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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
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
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
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
Instrument used to measure distances
1500 BC. Excavations at Lothal (2400 BC) have yielded one such ruler calibrated to about 1.6 millimetres (1⁄16 in). Ian Whitelaw holds that the Mohenjo-Daro
Ruler
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
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
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
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
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
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
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
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)
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)
French mathematician
G2 structure Spin(7) manifold Holonomy Quaternion-Kähler manifold Calibrated geometry Hypercomplex manifold Hyperkähler manifold Uniform polyhedron Bonan
Edmond_Bonan
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
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
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)
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
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)
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
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
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
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)
Device for measuring alternating current
applications. This linearity also enables a high-current Rogowski coil to be calibrated using much smaller reference currents. No danger of opening the secondary
Rogowski_coil
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Economics methodology
proposes to establishing cause and effect in economics is "calibrated simulation". Calibrated simulation relies on measurement and numerical techniques
McCloskey_critique
Skilled operator of machine tools
drawings to produce detailed specifications of the part, especially its geometry (shape), then decide on a strategy to make it. Machine tools are then configured
Machinist
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
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
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
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
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
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
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
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
treatment head of radiotherapy linear accelerators. Linear accelerators are calibrated to give a particular absorbed dose under particular conditions, although
Monitor_unit
Test signal in television broadcasting
correctly (see SMPTE color bars). Most modern test cards include a set of calibrated color bars which will produce a characteristic pattern of "dot landings"
Test_card
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
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
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
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
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
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
Technique to determine the density of fluids
oscillation nodes. The same effect can be achieved by modifying the oscillator geometry. A counter-oscillating X- or W-shaped oscillator operates in a self-compensating
Oscillating_U-tube
Difference in apparent position with viewing angle
is relative motion. By observing parallax, measuring angles, and using geometry, one can determine distance. Distance measurement by parallax is a special
Parallax
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
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
Computer output device
the color space gamut, correct display is possible, if the monitor is calibrated. A picture that uses colors that are outside the sRGB color space will
Computer_monitor
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
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
Eight-dimensional Riemannian manifold
They also admit a parallel 4-form, known as the Cayley form, which is a calibrating form for a special class of submanifolds called Cayley cycles. In fact
Spin(7)-manifold
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
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
Terraced platform mound in Bolivia
initial construction of the Pumapunku to AD 536–600 (1510 ±25 B.P. C14, calibrated date). Since the radiocarbon date came from the deepest and oldest layer
Pumapunku
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
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
Ways in which length, distance or range can be measured
For small or microscopic objects, microphotography where the length is calibrated using a graticule can be used. A graticule is a piece that has lines for
Length_measurement
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
Lens optics concept
combinations have exact flange focal distance measurements to which lenses are calibrated. The choice to place gels or other filters behind the lens becomes a much
Depth_of_focus
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
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
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)
Intelligence of 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
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
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
Device used to detect defects on trains
outside the bounds of structural integrity. These systems are initially calibrated to a particular ‘neutral state’ by measuring the rail with neutral compression
Defect_detector
Measurement of radioactivity within the body
a standard whose radioactivity is well known. A whole-body counter is calibrated with a device known as a "phantom" containing a known distribution and
Whole-body_counting
other pressure-dependent properties. These indirect measurements must be calibrated to SI units by a direct measurement, most commonly a McLeod gauge. Aneroid
Pressure_measurement
Geographical theory of spatial distribution of cities
theory by integrating fractal geometry and polycentric principles into a nested urban structure. It incorporated calibrated isochrones (time-based accessibility
Central_place_theory
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
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