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generalized

Equations of motion in generalized co-ordinates.

62They may be called (in a generalized sense) the co-ordinates of the lamina.

32They may be called (in a generalized sense) the co-ordinates of the lamina.

32Though considered fantastic by many, it had secured fairly general acceptance in Germany in 1912, and was followed by the generalized theory in 1915.

34Many forms of animal sacrifice were found; the generalized account given above for Greece is true also for the Romans.

34Linete and Linet-wige, whence seems to have been corrupted the old Scottish "Lintquhit," and the modern northern English "Lintwhite" - originally a somewhat generalized bird's name, but latterly specialized for the Fringilla cannabina of Linnaeus, the Linota cannabina of recent ornithologists.

22The idea_can be generalized so as to have regard to ternary and higher forms each of the same order and of the same number of variables.

22Little is known of the form of the appendages in the lowest archaic Arachnida, but the tendency of those of the prosomatic somites has been (as in the Crustacea) to pass from a generalized bi-ramose or multi-ramose form to, that of uni-ramose antennae, chelae and walking legs.

22The method of "generalized coordinates," as it is now called, by which he attained this result, is the most brilliant achievement of the analytical method.

22This led to the idea of algebra as generalized arithmetic.

22It is true that we obtain this result by subtracting 3 from io by means of a subtractiontable (concrete or ideal); but this table merely gives the generalized results of a number of operations of addition or subtraction performed with concrete units.

22In the order of human knowledge the particular facts of experience come first and are the basis of generalized laws or causes (the Scholastic notiora nobis); but in the order of nature the latter rank first as the self-existent, fundamental truths of existence (notiora naturae).

22The result may be generalized into the statement that a frame has a critical form whenever a frame of the same structure can be designed with corresponding bars parallel, but without complete geometric similarity.

22Apart from that, the chief source of our error in this matter is due to the fact that in the historical accounts a whole series of innumerable, diverse, and petty events, such for instance as all those which led the French armies to Russia, is generalized into one event in accord with the result produced by that series of events.

22In all, there is a wonderful amount of specialization, though perhaps in a very straight line from generalized forms; but the affinity to Australian or Polynesian types is in many cases clearly traceable, and it cannot be supposed but that these last are of cognate origin with those of New Zealand.

23The generalized arrangement of the wing-nervure and the nature of the larva, which is less unlike the adult than in other beetles, distinguish this tribe as primitive, although the perfect insects are, in the more dominant families, distinctly specialized.

23These observations were generalized by J.

23On the other hand, if laws of social phenomena, empirically generalized from history, can, when once suggested, be affiliated to the known laws of human nature; if the direction actually taken by the developments and changes of human society, can be seen to be such as the properties of man and of his dwelling-place made antecedently probable, the empirical generalizations are raised into positive laws, and sociology becomes a science."

11maximus), has retained the slightly more generalized characters of the mammoth's contemporaries of more southern climes, E.

11The most generalized type is Coryphodon, representing the family Goryphodontidae, from the lower Eocene of Europe and North America, in which there were 44 teeth, and no horn-like excrescences on the long skull, while the femur had a third trochanter.

11They agree, for instance, with that family in the presence of a descending flange at the hinder end of each side of the lower jaw; but their dentition is of a more generalized type, comprising the full series of 44 teeth, among which the incisors and canines are of normal form, but specially enlarged, and developing roots in the usual manner.

11qr,, be the generalized coordinates of any dynamical system, and let pi, P2,

11The generalized formula is fxo u¢ (x)dx = Aq(xm) - where 0, A 2, ...

11Wittich in 1584 made known at Cassel the calculation of one case by this prosthaphaeresis; and Justus Byrgius proved it in such a manner that from his proof the extension to the solution of all triangles could be deduced.3 Clavius generalized the method in his treatise De astrolabio (1593), lib.

11Thus Huxley, with true prophetic instinct, found that the sum of primitive characters of all the higher placental mammals points to a stem form of a generalized insectivore type, a prophecy which has been fully confirmed by the latest research.

11More or less independently, Huxley, Kowalevsky and Cope restored the stem ancestor of the hoofed animals, or ungulates, a restoration which has been nearly fulfilled by the discovery, in 1873, of the generalized type Phenacodus of northern Wyoming.

11Thus the analysis of George Baur of the ancestral form of the lizards, mosasaurs, dinosaurs, crocodiles and phytosaurs led both to the generalized Palaeohatteria of the Permian and indirectly to the surviving Tuatera lizard of New Zealand.

11In mammals Sir William Flower pointed out that a generalized type of liver exists, from which that of any mammal may be derived by suppression or fusion of lobes.

11In tracing the lobulation of man's liver back to this generalized type, it is evident at once that his quadrate lobe does not correspond to any one generalized lobe, but is merely that part of the right central which lies between the gall bladder and the umbilical fissure.

11pology, Cambridge, 1904, p. 98), it is fairly clear that the human liver is formed, not by a suppression of any of the lobes of the generalized type, but by a fusion of those lobes and obliteration of certain fissures.

115) shows an abnormal human liver in the Anatomical Department of St Thomas's Hospital which reproduces the generalized type.

11- Human Liver showing a the primate liver, and among reversion to the generalized mamother things suggests the remalian type.

11The first figure is the generalized type, the second the male and the third the female specialized arrangements.

11C. Pickering, generalized by T.

11He generalized Weber's law in the form that sensation generally increases in intensity as the stimulus increases by a constant function of the previous stimulus; or increases in an arithmetical progression as the stimulus increases in a geometrical ratio; or increases by addition of the same amount as the stimulus increases by the same multiple; or increases as the logarithm of the stimulus.

11But the question of knowledge was never generalized by them, and their reply to Hume, therefore, remains partial and inadequate, while its effect is weakened by the uncritical assumption of principles which is a characteristic feature of their writings.

11Already before Alexander pan-hellenic feeling had in various ways overridden the internal divisions of the Greek race, but now, with the vast mingling of Greeks of all sorts in the newlyconquered lands, a generalized Greek culture in which the old local characteristics were merged, came to overspread the world.

11On the other hand, if laws of social phenomena, empirically generalized from history, can, when once suggested, be affiliated to the known laws of human nature; if the direction actually taken by the developments and changes of human society, can be seen to be such as the properties of man and of his dwelling-place made antecedently probable, the empirical generalizations are raised into positive laws, and sociology becomes a science."

11The most generalized type is Coryphodon, representing the family Goryphodontidae, from the lower Eocene of Europe and North America, in which there were 44 teeth, and no horn-like excrescences on the long skull, while the femur had a third trochanter.

11They agree, for instance, with that family in the presence of a descending flange at the hinder end of each side of the lower jaw; but their dentition is of a more generalized type, comprising the full series of 44 teeth, among which the incisors and canines are of normal form, but specially enlarged, and developing roots in the usual manner.

11The generalized formula is fxo u¢ (x)dx = Aq(xm) - where 0, A 2, ...

11Thus the analysis of George Baur of the ancestral form of the lizards, mosasaurs, dinosaurs, crocodiles and phytosaurs led both to the generalized Palaeohatteria of the Permian and indirectly to the surviving Tuatera lizard of New Zealand.

11In generalized biting insects, such as cockroaches and locusts (Orthoptera), the parts of a typical maxilla can be easily recognized in the labium.

12The head is usually connected with the thorax by a distinct membranous neck, strengthened in the more generalized orders with small chitinous plates (cervical sclerites).

12Taken in connexion with the likeness of the young among the more generalized orders to the adults, it indicates clearly a thysanuroid starting-point for the evolution of the hexapod orders.

12They could even discern dimly some generalized stock whence had descended whole groups that now differed strangely in habits and appearance - their discernment aided, may be, by some isolated form which yet retained undeniable traces of a primitive structure.

12In the author's concluding summary he remarks on the fact that, while the Odontolcae, as exhibited in Hesperornis, had teeth inserted in a continuous groove - a low and generalized character as shown by reptiles, they had, however, the strongly differentiated saddle-shaped vertebrae such as all modern birds possess.

12In the case of general maps on a smaller scale, the orographic features must be generalized by a skilful draughtsman and artist.

12The generalized view of angles and their measurement is treated in the article Trigonometry.

12Thus the condition in the Dermaptera is more primitive than in any other Pterygote order except the Ephemeroptera (Mayflies) which are still more generalized, the primitive mesodermal ducts (oviducts and vasa deferentia) opening by paired apertures as in the Crustacea.

12The groups of organisms utilized for zoning and correlation by different workers include brachiopods, pelecypods, cephalopods, corals, fishes and plants; and the results of the comparison of the faunas and floras of different areas where Carboniferous rocks occur are generalized in the table below.

12Schlosser has described remains of a large camel-like animal from China, with apparently generalized affinities, for which the name of Paracamelus is proposed.

12It should be added that this generalized animal is not unfrequently classed among the ancestral pigs, but its cameline affinities are strongly emphasized by Professor Scott.

12Taken in connexion with the likeness of the young among the more generalized orders to the adults, it indicates clearly a thysanuroid starting-point for the evolution of the hexapod orders.

12The groups of organisms utilized for zoning and correlation by different workers include brachiopods, pelecypods, cephalopods, corals, fishes and plants; and the results of the comparison of the faunas and floras of different areas where Carboniferous rocks occur are generalized in the table below.

12It should be added that this generalized animal is not unfrequently classed among the ancestral pigs, but its cameline affinities are strongly emphasized by Professor Scott.

12This order of discovery shows that the third law was generalized.

00Yet the types, both in armour and dress, remained essentially Teutonic - or rather Celtic-Teutonic. Indeed, when in the course of time uniformity came to prevail over the greater part of Europe, it was the Teutonic rather than the Roman fashions which were generalized.

00is the time integral of Q~ and so represents a generalized component of impulse.

00By an obvious analogy, the expressions OTfO4r may be called the generalized components of momentum; they are usually denoted by Pr, thus = OT/aq,.

00To apply the equations (11) to the case of the top we start with the expression (15) of 22 for the kinetic energy, the simplified form (i) of 20 being for the present purpose inadmissible, since it is essential that the generalized co-ordinates employed should be competent to specify the position of every particle.

00In discussing the small oscillations of a system about a configuration of stable equilibrium it is convenient so to choose the generalized co-ordinates qi, q2,..

00By a suitable choice of the generalized co-ordinates it is possible to reduce T and V simultaneously to sums of squares.

00These variables represent the whole assemblage of generalized co-ordinates qr; they are continuous functions of the independent variables x, y, 1 whose range of variation corresponds to that of the index r, and of 1.

00In the Reiileaux system of analysis of mechanisms the principle of comparative motion is generalized, and mechanisms apparently very diverse in character are shown to be founded on the same sequence of elementary combinations forming a kinematic chain.

00The Yoruba-speaking peoples generalized the spirits of mountain and hill into Oke, god of heights; and the multitude of local sea-gods on the western half of the slave coast was fused into one god of the Ocean, Olokun.

00But the idea of Law was generalized in the figure of Rita (what is " fitted " or " fixed "; or the " course " or " path " which is traversed), whose Zend equivalent asha shows that the conception had been reached before the separation of the Eastern Aryans produced the migrations into India and Iran.'

00W.) having given up the specializations of func tion impressed on them during evolution and simply carrying out the fundamental functions of nutrition, growth, and multiplication which mark the generalized activities of the bacterial cell, and at the same time rendered as accessible to the environment by isolation and consequent extension of surface, we should doubtless find them exerting changes in the fermentable fluids necessary to their life similar to those exerted by an equal mass of bacteria, and that in proportion to their approximation in size to the latter.

0016, 3), a group related to the Loricata but of a more generalized type, are specially interesting since the few existing deep-sea forms appear to be only surviving remnants of what was, in the Mesozoic period, a dominant group. The Mesozoic Glyphaeidae have been supposed to stand in the direct line of descent of the modern rock-lobsters and their allies (Loricata).

00The earliest forms, from the Lower Oolite and later, belonging chiefly to the extinct family Prosoponidae, have been shown to have close relations with the most generalized of existing Brachyura, the deep-sea Homolodromiidae, and to link the Brachyura to the Homarine (lobster-like) Macrura.

00On the whole, man's locomotive limbs are not so much specialized to particular purposes, as generalized into adaptation to many ends.

00We attain, therefore, our first generalized description of life as the property or peculiar quality of a substance composed of none but the more common elements, but of these elements grouped in various ways to form compounds ranging from proteid, the most complex of known substances to the simplest salts.

00All the above are of Pleistocene and perhaps Pliocene age, but in the Santa Cruz beds of Patagonia there occur the two curious genera Propalaeohoplophorus and Peltephilus, the former of which is a primitive and generalized type of glyptodont, while the latter seems to come nearer to the armadillos.

00The above definitions of logarithms, &c., relate to cases in which n and p are whole numbers, and are generalized later.

00For real figures we have the general theorem that imaginary intersections, &c., present themselves in conjugate pairs; hence, in particular, that a curve of an even order is met by a line in an even number (which may be = o) of points; a curve of an odd order in an odd number of points, hence in one point at least; it will be seen further on that the theorem may be generalized in a remarkable manner.

00In this generalized form of mammalian dentition the total number of teeth present is 44, or II above and II below on each side.

00A more generally accepted view - especially among palaeontologists - is the tritubercular theory, according to which the most generalized type of tooth consists of three cusps arranged in a triangle, with the apex pointing inwards in the teeth of the upper jaw.

00As we recede in time we find the extinct representatives of many of these orders approximating more and more closely to a common generalized type, so that in a large number of early Eocene forms it is often difficult to decide to which group they should be assigned.

00The Insectivora are certainly the lowest group of existing placental mammals, and exhibit many signs of affinity with marsupials; they may even be a more generalized group than the latter.

00If, however, the so-called Proglires of the lower Eocene are really ancestral rodents, the order is brought into comparatively close connexion with the early generalized types of clawed, or unguiculate mammals.

00The Carnivora, as represented by the (mainly) Eocene Creodonta, are evidently an ancient and generalized type.

00It is with the proboscidean suborder of the Ungulata to which the Sirenia are most nearly related; the nature of this relationship being described by Dr Andrews as follows: " In the first place, the occurrence of the most primitive Sirenians with which we are acquainted in the same region as the most generalized proboscidean, Moeritherium, is in favour of such a view, and this is further supported by the similarity of the brain-structure and, to some extent, of the pelvis in the earliest-known members of the two groups.

00The Amblypoda, on the other hand, are perhaps not far removed from the ancestral Proboscidea, which depart comparatively little from the generalized ungulate type.

00His ircpi OeoXoylas is a dissertation on the knowledge of God.1 Many centuries later Abelard generalized the expression in books which came to bear the titles Theologia Christiana and Introductio ad Theologian.

00The Hexapoda are not only all confined to a very definite disposition of the somites, appendages and apertures, as thus indicated, but in other characters also they present the specialization of a narrowly-limited highly-developed order of such a class as the Crustacea rather than a range from lower more generalized to higher more specialized forms such as that group and also the Arachnida present.

00Further experience has generalized these earlier results.

00relationship. There is reason to believe that compound or generalized types - partly Ferns and partly Cycads - persisted into the Mesozoic era; but without more anatomical knowledge than we at present possess, it is impossible to do more than to point to a few indications afforded by external, and to a slight extent by internal structure, of the survival of Cycadofilicinean types.

00The Discoglossidae are noteworthy for the presence of short ribs to some of the vertebrae, and in some other points also they approach the tailed batrachians; they may be safely regarded as, on the whole, the most generalized of known Ecaudata.

00We use the type system and our treatment of generalized quantifiers in natural language to construct a type-theoretic approach to pronominal anaphora and ellipsis.

00The coronary arteries showed severe generalized occlusive atheroma affecting all the main branches.

00In countries with generalized epidemics, antenatal clinic attendees are thought to represent the adult population with good accuracy.

00The omission of a specific scheme to address generalized blight constitutes a major flaw in the proposed compensation package.

00Generalized epileptic seizures involve both cerebral hemispheres from the onset of the seizure, and consequently any motor manifestations are bilateral.

00It was anticipated that their seizures would mostly be generalized tonic clonic.

00Half of the seizures end with hemi or generalized convulsions.

00Some consider this syndrome, rather than benign familial neonatal convulsions, as the earliest expression of idiopathic generalized epilepsy.

00The program includes the non-linear elastic behavior beyond the limit of proportionality using the generalized stress-strain curve of ESDU 76016.

00Tables of designs using the debased meaning of ` generalized cyclic ' .

00Generalized muscle perfusion remains above normal for up to 15 minutes after tourniquet deflation.

00depressive disorder or generalized anxiety.

00Twenty or more lesions outside the affected dermatome reflect generalized viraemia.

00The G edit descriptor is a generalized edit descriptor which can be used to input or output values of any intrinsic type.

00Effect of anti-anxiety drugs in patients with generalized anxiety disorder, with Dr. David Baldwin.

00Cocktail therapy In some patients, mostly with severe generalized dystonia, a combination of drugs may be used.

00The lesions, in combination with generalized edema, produced a leonine facies.

00Lesions acute gastroenteritis, haemorrhagic enteritis, haemorrhagic enteritis; generalized congestion, particularly marked in the lungs.

00This paper describes a group of patients with idiopathic generalized epilepsy of adult onset.

00This is particularly true of the early onset epilepsy syndromes, both those that are focal and those that are generalized in onset.

00generalized systemic fatigue is reported by most patients with PPS (Halstead et al.

00Lupus (Systemic Lupus Erythematosus) SLE is a generalized connective tissue disorder tending to affect middle-aged females.

00futurity modulation coincides, in the current meteorology of mood, with the generalized affect of bioterror.

00Lesions Non-specific: generalized congestion; renal and hepatic degeneration (variable ); haemorrhagic gastroenteritis (occasional ).

00They have now developed their own unique sound which does not allow them to be easily generalized.

00The point was then generalized to number patterns in mathematics.

00However, in terms of actual practices in the working environment, this is clearly too generalized to be of much use.

00generalized to allow comparison of other types such as dates and times.

00generalized to cover all the genetic material within an organism.

00Biographical data, treatment patterns, and clinical impressions were analyzed by the generalized linear model and generalized estimating equations method.

00Focal or generalized gingival hyperplasia can occur, due to a chronic inflammatory response to plaque.

00P is its own generalized inverse, P # .

00This generalized inverse, called a g2 inverse, has two important properties.

00The only poor result was in a patient with generalized joint laxity.

00Patients with persistent generalized lymphadenopathy do not have unusually large lymph nodes.

00For that reason the stage is often called the PGL (persistent generalized lymphadenopathy) stage.

00Uses For the treatment of local and generalized demodectic mange and sarcoptic mange in dogs.

00Martinez M, Vazquez E. MRI evidence that docosahexaenoic acid ethyl ester improves myelination in generalized peroxisomal disorders.

00On December 31, he developed profound generalized myoclonus that began in his left arm.

00neuropathynduction studies can identify the presence of localized compression neuropathies as well as generalized peripheral neuropathies.

00Dance notations do not notate every nuance and is more of a generalized overview.

00oedemawas complaining of a bad headache and was noted to have generalized edema (swelling ).

00The subgroup, generalized nodal osteoarthritis, is particularly common in women.

00In the presence of chondromalacia of the central ridge or generalized over the whole patella there is usually no definable cause treatable by arthroscopy.

00Later that day Mrs A was admitted to hospital, where she was found to have generalized peritonitis.

00The oblique plural is turned into a generalized plural marker.

00Other lymphomas and leukemias have been associated with a less intense but more generalized pruritus.

00pustular psoriasis also can be generalized, covering most of the body.

00pustular psoriasis also can be generalized, covering most of the body.

00Our findings are consistent with a large-scale neural network centered in frontal and parietal cortex that supports comprehension of generalized quantifiers.

00Nor was there any serious problem about most of the generalized quantifiers proposed at the time.

00Signs Patients are unwell with fever, swelling of the lymph glands and frequently a generalized rash.

00Bringing LM stuff and social capital together also suggests another point: could generalized reciprocity be applied in the economic sphere?

00Finite generalized tetrahedron groups with a cubic relator 2003/21 Vincent Schmitt.

00There are several different kinds of generalized seizures which may look very different.

00People who have generalized seizures usually fall to the ground and lose consciousness.

00Partial seizures can progress into a generalized tonic clonic seizure.

00see also matrix singularity, matrix inverse, generalized inverse.

00Some patients have rather generalized joint line tenderness, palpable synovitis or an effusion.

00Rare symptom that may progress to generalized tetanus with similar risks.

00I proved, for example, a generalized coverage theorem that specialized to both the known complete lattice and preframe versions.

00Partial seizures can progress into a generalized tonic clonic seizure.

00What is obvious however is that you will expect your ideal project manager to exhibit traits from all four generalized types.

00Clearly B, § can now do the work of a trope structure, or generalized trope space.

00This theorem has been generalized for any tetrahedron; a sphere can be drawn through the four feet of the perpendiculars, and consequently through the mid-points of the lines from the vertices to the centre of the hyperboloid having these perpendiculars as generators, and through the orthogonal projections of these points on the opposite faces.

00The latter may, however, be split up into several sub-generic groups, such as Metachirus, Philander, Marmosa (Micoureus or Grymaeomys), Peramys, Dromiciops, &c. The small South American forms included in Marmosa, which lack the pouch, and have numerous teats, and molar teeth of a primitive type, are doubtless the most generalized representatives of the group (see Opossum; and WATER-Opossum).

00This theory has been supported by the investigations of Dr Klaatsch, of the university of Heidelberg, who would, however, date Australian ancestry still farther back, for his studies on the spot have convinced him that the Australians are " a generalized, not a specialized, type of humanity - that is to say, they are a very primitive people, with more of the common undeveloped characteristics of man, and less of the qualities of the specialized races of civilization."

00Though considered fantastic by many, it had secured fairly general acceptance in Germany in 1912, and was followed by the generalized theory in 1915.

00Arrange- Professor C. Lapworth has generalized the grand features meat of of crustal relief in a scheme of attractive simplicity.

00In all, there is a wonderful amount of specialization, though perhaps in a very straight line from generalized forms; but the affinity to Australian or Polynesian types is in many cases clearly traceable, and it cannot be supposed but that these last are of cognate origin with those of New Zealand.

00The generalized arrangement of the wing-nervure and the nature of the larva, which is less unlike the adult than in other beetles, distinguish this tribe as primitive, although the perfect insects are, in the more dominant families, distinctly specialized.

00Many forms of animal sacrifice were found; the generalized account given above for Greece is true also for the Romans.

00Availing himself of the admirable generalized co-ordinate system of Lagrange, Maxwell showed how to reduce all electric and magnetic phenomena to stresses and motions of a material medium, and, as one preliminary, but excessively severe, test of the truth of his theory, he pointed out that (if the electromagnetic medium be that which is required for the explanation of the phenomena of light) the velocity of light in vacuo should xvii.

00In bodily form Diptera present two main types, either, as in the case of the more primitive and generalized families, they are gnator midge-like in shape, with slender bodies and long, delicate legs, or else they exhibit a more or less distinct resemblance to the common house-fly, having compact and stoutly built bodies and legs of moderate length.

00These experimental results were generalized by him under the title of the Law of Thermoneutrality.

00In generalized biting insects, such as cockroaches and locusts (Orthoptera), the parts of a typical maxilla can be easily recognized in the labium.

00The head is usually connected with the thorax by a distinct membranous neck, strengthened in the more generalized orders with small chitinous plates (cervical sclerites).

00They could even discern dimly some generalized stock whence had descended whole groups that now differed strangely in habits and appearance - their discernment aided, may be, by some isolated form which yet retained undeniable traces of a primitive structure.

00In the author's concluding summary he remarks on the fact that, while the Odontolcae, as exhibited in Hesperornis, had teeth inserted in a continuous groove - a low and generalized character as shown by reptiles, they had, however, the strongly differentiated saddle-shaped vertebrae such as all modern birds possess.

00These observations were generalized by J.

00In the case of general maps on a smaller scale, the orographic features must be generalized by a skilful draughtsman and artist.

00Linete and Linet-wige, whence seems to have been corrupted the old Scottish "Lintquhit," and the modern northern English "Lintwhite" - originally a somewhat generalized bird's name, but latterly specialized for the Fringilla cannabina of Linnaeus, the Linota cannabina of recent ornithologists.

00The idea_can be generalized so as to have regard to ternary and higher forms each of the same order and of the same number of variables.

00Little is known of the form of the appendages in the lowest archaic Arachnida, but the tendency of those of the prosomatic somites has been (as in the Crustacea) to pass from a generalized bi-ramose or multi-ramose form to, that of uni-ramose antennae, chelae and walking legs.

00The method of "generalized coordinates," as it is now called, by which he attained this result, is the most brilliant achievement of the analytical method.

00This led to the idea of algebra as generalized arithmetic.

00It is true that we obtain this result by subtracting 3 from io by means of a subtractiontable (concrete or ideal); but this table merely gives the generalized results of a number of operations of addition or subtraction performed with concrete units.

00Other acids became known during the alchemistic period; and the first attempt at a generalized conception of these substances was made by Paracelsus, who supposed them to contain a principle which conferred the properties of sourness and solubility.

00maximus), has retained the slightly more generalized characters of the mammoth's contemporaries of more southern climes, E.

00The more generalized Hymenoptera have the second maxillae but slightly modified, their inner lobes being fused to form a ligula (fig.

00qr,, be the generalized coordinates of any dynamical system, and let pi, P2,

00Wittich in 1584 made known at Cassel the calculation of one case by this prosthaphaeresis; and Justus Byrgius proved it in such a manner that from his proof the extension to the solution of all triangles could be deduced.3 Clavius generalized the method in his treatise De astrolabio (1593), lib.

00Thus Huxley, with true prophetic instinct, found that the sum of primitive characters of all the higher placental mammals points to a stem form of a generalized insectivore type, a prophecy which has been fully confirmed by the latest research.

00More or less independently, Huxley, Kowalevsky and Cope restored the stem ancestor of the hoofed animals, or ungulates, a restoration which has been nearly fulfilled by the discovery, in 1873, of the generalized type Phenacodus of northern Wyoming.

00In mammals Sir William Flower pointed out that a generalized type of liver exists, from which that of any mammal may be derived by suppression or fusion of lobes.

00In tracing the lobulation of man's liver back to this generalized type, it is evident at once that his quadrate lobe does not correspond to any one generalized lobe, but is merely that part of the right central which lies between the gall bladder and the umbilical fissure.

00pology, Cambridge, 1904, p. 98), it is fairly clear that the human liver is formed, not by a suppression of any of the lobes of the generalized type, but by a fusion of those lobes and obliteration of certain fissures.

005) shows an abnormal human liver in the Anatomical Department of St Thomas's Hospital which reproduces the generalized type.

00- Human Liver showing a the primate liver, and among reversion to the generalized mamother things suggests the remalian type.

00The first figure is the generalized type, the second the male and the third the female specialized arrangements.

00C. Pickering, generalized by T.

00He generalized Weber's law in the form that sensation generally increases in intensity as the stimulus increases by a constant function of the previous stimulus; or increases in an arithmetical progression as the stimulus increases in a geometrical ratio; or increases by addition of the same amount as the stimulus increases by the same multiple; or increases as the logarithm of the stimulus.

00This order of discovery shows that the third law was generalized.

00Yet the types, both in armour and dress, remained essentially Teutonic - or rather Celtic-Teutonic. Indeed, when in the course of time uniformity came to prevail over the greater part of Europe, it was the Teutonic rather than the Roman fashions which were generalized.

00The generalized view of angles and their measurement is treated in the article Trigonometry.

00Thus the condition in the Dermaptera is more primitive than in any other Pterygote order except the Ephemeroptera (Mayflies) which are still more generalized, the primitive mesodermal ducts (oviducts and vasa deferentia) opening by paired apertures as in the Crustacea.

00But the question of knowledge was never generalized by them, and their reply to Hume, therefore, remains partial and inadequate, while its effect is weakened by the uncritical assumption of principles which is a characteristic feature of their writings.

00Already before Alexander pan-hellenic feeling had in various ways overridden the internal divisions of the Greek race, but now, with the vast mingling of Greeks of all sorts in the newlyconquered lands, a generalized Greek culture in which the old local characteristics were merged, came to overspread the world.

001, in which the observed results are recorded by the thick continuous line, and the form of Pearson's "generalized probability curve" best fitted to represent them by a dotted line.

00Schlosser has described remains of a large camel-like animal from China, with apparently generalized affinities, for which the name of Paracamelus is proposed.

00Generalized features are also displayed by the Oligocene Hypisodus, which in its short skull and large orbits presents a curious approximation to the African dik-dik antelopes of the genus Madoqua (see Antelope).

00Thesis, antithesis and synthesis, a Fichtean formula, is generalized by Hegel into the perpetual law of thought.

00Its second premise is indeed merely a particular apprehension that one particular is similar to another, whereas the second premise of induction is a universal apprehension that a whole number of particulars is similar to those from which the inference starts; but at bottom these two apprehensions of similarity are so alike as to suggest that the universal premise of induction has arisen as a generalized analogy.

00An infallible sign of an induction is that the subject and predicate of the universal conclusion are merely those of the particular instances generalized; e.g.

00Leibnitz, fresh from the battle of the calculus in the mathematical field, and with his conception of logic, at least in some of its aspects, as a generalized mathematic,' found a fruitful inspiration, harmonizing well with his own metaphysic, in Bacon's alphabet of nature.

00In the order of human knowledge the particular facts of experience come first and are the basis of generalized laws or causes (the Scholastic notiora nobis); but in the order of nature the latter rank first as the self-existent, fundamental truths of existence (notiora naturae).

00Equations of motion in generalized co-ordinates.

00The result may be generalized into the statement that a frame has a critical form whenever a frame of the same structure can be designed with corresponding bars parallel, but without complete geometric similarity.

00Equations of Motion in Generalized Co-ordinates.Suppose we have a dynamical system composed of a finite number of material particles or rigid bodies, whether free or constrained in any way, which are subject to mutual forces and also to the action of any given extraneous forces~ The configuration of such a system can be completely specified by means of a certain number (n) of independent quantities, called the generalized coordinates of the system.

00~,,, which are called the generalized components of velocity.

00The quantities QT are called the generalized components of force.

00is the time integral of Q~ and so represents a generalized component of impulse.

00By an obvious analogy, the expressions OTfO4r may be called the generalized components of momentum; they are usually denoted by Pr, thus = OT/aq,.

00To apply the equations (11) to the case of the top we start with the expression (15) of 22 for the kinetic energy, the simplified form (i) of 20 being for the present purpose inadmissible, since it is essential that the generalized co-ordinates employed should be competent to specify the position of every particle.

00In discussing the small oscillations of a system about a configuration of stable equilibrium it is convenient so to choose the generalized co-ordinates qi, q2,..

00By a suitable choice of the generalized co-ordinates it is possible to reduce T and V simultaneously to sums of squares.

00These variables represent the whole assemblage of generalized co-ordinates qr; they are continuous functions of the independent variables x, y, 1 whose range of variation corresponds to that of the index r, and of 1.

00In the Reiileaux system of analysis of mechanisms the principle of comparative motion is generalized, and mechanisms apparently very diverse in character are shown to be founded on the same sequence of elementary combinations forming a kinematic chain.

00The Yoruba-speaking peoples generalized the spirits of mountain and hill into Oke, god of heights; and the multitude of local sea-gods on the western half of the slave coast was fused into one god of the Ocean, Olokun.

00But the idea of Law was generalized in the figure of Rita (what is " fitted " or " fixed "; or the " course " or " path " which is traversed), whose Zend equivalent asha shows that the conception had been reached before the separation of the Eastern Aryans produced the migrations into India and Iran.'

00W.) having given up the specializations of func tion impressed on them during evolution and simply carrying out the fundamental functions of nutrition, growth, and multiplication which mark the generalized activities of the bacterial cell, and at the same time rendered as accessible to the environment by isolation and consequent extension of surface, we should doubtless find them exerting changes in the fermentable fluids necessary to their life similar to those exerted by an equal mass of bacteria, and that in proportion to their approximation in size to the latter.

0016, 3), a group related to the Loricata but of a more generalized type, are specially interesting since the few existing deep-sea forms appear to be only surviving remnants of what was, in the Mesozoic period, a dominant group. The Mesozoic Glyphaeidae have been supposed to stand in the direct line of descent of the modern rock-lobsters and their allies (Loricata).

00The earliest forms, from the Lower Oolite and later, belonging chiefly to the extinct family Prosoponidae, have been shown to have close relations with the most generalized of existing Brachyura, the deep-sea Homolodromiidae, and to link the Brachyura to the Homarine (lobster-like) Macrura.

00On the whole, man's locomotive limbs are not so much specialized to particular purposes, as generalized into adaptation to many ends.

00We attain, therefore, our first generalized description of life as the property or peculiar quality of a substance composed of none but the more common elements, but of these elements grouped in various ways to form compounds ranging from proteid, the most complex of known substances to the simplest salts.

00All the above are of Pleistocene and perhaps Pliocene age, but in the Santa Cruz beds of Patagonia there occur the two curious genera Propalaeohoplophorus and Peltephilus, the former of which is a primitive and generalized type of glyptodont, while the latter seems to come nearer to the armadillos.

00The above definitions of logarithms, &c., relate to cases in which n and p are whole numbers, and are generalized later.

00For real figures we have the general theorem that imaginary intersections, &c., present themselves in conjugate pairs; hence, in particular, that a curve of an even order is met by a line in an even number (which may be = o) of points; a curve of an odd order in an odd number of points, hence in one point at least; it will be seen further on that the theorem may be generalized in a remarkable manner.

00In this generalized form of mammalian dentition the total number of teeth present is 44, or II above and II below on each side.

00A more generally accepted view - especially among palaeontologists - is the tritubercular theory, according to which the most generalized type of tooth consists of three cusps arranged in a triangle, with the apex pointing inwards in the teeth of the upper jaw.

00As we recede in time we find the extinct representatives of many of these orders approximating more and more closely to a common generalized type, so that in a large number of early Eocene forms it is often difficult to decide to which group they should be assigned.

00The Insectivora are certainly the lowest group of existing placental mammals, and exhibit many signs of affinity with marsupials; they may even be a more generalized group than the latter.

00If, however, the so-called Proglires of the lower Eocene are really ancestral rodents, the order is brought into comparatively close connexion with the early generalized types of clawed, or unguiculate mammals.

00The Carnivora, as represented by the (mainly) Eocene Creodonta, are evidently an ancient and generalized type.

00It is with the proboscidean suborder of the Ungulata to which the Sirenia are most nearly related; the nature of this relationship being described by Dr Andrews as follows: " In the first place, the occurrence of the most primitive Sirenians with which we are acquainted in the same region as the most generalized proboscidean, Moeritherium, is in favour of such a view, and this is further supported by the similarity of the brain-structure and, to some extent, of the pelvis in the earliest-known members of the two groups.

00The Amblypoda, on the other hand, are perhaps not far removed from the ancestral Proboscidea, which depart comparatively little from the generalized ungulate type.

00His ircpi OeoXoylas is a dissertation on the knowledge of God.1 Many centuries later Abelard generalized the expression in books which came to bear the titles Theologia Christiana and Introductio ad Theologian.

00At the opening of the era of modern scientific discovery, with all its fruitful new generalizations, the still more highly generalized laws of epistemology and of the spiritual constitutionof man might well baffle the physicist and lead his intellect to "flounder."

00The Hexapoda are not only all confined to a very definite disposition of the somites, appendages and apertures, as thus indicated, but in other characters also they present the specialization of a narrowly-limited highly-developed order of such a class as the Crustacea rather than a range from lower more generalized to higher more specialized forms such as that group and also the Arachnida present.

00Further experience has generalized these earlier results.

00relationship. There is reason to believe that compound or generalized types - partly Ferns and partly Cycads - persisted into the Mesozoic era; but without more anatomical knowledge than we at present possess, it is impossible to do more than to point to a few indications afforded by external, and to a slight extent by internal structure, of the survival of Cycadofilicinean types.

00The Discoglossidae are noteworthy for the presence of short ribs to some of the vertebrae, and in some other points also they approach the tailed batrachians; they may be safely regarded as, on the whole, the most generalized of known Ecaudata.

00Conjunctivitis and a partially generalized pustular eruption followed handling vanilla pods (Hiley 1909).

00Nor was there any serious problem about most of the generalized quantifiers proposed at the time.

00Signs Patients are unwell with fever, swelling of the lymph glands and frequently a generalized rash.

00Bringing LM stuff and social capital together also suggests another point: could generalized reciprocity be applied in the economic sphere?

00Finite generalized tetrahedron groups with a cubic relator 2003/21 Vincent Schmitt.

00The market for generalized collateral (GC) repo agreements began in March 1997.

00There are several different kinds of generalized seizures which may look very different.

00People who have generalized seizures usually fall to the ground and lose consciousness.

00Partial seizures can progress into a generalized tonic clonic seizure.

00See also matrix singularity, matrix inverse, generalized inverse.

00We will use generalized born for the implicit solvent with a sodium chloride salt concentration of 0.2M (igb=1, saltcon=0.2).

00Some patients have rather generalized joint line tenderness, palpable synovitis or an effusion.

00Rare symptom that may progress to generalized tetanus with similar risks.

00I proved, for example, a generalized coverage theorem that specialized to both the known complete lattice and preframe versions.

00What is obvious however is that you will expect your ideal project manager to exhibit traits from all four generalized types.

00Clearly B, § can now do the work of a trope structure, or generalized trope space.

00These feelings overflow into other areas of the person's life to the point of generalized unhappiness with everything in life.

00People prone to the constellation of anxiety disorders such as social anxiety disorder, depression, generalized anxiety disorder and panic attacks should monitor their diet carefully.

00Panic disorder is often concurrent with generalized anxiety disorder and depression, too.

00Studies show it helps with generalized anxiety disorder, often found concurrently with panic attacks.

00However, when those feelings become overwhelming, excessive and last for long periods of time, you may be suffering from a type of anxiety disorder known as generalized anxiety disorder.

00When you suffer from generalized anxiety disorder, the feelings of anxiety you experience interfere with your everyday life, disrupting your personal, social and work related activities.

00Both the feelings and the physical signs and symptoms occur in regular anxiety and generalized anxiety disorder.

00Anxiety is a relatively normal reaction in certain stressful circumstances, but when the anxiety and worry becomes so consuming that a person has a difficult time functioning this may be classified as generalized anxiety disorder.

00Many people with generalized anxiety disorder symptoms experience additional physical symptoms that are a result of the anxiety and worry.

00Diagnosis of generalized anxiety disorder typically results in prescription medication along with psychotherapy.

00Chronic anxiety is also known as generalized anxiety disorder.

00To receive the official diagnosis of generalized anxiety disorder, the person must have had the severe anxiety symptoms for at least six months.

00Treatment for generalized anxiety, professional therapy, relaxation techniques, medication and other tools can all work together to keep you calm.

00Uncontrollable anxiousness that interferes with daily life is clinical anxiety, or generalized anxiety disorder (GAD).

00In some instances a person diagnosed with clinical anxiety or generalized anxiety disorder may also suffer from depression, or one or more of the other main types of anxiety disorders.

00Therapists who work with clients suffering from generalized anxiety disorder (GAD) will help them see that their thoughts are unhealthy.

00Online physical education degrees tend to be very generalized at the associate's degree level.

00Feeling prideful of their homeland, Lynyrd Skynyrd recorded Sweet Home Alabama in response to what they felt were overly generalized attacks from a northerner.

00Anxiety disorders, such as generalized anxiety disorder (GAD) result in excessive and exaggerated worry about life events.

00Anxiety disorders, such as generalized anxiety disorder (GAD) result in excessive and exaggerated worry about life events.

00A generalized redness and swelling may occur in the test area, but it will usually resolve within a day or two.

00These include skin involvement (either hyperextensible skin or smooth and velvety skin) and generalized joint hypermobility.

00These include severe generalized joint hypermobility and bilateral hip dislocation present at birth.

00L., et al. "An infant with generalized rash and abnormal hair."

00Side effects include generalized weakness, including weakness of the respiratory muscles, as well as drowsiness, fatigue, diarrhea, and sensitivity to the sun.

00L. "Generalized eruptive histiocytosis."

00Children may have a moderate fever, local redness and itching, or pain at the site of injection and a generalized skin eruption, most commonly urticaria (hives) associated with severe itching.

00Signs of dehydration include decreased urination, lethargy, poor skin tone, and generalized weakness.

00Prolonged itching in a specific location and generalized itching in many different areas of the body are less common.

00For generalized itching, take a lukewarm shower or oatmeal (or Aveeno) bath.

00The following stages are generalized from Lowenfeld's work and that of Betty Edwards.

00Generalized pustular psoriasis is also known as Von Zumbusch pustular psoriasis.

00Lymphadenitis may be either generalized, involving a number of lymph nodes, or limited to a few nodes in the area of a localized infection.

00Peroxisomal disorder patients have decreased muscle tone (hypotonia), which in the most severe cases is generalized, while in less severe cases, is usually restricted to the neck and trunk muscles.

00Martinez, M., et al. "Therapeutic Effects of Docosahexanoic Acid in Patients with Generalized Peroxisomal Disorders."

00Studies have found that generalized anxiety responds well to these drugs (benxodiazepines are the most common), which serve to quell the physiological symptoms of anxiety.

00Generalized delay in all developmental milestones suggests mental retardation.

00The patient may complain of excessive gas (flatulence), distended abdomen, weight loss, and generalized weakness.

00Myotonic dystrophy, also known as Steinert's disease, which affects both men and women, causing generalized weakness first seen in the face, feet, and hands.

00Congenital muscular dystrophy (CMD), which is present from birth, results in generalized weakness, and usually progresses slowly.

00Signs of dehydration include lethargy, poor skin tone, generalized weakness, and reduced urination.

00Signs of dehydration include lethargy, poor skin tone, and generalized weakness.

00L., et al. "An infant with generalized rash and abnormal hair."

00Lymphadenopathy-A disorder characterized by local or generalized enlargement of the lymph nodes or lymphatic vessels.

00Generalized destruction of tissue or lack of brain development may lead to hydranencephaly, in which cerebrospinal fluid fills much of the space normally occupied by the brain.

00Repeated bites can lead to generalized skin eruptions or inflammation.

00Body lice bites first appear as small red pimples or puncture marks and may cause a generalized skin rash.

00Child psychiatrists have already observed that avoidant personality disorder (APD) and generalized anxiety disorder (GAD) are closely linked to the inhibited type of temperament as described in Kagan's work.

00"Anxiety Disorder: Generalized Anxiety." eMedicine.

00Side effects include generalized weakness-including weakness of the respiratory muscles-as well as drowsiness, fatigue, diarrhea, and sensitivity to the sun.

00A generalized seizure occurs when electrical abnormalities exist throughout the brain.

00A generalized tonic-clonic (grand-mal) seizure typically begins with a loud cry before the individual having the seizure loses consciousness and falls to the ground.

00A primary generalized seizure occurs when electrical discharges begin in both halves (hemispheres) of the brain at the same time.

00Primary generalized seizures are more likely to be major motor attacks than to be absence seizures.

00Generalized epileptic seizures occur when electrical abnormalities exist throughout the brain.

00Partial seizures do not involve the entire brain, although a partial seizure may spread to other parts of the brain and cause a generalized seizure.

00Do you want to work at a camp offering generalized recreational activities, or do you want to work at a specialized camp geared to a specific sport or activity?

00Immunoglobulin G (IgG): IgG is a more generalized antibody associated with celiac disease as well as other autoimmune disorders.

00The traditional Foot Locker shoe store provides generalized products for all these categories, whereas the other divisions are more specific to a certain group.

00Many companies will provide a generalized quote based on very basic information such as the car's make and mileage.

00The following is a generalized list of the different types of homeowners insurance.

00The quote you initially receive from Colonial Penn will be a generalized quote for a monthly premium for a life insurance policy with the level of coverage you want to purchase.

00Rather than show actual clients, there is stock photography and bland, generalized statements about "strategy."

00The HTML language originated from SGML, which stands for Standard Generalized Markup Language.

00generalized eigenproblem.

01generalized inverse, P # .

01generalized quantifiers.

01generalized fatigue has been treated with energy conservation measures.

01generalized seizures, these types of seizures take many forms.

01generalized deduction theorem.

01generalized symptoms such as fever and discomfort.

01generalized linear modeling.

01

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