Greater curvature - Factbites

Greater curvature - Factbites
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Topic: Greater curvature

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	alias.html
		In contrast to this, when the dimension of the ambient Lorentzian space is greater than 3 (codimension greater than 1), one cannot deduce any \textit{a priori} regularity on the behaviour of the curvature of spacelike zero mean curvature surfaces, due to the fact that the normal bundle is indefinite.
		As is well known, the Gaussian curvature of a minimal surface (zero mean curvature surface) immersed into a Riemannian space of constant curvature is bounded from above by the constant curvature of the ambient space, with equality precisely at the totally geodesic points of the surface.
		In recent years, we have studied in depth the global behaviour of the curvature of spacelike zero mean curvature surfaces in 3-dimensional and 4-dimensional Lorentzian spaces.
	www.mat.uc.pt /~geomfis/datos/alias.html (295 words)

	Lecture Notes for Day 14
		Space is curved near a massive object; the greater the mass the greater the curvature.
		Because of the curvature of space, which is always curved in the direction of the mass, (concave toward the mass) it is difficult to escape from a mass: space is always curving you back toward it.
		Another test for the curvature of space is simply the sum of the interior angles of a triangle.
	www.colorado.edu /APAS/APAS1010/lecture/day.14.html (829 words)

	Pelvis: Osteology and Borders
		Greater Sciatic Notch formed by curvature of the inferior part of the ileum.
		Greater and Lesser Sciatic Notches -- on the posterior internal lips of the iliac crest.
		Greater Sciatic Foramen is formed from both sacrotuberous and sacrospinous ligaments.
	www.themedicaldirectory.org /sciences/anatomy/pelvis/osteology.shtml (829 words)

	Talk 3575 data/Fall_2000/1120
		, greater scalar curvature does imply less total volume.
		It is then natural to ask whether or not this is true for scalar curvature as well.
		, which can be scaled to have arbitrarily large scalar curvature and yet infinite volume.
	www.math.duke.edu /mcal?abstract-3575 (186 words)

	Rudy Rucker's KappaTau Space Curve Paper
		The size of the curvature is determined by the principle that a circle of radius R should have curvature of 1/R. The smaller the radius, the greater the curvature.
		The curvature of a space curve is essentially the same as the curvature of a plane curve: it measures how rapidly the curve is bending to one side.
		The sizes of the curvature and torsion on a helix with radius R and turn-height H are given by two nice equations.
	www.mathcs.sjsu.edu /faculty/rucker/kaptaudoc/ktpaper.htm (3020 words)

	DC MetaData for: On real Kaehler Euclidean submanifolds with non--negative Ricci curvature
		We show that any Kaehler Euclidean submanifold with either non-negative Ricci curvature or non-negative holomorphic sectional curvature must has index of relative nullity greater than or equal to 2n-2p, where 2n is the (real) dimension of the submanifold and p is its codimension.
		Kaehler submanifolds, non-negative Ricci curvature, non-negative holomorphic curvature, relative nullity
		In particular, we conclude that the only Kaehler submanifolds with dimension 2n in Euclidean space of dimension 3n that have either positive Ricci curvature or positive holomorphic sectional curvature are the products of n orientable surfaces in $R^3$ with positive Gaussian curvature.
	www.preprint.impa.br /Shadows/SERIE_A/2003/257.html (162 words)

	DC MetaData for: On real Kaehler Euclidean submanifolds with non--negative Ricci curvature
		We show that any Kaehler Euclidean submanifold with either non-negative Ricci curvature or non-negative holomorphic sectional curvature must has index of relative nullity greater than or equal to 2n-2p, where 2n is the (real) dimension of the submanifold and p is its codimension.
		In particular, we conclude that the only Kaehler submanifolds with dimension 2n in Euclidean space of dimension 3n that have either positive Ricci curvature or positive holomorphic sectional curvature are the products of n orientable surfaces in $R^3$ with positive Gaussian curvature.
		Kaehler submanifolds, non-negative Ricci curvature, non-negative holomorphic curvature, relative nullity
	www.preprint.impa.br /Shadows/SERIE_A/2003/257.html (162 words)

	eMedicine - Solid Omental Tumors : Article by Quintessa Miller, MD
		The greater omentum is attached to the caudal border of the greater curvature of the stomach and consists of the hepatoduodenal, gastrocolic, and gastrosplenic ligaments.
		Relevant Anatomy: The greater omentum, where most omental tumors are located, is composed of a double layer of peritoneum extending from the greater curvature of the stomach toward the pelvis anterior to the small intestine before folding over itself and the transverse colon.
		Unusual presentation of an intraabdominal fibrosarcoma arising from the greater omentum.
	www.emedicine.com /med/topic2749.htm (162 words)

	Rudy Rucker's KappaTau Space Curve Paper
		The size of the curvature is determined by the principle that a circle of radius R should have curvature of 1/R. The smaller the radius, the greater the curvature.
		From the viewpoint of a point moving along the curve, the curvature is said to be positive when the curve bends to the left, and negative when the curve bends to the right.
		The sizes of the curvature and torsion on a helix with radius R and turn-height H are given by two nice equations.
	www.mathcs.sjsu.edu /faculty/rucker/kaptaudoc/ktpaper.htm (3020 words)

	Rudy Rucker's KappaTau Space Curve Paper
		The size of the curvature is determined by the principle that a circle of radius R should have curvature of 1/R. The smaller the radius, the greater the curvature.
		In this context, the most natural way to describe a plane curve is by an equation that gives the curvature directly as a function of arclength, an equation of the form kappa = f(s), where s stands for arclength and kappa is the commonly used symbol for curvature.
		Just as the circle is the plane curve characterized by having constant curvature, the helix is the space curve characterized by having constant curvature and constant torsion.
	www.mathcs.sjsu.edu /faculty/rucker/kaptaudoc/ktpaper.htm (3028 words)

	Stomach Cancer
		Overall, 50% are in the lower stomach ("pyloris and antrum"), 20% are in the body of the stomach ("fundus"), 20% are in the lesser curvature, 10% at the cardia, and 3% at the greater curvature.
		Important areas of the stomach itself (besides the antrum and gastro-esophageal junction) are the "greater curvature" (basically the left wall of the stomach), the "lesser curvature" (the right wall), the "fundus" (main body of the stomach) and the "cardia" (uppermost portion).
		The stomach is susceptible to an increase in the concentration of hydrochloric acid brought on by stress, certain foods, and the effects of tobacco smoke.
	www.canceranswers.com /Stomach.Cancer.html (1733 words)

	Organoaxial Volvulus of the Stomach
		In organoaxial volvulus, the stomach rotates around its long axis (cardia to pylorus) with the greater curvature flipped medially in vertical stomachs and superior to the lesser curvature in transverse stomachs, as in this case.
		In a similar condition, mesenteroaxial volvulus, the stomach rotates around the gastrohepatic omentum (mid-lesser curvature to mid-greater curvature) in a left/right or right/left direction.
		Organoaxial volvulus occurs when the stomach twists upon itself--frequently in association with a hiatal hernia--allowing the stomach to become an intrathoracic organ.
	brighamrad.harvard.edu /Cases/bwh/hcache/167/full.html (296 words)

	B
		The implication is that the law of demand is not more likely to hold true for a good with a flatter indifference curve than for a good with greater indifference curve curvature.
		The association between indifference curve curvature and the size of the substitution effect was established by Hicks.
		indifference curves have relatively little curvature, that indifference curve curvature is associated with the substitution effect, and that therefore the law of demand is likely to hold true for substitutes because of the large aubstitution effect.
	www.iaes.org /conferences/past/vienna_47/prelim_program/d80-1/brown.html (423 words)

	Rudy Rucker's KappaTau Space Curve Paper
		The size of the curvature is determined by the principle that a circle of radius R should have curvature of 1/R. The smaller the radius, the greater the curvature.
		In this context, the most natural way to describe a plane curve is by an equation that gives the curvature directly as a function of arclength, an equation of the form kappa = f(s), where s stands for arclength and kappa is the commonly used symbol for curvature.
		The curve is marked off in units of "arclength", where arclength is the distance measured along the curve, just as if the curve were a piece of rope that you could stretch out next to a ruler.
	www.mathcs.sjsu.edu /faculty/rucker/kaptaudoc/ktpaper.htm (3020 words)

	Wind Tunnel Test Models
		In this study, the camber (c), or curvature of wing is varied; the higher the camber, the greater the curvature.
		In this study, the camber (c) is varied; the higher the camber, the greater the curvature.
		and a rectangular planform with an AR = 6.0.
	wright.nasa.gov /airplane/models.html (1685 words)

	The Albert Einstein Experience: Jokes, Relativity and Black Holes
		According to this theory, space becomes curved in the vicinity of matter (this is the meaning of gravity); the greater the concentration of matter, the greater the curvature (the greater the gravity).
		When the star shrinks below a certain size determined by its mass, the extreme curvature of space seals off contact with the outside world.
		At this point the effects of Einstein's general theory of relativity become paramount.
	www.juliantrubin.com /einsteinjokes.html (1913 words)

	Isaac Newton (1642 - 1727)
		Newton then went on to apply these results to questions connected with the maxima and minima of quantities, the method of drawing tangents to curves, and the curvature of curves (namely, the determination of the centre of curvature, the radius of curvature, and the rate at which the radius of curvature increases).
		Newton devoted the remainder of that year to his paper on physical optics, the greater part of which is given up to the subject of diffraction.
		Newton assumed that all geometrical magnitudes might be conceived as generated by continuous motion; thus a line may be considered as generated by the motion of a point, a surface by that of a line, a solid by that of a surface, a plane angle by the rotation of a line, and so on.
	www.maths.tcd.ie /pub/HistMath/People/Newton/RouseBall/RB_Newton.html (1913 words)

	ABDOMEN ANATOMY WORKBOOK
		The part of the greater omentum between the greater curvature and the transverse colon is referred to as the gastrocolic ligament.
		You should understand, from your earlier colouring of the greater and lesser sacs, that the (vestigial) space enclosed between the anterior and posterior layers of the greater omentum is part of the lesser sac.
		On the posterior surface of your isolated specimen, trace the common bile duct from its cut end (where it travelled in the free edge of the lesser omentum) to the point at which it enters the second part of the duodenum.
	www.bmb.leeds.ac.uk /teaching/icu3/practic/anat (1913 words)

	The EXPANDING EARTH - Geology
		The north-west Pacific's oceanic crust is largely of Jurassic age and hence, in an expansion interpretation, was extruded from the mantle at a Jurassic palaeo-radius, and a correspondingly higher surface curvature (quantitative modelling, of pre-Jurassic Earth indicates palaeo-radius ~50 % present).
		The Pacific "trenches" are not areas of oceanic crustal consumption but are morphological artefacts of Pacific ocean basin curvature adjustment, as well as oblique upper mantle decoupling responses to the inevitable mantle curvature change which is concentrated at continental and active island-arc margins (controlled by crustal 'roots') within the Pacific basin.
		Geochemical studies of evaporites (evaporated sea water solutes that became layers of sedimentary rock) has reveal that the geochemical make-up of sea water - the quantity and proportions of elements and molecules present in solution, has remained essentially constant for greater than 200 million years (some geochemists suggest for more than 500 million years).
	www.geocities.com /CapeCanaveral/Launchpad/8098/1.htm (13217 words)

	ACT Advanced Concept Team
		The higher the beam potential (VB), the greater the curvature, and hence the greater the extracted ion beamlet divergence, until significant direct ion impingement occurs on the acceleration (second) grid and deceleration (third) grid.
		In the first stage, ions are extracted from the plasma sheath with the potential limited to <5kV to prevent beamlet curvature/divergence/impingement problems, and then in a second stage they are accelerated to much higher velocities with acceleration potentials of up to 80kV.
		Gridded ion thrusters have a long heritage and are inherently simple, well understood devices, hence minimising development effort needed to prepare for effective flight operations in space.
	www.esa.int /gsp/ACT/propulsion/ultra_ion.htm (1818 words)

	definitions
		A stacked series of time dilation surfaces (gravitational equipotential surfaces) each with greater curvature is the source of a time gradient or gravitational field See Time Dilation Quasi-Surface.
		For example, a neutron which is an Archetype particle can be conceived to be a stacked series of such toroidal time dilation surfaces each of which has greater curvature (and less surface area) until at the limit a closed curved line is met which has zero surface.
		Time Dilation Quasi-Surface- A useful heuristic concept is the equipotential surface; in this case a quasi-surface (equipotential surface of null velocity potentials) which is generated by the presence of velocity potentials and their conjugates mapped onto each other one-to-one and distributed as nonparallel normals to what in effect would be a curved surface.
	www.singtech.com /definitions.html (1818 words)

	Plastic blow molded container having lower annular grip - US Patent 5732838
		A plastic blow molded container as in claim 11 wherein each leg includes an outer curved wall having a radius of curvature that is greater than 0.75 of the maximum diameter of the coatainer, and each rib having a radius of curvature that is greater than 0.6 of the maximum diameter of the container.
		A plastic blow molded container as in claim 1 wherein the minimum diameter of the lower annular grip section of the body portion is between 0.75 and 0.9 of the maximum diameter of the container.
		A plastic blow molded container as in claim 1 wherein the inwardly extending lower annular grip section of the body portion has a height that is between 0.9 and 1.1 of the maximum diameter of the container.
	www.patentstorm.us /patents/5732838.html (1818 words)

	R 140
		before Treitz ligament was anastomosed to stomach at greater curvature (fig 1).
		before Treitz ligament) to stomach (greater curvature) (figure 1).
		Esophagus, afferent loop and duodenum were removed en bloc (fig 2), macroscopic findings noted (fig 3) and samples of gastric mucosa and gastrojejunal anastomosis haematoxylin-eosin stained.
	www.direxlim.fm.usp.br /r07.php (3611 words)

	dexam298.doc
		The left gastroepiploic artery and right gastroepiploic artery originate from the _____splenic artery _______ and __gastroduodenal artery_____, respectively, and anastomose along the greater curvature of the stomach.
		The left gastric artery and right gastric artery originate from the ______celiac trunk _________ and __proper hepatic artery____, respectively, and anastomose along the lesser curvature of the stomach.
		The greater splanchnic nerve pierces the diaphragmatic crura on its way to the celiac ganglion.
	www.uhmc.sunysb.edu /anatomy/HBA521oldexams/dexam298.doc (1437 words)

	Practical Plus Katana
		Just like the original Practical katana, this sword has all the same measurements except the blade has more sori (curvature) which gives the sword greater cutting power and the furniture has been antiqued like the tsuba on the Fantasy Katana.
		Just like the original Practical Plus katana, this sword has all the same measurements except the blade has more sori (curvature) which gives the sword greater cutting power.
		This sword has a full tang and is sharp so it is ready for test cutting.
	www.mantisswords.com /practical_katanas.htm (441 words)

	Reversible stoma-adjustable gastric band - Patent 5074868
		To prevent the reversible gastric band (20) from moving out of position by slipping along the greater curvature of the stomach, the reversible gastric band (20) is retained in position by suturing the greater curvature (51) of the stomach on both sides of the band portion (20) to itself with several sutures (62).
		Specific embodiments for endowing the gastric band with reversibility as presented herein, are exemplary and are not to limit the scope of the invention.
		The reversible gastric band (20) is first wrapped around the stomach (51) and the guide tab (11) passed through the slot (14) in the buckle (13) and cinched tight until a calibrating apparatus in the stomach (not shown), such as that described in U.S. Pat.
	www.freepatentsonline.com /5074868.html (3162 words)

	Peritoneum
		The greater omentum is given off from the greater curvature of the stomach, forms a large sheet that lies over the intestines, then converges into parietal peritoneum.
		The lesser omentum arises from the lesser curvature of the stomach and extends to the liver.
		The visceral peritoneum covering the stomach extends on both sides into large, double-layered sheets that are filled with prominent patches of of fat, giving it a lace-like appearance.
	arbl.cvmbs.colostate.edu /hbooks/pathphys/misc_topics/peritoneum.html (3162 words)

	Torso-conforming releasable diver's weight pouch - Patent 6030147
		It is a further object of the present invention to provide an improved buoyancy compensator vest with built-in weights located in a releasable weight pouch having a curvature retaining device which causes the weights to move to conform to the individual diver's torso.
		It is another object of the present invention to provide an improved buoyancy compensator vest with built-in weights which has a releasable, weight-retaining pouch with a deformable, yet retainable curvature which corresponds to that of the individual diver using the device.
		When inflated, the buoyancy compensator vest provides the diver with increased buoyancy at greater depths to overcome the fact that a diver's buoyancy decreases with depth.
	www.freepatentsonline.com /6030147.html (3216 words)

	Minimal surfaces in CR geometry
		We also show that there are no closed, connected, $C^{2}$ smoothly embedded constant p-mean curvature or p-minimal surfaces of genus greater than one in the standard $S^{3}.$ This fact continues to hold when $S^{3}$ is replaced by a general spherical pseudohermitian 3-manifold.
		We interpret the p-mean curvature: as the curvature of a characteristic curve, as the tangential sublaplacian of a defining function, and as a quantity in terms of calibration geometry.
	www.math.sinica.edu.tw /ccs/crmfld/cheng.html (3216 words)

	Geometry of the Universe
		or one can think of triangles where for a flat Universe the angles of a triangle sum to 180 degrees, in a closed Universe the sum must be greater than 180, in an open Universe the sum must be less than 180.
		There are basically three possible shapes to the Universe; a flat Universe (Euclidean or zero curvature), a spherical or closed Universe (positive curvature) or a hyperbolic or open Universe (negative curvature).
		All types of topologies are possible such as spherical universes, cyclindrical universes, cubical universes with opposited edges identified or more complicated permutations of the identifications including twists and inversions or not opposite sides.
	zebu.uoregon.edu /~js/cosmo/lectures/lec15.html (1125 words)

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