When, as in the application to rectangular or circular apertures, the form is symmetrical with respect to the axes both of x and y, S = o, and C reduces to C = ff cos px cos gy dx dy,.
A day or two afterward I was stringing beads of different sizes in symmetrical groups--two large beads, three small ones, and so on.
Shell not coiled, symmetrical; pallial cavity ventral.
Hence the positions occupied by the nitro groups in the two different nitrobrombenzoic acids must be symmetrical with respect to the carboxyl group. In 1879, Hubner (Ann., 1 95, p. 4) proved the equivalence of the second pair, viz.
Symmetrical block mountains.
The article REFLECTION explains the symmetrical arrangement of images formed by two mirrors inclined at an angle which is a sub-multiple of four right angles.
Nor is it worth while to attempt a logical or symmetrical arrangement of the material.
Probably a sphere would prove most useful for a pressure anemometer, since owing to its symmetrical shape it would not require a weathercock.
It is absent in the most primitive and symmetrical forms, such as Haliotis and Pleurotomaria.
Shell conical, symmetrical, without slit or perforation.
(iv.) We can write n (;) in the more symmetrical form n(r)- (n - r) !
Now, if CD is pressed by its weight or by a spring on the surface AB, the effect of wear will be to produce a symmetrical grinding away of both surfaces, which may be represented thus, fig.
Pyridine gives origin to: pyridazine or ortho-diazine, pyrimidine or metadiazine, pyrazine or para-diazine, osotriazine, unsymmetrical triazine, symmetrical triazine, osotetrazone and tetrazine.
The partition method of treating symmetrical algebra is one which has been singularly successful in indicating new paths of advance in the theory of invariants; the important theorem of expressibility is, directly we exclude unity from the partitions, a theorem concerning the expressibility of covariants, and involves the theory of the reducible forms and of the syzygies.
Referring to the esters C9H1802 previously mentioned, it is seen that the highest boilingpoints belong to methyl octoate and octyl formate, the least symmetrical, while the minimum belongs to amyl butyrate, the most symmetrical.
The series H 2 S = - 61°, CH 3 SH = 21 °, (C 11 3) 2 S=41 ° is an example; in the first case, the molecular weight is increased and the symmetry diminished, the increase of boiling-point being 82°; in the second case the molecular weight is again increased but the molecule assumes a more symmetrical configuration, hence the comparatively slight increase of 20°.
Of the tri-derivatives the symmetrical compounds boil at the lowest temperature, the asymmetric next, and the vicinal at the highest.
Soc.), regards the property as occasioned by internal vibrations within the molecule conditioned by a symmetrical double tautomerism, light of one wave-length being absorbed by one form, and emitted with a different wave-length by the other.
68, k), absent in Chondrophorida and Cystophorida; they are contractile and resemble, both in appearance, structure and function, the umbrella of a medusa, with radial canals, ring-canal and velum; but they are without manubrium, tentacles or sense-organs, and are always bilaterally symmetrical, a peculiarity of form related with the fact that they are attached on one side to the stem.
If the structure of the molecule is so perfectly symmetrical that, in the absence of any external field, the resultant magnetic moment of the circulating electrons is zero, then the application of a field, by accelerating the right-handed (negative) revolutions, and retarding those which are left-handed, will induce in the substance a resultant magnetization opposite in direction to the field itself; a body composed of such symmetrical molecules is therefore diamagnetic. If however the structure of the molecule is such that the electrons revolving around its atoms do not exactly cancel one another's effects, the molecule constitutes a little magnet, which under the influence of an external field will tend to set itself with its axis parallel to the field.
From time to time efforts were made by those who believed that the Creator must have followed a symmetrical system in his production of animals to force one or other artificial, neatly balanced scheme of classification upon the zoological world.
Although Kekule founded his famous benzene formula in 1865 on the assumptions that the six hydrogen atoms in benzene are equivalent and that the molecule is symmetrical, i.e.
The insufficiency of this argument, however, is shown by the data for arsenious and antimonious oxides, and also for the polymorphs of calcium carbonate, the more symmetrical polymorphs having a lower density.
Although the apparent crust-waves are neither equal in size nor symmetrical in form, this complementary relationship between them is always discernible.
Although the theories of Meyer and Hewitt do not explain (in their present form) the behaviour of anthranilic acid, yet Hewitt has shown that his theory goes far to explain the fluorescence of substances in which a double symmetrical tautomerism is possible.
Bamberger opposed Claus' formula on the following grounds: - The molecule of naphthalene is symmetrical, since 2.7 dioxynaphthalene is readily esterified by methyl iodide and sulphuric acid to a dimethyl ether; and no more than two mono-substitution derivatives are known.
In the case of the circular aperture the distribution of light is of course symmetrical with respect to the focal point p=o, q=o; and C is a function of p and q only through 11 (p 2 -}-q 2).
In these expressions we are to replace p by ks/f, or rather, since the diffraction pattern is symmetrical, by kr/f, where r is the distance of any point in the focal plane from the centre of the system.
It is remarkable that a great many polymorphous substances assume more symmetrical forms at higher temperatures, and a possible explanation of the increase in density of such compounds as silver iodide, &c., may be sought for in the theory that the formation of a more symmetrical configuration would involve a drawing together of the molecules, and consequently an increase in density.
Owen for that division of ungulate mammals in which the toe corresponding to the middle (third) digit of the human hand and foot is symmetrical in itself, and larger than those on either side (when such are present).
In the tapirs and many extinct forms the fifth toe also remains on the fore-limb, but its presence does not interfere with the symmetrical arrangement of the remainder of the foot on each side of the median line of the third or middle digit.
The valves are, consequently, essentially symmetrical, which is not the case with the Lamellibranchiata, - so much so, that certain Brachiopod shells were named Lampades, or lamp shells, by some early naturalists; but while such may bear a kind of resemblance to an antique Etruscan lamp, by far the larger number in no way resemble one.
If we suppose that everything is symmetrical on the two sides of the primary plane y=o, the coefficients B, (3, S vanish.
It is impossible here to give even a list of the names of the many observers who in recent times have made empirical study of the effects of growth-forces and of the symmetrical limitations and definitions of growth.
Therefore there must be another pair of hydrogen atoms, other than 2 and 6, which are symmetrical with respect to 1.
It is rare to find in the polyp a regular, symmetrical disposition of the tentacles as in the medusa.
" The symmetric function (m ï¿½8 m' 2s m ï¿½3s ...) whose is 2s 3s partition is a specification of a separation of the function symbolized by (li'l2 2 l3 3 ...) is expressible as a linear function of symmetric functions symbolized by separations of (li 1 12 2 13 3 ...) and a symmetrical table may be thus formed."
Formula (4) is symmetrical and based on Kekule's formula: it is in full accord with the syntheses and decompositions of the naphthalene nucleus and the number of isomers found.
Thus, to refer again to the acoustical analogue in which plane waves are incident upon a perforated rigid screen, the circumstances of the case are best represented by the first method of resolution, leading to symmetrical secondary waves, in which the normal motion is supposed to be zero over the unperforated parts.
in all other Siphonophores, the ancestral form was a Siphonula, a bilaterally symmetrical Anthomedusa After Haeckel, from Lankester's Treatise on Zoology.
Before full adjustment has been attained the river bed may be broken in places by waterfalls or interrupted by lakes; after adjustment the bed assumes a permanent outline, the slope diminishing more and more gradually, without a break in its symmetrical descent.
The proof is divided into two parts: (1) that four hydrogen atoms are equal, and (2) that two pairs of hydrogen atoms are symmetrical with reference to a specified hydrogen atom.
Ladenburg (Ann., 1875, 179, p. 163) to be symmetrical trimethyl benzene; terephthalic acid, the remaining isomer, must therefore be the para-compound.
The symmetrical diaminophenazine is the parent substance of the important dyestuff toluylene red or dimethyldiaminotoluphenazine.
The following table gives the actual values: - In both cases the image of a mathematical point is thus a symmetrical ring system.
Shell conical; slit or hole in anterior part of mantle; two symmetrical ctenidia; no operculum.
br, One of the two symmetrical gills placed on the neck.
Body generally slug-like, and externally symmetrical.
These results may be graphically represented as follows: numbering the hydrogen atoms in cyclical order from i to 6, then the first thesis demands that whichever atom is substituted the same compound results, while the second thesis points out that the pairs 2 and 6, and 3 and 5 are symmetrical with respect to 1, or in other words, the di-substitution derivatives 1.2 and 1.6, and also 1.3 and 1.5 are identical.
In particular the square of a determinant is a deter minant of the same order (b 11 b 22 b 33 ...b nn) such that bik = b ki; it is for this reason termed symmetrical.
Such determinants are called symmetrical.
By solving k linear equations we similarly express the latter functions as linear functions of the former, and this table will also be symmetrical.
- Symmetrical gangrene of toes (3 months' duration), showing the sharp " line rof demarcation " between the mummified toes and the more healthy tissue.
The grave palsies in such diseases as influenza, diphtheria, beriberi, or ensuing on the absorption of lead, are in the main not central, but due to a symmetrical peripheral neuritis.
Motion symmetrical about an Axis.-When the motion of a liquid is the same for any plane passing through Ox, and lies in the plane, a function ' can be found analogous to that employed in plane motion, such that the flux across the surface generated by the revolution of any curve AP from A to P is the same, and represented by 2s-4 -11'o); and, as before, if d is the increase in due to a displacement of P to P', then k the component of velocity normal to the surface swept out by PP' is such that 274=2.7ryk.PP'; and taking PP' parallel to Oy and Ox, u= -d/ydy, v=dl,t'/ydx, (I) and 1P is called after the inventor, " Stokes's stream or current function," as it is constant along a stream line (Trans.
In this symmetrical motion =o, n=O' 2s,=27c dx) d (?'
35 A circular vortex, such as a smoke ring, will set up motion symmetrical about an axis, and provide an illustration; a half vortex ring can be generated in water by drawing a semicircular blade a short distance forward, the tip of a spoon for instance.
Again, since d4)/dv =d /ds, d4)/ds= - d4y/dv, (13) T = 1 p f(1 9 d = - 2 p f4' d (14) With the Stokes' function, y for motion symmetrical about an axis.
Helmholtz, of the efflux of a jet between two edges A and A 1 in an infinite wall, is obtained by the symmetrical duplication of the above, with n = 1, b = o, a' = - oo, as in fig.
Generally, by making a' = -oo, the line x'A' may be taken as a straight stream line of infinite length, forming an axis of symmetry; and then by duplica tion the result can be ob A tained, with assigned n, a, and b, of the efflux from a symmetrical converging FIG.
CH: CH C 6 H 5, is symmetrical diphenylethylene.
The scolex is biradially constructed, the proglottides flattened, quadrangular and bilaterally symmetrical.
Since the potential of a small charge of electricity dQ at a distance r is equal to dQ/r, and since the potential of all parts of a conductor is the same in those cases in which the distribution of surface density of electrification is uniform or symmetrical with respect to some point or axis in the conductor, we can calculate the potential by simply summing up terms like rdS/r, where dS is an element of surface, o- the surface density of electricity on it, and r the distance from the symmetrical centre.
The spines are variously coloured, white and yellow tints predominating, and from the symmetrical arrangement of the areolae or tufts of spines they are very pretty objects, and are hence frequently kept in drawing-room plant cases.
During the three centuries that have elapsed between Vieta's day and our own several changes of opinion have taken place on this subject, till the principle has at last proved so far victorious that modern mathematicians like to make homogeneous such equations as are not so from the beginning, in order to get values of a symmetrical shape.
The third method is the most symmetrical of all, both in observation and reduction; but it was not employed by Bessel, on the ground that it involved the determination of the errors of two screws instead of one.
Thus, in measuring the largest as well as the smallest angles, the images of both stars would be equally symmetrical and equally well in focus.
But it is still more curious that it was not afterwards carried out, for the communication of automatic symmetrical motion to both segments only involves a simple alteration previously described.
means of measuring the focal point were provided; symmetrical motion was given to the slides; scales on each slide were provided instead of screws for measuring the separation of the segments, and both scales were read by the same micrometer microscope; a metallic thermometer was added to determine the temperature of the scales.
The most complete and symmetrical grass rings are formed by Marasmius oreades, the fairy ring champignon, but the mushroom and many other species occasionally form rings, both on grass-lands and in woods.
Third and fourth digits of both feet almost equally developed, and their terminal phalanges flattened on their inner or contiguous surfaces, so that each is not symmetrical in itself, but when the two are placed together they form a figure symmetrically disposed to a line drawn between them.
SAFRANINE, in chemistry, the azonium compounds of symmetrical diamino-phenazine and containing the ring system annexed: / N / or X N .% CI R C1 R They are obtained by the joint oxidation' of one molecule of a paradiamine with two molecules of a primary amine; by the condensation of para-aminoazo compounds with primary amines (0.
Egmont (8340 ft.) is quiescent, but its symmetrical form and dense clothing of forest make it the most beautiful of the three.
As with Froude's work generally, its literary merit is remarkable; it is a well-balanced and orderly narrative, coherent in design and symmetrical in execution.
Of the Ceylonese galls, " some are as symmetrical as a composite flower when in bud, others smooth and spherical like a berry; some protected by long spines, others clothed with yellow wool formed of long cellular hairs, others with regularly tufted hairs."
The shapes and colours are extremely varied; bilaterally symmetrical forms are most frequent with red, blue or violet colours.
CH: CH 2; isopropylethylene, (CH 3) 2 CH CH: CH 2; symmetrical methyl-ethyl-ethylene, CH 3 CH: CH C 2 H 5; unsymmetrical methyl-ethyl-ethylene, (CH 3)(C 2 H 5)C:CH 2 i and trimethyl ethylene, (CH3)2C:CH(CH3).
The whole ovary is unilateral and unpaired in most rotifers; symmetrical in Asplanchnaceae, Philodinaceae and Seisonaceae.
The chief argument in its favour - symmetrical development of the figure - is, however, lost if the growing girl be taught to ride on a side-saddle of which the pommels can be shifted to the off side on alternate days.
The Lamellibranchia are mainly characterized by the rudimentary condition of the head, and the retention of the primitive bilateral symmetry, the latter feature being accentuated by the lateral compression of the body and the development of the shell as two bilaterally symmetrical plates or valves covering each one side of the animal.
A dorsal contractile heart, with symmetrical right and left auricles receiving aerated blood from the ctenidia and mantle skirt, is present, being unequally developed only in those few forms which are inequivalve.
It remains in this condition for a period of two to six weeks, and during this time the permanent organs are developed from the cells of two symmetrical cavities behind the adductor muscle.
Symmetrical; mantle open throughout its extent; generally with well developed anterior and posterior adductors.
Symmetrical, the anterior adductor small or absent.
- Branchial septum with four or five pairs of very narrow symmetrical orifices; siphons long, united, their extremities surrounded by tentacles; sexes separate.
Repsold introduced essential improvements in the meridian circles by substituting microscopes (on Jesse Ramsden's plan) for the verniers to read the circles, and by making the various parts perfectly symmetrical.
When standing in an open space, the larch grows of a nearly conical shape, with the lower branches almost reaching the ground, while those above gradually diminish in length towards the top of the trunk, presenting a very symmetrical form; but in dense woods the lower parts become bare of foliage, as with the firs under similar circumstances.
The original form was bilaterally symmetrical, and this symmetry is retained in all the classes except the Gastropoda.
Thus in the primitive mollusc the mantle-cavity contains a symmetrical group of structures at the posterior end of the body, and this group of structures is called the pallial complex.
The main effects we have to discuss are (I) a symmetrical widening, (2) a shift of wave-length, which when it accompanies expansion in both directions may appear as an unsymmetrical widening, (3) a change in the relative intensities of the lines.
In association with this movement in a definite direction the body has become vermiform and bilaterally symmetrical.
A pair of triangular prisms having a common face, or a stellate crystal formed by the symmetrical interpenetration of two triangular prisms admits of two internal reflections by faces inclined at 120°, and so give rise to two colourless images each at an angular distance of 120° from the sun.
The cylindrical branches of the fruticose forms are usually radially symmetrical, but the flattened branches of these forms and also the thalli of the foliaceous form show a difference in the cortex of the upper and lower side.
The curve is symmetrical about the line x = y, and consists of two infinite branches asymptotic to the line x+y+a = o and a loop in the first quadrant.
Their most important characteristic in comparison with the latter is that they are, both in external and internal structure, bilaterally symmetrical.
gland, consisting of two lobes which are symmetrical in the young animals, but in the adult the right lobe is anterior and smaller.
The oesophagus is short and leads into a long, straight stomach, provided with numerous symmetrical lateral caeca.
The Viennese have been particularly successful, and their method has been to dye the skins a good brown and then not put in the dark stripes, which exist in sable and mink, until the garment or article is finished, thus obtaining as perfectly symmetrical effects as if the articles were made of small skins instead of large ones.
The Middle White, formed by crossing the large and the small breeds, is not so symmetrical as the parent stocks, and the type is not uniform.
The copper knives are all one-edged with straight back (22) down to the XVIIIth Dynasty, when two-edged symmetrical knives (23) become usual.
It is a smaller animal than the American woodland race, with antlers approximating to those of the barren-ground race, but less elongated, and with a distinct back-tine in the male, the brow-tines moderately palmated and frequently nearly symmetrical, and the bez-tine not excessively expanded..
Here, again, a variation in the order, nature and number of the divisions, in itself simple, may result in symmetrical or correlated changes in all the progeny of the affected embryonic part.
In cases of nearly symmetrical distribution about the mean, the three "types," the mean, the median and the mode, may sensibly coincide.
A similar kind of segregation may take place in the formation of the repeated parts of an organism, so that symmetrical repetition may be compared with normal heredity, and be due to the presence of similar factors in the divisions of the embryonic cells, whilst the differentiation of repeated parts may be due to the unequal distribution of such factors and be comparable with variation.
On such an interpretation, variation would result from asymmetrical division and normal inheritance from symmetrical division.
These summits are remarkable, not only for their great height, but also for their apparent symmetrical arrangement in parallel lines, sometimes in pairs facing each other across this cyclopean passage.
Fawsitt (The Education of the Examiner, Royal Philosophical Society of Glasgow, 1905) shows that frequency-curves deduced from actual investigation of class-marks are not symmetrical, but have two maxima corresponding to the performance of " non-workers " and of " workers."
The coefficient of heating of a calorimeter when it is below the temperature of its surroundings is seldom, if ever, the same as the coefficient of cooling at the higher temperature, since the convection currents, which do most of the heating or cooling, are rarely symmetrical in the two cases, and moreover, the duration of the two stages is seldom the same.
They have a symmetrical circular shape, the condensation increasing rapidly towards the centre.
By the addition of the data for southern stars, so as to obtain a distribution fairly symmetrical over the whole sphere, S.
An exception occurs, however, in the case of a solid which is kinetically symmetrical (~ II) about the mass-centre, e.g.
By its aid, for example, the whole of the properties a elliptical arches, whether square or skew, whether level or sloping in their span, are at once deduced by projection from those of symmetrical circular arches, and the properties of ellipsoidal and ellipticconoidal domes from those of hemispherical and circular-conoidal domes; and the figures of arches fitted to resist the thrust of earth, which is less horizontally than vertically in a certain given ratio, can be deduced by a projection from those of arches fitted to resist the thrust of a liquid, which is of equal intensity, horizontally and vertically.
blood-vessel); i, a symmetrical epipleura of praeoral hood.
Symmetrical at their first appearance in the embryo, the somites (from which the myotomes are derived) early undergo a certain distortion, the effect of which is to carry the somites of the left side forwards through the length of one half-segment.
The last-named species has a straight symmetrical abdomen, with the penultimate segment expanded and strongly calcified to form a back-door to the very unconventional habitation.
He found that when the resonator was placed in certain positions with regard to the oscillator, small sparks were seen between the micrometer balls, and when the oscillator was placed at one end of a room having a sheet of zinc fixed against the wall at the other end, symmetrical positions could be found in the room at which, when the resonator was there placed, either no sparks or else very bright sparks occurred at the poles.
The flowers are regular and symmetrical, having five sepals, tapering to a point and hairy on the margin, five petals which speedily fall, ten stamens, and a pistil bearing five distinct styles.
Symmetrical Electrometers include the dry pile electrometer and Kelvin's quadrant electrometer.
The principle underlying these instruments is that we can measure differences of potential by means of the motion of an electrified body in a symmetrical field of electric force.
The Gaussian theory, however, is only true so long as the angles made by all rays with the optical axis (the symmetrical axis of the system) are infinitely small, i.e.
The course of the rays in the meridional section is no longer symmetrical to the principal ray of the pencil; and on an intercepting plane there appears, instead of a luminous point, a patch of light, not symmetrical about a point, and often exhibiting a resemblance to a comet having its tail directed towards or away from the axis.
Trans., 1830, 3, p. 1) is fulfilled in all systems which are symmetrical with respect to their diaphragm (briefly named " symmetrical or holosymmetrical objectives "), or which consist of two like, but different-sized, components, placed from the diaphragm in the ratio of their size, and presenting the same curvature to it (hemisymmetrical objectives); in these systems tan w'/ tan w= 1.
It is readily seen that if the optical system be symmetrical, the origins of the co-ordinate systems collinear with the optical axis Object J Barrel shaped Cushion shaped Distorted image FIG.
The optic figure seen in convergent polarized light through a section cut parallel to the plane of symmetry of a borax crystal is symmetrical only with respect to the central point.
The arched passage-way is very symmetrical, varying in height from 19 to 35 ft., and famous for its musical reverberations - not a distinct echo, but an harmonious prolongation of sound for from 10 to 30 seconds after the original tone is produced.
Let us conceive an infinitely long circular cylinder of liquid, at rest (a motion common to every part of the fluid is necessarily without influence upon the stability, and may therefore be left out of account for convenience of conception and expression), and inquire under what circumstances it is stable or unstable, for small displacements, symmetrical about the axis of figure.
On distillation with sulphuric acid, it is converted into mesitylene C 9 H 12 (symmetrical trimethyl benzene).
The structure is bilaterally symmetrical, the body and shell elongated along the antero-posterior axis and nearly cylindrical.
Foot expanded distally into a symmetrical disk with a crenate edge or simple and vermiform without well-developed lateral processes; shell often contracted towards the anterior aperture.
The chamber is seen in a perfectly symmetrical perspective, its rear wall pierced by three plain openings which admit the sense of quiet distance and mystery from the open landscape beyond; by the central of these openings, which is the widest of the three, the head and.
To draw a trustworthy conclusion it is necessary that the spot should be quiescent, show a well-developed and fairly symmetrical penumbra, and be observed near the limb and also near the centre, and these conditions are satisfied in so few cases as to withdraw all statistical force from the conclusion.
The lines are broadened (as was already known), the intensity of emission is much increased, but some are weakened and some strengthened, nor is the amount of broadening the same for all lines, nor is it always symmetrical, being sometimes greater on the red side; but besides the effect of unsymmetrical broadening, every line is displaced towards the red; different lines again behave differently, and they may be arranged somewhat roughly in a few groups according to their behaviour; reversals are also effected, and the reversed line does not always correspond with the most intense part of the emission line.
- Colonial corals allied to the Amphiastraeidae, but with radially symmetrical septa arranged in cycles.
In the oldest family - Dichograptidae--in which the branching polypary is bilaterally symmetrical and.
An exception, however,, is constituted by the comprehensive genus Dictyonema, which embraces species composed of a large number of divergent and sub-parallel branches, united by transverse dissepiments into a symmetrical cone-like or funnel-shaped polypary, and includes some forms (Dictyograptus) which originate from a nema-bearing sicula and have been claimed as belonging to the Graptoloidea.
A pure-bred Southdown sheep has a small head, with a light brown or brownish grey (often mouse-coloured) face, fine bone, and a symmetrical, well-fleshed body.
Whilst heavier than the Shropshire, the Hampshire Down sheep is less symmetrical.
It was admitted that these elements might atrophy, or be displaced, or be otherwise obscured; but their complete and symmetrical disposition was regarded as typical and original.
- Tentacles simple or branched, never peltate; calcareous ring well developed, often bilaterally symmetrical; retractor muscles usually present; stone-canal opens internally; genital tubes in right and left tufts.
The five divergent parabolas are curves each of them symmetrical with regard to an axis.
At the present day they are extremely bare, and in this respect almost repellent; but the lack of colour is compensated by the delicacy of the outlines, the minute articulation of the minor ridges and valleys, and the symmetrical grouping of the several mountains.
Another famous statue is one from Gabii, in which she is finishing her toilet and fastening the chlamys over her tunic. In older times her figure is fuller and stronger, and the clothing more complete; certain statues discovered at Delos, imitated from wooden models (oava), are supposed to represent Artemis; they are described as stiff and rigid, the limbs as it were glued to the body without life or movement, garments closely fitting, the folds of which fall in symmetrical parallel lines.
A comparison of these various types would appear to indicate that the primitive form of prothallus in the genus was radially symmetrical and contained chlorophyll.
5, A), while in others the shoots are radially symmetrical and the leaves alike.
The prothallus and sexual organs may resemble those of the Polypodiaceae; in Aneimia and Mohria the prothallus, though flattened, is not bilaterally symmetrical, the growing point being on one side; a filamentous type of prothallus is known in Schizaea.
(Compare the definition of the class Chilopoda.) The movement of the legs in Diplopoda is like that of those of Peripatus, of the Phyllopod Crustacea, and of the parapodia of Chaetopoda, symmetrical and identical on the two sides of the body.
We might in a similar way find the values of y and z, but there is a more symmetrical process.
A determinant is symmetrical when every two elements symmetrically situated in regard to the dexter diagonal are equal to each other; if they are equal and opposite (that is, if the sum of the two elements be = o), this relation not extending to the diagonal elements themselves, which remain arbitrary, then the determinant is skew; but if the relation does extend to the diagonal terms (that is, if these are each = o), then the determinant is skew symmetrical; thus the determinants a, h, g a, v, - µ 0, v, - h, b, f - v, h, - v, 0, g,f,c c 12, - X, o are respectively symmetrical, skew and skew symmetrical: =0; a,b,c,d a' b' c' d'a" b c d" a, b, c, d a' b' c' d'a", b N' c N' dN,, , c d The theory admits of very extensive algebraic developments, and applications in algebraical geometry and other parts of mathematics.
The curve is symmetrical about the axis of x, and consists of two infinite branches asymptotic to the line BT and forming a cusp at the origin.
It is obvious that the curve is symmetrical about AA'.
If AA' be bisected at C, and the line BCB' be drawn perpendicular to AA', then it is readily seen that the curve is symmetrical about this line also; since if we take S' on AA' so that S'A' =SA, and a.
By varying the position of R other points can be found, and, since the curve is symmetrical about both the major and minor axes, it is obvious that any point may be reflected in both the axes, thus giving 3 additional points.
Crossed, inclined and horizontal dispersion are characterized respectively by a distribution of colour that is symmetrical with respect to the centre alone, the plane of the optic axes, and the perpendicular plane.
In spite of these differences between the two flanks, the structure is to some extent symmetrical.
The liver is tolerably symmetrical in general arrangement, being divided nearly equally into segments by a well-marked umbilical fissure.
A good type of Shire horse combines symmetrical outlines and bold, free action.
- Diagram of a completely symmetrical flower, consisting of four whorls, each of five parts.
A flower is said to be symmetrical when each of its whorls consists of an equal number of parts, or when the parts of any one whorl are multiples of that preceding it.
Thus, a symmetrical flower may have five sepals, five petals, five stamens and five carpels, or the number of any of these parts may be ten, twenty or some multiple of five.
23 is a diagram of a symmetrical flower, with five parts in each whorl, alternating with each other.
33 is a diagram of a symmetrical flower of stone-crop, with five sepals, five alternating petals, ten stamens and five carpels.
34 shows a symmetrical flower, with five parts in the three outer rows, and ten divisions in the inner.
In all these cases the flower is symmetrical.
In such circumstances, however, a flower has been called symmetrical, provided the parts of the other whorls are normal, - the permanent state of the pistil not being taken into account in determining symmetry.
38 shows a pentamerous symmetrical flower, with dimerous pistil.
- Diagrammatic section of a symmetrical pentamerous flower of Stone-crop (Sedum), consisting of five sepals (s), five petals (p) alternating with the sepals, ten stamens (a) in two rows, and five carpels (c) containing ovules.
It is pentamerous, complete, symmetrical and regular.
- Diagram of the trimerous symmetrical flower of Iris.
- Diagram of the symmetrical trimerous flower of Fritillary (Fritillaria).
In contrast with this are polysymmetrical or actinomorphic flowers, which have a radial symmetry and can be divided by several planes into several exactly similar portions; such are all regular, symmetrical flowers.
Alteration in the symmetrical arrangement as well as in the completeness and regularity of flowers has been traced to suppression or the non-development of parts, degeneration or imperfect formation, cohesion or union of parts of the same whorl, adhesion or union of the parts of different whorls, multiplication of parts, and deduplication (sometimes called chorisis) or splitting of parts.
This takes place chiefly in the staminal whorl, but usually the additional parts produced form a symmetrical whorl with the others.
The seed itself is of a Cycadean type, and radially symmetrical.
Other spiders weave these beautiful, symmetrical, ethereal webs whose designs have been the inspiration for art and mythology for as long as there were spiders, he explained.
This page assumes that you have already read the page on the addition of bromine to symmetrical alkenes.
Click on the links below to have a go at copying the ornate carvings on the columns, or creating a symmetrical ceiling rose.
Very grand proposals were were produced a main block with a vast dome, a portico and attached curved colonnades leading to symmetrical pavilions.
deflectionld understand the derivation for the deflexion of a beam under symmetrical 3-point bend testing.
When viewed from above, the fading effect should be symmetrical, having no clear demarcation.
depigmentation of the skin, leaving white, clearly defined patches, sometimes symmetrical, on the body.
Vitiligo is progressive depigmentation of the skin, leaving white, clearly defined patches, sometimes symmetrical, on the body.
symmetrical facade, sash windows ornate iron canopy to door.
fixity of purpose that creates a strange symmetrical unity of smoke clouds.
Apply these equations to the motion of symmetrical rotors, to explain the phenomena of precession, nutation and the rate gyroscope.
Square Wave: A symmetrical rectangular waveform which contain a series of odd harmonics.
ornate carvings on the columns, or creating a symmetrical ceiling rose.
These flowers hang upside down on the end of long peduncles, so the anthers are symmetrical.
The first dances are very symmetrical within the spirit of Bach's mathematically precise manner.
A daimyo procession placed in the center, the composition of this picture is symmetrical.
reciprocity relationship or symmetrical coupling between all energy modes.
In finding this, we advised the client to install a new fan with a symmetrical, well balanced rotor.
No-one will buy slippers that don't match, a container that isn't symmetrical or a mat that isn't flat.
stuccoed building in a classical style with symmetrical entrance front.
They have symmetrical firm soft tissue swellings of the lower legs.
symmetrical about a north south axis.
symmetrical about a bright center dot.
Was their once a third one to the west, making the group symmetrical?
symmetrical faÃ§ade is worthy of a closer look.
symmetrical facade with central doorway.
symmetrical coupling between all energy modes.
Arnold's report shows a bilaterally symmetrical craft that travels in the direction of the axis of symmetry.
A blade that is radially symmetrical is said to have zero skew.
In all the foregoing cases the two sides are perfectly symmetrical at an early period of growth.
For lagged profiles that extend on either side of measured cells, the resultant matrix will be approximately symmetrical along the leading diagonal.
The map is completely symmetrical, both planes are identical.
The main part of the level is highly symmetrical, but there are good features and details which make it very distinctive.
Makes it look more symmetrical, don't you think?
Atomic spectra generally consist of many sharp lines which, in the absence of spectral overlap, appear symmetrical.
As a result your body will become more symmetrical.
Typically, blades had been made symmetrical about the shaft.
symmetrical in shape, and are not as commonly found.
The symmetrical separation of the edges is produced and measured by a single screw; the fractions of a revolution of the screw are obtained by an index attached to one end of the screw, reading on a dial divided into loo equal parts.
45, p. 83), and are therefore more likely to produce errors which are not eliminated on reversal of the plate in cases where the screw range is not strictly limited, and the wear therefore not strictly symmetrical.
Thus it has a real centre, two foci, two directrices and two vertices; the transverse axis, joining the vertices, corresponds to the major axis of the ellipse, and the line through the centre and perpendicular to this axis is called the conjugate axis, and corresponds to the minor axis of the ellipse; about these axes the curve is symmetrical.
From this and other indications Professor Dorpfeld has inferred that the original plan of Mnesicles was to complete the south wing on a plan symmetrical with that of the north wing, but opening by a portico on to the bastion to the west; and to add on the inner side of the Propylaea two great halls, faced by porticoes almost in a line with the main portico, but with smaller columns.
Various forms, mostly patented, have been tried in the United States, but the one most generally adopted consists of two symmetrical angle bars (fig.
Diagram of the symmetrical trimerous flower of Fritillary (Fritillaries).
- The Chaetopoda are with but few exceptions (Myzostomida in part, Sternaspis) elongated worms, flattened or, more usually, cylindrical, and bilaterally symmetrical.
(After Robert.) A, Nearly symmetrical larva f, Foot.
The series H 2 S = - 61Ã‚°, CH 3 SH = 21 Ã‚°, (C 11 3) 2 S=41 Ã‚° is an example; in the first case, the molecular weight is increased and the symmetry diminished, the increase of boiling-point being 82Ã‚°; in the second case the molecular weight is again increased but the molecule assumes a more symmetrical configuration, hence the comparatively slight increase of 20Ã‚°.
The middle or third digit on both fore and hind feet larger than any of the others, and symmetrical in itself, the free border of the terminal phalanx being evenly rounded (see fig.
If any symmetrical determinant vanish and be bordered as shown below all a12 a13 Al a12 a22 a23 A2 a13 a23 a33 A3 Al A2 A3 Ã¯¿½ it is a perfect square when considered as a function of A 11 A2, A3.
Put (aox 3 -}-a l x 2 +a 2 x +a 3) (box' +b1x'+b2) - (aox'3+aix'2+a2x'+a3) (box' + bix + b2) = 0; after division by x-x the three equations are formed aobcx 2 = aobix+aob2 =0, aobix 2 + (aob2+a1b1-a2bo) x +alb2 -a3bo = 0, aob2x 2 +(a02-a3bo)x+a2b2-a3b1 =0 and thence the resultant aobo ao aob2 aob 1 aob2+a1b1-a2bo alb2-a3b0 aob 2 a1b2 - a 3 bo a2b2 - a3b1 which is a symmetrical determinant.
" The symmetric function (m Ã¯¿½8 m' 2s m Ã¯¿½3s ...) whose is 2s 3s partition is a specification of a separation of the function symbolized by (li'l2 2 l3 3 ...) is expressible as a linear function of symmetric functions symbolized by separations of (li 1 12 2 13 3 ...) and a symmetrical table may be thus formed."
either to the simple lateral tail feathers with a few rami only, developed only on one side of the shaft and of uniform metallic coloration - or to the simple contour feathers of small size, with the usual symmetrical series of numerous rami right and left of the shaft and no remarkable colouring.
His treatises are not only storehouses of ingenious methods, but models of symmetrical form.
The resulting aerial motion in front is readily calculated (see Rayleigh, Theory of Sound, § 278); it is symmetrical with respect to the origin, i.e.
Bamberger, Ber., 1893, 26, p. 2786): CsH5N :N N :N jC COC6H5 - C6H5NH2+C6H4K C 6 H5 NH N N:C 0006H5; by the reduction of symmetrical acyl-ortho-nitrophenyl hydrazines (e.g.
Reissert, Ber., 18 99, 3 2, p. 782), the chief product in this latter reaction being an isoindazolone: // CH2 NHC6H5 /CH2 NH C6H5 /CH2 NC6H5 C6H4 - C6H4 - C6 H4 NH 2 HCI N :NCI N=N The best drawn series of the triazines is the symmetrical or cyanidine series, members of which result from the condensation of acid anhydrides with aromatic amidines (A.
A salivary gland degenerates when its nerve-supply is cut off; and the nerves leading up to the symmetrical sloughs in Raynaud's disease have been found in an advanced state of degeneration (Affleck and Wiglesworth).
In the case of a steady motion of homogeneous liquid symmetrical about Ox, where 0 is advancing with velocity U, the equation (5) of § 34 p/p +V +Zq'2-f(,P') = constant becomes transformed into P +V + 2- dy + 2U 2 -f(t +2Uy 2) = constant, = 1,t+4Uy2, subject to the condition, from (4) § 34, Y -2 V = - f ' (Y', y 2 2 +2Uy2).
The cartesian equation to the curve is y=x cot 2a' which shows that the curve is symmetrical about the axis of y, and that it consists of a central portion flanked by infinite branches (fig.
Examining the tiger or the leopard, in all the beauty of their symmetrical adornment, we do not see in any one example an exact repetition of the same stripes or spots on each side of the mesial line.
Among flowers the orchids, with all their fantastic extravagance and mimic imitations of birds and insects, are especially prolific in examples of symmetrical effects without any repetition of similar parts or divisions into even numbers.
The displacement curve of the waves from a tuning-fork on its resonance box, or from the human voice sounding oo, are nearly smooth and symmetrical, as in fig.
A pair of triangular prisms having a common face, or a stellate crystal formed by the symmetrical interpenetration of two triangular prisms admits of two internal reflections by faces inclined at 120Ã‚°, and so give rise to two colourless images each at an angular distance of 120Ã‚° from the sun.
The numerical results of the civil service examinations are reduced so as to conform to a certain symmetrical "frequency-curve," of which the abscissae represent percentages of marks between definite limits and the ordinates the number of candidates obtaining marks between those limits.
Symmetrical (1.3.5) trinitrobenzene is formed by the further nitration of meta-dinitrobenzene with fuming sulphuric and nitric acids; by the action of hydrochloric acid on sodium malonyl aldehyde (H.
Lord Kelvin has classified electrometers into (I) Repulsion, (2) Attracted disk, and (3) Symmetrical electrometers (see VV.
It may also be obtained by oxidizing the symmetrical trinitrobenzene with potassium ferricyanide in alkaline solution (P. Hepp, Ann.
Known Echinoderms show the following features, imagined to be due to an ancestral pelmatozoic stage :- Increase in the coelomic cavities of the left side, and atrophy of those on the right; the dextral coil of the gut, recognizable in all classes, though often obscured; an incomplete secondary bilateralism about the plane including the main axis and the water-pore or its successor, the madreporite, often obscured by one or other of various tertiary bilateralisms; the change of the hydrocoel into a circumoral, arcuate or ring canal; development through a freeswimming, bilaterally symmetrical, ciliated larva, of which in many cases only a portion is transformed into the adult Echinoderm (where care of the brood has secondarily arisen, this larva is not developed).
- Tentacles more or less peltate; calcareous ring when present simple and radially symmetrical; no retractors; stone-canal often opens to exterior; genital tubes sometimes restricted to left side in consequence of altered position of gut (Fig.
The gametophyte, which is usually dorsiventral, though in some cases radially symmetrical (fig.
It is also consistent with Onsager 's reciprocity relationship or symmetrical coupling between all energy modes.
No-one will buy slippers that do n't match, a container that is n't symmetrical or a mat that is n't flat.
A large two-storey stuccoed building in a classical style with symmetrical entrance front.
It is six sided in trace and is symmetrical about a north south axis.
There should now be at least 7 dots visible on the screen symmetrical about a bright center dot.
The superbly symmetrical faÃ§ade is worthy of a closer look.
Three stories, three bays, a symmetrical facade with central doorway.
Letter from Baroness Hollis, minister for child support The letter rejects the proposed symmetrical formula.
Both hands are affected usually in a more or less symmetrical pattern.
Arnold 's report shows a bilaterally symmetrical craft that travels in the direction of the axis of symmetry.
Makes it look more symmetrical, do n't you think?
Other arrowheads were not symmetrical in shape, and are not as commonly found.
Pearl shapes include baroque, round, symmetrical, and irregular.
Symmetry: If you are wearing your blouse under a suit, you probably want a symmetrical design.
Symmetry: A symmetrical tree is one that will look fabulous when viewed from any angle.
Symmetry: When you look straight down the centerline of the bike, are items like mirrors and handlebars symmetrical or askew?
A symmetrical display with a centered piece of art or a plasma television screen may work well for you - or maybe your room needs to try one of the newer approaches for fireplace decorating.
Designers are now moving away from the symmetrical arrangements and replacing them with more asymmetrical, less stylized decorating ideas for fireplaces.
They key to a traditional interior is to keep things quiet, comfortable, symmetrical and, above all, personal.
If you're creating fresh flower arrangements, remember that odd numbered focal flowers in an arrangement appear more symmetrical as a whole.
Studies have shown that people find beauty in a balanced, symmetrical face.
Creating the illusion of symmetrical eyes is easy.
Getting your liner symmetrical can be intimidating, but you can create guides for yourself that help you along.
For example, eyes that are very asymmetrical or disproportioned (permanent eyeliner may be able to give the allusion of a more symmetrical look).
To make sure your pattern is symmetrical, go under the "View" menu and select "Grid" and "Rulers."
Cushing's disease also causes hair loss, but it is usually very symmetrical, appearing in mirror locations on either side of the body.
C. tinctoria is a pretty lawn tree of medium size and symmetrical growth, but not a good flowering tree.
The stems are much branched, and when allowed plenty of room the plants form perfect symmetrical specimens.
The varieties of I. setosa differ from those of I. laevigata in having broader and less-drooping petals, and the three inner petals are often of the same size as the outer, so that the flower is symmetrical.
T. minus forms compact slightly glaucous symmetrical tufts, 12 to 18 inches high.
They tend to be symmetrical and clipped, with neat hedges, straight pathways, and traditional plants such as boxwood, azaleas, and containers.
Some kitchen gardens are formal with pathways and symmetrical beds while others are more whimsical.
Beads can be arranged in many ways, including symmetrical patterns or random designs.
Gems centered in symmetrical knots in circular, square, or rectangular patterns.
Earring trees can be geometric and symmetrical or take on a more organic form.
Four-in-Hand: This necktie knot is the easiest to learn, but it's not symmetrical.
It's symmetrical, which makes it more versatile than the four-in-hand knot.
Solve the toy model puzzle by making it symmetrical.
Few children have perfectly symmetrical teeth and a perfect bite.
This stimulus results in a symmetrical extension of the infant's extremities while forming a C shape with the thumb and forefinger.
Symmetrical tonic neck reflex occurs with either the extension or flexion of the infant's head.
Diabetes usually causes a symmetrical glove-and-stocking distribution in the hands and feet.
IUGR is usually classified as symmetrical or asymmetrical.
In symmetrical IUGR weight, head and length are all below the tenth percentile and the baby's head and body are proportionately small.
Substance abuse and cigarette smoking, depending on dose and timing, can cause either symmetrical or asymmetrical IUGR.
Symmetrical IUGR may occur when the unborn baby experiences a problem during early development.
Outcomes for infants with IUGR differ depending on whether the condition is symmetrical or not and whether there are other sequelae from the underlying cause of the IUGR.
Infants with asymmetrical IUGR are more likely to catch up in growth after birth than are infants who suffer from prolonged symmetrical IUGR.
The Golden Ratio in a face means the face is symmetrical, in proportion and is perceived as beautiful.
Rather than blunt and symmetrical, a choppy bob usually has a more jagged and undefined edge to the bottom and the bangs.
While origami can be used to make everything from tiny paper cranes to boxes for party favors, tea bag folding almost always involves creating a symmetrical medallion.
Patterns vary from perfectly symmetrical to whimsical asymmetrical designs.
The modern Asscher cut, known as the Royal Asscher cut, has 74 facets which show off the stone's fire to advantage, and each cut is symmetrical and meets an exact measurement.
The two lobes forming the heart should be symmetrical.
Burberry's high quality means that the plaid is symmetrical and aligned throughout.
The design would work nicely in this area if the piece is relatively symmetrical.
For multiple navel piercings, it is possible to perform more than one piercing in a sitting, so the alignment of the markings must be carefully reviewed to ensure symmetrical jewelry placements.
One of the issues with multiple navel projects is trying to keep the healing project symmetrical.
In fact, many people feel that the image of the butterfly, with its symmetrical wings can also represent the Gemini.
If the pattern is not symmetrical, make sure you remember if you are going left or right on the chart when you turn your work over.
I saw a television program selling templates to use to make your own pop-up Christmas cards, but the technique is so simple you can do it without a template so long as you use a symmetrical image.
Scherenschnitte is a form of German paper cutting characterized by elaborate symmetrical designs.
For example, if you tend to have a small upper body but wide hips, building some upper body muscle will make you look more symmetrical.
Many women have breasts that aren't symmetrical or evenly matched in size, even if the difference is minimal.
Their prices range from around $49.95 for foam breast forms or $149.95 for Symmetrical Silicone Breast Forms, to $399.95 for "Skeeter Bites," advertised as the World's Largest Silicone Breast Forms.
The average swimsuit model is at least five feet, nine inches tall with a chiseled waist and symmetrical curves that make that waist look even smaller.
Lengths: Fold the dress in half to ensure that both sides are symmetrical.
The cultivated trees quickly grew in popularity due to their symmetrical shape and uniform appearance.
Brooches: A distinctive accent for a collar or scarf, Tiffany brooches come in a wide range of figural, symmetrical, and asymmetrical designs.
Symmetrical Accents: Most frequently, diamonds in the design are balanced accents to a central pearl.
The gem should be spherical and symmetrical, though slightly elongated pearls can often be set into rings to disguise the malformation.
The heart is a fancy diamond shape involving several planes and cuts to create the symmetrical pair of lobes and characteristic point.
Even with symmetrical lobes, a misaligned point can create the illusion of distortion.
Elaborate symmetrical knot patterns and interwoven braids along the entire band.
U Prong with Round Diamonds:This ring features a symmetrical U-shape prong setting in either 14K gold, 18K or platinum.
Symmetry: A well balanced, symmetrical ring is lovely on the finger.
Settings include channels, scatters, bezels, and other classic configurations as well as more unique symmetrical settings, waves, and checkerboard patterns.
Symmetrical knots, braids, and other woven patterns adorn Celtic rings, and many couples choose Celtic designs because of their symbolism.
Diamond and ruby eternity rings are the most popular type of balanced design, whether the gems completely encircle the ring or just create a lovely symmetrical pattern on the top portion of the band.
Since crosses are usually symmetrical, you should realize that the tattoo may eventually lose its balanced look if you place it somewhere on your body that is prone to change.
Since there is no structure except for underwiring and most sheer fabrics are flimsy, it is very difficult to find a bra that won't pucker or wrinkle around at least one breast, particularly since no woman's natural breasts are symmetrical.
While purchasing a set may initially seem to be the easiest way to coordinate a desired look, consumers should be aware that sets are designed for an idealized body shape with symmetrical proportions: an image that few women actually fit.
Free Kids Crafts has instructions for making a tea bag cross, which is unique because it is one of only a few tea bag projects that is not a symmetrical round medallion.
Art Deco: Art deco engagement rings use bold geometric patterns and colored gems that draw the eye to the symmetrical beauty of the ring.
It can be white, blue, red, or black, and is hardly ever symmetrical.
Regular moles are symmetrical in appearance and look similar to other moles on your body.
Of the tri-substitution derivatives, 1.2.3.-compounds are known as " adjacent " or " vicinal " (v), the 1.2.4 as " asymmetrical " (as), the 1.3.5 as " symmetrical " (s), of the tetrasubstitution derivatives, 184.108.40.206-compounds are known as " adjacent," 220.127.116.11 as " asymmetrical," and 18.104.22.168 as " symmetrical."
The word usage examples above have been gathered from various sources to reflect current and historial usage. They do not represent the opinions of YourDictionary.com.