Curvature In A Sentence

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• Furthermore, in two dimensions the Ricci curvature endomorphism is always a multiple of the identity ( scaled by Gauss curvature ).
• Hit the Curvature Evaluation icon, change the Evaluation Type to Mean and set the Curvature Color Scale Value to 3.
• Inexact graph matching, surface reconstruction and surface curvature analysis.
• A novel embedded curvature fiber optic sensor is developed, which based on the light intensity modulation by the variation of structure curvature.
• The siphuncle is ventral, near the outer, externally convex curvature.
• By traditional Romanian categorization it's included in the Curvature Carpathians.
• Objective To investigate root canal curvature in maxillary anterior teeth.
• The sum of these quantities gives the mean curvature ( zero since the helicoid is a minimal surface ) and the product gives the Gaussian curvature.
• We talk about gaussian curvature and covariant derivative which are intrinsic.
• The blended curvature of aspheres reduces scotoma, a ringed blind spot.
• Disinclinations correspond to curvature, which is why they are left out.
• In this case only, the surface corresponds to a curvature singularity.
• The design of this first floor emphasizes curvature and softening corners.
• To take another example, radii of curvature have isomorphic automorphism groups.
• Thus when viewing a biconvex lens from the side, the left surface radius of curvature is positive, and the right surface has a negative radius of curvature.
• Each bamboo strip is unique in its natural curvature or external features.
• The mean curvature of these surfaces is therefore convex towards the axis.
• The mean curvature of these surfaces is, therefore, concave towards the axis.
• Scoliosis is defined as a partly fixed lateral curvature of the spine.
• Formally, Gaussian curvature only depends on the Riemannian metric of the surface.
• Fusion of the spine makes it rigid and resistant to further curvature.
• The symptoms are attributed to curvature in his spine pressing on nerves.
• The curvature rate and well curvature plane angle can be used to make a good description of the influence of the well trajectory parameters on the side fo.
• A definition of DNA curvature has been made. The transformation matrix involving the angular parameters relating successive base-pair steps has been used to investigate the DNA curvature.
• It is capable of sensing membrane curvature by binding preferentially to curved membranes.
• They are also well-known for penile implant and penis curvature correction surgeries.
• This paper focuses on the forward and inverse proposition of streamline curvature method.
• These angles are referred to when the angle of the curvature is discussed.
• Both curvature effect and high temperature decrease the amplitude of the magnetic moments.
• It is now necessary to introduce a sign convention for radii of curvature.
• The mathematical description of anti-de Sitter space generalizes the idea of curvature.
• This shade is best meant for small windows with little curvature as well.
• Indeed, the curvature in very aggressive scoliosis can continue to progress despite bracing.
• They felt this would impart a pleasing curvature to an otherwise rectangular building.
• The forelimb claws they studied also fell within the climbing range of curvature.
• Consider a solution drop large enough that effects of curvature can be neglected.
• It produces rhizomelic short limbs, increased spinal curvature, and distortion of skull growth.
• Curvature of field: A lens fault in which a perfect image at all pionts on the flat film cannot be formed because the lens do not have the right curvature.
• Many road profilers also measure the pavement's cross slope, curvature, longitudinal gradient and cracks.
• Brazier showed that under steadily increasing curvature the bending moment reaches a maximum value.
• Some children with pectus carinatum also have scoliosis ( i . e ., curvature of the spine ).
• Specular surface is of high curvature the light will be tend to be focused.
• The uniformization theorem for universal covering space of surfaces with constant negative Gaussian curvature.
• The curvature of the bell has little effect on the sound of the instrument.
• The dam is a double-curvature concrete arch dam, high from the foundation rock.
• The cornea is a rapidly reproducing and repairable transparent structure with a constant curvature.
• Penis Curvature is a condition affecting a very large percentage of the male population.
• The curvature of the Rings makes it easier to handle large volumes of paper.
• Thus, Flamm's paraboloid is useful for visualizing the spatial curvature of the Schwarzschild metric.
• This disease, marked by a lateral curvature of the spine, hampers its longitudinal development.
• In the alternative case of thick gravitational waves, they are non-scalar curvature singularities.
• The subaffine elastica is the critical point of the total squared subaffine curvature functional.
• Spine: Focus on lengthening the spine to help reduce the characteristic curvature of scoliosis.
• A single curvature shell of an inscribed ellipsoid was used as the experimental shell.
• Hence a catenoid whose directrix coincides with the axis of revolution has at every point its principal radii of curvature equal and opposite, so that the mean curvature of the surface is zero.
• (2) A theorem relating to the apparent curvature of the geocentric path of a comet.
• Mathematical techniques like phase imaging or curvature sensing are also capable of providing wavefront estimations.
• The probability distribution function and the characteristic value of the curvature ductility factor are presented.
• By measuring the curvature of the tracks, the energy of the electrons to be estimated.
• The shell is small, nearly straight with a slight endogastric curvature and compressed cross section.
• Not everyone has the same degree of spinal curvature, and some may have spinal abnormalities.
• This type of surgery basically uses a laser to change the curvature of the cornea.
• A very thin, natural looking nail, with curvature and shape that matches my natural nail.
• I have gel polish on my skin and the curvature of the French isn't consistent.
• But since they lack the curvature of normal plier grips, they completely miss the boat.
• Also, infants with this type of EDS have an abnormal curvature of the spine (scoliosis).
• This would imply that roughness ( or tortuosity ) could be measured by relative change of curvature.
• The center of curvature of the streamline lies in the direction of decreasing radial pressure.
• Glistening lakes and marshes within, and see the curvature of the earth on the horizon.
• Lasik employs the use of a laser light to adjust the curvature of the cornea.
• The effect of different depth crackle to curvature mode was stood out as an emphasis.
• These include gravity, the curvature of the earth, and the shooter's own breathing and heartbeat.
• Also, I found it hard to get the curvature of the eyelash to match my eye.
• CURVES, TWISTS and BENDS gives case histories of children who suffer with curvature of the spine.
• A modern profilograph can provide data of both road curvature and cross slope ( angle of incline ).
• It explains the force of gravity in terms of the curvature of a space time continuum.
• That curvature is now permanent and can't be removed so we'll have to live with it.
• Positive curvature of edges can be trimmed away, if necessary, to give straight edges in plan.
• The curvature tensor can be identified by using an approach that was introduced in Chapter 3.
• Kyphosis-An extreme, abnormal outward curvature of the spine, with a hump at the upper back.
• Better results are obtained by relating the expected ELP to the axial length and corneal curvature.
• Therefore K 1 and K 2 have opposite signs and the Gaussian curvature K is negative.
• Moving headlamp beams that follow the curvature of the road help maintain visibility in these situations.
• Later reflectors were actually shaped with a cosecant-squared curvature, no longer a perfect parabolic section.
• Whether or not you appreciate that back curvature may depend a bit, however, on your build.
• Topographic factors such as hypsography and earth curvature are greatly responsible for remote sensing image distortion.
• The gravitational forces are the manifestation of space-time curvature due to the presence of matter.
• This paper presents a method to manufacture pipe elbows by hydro - bulging a tubular single - curvature polyhedron.
• The curvature of spacetime is intrinsic to spacetime, and I find this model to be a distraction.
• The curvature of the refracted ray in arc seconds per meter can be computed using the relationship.
• Its relationship both to the Gaussian curvature of two-dimensional surfaces and to tidal forces is discussed.
• Jinping High Arch Dam is the highest double - curvature thin arch dam in the world at present.
• Complete classification of affine spheres with constant cross section curvature in 4-dimensional affine space is given.
• From the curvature of the arc, I had already begun to estimate the position of the hub.
• She had a difficult labour as, having no details, the curvature of her spine was not detected.
• This method is based on the method of stream function and the method of stream-line curvature.
• The Acaroceratidae are characterized by small, slightly expanded, laterally compressed shells with a slight downward, ( endogastric ), curvature.
• The plane, with its crew of two, flies high enough to see the curvature of the Earth.
• curvature scale space filtering of a 2-D contour generally produces successively smoother versions of that contour.
• In particular, the derivative of the tangential angle with respect to arclength is equal to the curvature.
• Geometrically, they are related to the local curvature of the function's image at all points in the domain.
• (io) Now ds - sin a (II) The radius of curvature of the meridian section is ds R1= a.
• What causes curvature of the spine in children and how can surgery be used to minimize its effect?.
• The second term represents the required centripetal acceleration for the airship to follow the curvature of the earth.
• Digital x rays were taken and a curvature of my spine was apparent from slouching all the time.
• They would also give rise to a smaller Schwarzschild mass parameter, and hence greater curvature on the horizon.
• Spastic, hypertonic muscles can cause serious orthopedic problems, including curvature of the spine (scoliosis), hip dislocation, or contractures.
• It is founded that the size of curvature difference envelop curve can detect that of pre-stress losses.
• The radius of curvature, centre thickness, and centering error of a lens can be meased by this method.
• The double curvature in the roof design is what provides support which is further stabilized through pretensioned guy wires.
• By changing the knot span lengths, more sample points can be used in regions where the curvature is high.
• Thereafter, the specimens were carefully opened along the greater curvature, laid on and pinned out on a flat surface.
• The doctor simply asks the child to bend forward while the back is examined for changes in the curvature.
• In fact, it is difficult to obtain zero curvature radius at the tip of crack because of narrow ligamentum .
• To observe the value of clinical application about a novel cervical traction apparatus that could recover cervical lordotic curvature.
• But the range of ground surveillance systems, nomatterhow sophisticated, is inevitably restricted by the curvature of the earth's surface.
• A semi-circular rotunda encases the stairwell and original wood panel doors follow the curvature of the surrounding walls.
• The greater curvature is supplied by the right gastro-omental artery inferiorly and the left gastro-omental artery superiorly.
• Researched friction loss and ultimate strength of external prestressing tendon considering deviator curvature radius and bending angle of prestressing tendon.
• Each constraint can be a point, angle, or curvature ( which is the reciprocal of the radius of an osculating circle ).
• Delayed self-pollination by curvature of stigma-lobes occurs in flowers of Kosteletzkya virginica, when pollinators are scarce or absent.
• The development degree and predominant direction of extensional fracture relate to deformational curvature produced after force is exerted on rock.
• In all such cases, there is no component to plan convexity, any curvature being entirely orthogonal to the xy plane.
• Plano-convex lens is placed with its curved surface with radius of curvature R resting on a plane glass surface.
• At any point a sounding line would hang in the line of the radius of curvature of the water surface.
• In the setting with nonnegative Ricci curvature and a uniform lower bound on volume, the GH and SWIF limits agree.
• I purchased 2 of them as I do a lot of grilling after the sun hides behind the earth's curvature.
• Melnikov and Verdera ( 1995 ) showed the precise relation of the boundedness of the Cauchy kernel to the curvature of measures.
• The charactistic of hyperbolical curvature surface is analyzed. The problem traditional 5-axis ATL machine encountered and countermeasure is presented.
• As you gaze out miles to the blue horizon, it feels like you can sense the curvature of the Earth.
• Methods:Analysis was done with mydriatic and computer optometry to measure corneal curvature and determine the length of the optic axis.
• The columns have a very strong entasis or curvature down their length, an indication of an early date of construction.
• - In conclusion a little may be said as to curves of double curvature, otherwise twisted curves or curves in space.
• This corresponds to the parabola-shaped optical path difference between two spherical wavefronts that are tangent at their radii of curvature.
• Electron-beam irradiation induces the curvature of surfactant-inorganic layers system, leading to vesiculation of hybrid of surfactant and calcium phosphate.
• Spaces with more than two dimensions require more than a single parameter to describe the Gaussian curvature at a given point.
• In order to extend the discussion beyond the sphere we must introduce a definition of curvature valid for any such surface.
• In this study , the preoperative and postoperative keratometric measurement were compared to detect the possible factors involving changes of corneal curvature.
• How does one calculate ( in simple tems ) the focal point of a parabole according ( I imagine ) to the angle of curvature?.
• Now, in practice the astronaut would not drift across like this as the curvature of the walls would be far less.
• Jacob Bernoulli also discovered a general method to determine evolutes of a curve as the envelope of its circles of curvature.
• It will only visit flowers whole congeneric plants with flowers of slightly different length and curvature are avoided on the other hand.
• Empirical rules, which take into account the non-neighbor interactions between the base-pair steps, have been presented to predict DNA curvature.
• Thus, it fitted together very much like a toy railway, using preassembled track sections which are either straight or of fixed curvature.
• Then-dimensional umbilical submanifolds in a Riemannian manifold of quasi constant curvature are discussed. Two theorems on the above submanifolds are obtained.
• A linear error in the spacing, and a general curvature of the lines, are eliminated in the ordinary use of a grating.
• The extra dimensions introduce a correction term into the equations, which ensures that the curvature of an empty brane is not zero .
• The theory behind the procedure was that eyesight normalizes, sometimes fully, as the incisions heal and the curvature of the cornea alters.
• Owing to the curvature of the image, all parts of the object are not seen distinctly at one and the same time.
• This definition uses that the mean curvature is half of the umbilic, in which case it is a piece of a sphere.
• In this paper, the pressure angle and minimal radius of curvature of cam mechanism with swinging roller follower are discussed in details.
• This paper is concerned with a turbulence mathematical model under orthogonal curvilinear coordinates including the effects of streamline curvature on turbulent flow.
• Small mass translates into a large curvature of the polariton spectrum and additional roots for the momentum at a given wave frequency.
• In the case of considering the misfit dislocation, relaxed lattice mismatch, the radius of curvature and density of misfit dislocation were calculated.
• In this paper, we discuss Laplacian smoothing and modified methods, mean curvature flow, PDE method and the smoothing method based on directions.
• She instead appears to have been generally obese, a condition that was exaggerated by excessive lordosis or curvature of the lower spine.
• Kyphosis. Kyphosis is an abnormal outward curvature of the spine at the back, sometimes called hunchback when it occurs in the upper back.
• The latter first research the properties of earth curvature and atmospheric refraction, then estimate the altitude by increasing the radius of the earth.
• The differences in cell structure and magnitudes of cell layers between adaxial and abaxial sides may be the structural fundamentals of style curvature.
• Kyphosis, depending on the extent of curvature can result in many discomforts including breathing and digestion difficulties, cardiovascular issues, and even neurological deformities.
• Overall ellesmerocerids are characterized by moderate endogastric curvature, and a marginal siphuncle with irregular diaphragms, ellipochoanitic septal necks, and thick complex connecting rings.
• Fast visible image of an ELM in MAST Measurements of neoclassical island evolution appearing to confirm the strong stabilizing role of field curvature effects.
• This destroys the beauty of the field equations, which attribute the source of curvature entirely to matter as represented by the stress-energy tensor.
• - When the internal pressure is equal to the external, the film forms a surface of which the mean curvature at every point is zero.
• Einstein manifold is a particular kind of Riemannian Manifold, it has good characters, its definition is weaker than Riemannian Manifold with constant sectional curvature.
• However, there appears to be two conditions with increased incidence in the breed : lordosis ( excessive curvature of the spine ) and pectus excavatum ( hollowed chest ).
• The curvature ductility ratio of cross- section for inequal - leg T - shaped, L - shaped and cross-shaped columns are computed by the numerical method.
• The curvature ductility ratio of cross- section for inequal - leg t-shaped, L - shaped and cross- shaped columns are computed by the numerical method.
• Since the spherometer is essentially a type of micrometer, it can be employed for purposes other than measuring the curvature of a spherical surface.
• In the skeletal system, ribs may be absent, and hemivertebrae, syndactyly ( fusion of fingers together ), and clinodactyly ( curvature of the fifth finger ) may be present.
• Waves on the surface of a liquid are subject to two restoring forces, the downward force of gravity and the surface tension which resists curvature.
• Now if the pressure is equal on both sides of a liquid film, and if its mean curvature is zero, it will be in equilibrium.
• The five-line method of spherical heliostat is recommended in the paper. By means of this method the spherical mirror with two curvature is an...
• Two-dimensional incompressible turbulent boundary layer growth on the blades is calculated taking into account the blade surface curvature effect and also the rotational effect.
• The problem of radiolocation is easily reduced to the Minkowski problem in Euclidean 3-space : restoration of convex shape over the given Gauss surface curvature.
• The marked curvature of the vertebral column, by breaking the shock to the neck and head in running and leaping, likewise favours the erect position.
• He blamed corsets for tuberculosis, cancer and curvature of the spine and many other illnesses which in fact were due to the prevailing sanitary conditions.
• But the curvature of space does create phenomena that we can observe with the best telescopes on Earth, and naturally with the sharp-sighted Hubble.
• The condition impacts bone and cartilage development and has many physical symptoms beyond short stature including club foot, hitchhiker's thumb and curvature of the spine.
• The vertebral column of the gorilla differs from that of man in its curvature and other characters, as also does the conformation of its narrow pelvis.
• It follows from Theorema Egregium that under this bending the Gaussian curvature at any two corresponding points of the catenoid and helicoid is always the same.
• While a small degree of lateral curvature does not cause any medical problems, larger curves can cause postural imbalance and lead to muscle fatigue and pain.
• Light-wave belongs to a high frequency electromagnetic wave. Thus, the theory of the curvature model optical fiber sensor is emulated and computed based on electromagnetism.
• Objective To investigate the clinical efficacy of traction, acupuncture and massotherapy as a composite treatment for cervical spondylopathy of cervical curvature change and the imaging changes.
• It is remarkable that setup of cross beam, length of curvature radius and eccentric distance of bearing affect internal force and deformation in curved girder bridge .
• The confocal laser cavity consisted of a spherical mirror at the output end with a flat mirror at the center of curvature at the other end.
• The normal and curvature of point cloud model are estimated with PCA (Principal Component Analysis). The adjustment of normal direction is achieved by using Minimum Spanning Tree.
• A key limitation of the picture shown here is that we can only portray the curvature of a 2-dimensional plane of an actual 3-dimensional space.
• For once, I am glad to show off my bow legs, eager to match their curvature with that of legs that have spent countless hours riding the range.
• Based on the corneal data, the effects of equivalent refractive index and error in radius of curvature on the corneal vergence measurement after refractive surgery are studied theoretically.
• When the wave number is such that the radius of curvature of the wave dominates that of the radius of the stream, such components will decay over time.
• For a system composed of simple lenses and mirrors, the axis passes through the center of curvature of each surface, and coincides with the axis of rotational symmetry.
• Since the corrector plate is at the center of curvature of the primary mirror in this design the tube length can be very long for a wide-field telescope.
• In the iconography of lordotic women, that is, those with a concave curvature of the lower back that would tilt the uterus out of alignment with the birth canal.
• If therapeutic measures reduce symptoms, but not the measurable degree of lordotic curvature, this could be viewed as a successful outcome of treatment, though based solely on subjective data.
• In this paper, we discuss the effect of the Earth's oblateness and ionosphere on the retrieval, and analyze the result of the local curvature correction and the ionosphere calibration.
• In view of difficulties in the control on the curvature of the inner surface of CRT screen, we developed the compensation system for the inner surface shaping of CRT screen.
• The curvature occasionally shows itself among horizontal or gently inclined strata in the form of an abrupt inclination, and then an immediate resumption of the previous flat or sloping character.
• The space curvature of neutron density of this solution is changed according to the changes of reactor power, so it is more precise than the analytic solution of point reactor model.
• There are notable exceptions such as the circle, the cycloid, epi-and hypocycloids, and the catenary, but even for an ellipse finding curvature as a function of arc length is difficult.
• There are a lot of evidences indicating that the role of actin cytoskeleton in regulating auxin polar transport, which in- duces a lateral gradient of auxin and results in plant organ curvature.
• The surgical procedure for scoliosis is called spinal fusion, because the goal is to straighten the spine as much as possible and then to fuse the vertebrae together to prevent further curvature.
• When the expression of internal force and vertical deflection for the double curvature flat shell discussed in this article is used, the result gained is the same with that by Navier method.
• Profile with bigger section modulus of bending will be more difficult to bend, and the bigger the distance from neutral surface to the axis of the roller, the smaller the curvature radius.
• We know that the radius of curvature of a surface of revolution in the plane normal to the meridian plane is the portion of the normal intercepted by the axis of revolution.
• In the shape and curvature of the horns, which at first incline outwards and forwards, and then bend somewhat upwards and inwards, this breed of cattle resembles the aurochs and the (by comparison) dw
• Surgery is recommended at a much lower degree of curvature for DMD than for scoliosis due to other conditions, since the decline in respiratory function in DMD makes surgery at a later time dangerous.
• And five of them have cracked vertically, owing apparently to the impossibility of the base of the dam partaking of the changes of curvature induced by changes of temperature and of moisture in the up
• To measure the radius of a sphere-e . g . the curvature of a lens-the spherometer is levelled and read, then placed on the sphere, adjusted until the four points exert equal pressure, and read again.
• In attempting to calculate the effect of this surface-tension in determining the form of a drop of the liquid, Segner took account of the curvature of a meridian section of the drop, but neglected the
• If a surface intended to be flat is affected with a slight general curvature, a remedy may be found in an alteration of focus, and the remedy is the less complete as the reflection is more oblique.
• Denote the center of Curvature at by. When the point moves along the plane curve, the trace curve of the point is called the evolute of the curve, denoted by, and is called the involute of the curve.
• When a root comes in contact at its tip with scme hard body, such as might impede its progress, a curvature of the growing part is set up, which takes the young tip away from the stone, or what-not, w
• Then if 0 is the centre of curvature in the plane of the paper, and BO =u, I _ cos sinew u R 1 R2 Let POQ=o, PO=r, PQ=f, BP=z, f 2 = u 2 +r 2 -2ur cos 0 (26) The element of the stratum at Q may be exp