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Riemannian manifold equipped with a differential p-form
In the mathematical field of differential geometry, a calibrated manifold is a Riemannian manifold (M,g) of dimension n equipped with a differential p-form
Calibrated_geometry
American mathematician
work in minimal surfaces, calibrated geometry, algebraic cycles, foliations, several complex variables, Riemannian geometry, and partial differential
H._Blaine_Lawson
Check on the accuracy of measurement devices
free dictionary. Calibration curve Calibrated geometry Calibration (statistics) Color calibration – used to calibrate a computer monitor or display. Deadweight
Calibration
American mathematician
to the field of differential geometry. In 1982, in collaboration with Blaine Lawson, Harvey introduced calibrated geometry, which is instrumental in the
F._Reese_Harvey
Chinese mathematician (born 1958)
dimensions, he studied the interaction of Yang-Mills theory with calibrated geometry. Uhlenbeck had shown in the 1980s that, when given a sequence of
Tian_Gang
Chinese-American mathematician (born 1949)
53003. Joyce, Dominic D. (2007). Riemannian holonomy groups and calibrated geometry. Oxford Graduate Texts in Mathematics. Vol. 12. Oxford: Oxford University
Shing-Tung_Yau
American mathematician
still not understood, despite their significance in the theory of calibrated geometry and the Strominger–Yau–Zaslow conjecture. Two-Dimensional Calculus
Robert_Osserman
Manifold with Riemannian, complex and symplectic structure
submanifold (outside its singular set). Even more: by the theory of calibrated geometry, Y {\displaystyle Y} minimizes volume among all (real) cycles in
Kähler_manifold
British mathematician
Press. 2000. ISBN 978-0-19-850601-0. Riemannian holonomy groups and calibrated geometry. Oxford University Press. 2007. ISBN 978-0-19-921559-1. with Yinan
Dominic_Joyce
Instrument used to measure distances
additionally allows one to draw straighter lines. Rulers are an important tool in geometry, geography and mathematics. They have been used since at least 2650 BC
Ruler
Zbl 0408.14001. Harvey, Reese; Lawson, H. Blaine Jr. (1982). "Calibrated geometries". Acta Mathematica. 148: 47–157. doi:10.1007/BF02392726. MR 0666108
Wirtinger inequality (2-forms)
Wirtinger_inequality_(2-forms)
Mathematics professorship at the University of Oxford
The position of Savilian Professor of Geometry was established at the University of Oxford in 1619. It was founded (at the same time as the Savilian Professorship
Savilian Professor of Geometry
Savilian_Professor_of_Geometry
Mathematical conjecture
S2CID 14043557. Harvey, Reese; Lawson, H. Blaine Jr. (1982), "Calibrated geometries", Acta Mathematica, 148 (1): 47–157, doi:10.1007/BF02392726. Gross
SYZ_conjecture
Seven-dimensional Riemannian manifold
theory Spin(7)-manifold Harvey, Reese; Lawson, H. Blaine (1982), "Calibrated geometries", Acta Mathematica, 148: 47–157, doi:10.1007/BF02392726, MR 0666108
G2_manifold
Satellite galaxy of the Milky Way
models or assumptions. In 2006, the Cepheid absolute luminosity was re-calibrated using Cepheid variables in the galaxy Messier 106 that cover a range of
Large_Magellanic_Cloud
Method of constructing an image from multiple viewpoints
only 18 of them are actually independent. There is also a so-called calibrated trifocal tensor, which relates the coordinates of points and lines in
Trifocal_tensor
Device for measuring or restricting fluid flow
international standards. An orifice plate is called a calibrated orifice if it has been calibrated with an appropriate fluid flow and a traceable flow measurement
Orifice_plate
French mathematician
G2 structure Spin(7) manifold Holonomy Quaternion-Kähler manifold Calibrated geometry Hypercomplex manifold Hyperkähler manifold Uniform polyhedron Bonan
Edmond_Bonan
Highly speculative approaches in historic metrology
can be qualified as pseudoscience. In 1637, John Greaves, professor of geometry at Gresham College, made his first of several studies in Egypt and Italy
Pseudoscientific_metrology
Process of determining spatial characteristics of objects
category) is available. Given a 2D image of an object, and the camera that is calibrated with respect to a world coordinate system, it is also possible to find
3D_pose_estimation
Position and orientation of an object in an image
sensor (camera) is calibrated and the mapping from 3D points in the scene and 2D points in the image is known. If also the geometry of the object is known
Pose_(computer_vision)
Point cloud processing software
obtained with a laser scanner). It can also handle triangular meshes and calibrated images. Originally created during a collaboration between Telecom ParisTech
CloudCompare
Deviation from rectilinear projection (optics)
between the undistorted image point and the undistortion/distortion center. Calibrated software works from a table of lens/camera transfer functions: Adobe Photoshop
Distortion_(optics)
Gas-filled radiation detector
radiopharmaceuticals are called radioisotope dose calibrators - an inexact name for radionuclide radioactivity calibrators, which are used for measurement of radioactivity
Ionization_chamber
1968 photograph of Earth from lunar orbit
Color-calibrated version
Earthrise
Matrix in computer version
pertaining to calibrated cameras, while the fundamental matrix describes the correspondence in more general and fundamental terms of projective geometry. This
Fundamental matrix (computer vision)
Fundamental_matrix_(computer_vision)
Quantity of a three-dimensional space
and biochemistry to measure volume of fluids at the microscopic scale. Calibrated measuring cups and spoons are adequate for cooking and daily life applications
Volume
Form of microscopy using an electron beam
Peak shift method is reliable and straightforward. The peak position is calibrated by independent (usually optical) measurement using a diamond anvil cell
Electron energy loss spectroscopy
Electron_energy_loss_spectroscopy
Tool for the precise measurement of a component's length, width, and/or depth
known as a micrometer screw gauge (MSG), is a device incorporating a calibrated screw for accurate measurement of the size of components. It is widely
Micrometer_(device)
Device for measuring alternating current
referred to as a counter-wound Rogowski. Other approaches use a full toroid geometry that has the advantage of a central excitation not exciting standing waves
Rogowski_coil
3D imaging technique
Antoine; Melou, Jean; Quéau, Yvain; Durou, Jean-Denis (2025). "Self-calibrated Near-Light Photometric Stereo Using a Geometric Proxy". In Bubba, Tatiana
Photometric_stereo
Tool used for drawing straight lines, or checking their straightness or flatness
straightedge is used in compass-and-straightedge constructions in plane geometry. It may be used: Given two points, to draw the line connecting them Given
Straightedge
Response that characterizes how an ear receives a sound from a point in space
transform of the HRIR h(t). Even when measured for a dummy head of idealized geometry, HRTF are complicated functions of frequency and the three spatial variables
Head-related transfer function
Head-related_transfer_function
Number of occurrences or cycles per unit time
Spatial frequency is defined for properties that vary or occur repeatedly in geometry or space. The unit of measurement of frequency in the International System
Frequency
Difference in apparent position with viewing angle
up ruining the aim by attempting to correct the aim. As most guns are calibrated according to the external ballistics measured during sighting-in, parallax
Parallax
Schwarzschild metric (closely related to Schwarzschild solution, Schwarzschild geometry, Schwarzschild black hole, and Schwarzschild vacuum) de Sitter–Schwarzschild
List of things named after Karl Schwarzschild
List_of_things_named_after_Karl_Schwarzschild
Instrument installed on meteorological satellites
sounding of temperature and moisture levels. Level-1 radiance data are calibrated brightness temperatures. Level-2 geophysical data from AMSU include: Temperature
Advanced microwave sounding unit
Advanced_microwave_sounding_unit
Concept in computer vision
image points, but the essential matrix can only be used in relation to calibrated cameras since the inner camera parameters (matrices K {\displaystyle \mathbf
Essential_matrix
Instrument for measuring specular reflection gloss
conform to the above standards in terms of their measurement geometry. The instruments are calibrated using reference standards that are usually made from highly
Glossmeter
Transformation process to project images
transform. In performing the transform, if the cameras themselves are calibrated for internal parameters, an essential matrix provides the relationship
Image_rectification
Turkish-American mathematician
Award beginning in 2017. She specialises in the "geometry and topology of the moduli spaces of calibrated submanifolds inside Calabi–Yau, G2 and Spin(7)
Sema_Salur
Flight simulator produced by Laminar Research
effect, during stalls, and near edges of the flight envelope. Properly calibrated hardware including rudder pedals and separate throttle and trim controls
X-Plane_(simulator)
Device for measuring the geometry of objects
A coordinate-measuring machine (CMM) is a device that measures the geometry of physical objects by sensing discrete points on the surface of the object
Coordinate-measuring_machine
Nautical charts, first made in the 13th century
emanating from one or more centres in 32 directions, linear scale bars calibrated in so-called portolan miles (miglio), and place names inscribed perpendicular
Portolan_chart
Automotive technology
manifold design, as well as the exhaust valve opening time can be so calibrated as to achieve greater evacuation of the cylinder. The exhaust manifolds
Inlet_manifold
Function of four real variables that defines how light is reflected at an opaque surface
atmospheric scattering. BRDFs can be measured directly from real objects using calibrated cameras and lightsources; however, many phenomenological and analytic
Bidirectional reflectance distribution function
Bidirectional_reflectance_distribution_function
Measuring device
The induced current in the sensing coil is detected and the output is calibrated to reject any inherent coupling that is not due to the fluid. The inductive
Electrical_conductivity_meter
Topics referred to by the same term
Railway alignment, three-dimensional geometry of track layouts Transfer alignment, a process for initializing and calibrating the inertial navigation system
Alignment
Graph of space and time in special relativity
especially in the special theory of relativity. Spacetime diagrams can show the geometry underlying phenomena such as time dilation and length contraction without
Spacetime_diagram
Type of compass
geological structures, as they map in the field, to analyze and document the geometry of bedding planes, joints, and/or metamorphic foliations and lineations
Geological_compass
Method of shaping metal through pressurized water
materials. Small concave corner radii are difficult to be completely calibrated, i.e. filled, because too large a pressure would be required. in fact
Hydroforming
skew, and the 2D principal point. With only a set of uncalibrated (or calibrated) images, a scene may be reconstructed up to a six degree of freedom euclidean
Camera_auto-calibration
Material testing procedure that makes a very small mark in a surface
Instead, an indenter with a geometry known to high precision (usually a Berkovich tip, which has a three-sided pyramid geometry) is employed. During the
Nanoindentation
Mid-size luxury SUV
17 mpg‑imp) (combined). Although, for this test, the EPA used their newly calibrated system for 2008 and on. Greenpeace stated that they did not take issue
Range_Rover_Sport
American astronomer (1868–1921)
brightness, reflected a relationship in their absolute brightness. Once calibrated by measuring the distance to a nearby star of the same type via parallax
Henrietta_Swan_Leavitt
Reciprocating internal combustion engine
turbocharger lubrication required higher flow. Bosch MW injection pumps were calibrated for greater fuel output and fitted with an ALDA device which prevented
Mercedes-Benz_OM617_engine
Single, negligibly-sized object from which light, sound, energy, etc. emanates
point source has a negligible extent, distinguishing it from other source geometries. Sources are called point sources because, in mathematical modeling, these
Point_source
Tool for measuring area
from moving. Near the junction of the two links is a measuring wheel of calibrated diameter, with a scale to show fine rotation, and worm gearing for an
Planimeter
Excess material attached to a molded, forged, or cast product
Molding flash is seen when the optimized parameter on cull height is not calibrated.[citation needed] Proper design of mold parting surfaces can reduce or
Flash_(manufacturing)
Oceanic tectonic plate in the eastern Pacific Ocean basin
rest of the Nazca plate. The absolute motion of the Nazca plate has been calibrated at 3.7 cm/year (1.5 in/year) east motion (88°), one of the fastest absolute
Nazca_plate
Measurement of ambient electromagnetic field
household or industrial appliances, the majority of EMF meters available are calibrated to measure 50 and 60 Hz alternating fields (the frequency of European
EMF_measurement
Technique in computer vision
reference frame and their corresponding 2D image projections as well as the calibrated intrinsic camera parameters, determine the 6 DOF pose of the camera in
Perspective-n-Point
Conjecture in symplectic geometry
symplectic geometry, the Thomas–Yau conjecture asks for the existence of a stability condition, similar to those which appear in algebraic geometry, which
Thomas–Yau_conjecture
French mathematician
mathematician. He made contributions in the fields of abstract algebra, algebraic geometry, and computer vision, and participated in the Nicolas Bourbaki collective
Michel_Demazure
Star cluster in the constellation of Taurus
Nebula. II. Simple Model Constraints on Dust Properties and Scattering Geometry". The Astrophysical Journal. 589 (1): 362–377. Bibcode:2003ApJ...589..362G
Pleiades
Computerized information extraction from images
symbolic information from image data using models constructed with the aid of geometry, physics, statistics, and learning theory. The scientific discipline of
Computer_vision
Transparent camera lens attachment used to aid in scientific measurements
crosses. The intersections of the crosses were 10 mm apart and accurately calibrated to a tolerance of 0.002 mm. Except for the double-sized central cross
Réseau_plate
Instrument to measure alcoholic dispension
tube after a pre-defined and calibrated volume of liquid has passed, oftentimes a set of 2 or 3 balls. Because of the geometry, the bottle with one of these
Alcoholic_spirits_measure
Device used to locate framing studs in buildings
Before use, edge finders must be calibrated over an area of the wall that does not contain a stud. Once calibrated, the device is moved laterally across
Stud_finder
Benchmark model for testing 3D printers
bridged roof and arched side doors of the cabin include complex and secluded geometry that distinctly reveal overhang issues. Acute Angled Surfaces (Layer Shifting):
3DBenchy
Using distance measures along a shape's edges to determine position in space
issue of position determination using multiple ranges. In two-dimensional geometry, it is known that if a point lies on two circles, then the circle centers
True-range_multilateration
Distance measuring technique
trigonometry to calculate how far away the star is. The concept hinges on the geometry of a triangle formed between the Earth at two different points in its orbit
Parallax_in_astronomy
Welding by passing electric current through work pieces
The electric resistance welding process can be further classified by the geometry of the weld and the method of applying pressure to the joint: spot welding
Electric_resistance_welding
Device used to measure power in an optical signal
light meters or lux meters. A typical optical power meter consists of a calibrated sensor, a measuring amplifier and a display. The sensor primarily consists
Optical_power_meter
Hypothetical travel into the past or future
suitable geometries of spacetime or specific types of motion in space might allow time travel into the past and future if these geometries or motions
Time_travel
Instrument for measuring the concentration of suspended particulates
particles such as their shape, color, and reflectivity. Nephelometers are calibrated to a known particulate, then use environmental factors (k-factors) to
Nephelometer
European visible and near-infrared space observatory, launched in 2023
measurements. Any distortion inherent in the sensors must be accounted for and calibrated out, otherwise the resultant data would be of limited use. During its
Euclid_(space_telescope)
Emission of secondary X-rays from a material excited by high-energy X-rays
effects can not be compensated by theoretical corrections, and must be "calibrated in". This means that the calibration materials and the unknowns must be
X-ray_fluorescence
Subsidiary of Ametek
viscosity of the fluid.[citation needed] Torque is applied through a calibrated spring to a disk or bob spindle immersed in test fluid and the spring
Brookfield_Engineering
Assault rifle produced by Heckler & Koch
settings have an identical point of aim. The V-notch and apertures are calibrated for 5.56×45mm NATO ball ammunition. The receiver housing has a NATO pattern
Heckler_&_Koch_G41
rotor Brake servo Brake shoe Brake lining Shoe web Brake warning light Calibrated friction brake Caliper Combination valve Dual circuit brake system Hold-down
List_of_auto_parts
Simplification of the basic trigonometric functions
tangent and 0.2% for the sine for angles around 5 degrees). Others are calibrated to 5.725 degrees, to balance the sine and tangent errors at below 0.3%
Small-angle_approximation
Computer graphics 3D reference model
physical model of the Cornell box is constructed and photographed using calibrated equipment. Photographic image references shared via Cornell University
Cornell_box
Comune in Friuli-Venezia Giulia, Italy
reinforces the wellness of a society. Each road and move was carefully calibrated and each part of the plan had a reason for being. Each person would have
Palmanova
Unintentional steering by engine torque
Steer-by-wire also hides the effect of torque steer from the driver. EPAS can be calibrated to directly suppress the torque effect at the handwheel, and the steer
Torque_steer
Indian mathematician and astronomer (1114–1185)
staffs designed specifically for determining angles with the help of a calibrated scale. In his book Lilavati, he reasons: "In this quantity also which
Bhāskara_II
treatment head of radiotherapy linear accelerators. Linear accelerators are calibrated to give a particular absorbed dose under particular conditions, although
Monitor_unit
Imperial dynasty of China (960–1279)
work was the Mathematical Treatise in Nine Sections published in 1247. Geometry was essential to surveying and cartography. The earliest extant Chinese
Song_dynasty
American sport-utility vehicle
allowing for a 34-foot turning circle, long wheel travel, and antidive geometry (useful for snowplowing). A heavier-duty suspension system was an option
Ford_Bronco
Measurement for ionizing radiation
layer is made too thick. The SER is established by measurement using calibrated equipment, normally traceable to a national standard source of radiation
Counts_per_minute
Device for measuring a physical quantity
(incident-light meter) or a luminance meter (reflected-light meter), and is calibrated in photographic units. Integrating sphere for collecting the total luminous
List_of_measuring_instruments
with extremely high precision and stability. Its circuit resistance is calibrated against a quantum Hall effect resistance standard. The Kibble balance
Alternative approaches to redefining the kilogram
Alternative_approaches_to_redefining_the_kilogram
Intelligence in machines
the defendants. Although the error rate for both whites and blacks was calibrated equal at exactly 61%, the errors for each race were different—the system
Artificial_intelligence
Type of energy
However, absolute work function values can be obtained if the tip is first calibrated against a reference sample. The work function is important in the theory
Work_function
Multiple proofs regarding Earth's approximately spherical shape
in the fisheye lens. Scientific measurements would require a carefully calibrated lens. Photos of the ground taken from airplanes over a large enough area
Empirical evidence for the spherical shape of Earth
Empirical_evidence_for_the_spherical_shape_of_Earth
counter or ion chamber for its detection and measurement. Instruments are calibrated using standards traceable to national laboratory radiation standards,
Radiometric_calibration
Science of determining the positions of points and the distances and angles between them
surveying is called a land surveyor. Surveyors work with elements of geodesy, geometry, trigonometry, regression analysis, physics, engineering, metrology, programming
Surveying
NASA engineer and physicist (born 1965)
Jonathan (17 May 2021). "Worldline numerics applied to custom Casimir geometry generates unanticipated intersection with Alcubierre warp metric". European
Harold_G._White
Graphical calculator used in electrical engineering
for using the outer circumferential scale of the Smith chart, which is calibrated in wavelengths. The following example shows how a transmission line terminated
Smith_chart
Economics methodology
proposes to establishing cause and effect in economics is "calibrated simulation". Calibrated simulation relies on measurement and numerical techniques
McCloskey_critique
travel, tourism, insurance
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
Boy/Male
Tamil
Celebrated
Boy/Male
Hindu
Known, Glorious, Celebrated
Girl/Female
Hindu
Desired, Celebrated
Boy/Male
Hindu, Indian, Marathi
Celebrated; Famous
Boy/Male
Tamil
Known, Glorious, Celebrated
Girl/Female
Bengali, Hindu, Indian, Marathi, Telugu
Fame; Celebrated
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Celebrated
Boy/Male
Hindu
Celebrated
Boy/Male
Muslim
Known. Celebrated.
Boy/Male
Arabic, Muslim
Celebrated Abbasid Caliph
Boy/Male
Hindu, Indian, Marathi, Sanskrit
Celebrated
Girl/Female
Tamil
Shansita | ஷாநà¯à®¸à¯€à®¤à®¾
Desired, Celebrated
Shansita | ஷாநà¯à®¸à¯€à®¤à®¾
Boy/Male
Muslim
Known. Celebrated.
Boy/Male
Muslim
Celebrated Abbasid caliph
Boy/Male
Hindu, Indian, Marathi, Punjabi, Sikh
Honoured Praised Celebrated
Boy/Male
Tamil
Kirtin | கிரà¯à®¤à®¿à®¨
Celebrated
Kirtin | கிரà¯à®¤à®¿à®¨
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
A Celebrated Saint
Boy/Male
Indian, Sanskrit
Known; Celebrated
Boy/Male
Hindu, Indian, Sanskrit
Famous; Celebrated
Boy/Male
Indian
Celebrated Abbasid caliph
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
CALIBRATED GEOMETRY
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