance the view that bleaching-powder is a double compound of calcium chloride and hypochlorite; and he devoted much time to the problem of economically obtaining soda and potash from seawater, though here his efforts were nullified by the discovery of the much richer sources of supply afforded by the Stassfurt deposits.

The indispensable preliminary to a really historic view of these writings is some solution of the problem of their mutual relations.

Towards the solution of this problem two contributions of prime importance have recently been made.

The supposed connexion with the Israelites has made the problem of the Hyksos attractive, but light is coming upon it very slowly.

Later, he interested himself in the problem of mechanical flight.

The effect upon the railway problem is of course very great, inasmuch as, while the supply of trucks required per day in 1906 was from moo to 1200, about 80% of these had to be sent down empty to the harbour.

The political problem presented was a very difficult one.

The revolution in Turkey had entirely changed the face of the Eastern Question; the problem of Macedonian reform was swallowed up in that of the reform of the Ottoman empire generally, there was even a danger that a rejuvenated Turkey might in time lay claim to the provinces occupied by Austria-Hungary under the treaty of Berlin; in any case, the position of these provinces, governed autocratically from Vienna, between a constitutional Turkey and a constitutional Austria-Hungary, would have been highly anomalous.

They attempted to solve the problem by granting to the Federalists all their demands.

He took up the project with characteristic ardour, and set out at once for Europe to investigate the problem.

How far the country generally may be regarded as Hellenized is a problem which involves the vexed question what right the Macedonian people itself has to be classed among the Hellenes, and Macedonian to be considered a dialect of Greek.'

The taxation of the great cities formed a separate and very difficult problem.

The existing assessment, made before the British occupation, had long been condemned by all competent authorities, but the inherent intricacies and difficulties of the problem had hitherto postponed a solution.

But the secret of the black granite school, and its excellence, is the main problem unsolved in the history of the art.

Before that time, in spite of successive efforts to establish a chronology, the problem is very obscure.

The British government had begun by excluding it from the Th S dan problem, and by declaring that for events in these queest,00n.

Hence a final conclusion can hardly be expected, but with certain modifications in detail the following solution of the problem may be accepted as representing the point of view of recent criticism.

Immediately after his accession, in 528, he appointed a commission to deal with the imperial constitutions (jus novum), this being the easier part of the problem.

This accordingly becomes the central problem of pragmatism.

It is by means of the cytological evidence, however, that this problem will finally be solved.

The imaginative force of the presentation, coming from a man of DUrer's powers, is intense; but what consciously occupied him most may well have been the problem how to draw accurately the proportions and action of a horse in motion.

You should never disregard professional advice or delay in seeking advice because of something in the Contents and you should not use the Contents for diagnosing a health or other problem or prescribing a medication.

It is not possible here to unravel the problem, but documents at St Andrews, now printed, demonstrate the error of the historians who regard Graham as a holy man, persecuted because he was half a premature Protestant.

Bateson is pre-eminent, would appear to simplify the problem of variation, especially on its mechanical and physiological sides.

For an attempt to treat the whole problem of differential fertility and assortative mating numerically, see Pearson, The Grammar of Science, 2nd edition, London, 1900.

And in India the problem still remains to trace, in the literature, the gradual growth of the system - the gradual formation of new sections among the people, the gradual extension of the institution to the families of people engaged in certain trades, belonging to the same group, or sect, or tribe, tracing their ancestry, whether rightly or wrongly, to the same source.

The first transportation problem was to connect Lake Michigan and the Mississippi river; this was accomplished by building the Illinois & Michigan canal to La Salle, at the head of the navigation on the Illinois river, a work which was begun in 1836 and completed in 1848 under the auspices of the state.

The slavery question, however, was the problem of lasting political importance.

On what is perhaps the vital problem of modern education, the question of ancient versus modern languages, he pronounced that the latter "are indispensable accomplishments, but they do not form a high mental training" - an opinion entitled to peculiar respect as coming from a president of the Modern Language Association.

In his De Quadratura Circuli he professed to have solved the problem; and in his Conjectura de novissimis diebus he prophesied that the world would come to an end in 1734.

The nature of axiomatic certainty is part of the fundamental problem of logic and metaphysics.

In 1920 he and his executive were faced by the difficult problem of the refusal of Irish railwaymen to handle munitions of war; and the only solution he and they could suggest was that the Government should cease to send such munitions and that the Labour party should make an appeal to the Irish people - a solution which ministers, of course, could not accept.

When they were baffled, the Sadducees, to whose party the chief priests belonged, sought in vain to pose Him with a problem as to the resurrection of the dead; and after that a more honest scribe confessed the truth of His teaching as to the supremacy of love to God and man over all the sacrificial worship of the Temple, and was told in reply that he was not far from the kingdom of God.

The enormous dramatic development in the symphonic music of Beethoven made the problem of the Mass with orchestral accompaniment almost insoluble.

The only other artistic solution of the problem is to follow Berlioz, Verdi and Dvorak in the complete renunciation of all ecclesiastical style.

Truly perceiving that the ultimate metaphysical problem is, here as ever, the relation of the One and the Many, McTaggart starts with a definition of the ideal in which our thought upon it can come to rest.

The agenda of the diet contained many things seriously affecting all Germany, but the one problem which every one was thinking about was how Luther would be dealt with.

But the problem is Greek.

Thus, according to the canons of the ancient philosophy, justice is done to all the factors of our problem - God remains as Father, the infinitely remote and absolute source of all; as Son, the Word who is.

Jesus faced this problem perhaps before the opening of his ministry, certainly from his break with the ecclesiastical authorities.

St Anselm denied that any penalty was due to the devil, and in terms of feudal honour restated the problem.

So universal are such ideas that the problem in particular religions is not their origin but their form.

The world's problem is not only therefore acute, but the demand for its solution is wider than ever before.

Each succeeding thinker had more or less assumed the methods of Thales, and had approached the problem of existence from the empirical side.

Hence the problem becomes a dialectical a priori speculation wherein the laws of thought transcend the sense-given data of experience.

Sedgwick attacked the problem in the Snowdon district, where the rocks are highly altered and displaced and where fossils are comparatively difficult to obtain; Murchison, on the other hand, began to work at the upper end of the series where the stratigraphy is simple and the fossils are abundant.

The discovery of earlier inscriptions than were hitherto known has, however, caused this view to be discarded, and the problem is to decide from which form of the Semitic alphabet it is derived.

The like must be said even of the contribution to the problem made by August Pott,' though he has helped to define one condition of success - the classification of the strata in " Western " texts - and has taken some steps in the right direction, in connexion with the complex phenomena of one witness, the Harklean Syriac.

Temporary financial embarrassment followed, but when the Federal government had taken upon itself half the burden and established the economic administration of the commissioners, the problem of beautifying the nation's capital was solved.

The revolution in which Alaric, Theodoric and Clovis figured did not set the problem for the middle ages only, as is frequently stated; its full meaning did not appear until the Peninsular War, the Prussia of Stein and Scharnhorst, and even Solferino and Sedan.

But these men were not all busy over the problem of how many angels could stand on a needle-point; nor were they all dominated by the religious spirit of faith or intellectual cowardice.

In most questions of pure statics we are concerned only with the ratios of the various forces which enter into the problem, so that it is indifferent what unit of force is adopted.

The problem of determining the possible configurations of equilibrium of a system of particles subject to extraneous forces which are known functions of the positions of the particles, and to internal forces which are known functions of the distances of the pairs of particles between which they act, is in general determinate For if n be the number of particles, the 3n conditions of equilibrium (three for each particle) are equal in number to the 351 Cartesian (or other) co-ordinates of the particles, which are to be found.

The problem of a rod suspended by strings attached to two points of it is virtually identical, the tensions of the strings taking the place of the reactions of the planes.

We first alter the problem by transferring the forces F, Q to the pins.

The stresses in the bars, in the problem as thus modified, may be supposed found by the preceding methods; it remains to infer from the results thus obtained the reactions in the original form of the problem.

On account of its practical importance several other graphical solutions of this problem have been devised.

It may be noticed that if the scales of x and be properly adjusted, the curve of positions in the present problem is the portion of a cycloid extending from a vertex to a cusp.

The theory of dimensions often enables us to forecast, to some extent, the manner in which the magnitudes involved in any particular problem will enter into the result.

The full working out is in general difficult, the comparatively simple problem of three bodies, for instance, in gravitational astronomy being still unsolved, but some general theorems can be formulated.

It is to be remarked, however, that iii the first form of the problem the stability above investigated is practically of a, limited or temporary kind.

These equations are due to Euler, with whom the conception of moving axes, and the application to the problem of free rotation, originated.

When, in any problem, the values of u, v, w, p, q, r have been determined as functions of t, it still remains to connect the moving axes with some fixed frame of reference.

The problem is identical with that of finding the common conjugate diameters of the ellipsoids T(x, y, I) =const., V(x, y, 1) =const.

The general principle stated above in different forms serves to solve every problem in whichthe mode of connection of a pair of pieces being givenit is required to find their comparative motion at a given instant, or vice versa.

If dw/dt is the angular acceleration of the link, dw/dt X CB is the tangential acceleration of the point B about the point C. Generally this tangential acceleration is unknown in magnitude, and it becomes part of the problem to find it.

The direction of tb, the third vector in the diagram, is also known, so that the problem is reduced to the condition that b is somewhere on the line tb.

Another general solution of the problem is given in the Proc. Loud.

The general problem in practice is, given a system of weights attached to a shaft, to find the respective weights and positions of two balance weights or counterpoises which must hi added to the system in order to make the shaft a permanent axis, the planes in which the balance weights are to revolve also beinf given.

The general problem is to find the value of a corresponding to all kinds of loadings on shafts supported in any manner.

C. Greenhill treated the problem of the centrifugal whirling of an unloaded shaft with different supporting conditions in a paper On the Strength of Shafting exposed both to torsion and to end thrust, Proc. Inst.

I28.* The Connecting Rod Problem.A particular problem of practical importance is tbe determination of the force producing the motion of the connecting rod of a steam-engine mechanism of the usual type.

The force F acts in this line, and thus the problem is completely solved.

The problem that now lay before the successful invaders was how to deal with the indigenous people, probably vastly outnumbering them, without losing their own racial identity.

Three years later the triumph of the Jacobins brought with it the " abolition of Christianity," and a spell of violent persecution, which gradually slackened under the Directory (1795-99) In 1799 Napoleon became First Consul, and at once set himself to deal with the ecclesiastical problem.

To suppose that the young statesman learned his frigid statecraft in Spain would be perhaps too simple a solution of the problem offered by his character, and scarcely fair to the Italian proficients in perfidy.

From this question there emerges a second and more difficult problem.

Kant practically abandons the problem.

Since Kant there are, therefore, two streams of dualism, dealing, one with the radical problem of the relation between mind and matter, the other with the relation between the pure rational and the empirical elements within consciousness.

To the first problem there is one obvious and conclusive answer, namely that matter in itself is inherently unthinkable and comes within the vision of the mind only as an intellectual presentation.

To the second problem there are two main answers, that of Associationism which denies to the mind any a priori existence and asserts that sensation is the only source of knowledge, and that which admits the existence of both transcendental and empirical knowledge.

He had to solve a more difficult problem than St Elizabeth's; for the skeletons of little children, ranging in age from two months to seven years, had now been found buried with the sacred virgins.

The first problem on this side of expenditure is the due balancing of outlay by income.

Edison in 1878 again attacked the problem of producing light by the incandescence of platinum.

On the whole, the question must be left open, and with it both the problem of the extension of the name Musri and Mizraim outside Egypt in the Assyrian and Hebrew records of this period and the true historical background of a number of the Isaianic prophecies.

This fruitful conception, however, Bacon does not work out; and though he uses the word cause, and identifies form with formal cause, yet it is perfectly apparent that the modern notions of cause as dynamical, and of nature as in a process of flow or development, are foreign to him, and that in his view of the ultimate problem of science, cause meant causa immanens, or underlying substance, effects were not consequents but manifestations, and nature was regarded in a purely statical aspect.

To this process he was led by his doctrine of forms, of which it is the necessary consequence; it is the infallible result of his view of science and its problem, and is as original as that is.

The whole logical or scientific problem is treated as if it were one of co-existence, to which in truth the method of exclusion is scarcely applicable, and the assumption is constantly made that each phenomenon has one and only one cause.'

There will still be room for the scientific use of the imagination and for the creative flashes of genius.3 If, then, Bacon himself made no contributions to science, if no discovery can be shown to be due to the use of his rules, if his method be logically defective, and the problem to which it was applied one from its nature incapable of adequate solution, it may not unreasonably be asked, How has he come to be looked upon as the great leader in the reformation of modern science?

This is part of that larger and pressing psychological problem of adjusting the " authority " ascribed to past writings to that of the collective human experience; it does not confront Judaism alone, and it must suffice to refer to the writings of " Reformed Judaism "; see, e.g.

Meanwhile philosophy was at work on the problem of the religious consciousness.

Assuming the words here, "as he is only a valet," to refer to Dauger, and taking into account the employment of Dauger from 1675 to 1680 as Fouquet's valet, Mr Lang now obtains a solution of the problem of why a mere valet should be a political Funck-Brentano argues that "un ancien prisonnier qu'il avait a Pignerol" (du Junca's words) cannot apply to Dauger, because then du Junca would have added "et a Exiles."

Lastly, with De Bonald, he reduced the problem of the origin of society to that of the origin of language, and held that language was a divine gift.

The exasperation of the majority of the country at his policy, and the indignation aroused by his treatment of the Dalmatians in Rome, as well as his failure to secure a settlement of the Adriatic problem, led to his fall in June 1920, thus leaving the way open for the return of Giolitti.

The problem is complicated by the possibility that during the ages over which the references can range many changes of fortune could have occurred.

He studied the nature of muscular contraction, causing a muscle to record its movements on a smoked glass plate, and he worked out the problem of the velocity of the nervous impulse both in the motor nerves of the frog and in the sensory nerves of man.

Fitzgerald was the first to attempt to measure the length of electric waves; Helmholtz put the problem into the hands of his favourite pupil, Heinrich Hertz, and the latter finally gave an experimental demonstration of electromagnetic waves, the "Hertzian waves," on which wireless telegraphy depends, and the velocity of which is the same as that of light.

To get at this reality and thus to reach a standpoint higher than that of aetiology was the problem of his as of all philosophy.

And this doctrine was generally understood to mean that human thought, limited as it was by its own weakness and acquired habits, could hardly hope to cope successfully with the problem of apprehending the real things.

Science, he reminds us, is based on final inexplicabilities; and its attempts by theories of evolution to find an historical origin for humanity in rudimentary matter show a misconception of the problem.

The new president showed admirable tact in dealing with the difficult problem he was called upon to face.

In addition to her numerous free-thought pamphlets and a large number of later works on theosophy, she published her Autobiography in 1893, The Religious Problem in India (1902) and other books.

The images of the Gauss theory being of the third order, the next problem is to obtain an image of 5th order, or to make the coefficients of the powers of 3rd degree zero.

The existence of an optical system, which reproduces absolutely a finite plane on another with pencils of finite aperture, is doubtful; but practical systems solve this problem with an accuracy which mostly suffices for the special purpose of each species of instrument.

The problem of finding a system which reproduces a given object upon a given plane with given magnification (in so far as aberrations must be taken into account) could be dealt with by means of the approximation theory; in most cases, however, the analytical difficulties are too great.

Details of the long critical discussion of this problem cannot be given here.

Oyster culture can evidently be carried on only by private enterprise, and the problem for legislation to solve is how to give such rights of property upon those shores which are favourable to oyster culture as may encourage competent persons to invest their money in that undertaking.

As something like 90% 'of the days in the year have, during the course of centuries, been allotted to some saint or other, it is easy to see how this section of the Breviary has encroached upon the Proprium de Tempore, and this is the chief problem that confronts any who are concerned for a revision of the Breviary.

Bohemund, the younger brother of Raymund, had succeeded the last count of Tripoli in the possession of that county, 1187; and the problem which occupied the last years of Bohemund III.

To these conflicting tendencies were probably due his self-contradictions on the problem of original sin and the conflicting claims of feeling and reason.

Butler could strengthen his argument only by bringing forward prominently the absolute requirements of the ethical consciousness, in which case he would have approximated to Kant's position with regard to this very problem.

But the deism of the ¶7th century is a phase of thought that has no living reality now, and the whole aspect of the religious problem has been completely changed.

But the great problem with which he had to deal was the progress of the atabeg Zengi of Mosul.

A considerable portion of the work is devoted to a study of taxation, which requires to be considered as a part of the problem of distribution.

The strategical position of Great Britain in Baluchistan is a very important factor in the problem of maintaining order and good administration in the country.

The analogues therefore of metaphysical problems must be sought in physics; particularly that problem of the causes of things for which the Platonic idea and the Peripatetic " constitutive form " had been, each in its turn, received solutions.

The religious problem had peculiar interest for the school which discerned God everywhere as the ruler and upholder,.

The hatching of eggs, whether of fresh-water or salt-water fishes, presents no serious difficulties, if suitable apparatus is employed; but the rearing of fry to an advanced stage, without serious losses, is less easy, and in the case of sea-fishes with pelagic eggs, the larvae of which are exceedingly small and tender, is still an unsolved problem, although recent work, carried out at the Plymouth laboratory of the Marine Biological Association, is at least promising.

The most exact investigations bearing upon this problem are those which have been recently undertaken in Norway in connexion with the cod-hatching operations at Arendal under Captain Dannevig.

Such a theory, however, is excluded by the existence of even greater differences of style and matter, so that the main problem to be decided is whether Ezekiel is prior to H or vice versa.

The problem is to make the sum of the interfacial tensions a minimum, each tension being proportional to the square of the difference of densities of the two contiguous liquids in question.

But The Truth Is That A Complete Solution Of The Statical Problem For All Forms Up To That At Which Instability Sets In, Would Not Suffice For The Present Purpose.

But Although A Complete Solution Of The Dynamical Problem Is Impracticable, Much Interesting Information May Be Obtained From The Principle Of Dynamical Similarity.

Now that the length of a division has been estimated a priori, it is perhaps preferable to reverse Plateau's calculation, and to exhibit the frequency of vibration in terms of the other data of the problem.

The transverse vibrations of non-circular jets allow us to solve a problem which at first sight would appear to be of great difficulty.

The question of the existence of a nucleus in the bacteria is one that has led to much discussion and is a problem of some difficulty.

These facts show the great difficulty of the problem, which is probably insoluble by present methods of analysis; the only test, in fact, for the existence of a toxin is its physiological effect.

He contributed little to the solution of the problem, but forced the investigation of the canon alike on theologians and the reading public. Again, he sketched a view of early church history, further worked out by Johann Salomo Semler (1725-1791), and surprisingly like that which was later elaborated by the Tubingen school.

The solution of this problem has recently been attempted by Sir Norman Lockyer (Stonehenge and other British Stone Monuments), who calculates that on midsummer day, 1680 B.C., the sun would rise exactly over the Friar's Heel, and in a direct line with the axis of the temple and "avenue."

As a theologian and as a patriot, he is confronted with the problem of Israel's collective repudiation of a boon to which their own history, as he read it, clearly pointed.

This dispute would have little interest now, had not Hincmar appealed to John Scotus Erigena, who attempted to solve the theological problem by philosophical conceptions.

The problem now is the reconciliation of human freedom with divine foreknowledge.

Others hold the problem to be insoluble, and not needing to be solved.

Some parts of it lay below high-water mark on the Hugli, and its low level throughout rendered its drainage a most difficult problem.

He solved the problem of finding the point in a convex mirror at which a ray coming from one given point shall be reflected to another given point.

For long these people formed a difficult problem to the British government.

His speciality was an intimate acquaintance with the problem of railway rates in connexion with the general economic development of the country, and in 1884 he published a work on the subject which attracted some attention in the official world.

This conception of the self belongs mainly to metaphysics and involves the whole problem of the relation between subject and object, the nature of reality, and the possibility of knowledge of self and of object.

The ordinary idea of the self as a physical entity, obviously separate from others, takes no account of the problem as to how and in what sense the individual is conscious of himself; what is the relation between subject and object in the phenomenon of self-consciousness, in which the mind reflects upon itself both past and present ?

The zinc ores associated with the silver-lead long lay unutilized, as the problem of their separation from the associated rhodonite has only recently been overcome.

The Broken Hill Proprietary Company owns the principal mine, and at Port Pixie in the neighbouring colony of South Australia erected a complete smelting plant; the problem of the recovery of the zinc contents of the ore having been satisfactorily solved, the company made extensive additions to the plant already erected, and in 1906 the manufacture of spelter was undertaken.

About 1787 he was attracted to the urgent problem of manufacturing carbonate of soda from ordinary sea-salt.

A terrestrial habitat is less common, but the widely-distributed land Isopoda or woodlice and the land-crabs of tropical regions have solved the problem of adaptation to a subaerial life.

Kirchhoff's contributions to mathematical physics were numerous and important, his strength lying in his powers of stating a new physical problem in terms of mathematics, not merely in working out the solution after it had been so formulated.

Meanwhile the economists had themselves taken up the problem, and it was from them that the historians of to-day have learned it.

In order to make the problem of flight more intelligible, the lever formed by the wing is prolonged beyond the body (b), and to the root of the wing so extended the weight (w, w') is attached; x represents the universal joint by which the wing is attached to the body.

While, therefore, there is apparently no correspondence between the area of the wing and the animal to be raised, there is, except in the case of sailing insects, birds and bats, an unvarying relation as to the weight and number of oscillations; so that the problem of flight would seem to resolve itself into one of weight, power, velocity and small surfaces, versus buoyancy, debility, diminished speed and extensive surfaces - weight in either case being a sine qua non.

Largely with the view of studying the problem of maintaining equilibrium, several experimenters, including Otto Lilienthal, Percy Filcher and Octave Chanute, cultivated gliding flight by means of aeroplanes capable of sustaining a man.

The evaluation of the area of the curve had made Roberval famous in France, but Descartes considered that the value of his investigation had been grossly exaggerated; he declared the problem to be of an elementary nature and submitted a short and simple solution.

This problem was solved independently by Vicenzo Viviani in Italy.

The gravest problem of mining in the interior country, even graver than that presented by the climate, is transportation; in 1900 the Tanana fields, for example, were provisioned from Circle City, about 125 m.

A common problem has been how to reduce a state to submission or subordination while ostensibly preserving its independence or existence; to obtain power while escaping responsibility and the expenditure attending the establishment of a regular administration.

Springs also rise in the district, and the problem is further complicated by the flood-water and solid matter brought down by the mountain torrents, which choke up the channels made.

But, even granting that a certain obscurity still hangs undispelled over the problem of the old Avesta, with its twenty-one nasks, we may well believe the Parsees themselves, when they affirm that their sacred literature has passed through successive stages of decay, the last of which is represented by the present Avesta.

When the problem is considered in a rigorous form, it is found that no absolute limits can be set.

The problem of the origin of man cannot be properly discussed apart from the full problem of the origin of species.

The working out in detail of the problem, how far the differences among complex nations, such as those of Europe, may have been brought about by hybridity, is still, however, a task of almost hopeless intricacy.

The problem of ascertaining how the small number of races, distinct enough to be called primary, can have assumed their different types, has been for years the most disputed field of anthropology, the battle-ground of the rival schools of monogenists and polygenists.

The great problem of the monogenist theory is to explain by what course of variation the so different races of man have arisen from a single stock.

It would be premature to judge how far the problem of the origin of races may be capable of exact solution; but the experience gained since 1871 countenances Darwin's prophecy that before long the dispute between the monogenists and the polygenists would die a silent and unobserved death.

Since then, however, the problem has passed into a more manageable state.

Differences between crystals and organized bodies have no bearing on the problem of life, for organic substance must be compared with a liquid rather than with a crystal, and differs in structure no more from inorganic liquids than these do amongst themselves, and less than they differ from crystals.

The central position of the problem of life lies in the chemistry of proteid, and until that has been fully explored, we are unable to say that there is any problem of life behind the problem of proteid.

The real problem is as to the beginning and end of this epoch, which is divided into three periods of uneven length; viz.

The key to the problem lies undoubtedly in the last statement regarding the overthrow of the Messiah or Anointed One.

Cornill therefore adopted the only tenable theory regarding the problem; viz.

Gunther open completely new ground, and seem to be the correct solution of the problem.

Every fresh artistic problem immediately became for him a far-reaching scientific problem as well.

Philosophy corrects in this way the abstractions which are inevitably made by the scientific specialist, and may claim, therefore, to be the only "concrete" science, that is to say, the only science which takes account of all the elements in the problem, and the only science whose results can claim to be true in more than a provisional sense.

It has generally been considered, therefore, as constituting in a special sense the problem of philosophy.

He defined his problem as the quid juris or the question of the validity of knowledge, not its quid facti or the laws of the empirical genesis and evolution of intellection (to use Croom Robertson's phraseology).

Kant's problem is not, in its wording, very different from that which Locke set before him when he resolved to "inquire into the original, certainty and extent of human knowledge together with the grounds and degrees of belief, opinion and assent."

But appearing with these thinkers as the problem of perception, epistemology widens its scope and becomes, in Kant's hands, the question of the possibility of experience in general.

As it is matter of universal agreement that the problem of being must be attacked indirectly through the problem of knowledge, this substitution may be regarded as an advance, more especially as it implies that the fact of experience, or of self-conscious existence, is the chief fact to be dealt with.

No general solution of this problem is possible.

As practically attacked it consists in the problem of determining the perturbations or disturbances in the motion of one of the bodies around the principal or central body, produced by the attraction of the third.

The most important questions raised in a scientific view appear to be the misconception of the whole problem of local taxation by governments.

Altogether, the state offered a difficult civil and military problem throughout the Civil War.

The problem still awaits complete discussion.

He had already, before the opening of the Council, defined his personal attitude towards the dogmatic problem in two essays, Against the Gentiles and On the Incarnation, without, however, any special relation to the Arian controversy.

The railway problem in Colombia is one of peculiar difficulty.

In 1735 a problem proposed by the academy, for the solution of which several eminent mathematicians had demanded the space of some months, was solvecdby Euler in three days,but the effort threw him into a fever which endangered his life and deprived him of the use of his right eye.

At first Livingstone thought the Nile problem had been all but solved by Speke, Baker and Burton, but the idea grew upon him that the Nile sources must be sought farther south, and his last journey became in the end a forlorn hope in search of the "fountains" of Herodotus.

He investigated the problem by means of the general differential equations of static equilibrium for dams of triangular and rectangular form considered as isotropic elastic solids.

It is obvious that experiments of the kind referred to cannot take into account all the conditions of the problem met with in actual practice, such as the effect of the rock at the sides of the valley and variations of temperature, &c., but deviations in practice from the conditions which mathematical analyses or experiments assume are nearly always present.

This man was born of a Saivite family about 1825, but in early manhood grew dissatisfied with idolworship. He undertook many pilgrimages and studied the Vedic philosophy in the hope of solving the old problem of the Buddha, - how to alleviate human misery and attain final liberation.

Often a single letter of his occupied from fifty to a hundred or more closely written pages, all devoted to the minute consideration of every feature of some particular problem; for it was one of the peculiar characteristics of his mind never to be satisfied with a general understanding of a question; he pursued it until he knew it in all its details.

The critical problem is, however, complicated by certain phenomena of literary relationship?

It appears that Hooke professed to have a solution of the problem of the path of .a body moving round a centre of force attracting as the inverse square of the distance; but Halley, finding, after a delay of some months, that Hooke " had not been so good as his word " in showing his solution to Wren, started in the month of August 1684 for Cambridge to consult Newton on the subject.