Arises Sentence Examples
Each bud arises as a thickening of the epithelium, which.
There is no odor so bad as that which arises from goodness tainted.
Between them arises a median crest, which varies much in extent and composition, and is of considerable taxonomic value.
The acetabulum is completely surrounded by these three bones, but its cup always retains an open foramen; from its posterior rim arises the strong antitrochanter.
This arises mostly from the angle formed by the keel with the body of the sternum, passes by a strong tendon through the foramen triosseum, and is inserted upon the upper tubercle of the humeral crest, which it rotates and abducts.Advertisement
The flexor digitorum sublimis muscle arises fleshy from the long elastic band which extends from the inner humeral condyle along the ventral surface of the ulna to the ulnar carpal bone, over which the tendon runs to insert itself on the radial anterior side of the first phalanx of the second digit.
This, when fully developed, consists of two parts, but inserted by a single ribbon-like tendon upon the hinder surface of the femur, near the end of its first third; the caudal part, femoro-caudalis, expressed by Garrod by the symbol A, arises from transverse processes of the tail; the iliac part (accessorofemoro-caudal of Garrod, with the symbol B), arises mostly from the outer surface of the postacetabular ilium.
From near the entrance of the optic nerve, through the original choroidal fissure, arises the much-folded pecten, deeply pigmented and very vascular, far into the vitreous humour.
Birds possess an ear-muscle which at least acts as a tensor tympani; it arises near the occipital condyle, passes through a hole into the tympanic cavity, and its tendon is, in various ways, attached to the inside of the membrane and the neighbouring extracolumellar processes.
Hence arises Midrash, exposition, from darash to "investigate" a scriptural passage.Advertisement
Specifically Table Mountain is the mountain which arises behind Table Bay, in the Cape Peninsula, Cape Town lying at its seaward base and on its adjacent lower slopes.
When the road leads the train up an incline, however, the tractive force must be increased, so that the need for coupled wheels soon arises if the road is at all a heavy one.
The cessation of the rains on the southern border of Baluchistan, west of Karachi, obviously arises from the projection of the south-east coast of Arabia, which limits the breadth of the south-west monsoon air current and the length of the coast-line directly exposed to it.
From this vagina arises a narrow duct leading to the exterior.
Much advantage arises from the steam working of bastard fallows in summer, and after harvest a considerable amount of autumn cultivation can be done by steam power, thus materially lightening the work in the succeeding spring.Advertisement
From this fact arises the ground of political obligation, for the institutions of political or civic life are the concrete embodiment of moral ideas in terms of our day and generation.
Alongside of Mana rabba frequent mention is made of D'mutha, his "image," as a female power; the name "image of the father" arises out of the same conception as that which gives rise to the name of 'vvota among the Greek Gnostics.
A median process, known as the hypopharynx or tongue, arises from the floor of the mouth in front of the labium, and becomes most variously developed or specialized in different insects.
Lecaillon (1898) on various leaf beetles, tend to show that the organ " in the embryos of the lower Arthropoda corresponds with whole of the " mid-gut " arises from the proliferation of cells at the the region invaginated to form the serosa of the hexapod embryo.
He finds that the endoderm arises may be readily distinguished, six of which subsequently enter into from an anterior and a posterior rudiment derived from the " endothe formation of the head, three going to the thorax and twelve to blast," that many of the cells of these rudiments wander into the the abdomen.Advertisement
This latter, as well as the heart and the walls of the blood spaces, arises by the modification of mesodermal cells, and the body cavity is formed by the enlargement and coalescence of the blood channels and by the splitting of the fat body.
The ejaculatory duct which opens on the ninth abdominal sternum in the adult male arises in the tenth abdominal embryonic segment and subsequently moves forward.
The only doubt arises from the existence of insect remains, referred to the order Coleoptera, in the Silesian Culm of Steinkunzendorf near Reichenbach.
Such customary tenant right only arises at the expiration of the lease, and on the substantial performance of the covenants; and is forfeited if the tenant abandons his tenancy during the term.
The first question which arises is that of the relation of the kingdom of Jerusalem to the three counties or principalities of Antioch, Tripoli and Edessa, which acknowledged their dependence upon it.Advertisement
The first three orders, which have a double muscular layer, external circular and internal longitudinal, are sometimes grouped together as the Dimyaria; the Heteronemertini, in which a third coat of longitudinal muscles arises outside the circular layer, are then placed in a second branch, the Trimyaria.
The great difficulty which has been felt by investigators in determining the character and attributes of the god Baal mainly arises from the original.
But if we attend to the circumstances under which this theme arises, its purport and development become deep and natural.
Siegfried's whole character and career is, indeed, annihilated in the clumsy progress towards this consummation; but Shakespeare might have condoned worse plots for the sake of so noble a result; and indeed Wagner's awkwardness arises mainly from fear of committing oversights.
An interesting question arises as to the accuracy of the different measurements given by Pliny.
This contradiction arises from considering the class possessing as members all classes which are not members of themselves.
It may also be stated here that when occasion arises peachtrees well furnished with buds may be transplanted and forced immediately without risking the crop of fruit, a matter of some importance when, as sometimes happens, a tree may accidentally fail.
Since there are many species which do not possess these genital pleurae, the question arises as to whether their presence or their absence is the more primitive condition.
Minute cracks are sometimes produced by the contraction; they are often more or less straight, but in other cases a very perfect system of rounded fissures arises.
Even if this be so, the question arises, what vestments were prescribed in the Prayer Book of 1 549 ?
This arises chiefly from the orographical structure; the vast plateau of Central Asia prevents the moderating influence of the sea from being felt.
This arises from the circumstance that the general operator Ao,a0aa1 + ialaa2 + 2a2 a 3 +...
If we restrict ourselves to this set of symbols we can uniquely pass from a product of real coefficients to the symbolic representations of such product, but we cannot, uniquely, from the symbols recover the real form, This is clear because we can write n-1 n-2 2 2n-3 3 a1a2 =a l a 2, a 1 a 2 = a 1 a2 while the same product of umbrae arises from n n-3 3 2n-3 3 aoa 3 = a l .a a 2 = a a 2 .
If, however, we specify that all forms are to be rational, but not necessarily integral functions, a new system of forms arises which is easily obtainable.
This anachronism arises from the fusion of the epic Guillaume with the champion of Louis IV., and from the fact that he was the military and civil chief of Louis the Pious, who was titular king of Aquitaine under his father from the time when he was three years old.
A tolerably evident shortcoming of such a doctrine is that, while declaring the quantitative determination of matter to be the individual element in the individual, it gives no account of how such quantitative determination arises.
Apart from this general question, a difficulty arises on the Thomist theory in regard to the existence of spirits or disembodied personalities.
Since the limitation of the width of the central band in the image of a luminous line depends upon discrepancies of phase among the secondary waves, and since the discrepancy is greatest for the waves which come from the edges of the aperture, the question arises how far the operation of the central parts of the aperture is advantageous.
In the former case the function of the telescope is simply to increase the dispersion, and the formation of the bands is of course independent of the particular manner in which the dispersion arises.
The question arises whether we have to do with the various tribes of one race in different stages of civilization, or with a mixed population called by foreigners after the ruling tribe.
The main difficulty in the reading of Babylonian and Assyrian proper names arises from the preference given to the " ideographic " method of writing them.
This double method of writing words arises from the circumstance that the cuneiform syllabary is of non-Semitic origin, the system being derived from the non-Semitic settlers of the Euphrates valley, commonly termed Sumerians (or Sumero-Akkadians), to whom, as the earlier settlers, the origin of the cuneiform script is due.
A peculiar difficulty arises in the case of the god of storms, who, written IM, was generally known in Babylonia as Ramman, " the thunderer," whereas in Assyria he also had the designation Adad.
In the Philosophy of the Practical, but more especially in the work entitled What is living and what is dead of the Philosophy of Hegel Croce criticizes the erroneous treatment of the opposites, and shows that on the contrary every opposition has at bottom a distinction from which it arises, and that therefore the true unity is unity-distinction, which is development and, as such, opposition that is continuously surpassed and continually re-appearing to be again surpassed.
Another important conception connected with the preceding is the infinity of philosophy, which arises out of history and is as it were a reflection from history, varying at every moment and always solving a problem by placing alongside its solution the premise of a new history and therefore of a new problem and a new philosophy.
This fact gave rise in ancient times to the false idea that the tapeworm originated from the union of these segments; and in modern times it has led to the view that the tapeworm is not a segmented organism (the monozoic view), but is a colony composed of the scolex which arises from the embryo and of the proglottides, which are asexually produced buds that, upon or before attaining their full size and maturity, become separated, grow, and, in some cases, live freely for a time, just as the segments of a strobilating jelly-fish grow, separate and become sexual individuals (the polyzoic view).
Frederick's importance as an historical figure arises from his having obtained the electorate of Saxe-Wittenberg for the house of Wettin, and transformed the margraviate of Meissen into the territory which afterwards became the kingdom of Saxony.
In Egypt 30% of the natives are affected by haematuria which arises from congestion of the bladder consequent upon the attacks of this animal.
From the egg a larva arises.
Natural arrest of haemorrhage arises from (I) the coagulation of the blood itself, (2) the diminution of the heart's action as in fainting, (3) changes taking place in the cut vessel causing its retraction and contraction.
With this may be compared a passage in the Ursprung der Sprache, where there is a curious adumbration of Spencer's idea that intelligence, as distinguished from instinct, arises from a growing complexity of action, or, to use Herder's words, from the substitution of a more for a less contracted sphere.
This arises from the pronunciation of u as yu, and does not affect the English dialects which have not thus modified the u sound.
It is not necessary in illustration of the second type of heresy - that which arises when the contents of the Christian faith are being defined - to refer to the doctrinal controversies of the middle ages.
If, however, we defined the strength of the source by the statement that the strength divided 1 The beginner is often puzzled by the constant appearance of the factor 47r in electrical theorems. It arises from the manner in which the unit quantity of electricity is defined.
One of the greatest difficulties in the treatment of gold by amalgamation, and more particularly in the treatment of pyrites, arises from the so-called " sickening " or " flouring " of the mercury; that is, the particles, losing their bright metallic surfaces, are no longer capable of coalescing with or taking up other metals.
Its fragmentary character arises from the fact that it is simply a collection of variae lectiones and additions to the version of Onkelos, intended possibly for use at public services.'
In the chronicles of the middle ages much uncertainty frequently arises respecting dates on account of the different epochs assumed for the beginning of the Christian year.
The most important part, however, which this type of instrument seems to have played in the history of astronomy arises from the fact that one of them was in the possession of Bessel at Konigsberg during the time when his new observatory there was being built.
No prayer arises within his work on their behalf, and nothing but unalloyed triumph is displayed over their doom.
This accident generally arises from an improper size of pillars; some roofs, however, are so difficult to support that sits take place where the half of the coal is left in pillars.
It arises mainly in statistics, when the ordinate of the trapezette represents the relative frequency of occurrence of the magnitude represented by the abscissa x; the magnitude of the abscissa corresponding to the median ordinate is then the " median value of x."
The question then arises whether, by removing the limitation as to the position of the ordinates, we can reduce their number.
As sound arises in general from vibrating bodies, as it takes time to travel, and as the medium which carries it does not on the whole travel forward, but subsides into its original position when the sound has passed, we are forced to conclude that the disturbance is of the wave kind, We can at once gather some idea of the nature of sound waves in air by considering how they are produced by a bell.
A musical note always arises from a source which has some regularity of vibration, and which sends equally-spaced waves into the air.
The superiority of this arrangement arises from the comparative facility with which the number of revolutions of the cylinder in a given time may be ascertained.
The difficulty arises from a confusion between the spheres of phenomena and noumena.
But here arises a difficulty.
A fundamental difference in girder bridges arises from the mode of support.
This is one of the chief manufacturing centres in the United Kingdom, and the name arises from the effect of numerous collieries and furnaces, which darken the face of the district, the buildings and the atmosphere.
The problem thus arises, Can we form a consistent notion of such a connecting medium?
An important question arises whether, when a material body is moved through the aether, the nucleus of each atom carries some of the surrounding aether along with it; or whether it practically only carries on its strain-form or physical atmosphere, which is transferred from one portion of aether to another after the manner of a shadow, or rather like a loose knot which can slip along a rope without the rope being required to go with it.
True electric current arises solely from convection of the atomic charges or electrons; this current is therefore not restricted as to form in any way.
The climate is by nature unhealthy, the supply of running water being small, and that of stagnant water, from which arises a fatal malaria, being considerable.
Hume's scepticism thus really arises from his thoroughgoing empiricism.
The theodicea of the prophets is national; they see Yahweh's righteousness working itself out with unmistakable clearness in the present, and know that all that He brings upon Israel is manifestly just; but from the days of Jeremiah' the fortunes of Israel as a nation are no longer the one thing which religion has to explain; the greater question arises of a theory of the divine purpose which shall justify the ways of God with individual men or with His "righteous servant" - that is, with the ideal community of true faith as distinct from the natural Israel.
Profit arises as soon as stock, being accumulated in the hands of one person, is employed by him in setting others to work, and supplying them with materials and subsistence, in order to make a gain by what they produce.
Rent arises as soon as the land of a country has all become private property; "the landlords, like all other men, love to reap where they never sowed, and demand a rent even for its natural produce."
In what are commonly called loans of money, it is not really the money, but the money's worth, that the borrower wants; and the lender really assigns to him the right to a certain portion of the annual produce of the land and labour of the country, As the general capital of a country increases, so also does the particular portion of it from which the possessors wish to derive a revenue without being at the trouble of employing it themselves, and, as the quantity of stock thus available for loans is augmented, the interest diminishes, not merely "from the general causes which make the market price of things commonly diminish as their quantity increases," but because, with the increase of capital, "it becomes gradually more and more difficult to find within the country a profitable method of employing any new capital" - whence arises a competition between different capitals, and a lowering of profits, which must diminish the price which can be paid for the use of capital, or in other words the rate of interest.
It should be borne in mind, first, that wherever a new animal suddenly appears or a new character suddenly arises in a fossil horizon we must consider whether such appearance may be due to the non-discovery of transitional links with older forms, or to the sudden invasion of a new type or new organ which has gradually evolved elsewhere.
The net result of observation is not favourable to the essentially Darwinian view that the adaptive arises out of the fortuitous by selection, but is rather favourable to the hypothesis of the existence of some quite unknown intrinsic law of life which we are at present totally unable to comprehend or even conceive.
And here the question arises, how it came about that in the Gnostic systems the Seven appear as subordinate, half-daemonic powers, or even completely as powers of darkness.
The income of the body arises from rents on property, customs and taxes.
Having gained the saddle, the necessity arises for seat and hands.
All other cases are left to the state courts, from which there is no appeal to the Federal courts, unless where some specific point arises which is affected by the Federal Constitution or a Federal law.
In rural districts little difficulty arises, because it is known what citizens belong to each party; but in cities, and especially in large cities, where men do not know their neighbors by sight, it becomes necessary to have regular lists of the party voters entitled to attend a primary; and these lists are either prepared and kept by the local party committee, or are settled by the votes of the persons previously on the party rolls.
The greater part of the debt arises from the assumption of the debts of the provinces as they entered federation, expenditure on canals and assistance given to railways.
Legitimate doubt arises when the evidence pro et contra of documental and intrinsic probability is equal, or nearly equal, or when documental probability points strongly to one side and intrinsic probability to another.
He immediately adds that, by the combination of these names with one another, affirmation or negation arises.
The question then arises, what sort of substance can be predicate; and in the Categories Aristotle gave an answer, which would have been impossible, if he had not, under Plato's influence, accepted both the unity and the substantiality of the universal.
But this lapse only shows how powerful a dominion Plato exercised over Aristotle's soul to the last; for it arises out of the pupil still accepting from hiAmaster the unity of the universal though now applying it, not to classes, but to essences.
This Rule Is Conveniently Expressed By The Formula (X 9) R, In Which X Denotes The Date, And The Symbol R Denotes That The Remainder, Which Arises From The Division Of X 9 By 28, Is The Number Required.
The Above Expression Must Therefore Be Diminished By The Number Of Units In 4, Or By () W (This Notation Being Used To Denote The Quotient, In A Whole Number, That Arises From Dividing X By 4).
Where the blast has to be kept up for only a few seconds, this instrument is quite serviceable, but in longer chemical operations inconvenience arises from the condensation of moisture exhaled by the lungs in the tube.
The divine archetypes, according to which sensible experience is regulated and in which it finds its real objectivity, are different in kind from mere sense ideas, and the question then arises whether in these we have not again the "things as they are," which Berkeley at first so contemptuously dismissed.
The difference between the coefficients o 97 and 1 17 arises from the refraction of the ray, but for which they would be equal.
The mesoderm arises for the most part from the endoderm.
The cleido-mastoid generally arises from the basi-occipital, and the pectoralis major is connected with the latissimus dorsi.
The third and last sub-family, the Pteromyinae, is distinguished from the other two by the presence of a parachute-like fold of skin along the sides of the body, the supporting cartilage of which arises from the carpus or wrist.
In the rodents now to be considered, the angular process of the lower jaw arises from the outer side of the sheath of the incisor.
When the pressure becomes very low, inconvenience arises owing to the difficulty of establishing the discharge.
The question arises whether in a vacuum discharge, in which only a comparatively small proportion of the molecules are affected, we are to take the average radiation of the affected portion or include the whole lot of molecules, which at any moment are not concerned in the discharge at all.
It arises from the ellipticity of the orbit, is zero at pericentre and apocentre, and reaches its greatest amount nearly midway between these points.
The study of Rhabdocoels (7) has led to the important discovery that the rudiment of the gonads and that of the pharynx are the first organs to appear, and that the alimentary sac arises independently of them.
This in all probability arises from their salubrious climate, and the comparative sterility of their soil rendering them dependent upon the cultivation of the ground for the yam, the arum, and the sweet potato, their chief articles of food.
As this point arises in connexion with so many tribes it is desirable to offer the evidence for it here once for all.
He holds that we pass without break from the phenomena of bodily life to the phenomena of mental life, that consciousness arises in the course of the living being's adaptation to its environment, and that there is a continuous evolution from reflex action through instinct and memory up to reason.
There is no satisfactory explanation of this break in the regular alternation of successive whorls; the outer whorl' of stamens arises in course of development before the inner, so that there is no question of subsequent displacement.
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.
Clavaria mucida, however, h a s apparently some claims to be considered as a Basidiolichen, since the base of the fruit body and the thallus from which it arises, according to Coker, always shows a mixture of hyphae and algae.
Delage has distinguished as multiplication those cases in which the new individual arises from a mass of cells which remain a part of the maternal tissues during differentiation, reserving the term reproduction for those cases in which the spore or cell which is the starting-point of the new individual begins by separating from the maternal tissues; but the distinction is inconvenient in practice and does not appear to carry with it any fundamental biological significance.
This unusual variation probably arises from early differences of opinion as to whether there was one Mark or more than one.
The necessity for this modification arises from the fact that such plants are subjected to conditions more or less unnatural to them, and that they are grown for special purposes which are at variance, in degree at any rate, with their natural requirements.
A simple gonaduct on each side arises from the gonad near its posterior end and passes first forwards, then backwards, and lastly outwards to the external opening in the pallial groove, anterior to the renal aperture.
A small stomatogastric commissure bearing two small ganglia arises from the cerebral ganglia and surrounds the oesophagus.
Such gums are formed abundantly in pycnidia, and, absorbing water, swell and carry out the spores in long tendrils, which emerge for days and dry as they reach the air, the glued spores gradually being set free by rain, wind, &c. In oidial chains (Sclerotinia) a minute double wedge of wall-substance arises in the middle lamella between each pair of contiguous oidia, and by its enlargement splits the separating lamella.
From each of the four segments in the case of Tremella a long outgrowth arises which reaches to the surface of the hymenium From Strasburger's Lehrbuch der Bolanik, by permission of Gustav Fischer.
In making castings of steel this same difficulty arises; and much of the steel-founder's skill consists either in preventing these pipes, or in so placing them that they shall not occur in the finished casting, or at least not in a harmful position.
The question frequently arises, not only for those interested in the production of fur apparel, but for those who derive so much comfort and pleasure from its use, whether the supply of fur-bearing animals is likely to be exhausted.
No question arises regarding the existence of the fact represented by the idea, and in so far, at least, mathematical judgments may be described as hypothetical.
Any exactitude attaching to the conclusions of geometrical reasoning arises from the comparative simplicity of the data for the primary judgments.
Modern philosophers seem inclined to think that personal identity arises from consciousness, and consciousness is nothing but a reflected thought or perception.
Senna has separate leaves attached to it, but it is considered properly as one leaf, because in its earliest state it arises from the axis as a single piece, and its subsequent divisions in the form of leaflets are all in one plane.
From the centre of the tuft ultimately arises a tall flower-bearing stem, 5 to 15 ft.
An additional difficulty arises in the case of observations made with long mercury thermometers buried in vertical holes, that the correction for the expansion of the liquid in the long stems is uncertain, and that the holes may serve as channels for percolation, and thus lead to exceptionally high values.
This arises partly from the latter, relating in certain instances to an earlier period, and partly from the fact 48?
The increase in consumption there has been so small that it probably arises mainly from the increasing number of English and English-colonial visitors that spend portions of each year in the country.
This occurs with clear water as well as with turbid, and obviously arises mainly from the loss of plant food which occurs when water filters through or trickles over poor soil.
The second difficulty arises later and is due to the connection of Germany with the Empire.
This multiplicity of tribunals arises from the fact that, owing to the Capitulations, which apply to Egypt as part of the Turkish empire, foreigners are almost entirely exempt from the jurisdiction of the native courts.
The question arises from what point these regnal dates were calculated.
A potential branch or bud, either foliage or flower, is formed in the axil of each leaf; sometimes more than one bud arises, as for instance in the walnut, where two or three stand in vertical series above each leaf.
Except where it is terminal it arises, like the leaf-shoot, in the axil of a leaf, which is then known as a bract.
Occasionally, as in violet, a flower arises singly in the axil of an ordinary foliage-leaf; it is then termed axillary.
By the segmentation of the fertilized egg, now invested by cell-membrane, the embryo-plant arises.
In Dicotyledons the shoot of the embryo is wholly derived from the terminal cell of the pro-embryo, from the next cell the root arises, and the remaining ones form the suspensor.
It arises from a general awakening to the fact that the growth of our psychological and biological knowledge must profoundly transform the traditional epistemology.
Their political influence, again, which arises from the fusion of private and political law in Koran and Sunna, is highly inconvenient to the state, and often becomes intolerable now that relations with Western states are multiplied.
It arises from the fact that algae, as generally understood, do not constitute a homogeneous group, suggesting a descent from a common stock.
The cells of the filament may be all alike, and growth may occur equally in all parts (Oscillatoriaceae); or certain cells (heterocysts) may become marked off by their larger size and the transparency of their contents; in which case growth may still be distributed equally throughout (Nostoc), or the filament may be attached where the heterocyst arises, and grow out at the opposite extremity into a fine hair (Rivulariaceae).
In such a case the zoogamete is male, is called an antherozoid or spermatozoid, and arises in an antheridium; the larger gamete is an oosphere and arises in an oogonium.
It is held that in Coleochaete a parenchyma results from the division of the oospore, from each cell of which a zoospore arises.
In Fucus vesiculosus they arise in lateral pairs; in Ascophyllum they are single and median; in Macrocystis one vesicle arises at the base of each thallus segment; in Sargassum and Halidrys the vesicles arise on special branches.
In other species of that genus an apparent cortication arises by the downward growth of rhizoids, which are retained within the gelatinous wall of the axial cells.
In the Gigartinales it is already differentiated previous to fertilization; in Rhodymeniales it arises subsequent to fertilization.
This arises partly, no doubt, from the fact that the perception has clear localization, which the image has not.
The question arises whether this depression affected only the area of the midland valley, or extended also to the regions to the north and south; and so far as the evidence goes there is ground for the inference that, while the depression had its maximum along the line of the lowlands, it also involved some portion at least of the high grounds on either side.
This conflict arises not only from naturalization having been granted without the corresponding expatriation having been permitted, but also from the fact that birth on the soil was the leading determinant of nationality by feudal law, and still is so by the laws of England and the United States (jus soli), while the nationality of the father is its leading determinant in those countries which have accepted Roman principles of jurisprudence (jus sanguinis).
And gladness springs up within him on his realizing that, and joy arises to him thus gladdened, and so rejoicing all his frame becomes at ease, and being thus at ease he is filled with a sense of peace, and in that peace his heart is stayed."9 To have realized the Truths, and traversed the Path; to have broken the Bonds, put an end to the Intoxications, and got rid of the Hindrances, is to have attained the ideal, the Fruit, as it is called, of Arahatship. One might fill columns with the praises, many of them among the most beautiful passages in Pali poetry and prose, lavished on this condition of mind, the state of the man made perfect according to the Buddhist faith.
It has often been said that he commenced and frequently practised as an illuminator; this is dubious and a presumption arises that illuminations executed by Giovanni's brother, Benedetto, also a Dominican, who died in 1448, have been ascribed to the more famous artist.
The great difficulty of satisfactory comparison arises from the fact that few of the Beber dialects possess any writings.
But they held, and still hold that sensation and conception are alike mere apprehensions, and that the belief that things are or are not arises somehow after sensation and conception in judgment, from which it passes into inference.
It may, perhaps, be accounted to Hume for righteousness that he declares - whether consistently or not is another matter - that " the same effect never arises but from the same cause," and that he still follows Bacon in the conception of absentia in proximo.
A situation involving a need of adaptation to environment arises and the problem it sets must be solved that the will may control environment and be justified by success.
This objection to the air-engine arises from the fact that the heat comes to it from external combustion; it disappears when internal combustion is resorted to; that is to say, when the heat is generated within the envelope containing the working air, by the combustion there of gaseous or other fuel.
An historical survey shows, indeed, that theosophy generally arises in connexion with religious needs, and is the expression of religious convictions or aspirations.
The difference has been productive of no other inconvenience than arises from the variation of a month in the celebration of the festivals.
But soon a storm arises, and, supplication to the gods failing, the sailors cast lots to discover the guilty man who has brought this great trouble.
The strongest argument for the derivation from the Latin alphabet is undoubtedly the value of f attaching to P; for, as we have seen, the Greek value of this symbol is w, and its value as f arises only by abbreviation from FH.
To find the pressure exerted by a bar AB on the pin A we compound with the force in AB given by the diagram a force equal to P. Conversely, to find the pressure of the pin A on the bar AB we must compound with the force given by the diagram a force equal and opposite to P. This question arises in practice in the theory of three-jointed structures; for the purpose in hand such a structure is sufficiently represented by two bars AB, BC. The right-hand figure represents a portion of the force-diagram; in particular ZX represents the pressure of AB on B
The former case arises when two of the principal moments are equal; this has been sufficiently dealt with in 19.
Stiffness of Ropes.Ropes offer a resistance to being bent, and, when bent, to being straightened again, which arises from the mutual friction of their fibres.
Either is enough to fill the space in Homer's canvas; and the suspicion arises (as when two Platonic dialogues bear the same name) that if either had been genuine, the other would not have come into existence.
The vestibule of the mouth is the space bounded by the oral hood; this arises by secondary downgrowth of lid-like folds over the true oral aperture, and is provided with a fringe of tentacular cirri, each of which is supported by a solid skeletal axis.
The error in the original return generally arises from ignorance.
General average arises when sacrifices have been made, or expenditures incurred, for the preservation of the ship, cargo and freight, from some peril of the sea or from its effects.
G.A., on the English view, only arises where the safety of the several interests is at stake.
The postulate of an Evil Being arises from the difficulty, at all times acutely felt by a certain type of mind, of reconciling the existence of evil with the divine attributes of perfect goodness, full knowledge and infinite power.
Happiness arises from the rewards of virtue.
When he has reached the stage of reflection there arises what we know as conscience.
It arises out of the combination of two principles, neither of which is atheistic taken separately, i.e.
This has been since designated as polyzoism or panthelism or panvitalism, 2 and represents the obscure undifferentiated groundwork out of which Tylor's Animism arises.
The difference arises from the fact that the Commonwealth is a federation of states; whereas the Union of South Africa is but one state with but one Supreme Court.
This arises from its adhesion to the tube, and the upper part of the mercury sustains a considerable tension, or negative pressure, without the separation of its parts.
The actual force between the particles arises in part from their mutual gravitation, which is inversely as the square of the distance.
The pressure at any point of the liquid arises from two causes, the external pressure P to which the liquid is subjected, and the pressure arising from the mutual attraction of its molecules.
The motion of small pieces of camphor floating on water arises from the gradual solution of the camphor.
When the resolution is effected in a perfectly periodic manner, each drop is in the same phase of its vibration as it passes through a given point of space; and thence arises the remarkable appearance of alternate swellings and contractions described by Savart.
A question arises as to the mode of action of milk or soap turbidity.
But the question at once arises, was the original Aramaic or Hebrew?
But the question of course arises, May not the epistle, in whole or in part, have originally been more of a treatise in epistolary form than at first sight appears?
This arises from Panurge's determination to marry - a determination, however, which is very half-hearted, and which leads him to consult a vast number of authorities, each giving occasion for satire of a more or less complicated kind.
The gonads are folds of the endoderm containing generative cells, and are primitively four in number, situated interradially, but each gonad may be divided into two by the partition which separates two adjacent lobes of the stomach, that is to say, by one of the areas of concrescence between exumbral and subumbral endoderm, whence arises a condition with eight gonads which is by no means uncommon.
The tentacles border a broad, flattened peristome, from the centre of which arises the hypostome with the mouth at its extremity; the hypostome is at first low, but soon becomes a projecting, chimney-like tube.
Each taeniola bears a strongly developed longitudinal muscle-band, stated by Claus and Chun to be developed from the endoderm, like the retractor muscles of the anthopolyp, but by other investigators it is affirmed that each retractor muscle of the scyphistoma arises from the lining of a funnel-shaped ectodermal ingrowth (" Septaltrichter ") growing down from the peristome inside each taeniola, in a manner similar to the infundibular cavities of Lucernaria, which in their turn are homologous with the sub f genital cavities of Scypho l A .` medusae.
The mesoblast of the cephalic (naupliar) region probably arises in connexion with the lips of the blastopore and consists of loosely-connected cells or mesenchyme.
The shell-gland is formed on the dorsal surface, and the mantle arises as two lateral lobes which afterwards unite by their ventral edges to form the tubular mantle of the adult.
The foot arises as a prominence on the ventral surface and grows forward, and at the end of five or six days the velum atrophies and the foot becomes the organ of locomotion; the animal then ceases to swim and sinks to the bottom.
This arises from the fact that water is much denser than air, and because water supports on its surface substances which fall through air.
This arises from the fact that bodies moving in air experience a minimum of resistance and occasion a maximum of displacement.
In the case of disqualification by absence, the same fines are payable as upon non-acceptance of office, and the same liability arises on resignation.
The county council must in any case make a payment towards the costs incurred by the district council, and if any difference arises as to the amount of it, it has to be settled by the Local Government Board.
The necessity for this provision arises because it sometimes happens that in a district otherwise rural there are some centres of population, hardly large enough to be constituted urban districts, which nevertheless require the same control as an urban district.
In the event of such discovery by them or of information given to them of the existence of any such nuisance, the district council are required to serve a notice requiring the abatement of the nuisance on the person by whose act, default or sufferance it arises or continues, or if such person cannot be found, on the owner or occupier of the premises at which the nuisance arises.
If the nuisance arises from the absence or defective construction of any structural convenience, or if there is no occupier of the premises, the notice must be served upon the owner.
The difficulty arises from the lack of Ell in the soil, some parts no less than io m.
It is in assigning to man his place in nature on psychological grounds that the greater difficulty arises.
The question then arises, how far the employment of different vocabularies, and that to a great extent on different grammatical principles, is compatible with similarity of the speakers' minds, or how far does diversity of speech indicate diversity of mental nature?
The difficulty now arises that between 537 and 171 there are only 366 years instead of the required number 434.
Here again the question arises as to whether the tax is a mere compulsory charge or payment for a service rendered.
It is commonly though not universally held that the difference between the white and yellow stars arises from their stages of development merely, and that the former represent the earlier stage.
Here again, as in the case of Aristaeus and Carneius, the question arises 3 Hence some have derived "Apollo" from aroXXi,vac, "to destroy."
Hence it arises that, in sand formations, only shallow wells or small boreholes are commonly found.
It is notorious among engineers that retaining walls designed in accordance with the well-known theory of conjugate pressures in earth are unnecessarily strong, and this arises mainly from the assumption that the earth is merely a loose granular mass without any such adhesion.
This is not an infrequent occurrence, and arises from the tendency on the part of manufacturers to make balances so extremely sensitive that they are on the verge of in - stability.
In the former case the young daughter zooid, with its corallum, arises wholly outside the cavity of the parent zooid, and the component parts of the young corallum, septa, theca, columella, &c., are formed anew in every individual produced.
The question arises whether Jesus Himself instituted baptism as a condition of entry into the Messianic kingdom.
It therefore arises in one or other of two ways, according as the unit or the number exists first in consciousness.
The transition is similar to that which arises in the case of geometrical measurement (§ 26), and it is an essential feature of all reasoning with regard to continuous quantity, such as we have to deal with in real life.
Simple interest arises where unpaid interest accumulates as a debt not itself bearing interest; but, if this debt bears interest, the total, i.e.
And here the question arises - Can we vindicate in a reflective or mediate process this spontaneous apprehension of reality?
The importance of the place arises from its command of the great north road from Egypt, Palestine and Damascus by the Orontes valley.
The first descent of the mighty artery from the Andes to the sea was made by Orellana in 1541, and the name Amazonas arises from the battle which he had with a tribe of Tapuya savages where the women of the tribe fought alongside the men, as was the custom among all of the Tapuyas.
This probably arises from the rivalry of the Spaniards and Portuguese.
A difficulty naturally arises with regard to the fact that in reptiles the occipital condyle by which the skull articulates with the vertebral column is single, although composed of three elements, whereas in amphibians and mammals the articulation is formed by a pair of condyles.
Its usefulness arises from its decimal or centesimal division, and the fact that to square chains make an acre.
A less threatening yet important possibility of modification arises out of the scientific study of the New Testament.
Sir William Hamilton's " philosophy of the unconditioned," and, Herbert Spencer's doctrine of the infinite " unknowable "); if it is argued that knowledge of a thing arises only from the recognition of its differences from other things (i.e.
The latter arises from a number of superficial cells, the cells destined to form the spores being derived from a single one of these.
After fertilization the embryo forms a short suspensor; the apex of the stem, with a leaf on each side of it, is first distinguishable; at the base of this is the foot; while the root arises on the farther side of the latter.
In the young spike, which arises when the leaf is still very small, a band of tissue derived from superficial cells is distinguishable along either side; this sporangiogenic band gives rise to the sporogenous groups, the sterile septa between them, and the outer walls of the sporangia.
The question then arises, " Wherein does this order or harmony precisely consist?"
For in answer to the question that immediately arises, How then are the sanctions of the moral rules which it will most conduce to the general happiness for men to observe, shown to be always adequate in the case of all the individuals whose observance is required ?
Similarly the conception of the self as a moral unity arises`naturally out of the impossibility of finding the summum bonum in a succession of transient states of consciousness such as hedonism for example postulates.
What ambiguity they possess arises from the ambiguity of morality itself.
For whatever may be the real character of the interrelation of moral and metaphysical first principles it is obvious that Taylor's own dissatisfaction with current moral principles arises from an inability to believe in their ultimate rationality, i.e.
And the need which most philosophers have felt for some philosophical foundation for morality arises, not from any desire to subordinate moral insight to speculative theory, but because the moral facts themselves are inexplicable except in the light of first principles which metaphysics alone can criticize.
Moreover, it is obvious that a great part of Taylor's quarrel with current moral ideals arises from the fact that they do not commend themselves to the moral judgment, i.e.
One characteristic of astronomy which tends to make its progress slow and continuous arises out of the general fact that, except in the case of motions to or from us, which can be determined by a single observation with the spectroscope, the motion of a heavenly body can be determined only by comparing its position at two different epochs.
The difference arises from the oblateness of the earth, and need not be considered here.
The motion of this centre, which arises from the attraction of the planet on the sun, need not be considered.
There are two forms of the plant, an annual and a biennial, which spring indifferently from the same crop of seed - the one growing on during summer to a height of from to 2 ft., and flowering and perfecting seed; the other producing the first season only a tuft of radical leaves, which disappear in winter, leaving under ground a thick fleshy root, from the crown of which arises in spring a branched flowering stem, usually much taller and more vigorous than the flowering stems of the annual plants.
The amount of retardation does not admit of accurate computation, owing to the uncertainty both as to the amount of the oceanic friction from which it arises and of the exact height and form of the tidal wave, the action of the moon on which produces the effect.
The most plausible explanation is that, like the discrepancy in the secular acceleration, the observed deviation is only apparent, and arises from slow fluctuations in the earth's rotation, and therefore in our measure of time produced by the motion of great masses of polar ice and the variability of the amount of snowfall on the great continents.
The similarity of the symptoms to those of cholera is very marked, but if the suspicion arises it can soon be cleared up by examining any of the secretions for arsenic. More rarely the poison seems to centre itself on the nerve centres, and gastro-intestinal symptoms may be almost or quite absent.
It is, however, still a question whether this really arises from a different mental constitution causing a natural capacity for entering into relations with man, or whether it may not be owing to their having been brought gradually into this condition by long-continued and persevering efforts when the need of their services was felt.
The only source of doubt as to the validity of the conclusion that this is really the zodiacal light arises from the possibility that, after the close of the ordinarily recognized twilight, there may be a faint illumination arising from the reflection of light by the very rare upper atmosphere, shown by the phenomena of meteors to extend some hundred miles or more above the earth's surface.
This case arises when the visual angle, under which the object appears, is approximately a minute of arc; it is due to the physiological construction of the retina, for the ends of nerve fibres, which receive the impression of light, have themselves a definite size.
The increase of the inclination of the principal rays, which arises with the microscope, influences the perception of the relief of the object.
According to the phase of the vibrations at this common point, the waves mutually strengthen or weaken their action, and there arises greater clearness or obscurity.
By choosing a somewhat broader diaphragm, so that the spectra of 1st order can pass the larger division, there arises in the one half of the field of view the image of the larger division, the other half being clear without any such structure.
It is a similar phenomenon to that which arises when a ray of sunlight falls into a darkened room.
In the lower focal plane of the eyepiece, at the spot where the real image which the objective forms of the object arises, a glass plate is introduced on which are two fine cross lines or even two very thin threads.
Nowadays the political consequence of Brunei largely arises from the existence there of valuable seams of coal, leased to the Sarawak government.
The term bract is properly applied to the leaf from which the primary floral axis, whether simple or branched, arises, while the leaves which arise on the axis between the bract and the outer envelope of the flower are bracteoles or bractlets.
The bract is not, however, the one from which the axis terminating in the flower arises, but is a bract produced upon it, and gives origin in its axil to a new axis, the basal portion FIG.
From the axil of this leaf, that is, between it and the primary axis a l arises a secondary axis a2, ending in a flower f 2, and producing a leaf about the middle.
Flowers become double by the multiplication of the parts of the corolline whorl; this arises in general from a metamorphosis of the stamens.
Sometimes a long funicle arises from a basal placenta, reaches the summit of the ovary, and there bending over suspends the ovule, as in Armeria (sea-pink); at other times the hilum appears to be in the middle, and the ovule becomes horizontal.
The western, which reaches an altitude of about io,000 ft., then ceases to exist as a continuous chain, there remaining only a short, high ridge, called by Edward Whymper the " Pacific range of the equator," and between this ridge and the crystalline Andean axis, the " avenue of volcanoes," to use his words, arises amidst majestic scenery.
The notion of contingency arises, according to Kant, from the fact that understanding and sense are distinct, that understanding does not determine the particular of sense, and, consequently, that the principle of the adaptation of the particular to our understanding is merely supplied by reason on account of the peculiarity or limited character of understanding.
But this, since it arises from the moral order as a unity grounded in the very essence of freedom and not accidentally instituted by external commands, establishes the teleology of nature on grounds which a priori must be inseparably connected with the inner possibility of things.
The natural vision is such that different central projections of the objects are communicated to both eyes; the difference of the two perspective representations arises from the fact that the projection centres are laterally separated by an interval about equal to the distance between the eyes (the inter-pupillary distance).
All patients with long-term catheters will develop a chronic bacteriuria; infection arises at the rate of about 5 - 10% per day.
Not only bodily elements arise and fall away, also what we call mind arises and falls away, each moment.
In order to overcome this serious bottleneck a need for reusable components arises in the system development.
A very definite sense of place arises from living within a Zodiacal constellation.
If an unforeseen contingency arises, the rules will reach a dead end.
The mechanisms by which nuclear hyperfine coupling arises for radicals in fluid solution should be understood.
The risk of infection chiefly arises from inhaling water droplets formed from a contaminated water supply.
Confusion often arises over the use of the term " corneal dystrophy " in dogs.
Hi, i`m fairly easygoing and takes life as it comes, although i can be single-minded when the need arises.
The question that arises is why the architecture of today ignores the solid groundwork or previous years?
The less common pain arises at the back of the heel where the Achilles tendon is attached to the heel bone.
Any unemployment is equilibrium unemployment and arises from labor market imperfections.
When alcohol arises as an issue in civil litigation it is usually regarded as incidental to a legal problem rather than central to it.
Once participants are contributing to the conference, a problem of mutual incomprehension arises.
The sorrow arises from the reality that destroys the illusion childhood innocence creates about life.
The difficulty arises because as I have described above, a large number of ship owners are now insolvent.
This arises from defects in insulin secretion, insulin secretion, insulin action or both.
Thus, the question arises what needs to be shown to establish that a biotechnological invention is capable of industrial application.
The question arises how an agreement between shareholders, outside the confines of a formal liquidation, can divest a company of its property?
The main difficulty arises from the rapidly varying magnetic fields which originate in a region of near-Earth space called the magnetosphere.
These features all indicate that DNT arises on a background of cortical malformation.
Superior vena caval obstruction often arises acutely and should be treated as an emergency.
Our perception of color arises from the presence of three types of retinal photoreceptors (cones) sensitive to different wavelengths of light.
Instead, the solving pleasure arises from tricky clues crossword puzzle solver and witty puns.
So the question arises of whether RCT has real-world empirical support.
After a single moment of seeing we enjoy what we have seen and then akusala citta rooted in attachment arises seven times.
What Madonna and others of her ilk do arises from their own sensuality and is carried by their charisma.
Confusion arises because some manufacturers make their " normal " knives serrated on the right of the blade - the left-handed side.
The serious question, therefore, arises whether a part-time sheriff should not be in a similar position.
If a redundancy situation arises, she must be offered a suitable alternative vacancy if one is available.
Any risk that there is arises from the occupation of the site by the illegal squatters.
I guess one of the issues that then arises is the personal dispositions of librarians, who are necessarily pretty studious and organized people.
One arises from procedures and jurisdictional boundaries affecting congressional subcommittees and committees and floor action.
Confusion in describing meniscal tears in the knee commonly arises because there are two kinds of cartilage in the knee.
The question then arises as to whether wolves living where livestock are plentiful all year round also show livestock toleration.
A problem arises when we wish to apply some transformation to the values stored in the map.
The aorta in turn, arises from the left ventricle which is the main pumping chamber of the heart.
Therefore, the question arises as to whether it is safe to walk in woodland frequented by wild boar.
Residual jitter can arises from uncorrected atmospheric turbulence as well as telescope wind shake.
Hence arises the compatibility of philosophy and theology which was the fundamental axiom of scholasticism, and the possibility of a Summa Theologiae, which is a Summa Philosophiae as well.
Such an imprisonment does not operate as a satisfaction or extinguishment of the debt, and no second order of commitment can be made against him for the same debt, although where the court has made an order or judgment for the payment of the debt by instalments a power of committal arises on default of payment of each instalment.
Being accustomed to gratify every sensation as it arises, they endure thirst, hunger, want of food and bodily discomfort badly.
From the open condition arises the closed condition very simply by closing up of the aperture of the pit.
If the germcells are differentiated, the offspring arises by syngamy or sexual union of the ordinary type between an ovum and spermatozoon, so-called fertilization of the ovum, or by parthenogenesis, i.e.
The development, on the contrary, shows unequivocally that the endodermlamella arises as a local coalescence of the endodermal linings of a primitively extensive gastral space.
The modern monistic doctrine, that all material things consist of sentient elements, and that consciousness arises through a combination of these, was a natural transformation of Leibnitz's theory.2 Lessing.
The camb-ium in the typical case, which is by far the most frequent, continues the primary differentiation of xylem and phloem in the desmogen strand (see above), or arises in the resting mesodesm or mesocycle and adds new (secondary) xylem and phloem to the primary tissues.
Thus arises the spirit of patriotism, a product of purely geographical conditions, thereby differing from the sentiment of loyalty, which is of racial origin.
The caud-ilio flexorius (semitendinosus of most authors) arises from the transverse processes of the tail, and from the distal half of the postacetabular ilium, thence passing as a broad ribbon to the popliteal region, where it splits into two portions.
Hence arises the conception of rights and duties which should be maintained by law, as opposed to those actually maintained; with the further consequence that it may become occasionally a moral duty to rebel against the state in the interest of the state itself, that is, in order better to subserve that end or function which constitutes the raison d'Ãªtre of the state.
Behind the labrum arises a process - the epipharynx - which in some blood-sucking insects becomes a formidable piercing-organ.
A special " sympathetic " system arises by paired nerves from the oesophageal connectives; these nerves unite, and send back a median recurrent nerve associated with ganglia on the gullet and crop, whence proceed cords to various parts of the digestive system.
On this view Wheeler, however, compares with the " dorsal organ " the peculiar the entire food-canal in most Hexapoda must be regarded as of extra embryonic membrane or indusium which he has observed ectodermal origin, the " endoblast " represents mesoderm only, between serosa and amnion in the embryo of the grasshopper and the median furrow whence it arises can be no longer compared Xiphidium.
The importance of this algebra arises from the fact that in terms of such complex numbers with this definition of multiplication the utmost generality of expression, to the exclusion of exceptional cases, can be obtained for theorems which occur in analogous forms, but complicated with exceptional cases, in the algebras of real numbers and of signed real numbers.
The difficulty first arises in elementary mensuration, where it is partly met by associating arithmetical and geometrical measurement with the cardinal and the ordinal aspects of number respectively (see Arithmetic).
Hence arises the imperative necessity of good cultivation by the planter, and of circumspection in the purchase and acceptance of canes on the part of the manufacturer.
The question at once arises, Can the simple historic faith be maintained without adding theological interpretations, those arid wastes of dogma in which the springs of faith and reverence run dry?
Each has a distinct number or name which marks its place in the cycle, and as this is generally given in referring to dates, along with the other chronological characters of the year, the ambiguity which arises from following a fluctuating or uncertain epoch is entirely obviated.
Hence arises the same number of successive impulses of the external air immediately in contact with the movable plate, which is thus thrown into a state of vibration at the rate of n for every revolution of the plate.
The question now arises whether the sensation produced by a periodic disturbance can be analysed in correspondence with this geometrical analysis.
The question thus arises whether, in electric attractions across apparently empty space and in gravitational attraction across the celestial regions, we are invited or required to make search for some similar method of continuous transmission of the physical effect, or whether we should rest content with an exact knowledge of the laws according to which one body affects mechanically another body at a distance.
As in the case of the similar power of the Federal judges, this is founded on no special commission, but arises out of the ordinary judicial function of expounding the law and discriminating between the fundamental law and laws of inferior authority (see post, 25).
He borrows from Kant's "rationalism " the hypothesis of a spontaneous activity of the subject with the deduction that knowledge begins from sense, but arises from understanding; and he accepts from Kant's metaphysical idealism the consequence that everything we perceive, experience and know about physical nature, and the bodies of which it consists, is phenomena, and not bodily things in themselves.
The difficulty which at this time presents itself in regard to the limits of the Fringillidae arises from our ignorance of the anatomical features, especially those of the head, possessed by many exotic forms.
The former arises when a filament in a sheath, either in consequence of growth in length beyond the capacity of the sheath to accommodate it, FIG.
Universal inference thus requires particular and universal conceptions as its condition; but, so far as it arises from sense, memory, experience, and involves generalization, it consists of judgments which do not consist of conceptions, but are beliefs in things existing beyond conception.
It is from a combination of these two meanings that the thieves' slang phrase "ringing the changes" arises; it denotes the various methods by which wrong change may be given or extracted, or counterfeit coin passed.
All living substance so far as is known at present (see Biogenesis) arises only from already existing living substance.
He argues that the people must have been then to the west of the great rivers, otherwise the dawn could not be addressed as one who "in shining light, before the wind arises, comes gleaming over the waters, making good paths."
Hume admits the difficulty that arises, especially in the case of the " artificial " virtues, such as justice, &c., from the undeniable fact that we praise them and blame their opposites without consciously reflecting on useful or pernicious consequences; but considers that this maybe explained as an effect of " education and acquired habits."
While imprisoned in the shed Pierre had learned not with his intellect but with his whole being, by life itself, that man is created for happiness, that happiness is within him, in the satisfaction of simple human needs, and that all unhappiness arises not from privation but from superfluity.
Origin Probably arises from the practice of eating pomegranates as a source of Vitamin C, to guard against scurvy on long sea voyages.
It arises in the estimation of entities such as the fundamental matrix, homography matrix, and the trifocal tensor, among others.