ellipsoid

In this paper, unit moving trihedron is first constructed for a point on the surface of a revolution ellipsoid.

Ellipsoid blue white and color as the national flag, is the top one, "May the sun, " with the flag symbolizes.

The interrelation between the signs of the birefringence in the planes of symmetry can be deduced from the index ellipsoid .

Fruit a drupaceous capsule, ellipsoid-ovoid, puberulent, 1-seeded, perianth persistent, style persistent and developing into a beak.

filaments glabrous; anther locules connate, slightly divergent proximally, ellipsoid, longitudinally dehiscent.

In this paper, a double-ellipsoid heat source model was used for simulating the welding heat source of bogie frame.

anthers ellipsoid, basifixed, locules parallel, longitudinally dehiscent.

Stigmas capitate. Achenes exceeding persistent perianth, brown, shiny, broadly ellipsoid, trigonous.

Achene brownish, ellipsoid-ovoid, ca. 1 mm, compressed, almost not oblique, smooth or verrucose, with a slightly elevated ring by margin.

Seeds ellipsoid to suborbicular, broad, margin with a round membranous wing.

The IMP ellipsoid is equivalent to the arbitrary shape of structural object for the description and analysis of deformation.

An evergreen tropical American tree(Theobroma cacao) having leathery, ellipsoid, ten-ribbed fruits borne on the trunks and older branches.

Then, under the bound assumption of the disturbance energy, another ellipsoid containing all perturbed trajectories is determined.

The ellipsoid model is the first part of a spatial reference system definition.

In missile optics, ellipsoid domes are adopted, which have larger ratio of length to diameter than conventional hemispherical domes.

Finally, the nodal flexibility nature is evaluated with flexible ellipsoid for the tension structures.

ovules numerous; placentation axile. Styles 2. Capsule ovoid, globose, or ellipsoid, dehiscing longitudinally or irregularly; pericarp thin.

filament filiform; anther ellipsoid or cylindric, apex mucronate or apiculate, connective narrow.

Figs axillary on normal leafy shoots, solitary or paired, red when mature, conic-ellipsoid, slightly tuberculate, sessile.

Guitar berries after flowering, fruit ellipsoid, with a round ball.

A single curvature shell of an inscribed ellipsoid was used as the experimental shell.

So we place the scene node 50 units over the center of the ellipsoid with this parameter.

A method to reconstruct ellipsoid from its occluding contours observed in three images is also presented.

Analytic solutions of post-Newton metric component were got by series expansion in oblate ellipsoid coordinate system.

Berry ovoid or ellipsoid, apex different in texture from base, exocarp smooth, explosively dehiscent at maturity.

Aiming at long-range missile, eccentricity of acceleration of gravity was studied considering the globe as ellipsoid.

According to the ellipsoid of refractive index of biaxial crystal , this paper discussed the propagation of energy in crystal .

But the high is to take on the ellipsoid of the Earth based on the normal, is not engineering standards required for elevation (normal).

Ultimate leaf segments densely hairy; fruit oblong-ellipsoid; ribs inconspicuous.

In nonlinear system state bounding estimation, an extended optimal bounding ellipsoid (EOBE) state estimation algorithm is presented.

filament filiform; anther cylindric to ellipsoid, connective narrow.

filament filiform; anther ellipsoid or cylindric, connective narrow.

upper lemma laterally compressed, obliquely ellipsoid, cartilaginous to coriaceous, margins flat or inrolled.

anthers dimorphic: reflexed oblong-ellipsoid and erect ovoid, sparsely villous.

Ovary ellipsoid (drum-shaped), glabrous. Stigma conical, spirally ridged.

Post-Newton metric was got inside and outside a uniform uncompressed ideal fluid oblate ellipsoid at rigid rotation.

Capsule dark brown to blackish brown, broadly ellipsoid to ovoid; inner perianth segments ovate to elliptic.

The Earth is an ellipsoid, slightly flattened at the poles and bulging at the equator.

Leaves glabrous; petiole without wings; utricles ellipsoid.

For a man who thought his best talent was throwing an inflated ellipsoid a long way, I've been fortunate in my career.

Berry red, purplish, orange, or yellowish, globose or ellipsoid, fleshy, mealy, or leathery.

Achene yellowish green, broadly ellipsoid-ovoid, slightly compressed, ca. 1 mm, smooth, invested by persistent perianth lobes.

Current year branchlets yellowish brown; sepals ovate, glabrous, margin not ciliolate, apex acute; fruit ovate-ellipsoid.

Capsule subglobose to broadly ellipsoid, apex not mucronate; inflorescences corymbose, flowers lax.

Oncolite color with gray and brown, the shape of oncolite is globosity, ellipsoid, oblatus and tuberose.

winter buds silvery white, cylindric-ellipsoid or cylindric, scales fringed at margin.

Two poles of the Earth is a little flat, a little drum of the equator ellipsoid.

The proper determination of S-N mixed boundary value problem on the reference ellipsoid is studied in this paper.

Seeds several in a follicle, ellipsoid-globose, smooth.

Then choose a type of gradient from the list: Linear, Axial, Radial, Ellipsoid, Square or Rectangular.

Finally, the double-ellipsoid method is used to translate time-domain hard constraints into LMI conditions.

Drupe compressed ellipsoid, with nonaccrescent persistent calyx.

follicles long ellipsoid, obovoid or ovoid, apex obtuse or abruptly mucronate.

Seeds numerous, ellipsoid, with longitudinal ribs.

Capsule ellipsoid-oblong, shorter than persistent calyx.

Setting it to 1 will restrict spawn locations to the outer-most range of the ellipsoid.

anthers oblong. Ovary ellipsoid, trigonous.

This paper gives a further study on level characteristics of parameter ellipsoid.

The conversion from ellipsoid to optometric height requires a geoid height model.

Capsule ellipsoid, apex rounded; leaf blade suborbicular to ovate.

Seeds ellipsoid, glabrous, nearly without endosperm, with thickened tissue at micropylar end.

Trees evergreen. Winter buds ovoid to ellipsoid, with decussate scales.

Capsule ellipsoid, leathery, not enclosed in or sitting on fleshy perianth parts, 1-locular, laterally split along one side.

A design of ellipsoid of the plane is to reduce air resistance.

The definitions of ellipsoid, geoid, mean sea level, and chart datum are introduced.

Fruit a drupe, ovoid, ellipsoid, or lens-shaped, with many areoles when dry, crowned with persistent styles, usually 1-seeded.

Capsule subglobose or ellipsoid, 3-valved, dehiscent or not; pericarp thin.

Achenes included in persistent perianth, shiny, narrowly ellipsoid, trigonous, ca. 2 mm, smooth.

Using mismatched ellipsoid models in your data is not generally a major problem.

Capsules ovoid to narrowly ellipsoid, septicidal, 4-valvate, several-seeded. Seeds winged.

Also, the maximal ellipsoid that is invariant can be calculated analytically by solving the quadratic inequality.

Seeds ellipsoid, dark brown, partly covered by orange aril. Fl. unknown, fr. Oct.

Young leaves and flowers rust-colored tomentulose; fruit purplish black, obovoid to ellipsoid.

stigmas capitate. Achenes slightly exceeding persistent perianth, black-brown, shiny, ellipsoid, trigonous, 4-5 mm, tapered at both ends.

Fruits ellipsoid-ovoid; leaf blade slightly falcate.

Style thick. Fruit a capsule, obovoid to ellipsoid, dehiscent.

Seeds deep blue to purple at maturity, berrylike, globose or ellipsoid.

Seeds several per follicle, ellipsoid-globose.

Seeds blue at maturity, berrylike, ellipsoid to globose.

Seeds brownish black, trigonous-ellipsoid, ca. 3 mm, glabrous or sparsely floccose at margin and hilum.

When the aspect ratio of the ellipsoid equal to 1 , the ground state binding energy is a steady minimum value.

Seeds light brown, ellipsoid, wingless.

winter buds oblong-ellipsoid, glabrous.

Leaf sheaths pubescent; fruit suborbicular to ellipsoid; vittae 2 on commissure.

Capsule glabrous or near so, ellipsoid, apex without short beak.

Capsule broadly ellipsoid, ca. as long as tepals or slightly shorter.

Achene ellipsoid-ovoid, ca. 1. 5 mm, compressed, with a purplish ring on both surfaces.

Calyx ellipsoid or ovoid, rarely subglobose, base not attenuate; fruit base rounded.

Seeds ellipsoid, dark brown, partly covered by orange-red aril.

Carpels nearly free, erect, ellipsoid.

Seeds ellipsoid; seed coat reticulate.

anthers dorsifixed, versatile, ellipsoid to narrowly so.

Buds yellowish brown, long ellipsoid-ovoid.

Seeds ellipsoid, sometimes only 1 developing, arillate.

Fruit long ellipsoid, to 13 mm; sepals ovate to long ovate, outside pubescent or glabrescent.

style glabrous. Capsule oblong to ellipsoid, ca. 4 cm, glabrous, with pale lenticels.

Stigma capitate. Berry ovoid or ellipsoid.

Fruit a 5-winged capsule, ellipsoid, loculicidally dehiscent, wings veined, membranous.

Capsules yellow, usually ellipsoid, to 3 cm in diam. , woody, with dense conical spines.

Aggregate fruit globose or ellipsoid; epicalyx segments linear-lanceolate or linear, apex entire or lobed; leaflets 3 or 5.

Flowers bisexual, globose to ellipsoid in bud.

Drupe white to reddish, black when dry, ellipsoid, ca. 4 mm, enclosed in persistent calyx.

Flowers bisexual, ellipsoid to obovoid, or narrowly so or subcylindric in bud.

There were more starch granules of cake and ellipsoid shape in Wanmai38, but more starch granules of cake and ball shape in Yangmai9.

Leaf blade apically acuminate; drupe ellipsoid.

bracteoles linear. Achenes ellipsoid, 6-ribbed.

Capsule 3-valved, often recurved, globose, ovoid, or ellipsoid.

Capsule ellipsoid, ca. 1 cm, glabrous, usually dotlike yellow-brown glandular, apex acuminate.

Capsule narrowly ellipsoid, trigonous, 6--7 mm (excluding apiculus), acute at both ends, apiculate at apex.

Capsule oblong-ovoid to narrowly ellipsoid, ca. 4 cm. Seeds narrowly winged.

Capsule held at right angle to pedicel, narrowly ellipsoid, ca. 3 cm, apex long beaked.

Achenes blackish brown, shiny, ellipsoid, trigonous, ca. 2 mm.

Capsule ellipsoid, ca. 7 mm, glabrous, often with brown glandular dots.

Seeds ellipsoid, ca. 6 mm in diam. , brown, with yellowish spot-stripes.

Capsule ellipsoid, ca. 10 mm, coarsely gray-brown strigose. Fl. Oct.

Leaf sheaths spinulose; fruit ellipsoid to narrow-ellipsoid; vittae 4 on commissure.

style glabrous. Capsule pyriform to ellipsoid or globose, ca. 4 cm in diam.

Berry purplish brown, ellipsoid, ca. 3 cm, fleshy, 6-ridged, with persistent perianth lobes.

winter buds oblong or ellipsoid, glabrous, scales 2 pairs.

Achenes included in persistent perianth, shiny, ellipsoid, biconvex, ca. 2. 5 mm.

Capsule ellipsoid, ca. as long as calyx.

Capsule 3-valved, ovoid, ellipsoid, or globose.

Fruit ellipsoid to ovoid but pyriform when young, ca. 3 cm in diam. . .

Fruit ovoid; achenes ellipsoid, with 2 rows of bristles per rib.

Capsule ellipsoid, slightly shorter than persistent tepals, 3- or 4-valved.

Capsule long ellipsoid, ovoid-ellipsoid, or ovoid, septicidal, 4- or 5-valvate.

Calyx ellipsoid, ca. 2 mm, limb annular, margin repand.

Berry globose to ellipsoid, with enlarged persistent brown calyx, 1--4-seeded.

Capsule ellipsoid, 5-angular, ca. 2 cm in diam. , stellate puberulent, loculicidally dehiscent.

Seeds usually 2 per locule, sometimes 3, ellipsoid, dark brown, arillate.

Berry ellipsoid, ca. 5 mm, stylar foot nipple-shaped.

Capsule oblong-ellipsoid, 5-7 cm, apex beaked; seeds aggregated into groups.

Capsule narrowly ellipsoid or obovoid, 5-angled, ca. 1. 5 cm, densely yellowish brown stellate puberulent.

Fruit grayish white, broadly ellipsoid, 3-4 mm, apical part narrow, apically with persistent calyx lobes.

Seeds numerous, variable in shape and size, usually obovoid to ellipsoid, 2. 5-3 cm, hilar region large, silvery gray.

Seed flattened ellipsoid, ca. 4. 5 mm, surface mat, slightly furrowed.

Capsule oblong or ellipsoid, 7-18 mm, apex acute, pericarp hard, glabrous.

Seeds deep blue at maturity, ellipsoid, ca. 8 mm in diam.

A method of cross-locating based on ellipsoid model of globe is proposed.

Fruit baccate, globose, ovoid, or ellipsoid, with 2-60 seeds per locule.

Capsule black-brown to brown, shiny, trigonous oblong to trigonous ellipsoid, 2. 6--3 mm, apex mucronate.

Capsule narrowly ellipsoid, 1-1. 5 cm, somewhat compressed, included in persistent calyx.

Capsule ellipsoid, 6-8 mm in diam. , puberulent, tubercle.

Calyx ellipsoid, ca. 2 mm, limb annular, entire or minutely 4-toothed.

Drupe ellipsoid, crowned by persistent calyx, splitting into 3-5 1-seeded segments when mature.

Capsule salmon red, globose or ellipsoid, 1--1. 5 cm in diam. , pubescent, apex with persistent calyx.

Aggregate fruit ellipsoid, ca. 5 mm in diam.

Fruit ellipsoid, sometimes ovoid, 4-5 mm in diam. , reddish or yellow; never epiparasitic.

Drupe red, ellipsoid, 4-5 mm, often enclosed in persistent calyx.

Capsules ellipsoid, ca. 1 cm, shortly rostrate at apex, 1-seeded.

Drupe red when ripe, ellipsoid, 6-8 mm, laterally compressed.

ovary superior, ovoid or ellipsoid, 3(-5)-loculed, each locule with many ovules on axle placenta.

Achenes brown, shiny, ellipsoid, 2. 5-3 mm, sharply trigonous, base narrow, apex acute.

Achenes brown, shiny, ellipsoid, sharply trigonous, 2. 5-3 mm, base narrow, apex acute.

Fruit ellipsoid-globose, ca. 5 mm in diam.

Drupes cylindric-ellipsoid, 0. 6--1 cm, glabrous, apex with persistent calyx lobes.

Fruit blue at maturity, subglobose to ellipsoid, ca. 2 cm in diam.

Leaf blade abaxially brownish villous; capsule ellipsoid, pedicel 1--2 cm.

Carpels free, ellipsoid, ca. 5 mm.

anthers oblong to narrowly ovate, 5--7 mm. Ovary ellipsoid to ovoid, glabrous, 2-locular.

Buds brown or yellowish brown, oblong-ovoid to ellipsoid, (3-)4-7 mm, pubescent, apex acute.

Achenes ellipsoid or ovoid, ca. 1 mm.

Capsule ellipsoid, 7-9 mm, glabrous, apex obtuse.

Capsules ovoid-ellipsoid, 6-8 mm. Seed coat cristate.

Ovary glabrous. Fruit black, ellipsoid, ca. 1. 5 cm in diam.

Drupes cylindrical to ellipsoid, 7--10 X ca. 4 mm, apex with persistent erect calyx lobes.

Seeds obovoid to ellipsoid, ca. 0. 5 mm, reticulate.

Anthers blue, 1. 5--2 mm. Ovary ellipsoid-ovoid, indistinctly angular.

Achene oblong-ellipsoid, 3-4 mm, verrucose.

Achenes yellow-brown, shiny, ellipsoid, sharply trigonous, 1. 5-2 mm.

Drupes yellow when ripe and black when dry, ellipsoid to obovoid-ellipsoid, 1. 5-2 cm.

Capsule narrowly ellipsoid, ca. 8 cm, base tapering into 1-2 cm stipe, apex acute.

Fruit indehiscent, yellowish brown when mature, subglobose, ellipsoid, or obovoid, 1-1. 4 cm in diam.

Capsules ovoid to ellipsoid, 5--6 X ca. 2 mm, glabrous or stellate tomentose.

Fruit subglobose to ellipsoid, ca. 7 mm in diam.

Drupe usually 1 per infructescence, red or white, usually ellipsoid, papilliferous, 0. 7-1 cm in diam.

Stamens 5--7 mm; free portion of anther connective transversely ellipsoid or subglobose, ca. 1 mm.

Seeds ellipsoid, 3-4 mm in diam. , black-brown, basally covered by aril.

Capsule narrowly ellipsoid, 5-angled, 2. 5-3 cm, apex obtuse or rounded, yellow-brown puberulent.

Berry obovoid or ellipsoid, 1- or 2-seeded.

Capsule ellipsoid-ovoid, 1--1. 5 cm, protruding from calyx tube.

Mature bud tubular, 3-4 cm, tip ellipsoid.

follicles ellipsoid or ovoid, 1. 2-1. 5 cm long, apex with short and curved tip, outside inconspicuously sparsely lenticeled.

Calyx ellipsoid, ca. 4-5 mm, limb annular, minutely 4-toothed.

Seeds ellipsoid, 3-4 mm in diam. , basally covered by white aril.

Calyx ellipsoid, ca. 3 mm, limb annular, ca. 0. 7 mm, margin repand.

Plant short, 0. 4-0. 8 m tall; stem leaves ovate to narrowly ovate; fruit rhomboid-ellipsoid.

Fruit a capsule, ellipsoid or obconical, 5-loculed, loculicidally dehiscent, wings 5, thin. Seeds 1 per cell.

There are only finite terms in series in this problem, so results can be used to study particle movement near the ellipsoid.

Nut broadly ellipsoid to subglobose, adnate to cupule except apically, apex flat, wall 1. 5-4 mm thick and firmly woody.

Seeds light brown, broadly ellipsoid to subglobose, 1. 2-1. 5 mm, longitudinally rugose, both ends winged.

Fruit subglobose or sometimes grading to ellipsoid, pyriform, or broadly conic, 0. 5-1. 5 cm in diam.

There were three kinds of starch granules in endosperm cells, which was cake, ellipsoid, ball shape, respectively.

The third defines how big the object is, it is the radius of an ellipsoid.

Capsules ovoid-ellipsoid or oblong, 2. 5-3. 5 cm, obscurely lobed.

Mature bud tubular, 1. 5-2 cm, tip ellipsoid.

Capsule ovoid or ovoid-ellipsoid, 3. 5-4. 5 cm, 8-valved, densely yellowish stellate tomentulose, apex acute or longer beaked.

Capsule oblong-ellipsoid, 5-7 cm, beak to 1 cm.

Seeds black-brown, ovoid or ellipsoid, 1. 3-1. 5 cm, arillode covering all of seed.

Drupes 4 or 5 in head, purplish brown, ellipsoid, ca. 2 cm, ca. 1 mm in diam.

gynophore to 3 cm. Seeds light brown, broadly ellipsoid to subglobose, 1. 6-2 mm.

Fruit follicles subglobose to ellipsoid to obovoid, (3-)3. 5-7. 5 mm, glabrous or sparsely puberulent.

Female flowers: perianth tube ellipsoid or rhomboid, 0. 8-1. 2 mm, to 2 mm in fruit, pubescent, inconspicuously ribbed, 3- or 4-toothed.

elasticity theory of elasticity homogeneous state of stress stress invariant strain invariant strain ellipsoid homogeneous state of strain

Study of the Ellipsoid Transformation on the Establishment of Local Independence Coordinate System Using GPS Technique

Study on the direction of the polarization field strength in a dielectric ellipsoid

Approximate Calculation of Inside Protrudent Length of non-radial Nozzle on Ellipsoid Head of Reactor

The optical device comprises a solid element made of glass material, and the solid component adopts an ellipsoid platform;

A Preliminary Study of Mathematical Properties of the Parameter Ellipsoid

The Analytic Solution of Scattering Field and its Characteristics for An Ellipsoid

For Radial, Ellipsoid, Square and Rectangular gradients, modify these values to set the horizontal offset of the gradient center. (53)

anthers ellipsoid, small, versatile, longitudinally dehiscent, connective not projected beyond the cae;

Computation of Area for Convex Polygon on Earth Ellipsoid by Means of Geodesic Coordinate

Establishment of Another Form of Geodesic Coordinate System on Earth Ellipsoid

A study of the spherical aberration of refracted image on the rotational ellipsoid

System Identification Model of Scattering Electromagnetic Field for An Ellipsoid

Estimation on Eigenvalue Bounds of Structures with Uncertain Parameters by the Interval-Ellipsoid-Combined Method

Fruit globose or ellipsoid, strongly flattened laterally, base cordate, dorsal surface rounded, glabrous (rarely with white hairs);

Solution the Polarization Field Strength inside Ellipsoid in a Homogeneous Dielectric

Laplace Operator and Its Application in Rotational Ellipsoid Coordinates

Plane Projection of Strain Ellipsoid and Its Application in Geologic Structure Analysis

Electric Potential Distribution and Electric Capacity of Electrified Ellipsoid Conductor

Iterative Arithmetic of Legendre Series Coordination Inverse Solution on Terrestrial Ellipsoid

Numerical Simulation of the Nonlinear Waves Generated by a Submerged Ellipsoid

A Calculating Formula of Meridian Arc Length of Ellipsoid

Interior Ellipsoid Method and Primal-Dual Affine Scaling Algorithm for Linearly Constrained Convex Programming

Iterative Arithmetic of Gauss Average Coordination Inverse Solution on Terrestrial Ellipsoid

An analytical characterization of invariant ellipsoid for single input linear systems with input saturation

The Properties of Error Ellipsoid and Its Applications in Confidence Regions of Points

Shape parameter determination of double ellipsoid heat source model in numerical simulation of high energy beam welding

Fruit globose or ellipsoid, ca. 2 mm, covered with short and straight spinous-bristles usually fused at the base forming a thin tier;

Effective nonlinear dielectric response in dilute ellipsoid composites

winter buds ellipsoid, margin ciliate, inner scales densely villous outside. Leaves deciduous;

Fruit ellipsoid, strongly compressed dorsally, sparsely hairy when young, smooth at maturity;

Capsule ovoid or ellipsoid, large, woody, tomentose, outer layer probably finally dehiscent;

Reference ellipsoid including parameters for the ellipsoid

Application of glass ellipsoid aluminium alloy structure in building engineering

Fruit broad ellipsoid, glabrous, strongly flattened dorsally;

Fruit oblong-ellipsoid, slightly laterally compressed;

Fruit obovoid-oblong or long-ellipsoid, glabrous, slightly dorsally compressed;

Fruit long-ellipsoid or subglobose, densely covered with uncinate or straight bristles, or tubercles;

Projection of spherical grid on ellipsoid and analysis of its de formation

Electronic Structure and Optical Properties of Wurtzite CdSe Quantum Ellipsoid

Estimates of the First Eigenvalue of Minimal Hypersurfaces on n-dimensional Ellipsoid

Model Predictive Control for Time-delay Systems with Terminal Ellipsoid Constraints

The Optimal Determination of the Regional Ellipsoid Elements

Fruit globose to ellipsoid, dehiscent, wrapped in persistent enlarged sepals;

Capsule straight in relation to pedicel, ovoid to narrowly ellipsoid, equalling to shorter than calyx, dehiscent loculicidally to base;

Ellipsoid Method for Calculating Reliability Index of Soil Liquefaction

Exact Calculation for Measuring Electric Intensity with Ellipsoid Gauge