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Geometric point from which certain types of curves are constructed
In geometry, focuses or foci (/ˈfoʊsaɪ/ or /ˈfoʊkaɪ/; sing.: focus) are special points with reference to which any of a variety of curves is constructed
Focus_(geometry)
Point at which light rays converge
aberration Depth of field Depth of focus Far point Focus (geometry) Fixed focus Bokeh Focus stacking Focal plane Manual focus "Standard Microscopy Terminology"
Focus_(optics)
Topics referred to by the same term
keyboard input FOCUS, a database reporting program HP FOCUS, a CPU architecture Helicon Focus, an image software program Focus (geometry), a key point
Focus
Branch of mathematics
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.
Differential_geometry
Mathematical model of the physical space
Euclidean geometry is a mathematical system attributed to Euclid, an ancient Greek mathematician, which he described in his textbook on geometry, Elements
Euclidean_geometry
Type of geometry
In mathematics, projective geometry is the study of geometric properties that are invariant with respect to projective transformations. This means that
Projective_geometry
Laser science process
important role in high harmonic generation in the gas phase. In free-focusing geometry, the four causes of wavevector mismatch are: neutral dispersion, plasma
High_harmonic_generation
Branch of geometry that studies combinatorial properties and constructive methods
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric
Discrete_geometry
Topics referred to by the same term
Wiktionary, the free dictionary. Focal point may refer to: Focus (optics) Focus (geometry) Conjugate points, also called focal points Focal point (game
Focal_point
Shape with three sides
polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional points while the
Triangle
Class of mass spectrometer
(SIMS). The advantage of this geometry over the Nier–Johnson geometry is that the ions of different masses are all focused onto the same flat plane. This
Sector_mass_spectrometer
Overview of and topical guide to geometry
Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Computational geometry Conformal geometry Constructive
Outline_of_geometry
Polygon in complex space, or which self-intersects
geometry, a polygon in the unitary plane, which has two complex dimensions. In computer graphics, a polygon whose boundary is not simple. In geometry
Complex_polygon
First generation of Ford Focus
was the final year for the 2.3 L engine in the Focus. For the 2006 and 2007 ST's the suspension geometry was changed to provide a softer ride. In Canada
Ford_Focus_(first_generation)
Curve from a cone intersecting a plane
section purely in terms of plane geometry: it is the locus of all points P whose distance to a fixed point F (called the focus) is a constant multiple e (called
Conic_section
Historical development of geometry
relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers (arithmetic). Classic geometry was focused in compass
History_of_geometry
Branch of mathematics concerned with the movement of shapes and sets
transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of
Transformation_geometry
Geometric line segment whose endpoints lie on a circular arc
In geometry, a chord (from Latin chorda 'catgut, string') of a circle is a straight line segment whose endpoints both lie on a circular arc. If a chord
Chord_(geometry)
Field of knowledge
properties), algebra (the study of operations and the structures they form), geometry (the study of shapes and spaces that contain them), analysis (the study
Mathematics
Math research center at the University of Minnesota
The focus of the center's work was the use of computer graphics and visualization for research and education in pure mathematics and geometry. The center's
Geometry_Center
Study of geometries as axiomatic systems
Foundations of geometry is the study of geometries as axiomatic systems. There are several sets of axioms which give rise to Euclidean geometry or to non-Euclidean
Foundations_of_geometry
Volume rendering technique
t e Computer vision Categories Datasets Digital geometry Commercial systems Feature detection Geometry Image sensor technology Learning Morphology Motion
Gaussian_splatting
Area of mathematics
Discrete differential geometry is the study of discrete counterparts of notions in differential geometry. Instead of smooth curves and surfaces, there
Discrete differential geometry
Discrete_differential_geometry
Study of random spatial patterns
In mathematics, stochastic geometry is the study of random spatial patterns. At the heart of the subject lies the study of random point patterns. This
Stochastic_geometry
Plan to reform and expand the city of Barcelona, Spain from 1860
municipal architect for the planning of the expansion, with a proposal focused on ornamental beautification operations. In 1846 Antoni Rovira i Trias
Cerdà_Plan
Graduate physics textbook by Sean M. Carroll
Spacetime and Geometry: An Introduction to General Relativity is a textbook written by physicist Sean Michael Carroll for beginning graduate students in
Spacetime_and_Geometry
Simple curve of Euclidean geometry
mathematics, the study of the circle has helped inspire the development of geometry, astronomy and calculus. Annulus: a ring-shaped object, the region bounded
Circle
Content-based image retrieval
search system at the Middleware '18 conference. The peer reviewed paper focuses on the algorithms used by JD's distributed hierarchical image feature extraction
Reverse_image_search
books in computational geometry. There are two major, largely nonoverlapping categories: Combinatorial computational geometry, which deals with collections
List of books in computational geometry
List_of_books_in_computational_geometry
Type of curve in hyperbolic geometry
In hyperbolic geometry, a hypercycle, hypercircle or equidistant curve is a curve whose points have the same orthogonal distance from a given straight
Hypercycle_(geometry)
Computational navigational technique used by robots and autonomous vehicles
and GraphSLAM. SLAM algorithms are based on concepts in computational geometry and computer vision, and are used in robot navigation, robotic mapping
Simultaneous localization and mapping
Simultaneous_localization_and_mapping
Game engine
of Aveum. A major feature of Unreal Engine 5 is Nanite, a virtualized geometry system that allows developers to use photogrammetry and other high-detail
Unreal_Engine_5
Three-dimensional geometry of track layouts and associated measurements
Track geometry is concerned with the properties and relations of points, lines, curves, and surfaces in the three-dimensional positioning of railroad track
Track_geometry
Mathematical treatise by Euclid
other four postulates became the focus of a long line of research leading to the development of non-Euclidean geometry. Book I also includes 48 propositions
Euclid's_Elements
Chinese electric automobile brand
Geely in April 2019. The Geely Geometry brand is mainly focused on the development of electric vehicles. The Geometry brand has been reconsolidated into
Geely_Geometry
Research facility
Simons Center for Geometry and Physics is a center for theoretical physics and mathematics at Stony Brook University in New York. The focus of the center
Simons Center for Geometry and Physics
Simons_Center_for_Geometry_and_Physics
In differential geometry, affine differential geometry is the study of differential invariants of curves, surfaces, and higher-dimensional submanifolds
Affine_differential_geometry
Molecular geometry
Mo(CO)6. The term "octahedral" is used somewhat loosely by chemists, focusing on the geometry of the bonds to the central atom and not considering differences
Octahedral_molecular_geometry
Computer recognition of visual text
networks which are trained to recognize whole lines of text instead of focusing on single characters. A technique known as iterative OCR automatically
Optical_character_recognition
Shape with four equal sides and angles
In geometry, a square is a regular quadrilateral. It has four straight sides of equal length and four equal angles. Squares are special cases of rectangles
Square
Technology using sunlight for heat
compared with trough and dish concepts), while still using the simple line-focus geometry with one axis for tracking. This is similar to the trough design (and
Solar_thermal_energy
Relation between sides of a right triangle
theorem or Pythagoras's theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of
Pythagorean_theorem
Branch of mathematics
Asymptotic geometry, also known as asymptotic geometric analysis or high-dimensional geometry, is a field of mathematics that investigates the geometric
Asymptotic_geometry
American annual mathematics conference
Mathematical Sciences. It is a three day conference that focuses on the major recent results in geometry and related fields. Marcel Berger Pat Eberlein Jost
Geometry_Festival
Topics referred to by the same term
annually since 1902 North & South (computer game), a 1989 strategy title focusing on the American Civil War for multiple formats The Bluecoats: North vs
North_and_South
1984 book by Rudy Rucker
The Fourth Dimension: Toward a Geometry of Higher Reality (1984) is a popular mathematics book by Rudy Rucker, an American professor of mathematics and
The_Fourth_Dimension_(book)
Relates 2 second-order elliptic operators on a manifold with the same principal symbol
article focuses on three examples of Weitzenböck identities: from Riemannian geometry, spin geometry, and complex analysis. In Riemannian geometry there
Weitzenböck_identity
Determining the position and orientation of a robot by analyzing associated camera images
field illustrates how features diverge from a single point, the focus of expansion. The focus of expansion can be detected from the optical flow field, indicating
Visual_odometry
Lenses designed for cinematography
f-stops represent the theoretical light transmission based on the lens's geometry, T-stops are measured values of actual light transmission, accounting for
Cine_lens
Iranian mathematician (1977–2017)
professor of mathematics at Stanford University. Her research focused on hyperbolic geometry, dynamical systems, complex analysis, and topology. In 2014
Maryam_Mirzakhani
Ancient Greek mathematician (fl. 300 BC)
Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated
Euclid
Study of discrete mathematical structures
in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete
Discrete_mathematics
1968 photograph of Earth from lunar orbit
dual-rocking-drum developer. To print the first Earthrise photo, he used an Auto-focus Chromega D4 enlarger that had modern dial-in color filters. It sat on a
Earthrise
Theoretical object in mathematics
properties. This allows the development of commutative algebra and algebraic geometry on new foundations. One of the defining features of theories of F1 is that
Field_with_one_element
Theory of how students learn geometry
education, the Van Hiele model is a theory that describes how students learn geometry. The theory originated in 1957 in the doctoral dissertations of Dina van
Van_Hiele_model
Method of drawing geometric objects
In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction –
Straightedge and compass construction
Straightedge_and_compass_construction
American scientist
Plasmon Decay and Hot Carrier Dynamics: Effects of Phonons, Surfaces, and Geometry". ACS Nano. 10 (1): 957–966. doi:10.1021/ACSNANO.5B06199. ISSN 1936-0851
Prineha_Narang
Framework of distances and directions
framework. In the 19th and 20th centuries mathematicians began to examine geometries that are non-Euclidean, in which space is conceived as curved, rather
Space
German polymath and scholar (1777–1855)
contributions spanned the branches of number theory, algebra, analysis, geometry, statistics, and probability. Gauss was director of the Göttingen Observatory
Carl_Friedrich_Gauss
Belgian painter
Book of Revelation as important sources for the series of drawings he focused on in the mid-nineties. Concurrent with his experiments in poetry, writing
Philippe_Vandenberg
Set of points that satisfy some specified conditions
In geometry, a locus (plural: loci; Latin for 'place, location') is a set of all points (commonly, a line, a line segment, a curve or a surface), whose
Locus_(mathematics)
Branch of algebraic geometry concerned with counting solutions
In mathematics, enumerative geometry is the branch of algebraic geometry concerned with counting numbers of solutions to geometric questions, mainly by
Enumerative_geometry
Teaching, learning, and scholarly research in mathematics
practical mathematics (arithmetic, elementary algebra, plane and solid geometry, trigonometry, probability, statistics) to most students, to equip them
Mathematics_education
Compact astronomical body
determine whether such an event occurred. For non-rotating black holes, the geometry of the event horizon is precisely spherical, while for rotating black holes
Black_hole
Branch of pure mathematics
considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory can often be understood through the study
Number_theory
Type of program in computer graphics
Shaders act on data such as vertices and primitives, generate or morph geometries and fragments, and calculate the colors in a rendered image. Shaders can
Shader
Branch of mathematics
is an application of the Eulerian path. Geometry & Topology- a mathematic research journal focused on geometry and topology, and their applications, published
Topology
E. Briggs B&W 11m July 3, 1945 video [703] The Play of Imagination in Geometry (ERPI); David Eugene Smith B&W 10m February 24, 1931 Play the Shopping
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
Research center in Bayreuth, Germany
Centre HTL for the production of metal and ceramic components with complex geometries. To test high-temperature materials and optimise their manufacturing processes
Fraunhofer-Center for High Temperature Materials and Design HTL
Fraunhofer-Center_for_High_Temperature_Materials_and_Design_HTL
2026 Android mobile operating system
background audio interactions, including background audio playback, audio focus requests, and volume adjustments. The system will ignore screen orientation
Android_17
Computer technology related to computer vision and image processing
t e Computer vision Categories Datasets Digital geometry Commercial systems Feature detection Geometry Image sensor technology Learning Morphology Motion
Object_detection
Branch of mathematics
calculus. Calculus provides a generalization of concepts from elementary geometry and algebra. For example, instead of describing the slope of a straight
Calculus
regulator cleaned and modified to address rough idling. Transaxle linkage geometry and gear lever extended to improve gear change. Interior refurbished with
List of Wheeler Dealers episodes
List_of_Wheeler_Dealers_episodes
Common elements of two or more sets
contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the
Intersection
XML grammar for geographical features
specific schemas or application languages. These primitives include: Feature Geometry Coordinate reference system Topology Time Dynamic feature Coverage (including
Geography_Markup_Language
Three-dimensional solid
one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base. A cylinder may also
Cylinder
(or honeycombs) and the geometry of their symmetry groups, hence to geometric group theory, as well as to discrete geometry and the theory of polytopes
Periodic_graph_(geometry)
Italian monk and mathematician (1598–1647)
and the introduction of logarithms to Italy. Cavalieri's principle in geometry partially anticipated integral calculus. Born in Milan, Cavalieri joined
Bonaventura_Cavalieri
Method of 3D reconstruction from moving objects
Comparison of photogrammetry software Computer stereo vision Epipolar geometry Kinetic depth effect Match moving Motion field Motion parallax Semi-global
Structure_from_motion
3D reconstruction technique
NeRF model enables downstream applications of novel view synthesis, scene geometry reconstruction, and obtaining the reflectance properties of the scene.
Neural_radiance_field
Plane curve
Introduction to Geometry (2nd ed.). New York: Wiley. pp. 115–9. Meserve, Bruce E. (1983) [1959], Fundamental Concepts of Geometry, Dover Publications
Ellipse
Theoretical attempts to unify the forces of nature
geometry of general relativity, and attempted to incorporate electromagnetic fields into a more general geometry, since ordinary Riemannian geometry seemed
Classical unified field theories
Classical_unified_field_theories
Mathematical tree in the hyperbolic plane
information visualization and graph drawing method inspired by hyperbolic geometry. Displaying hierarchical data as a tree suffers from visual clutter as
Hyperbolic_tree
Combining multiple images to create one
emphasize the necessary of multi-focus images fusion. Multi-focus image fusion is a process which combines the input multi-focus images into a single image
Image_fusion
Optical phenomenon
{\vec {k}}=(n_{y}\cos \theta ,0,n_{y}\sin \theta )} , we obtain the local geometry of the surface, which is a cone subtended by a circle. Further, there exists
Conical_refraction
Formulation of classical mechanics using momenta
phenomena. Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical
Hamiltonian_mechanics
The Geometry of an Art: The History of the Mathematical Theory of Perspective from Alberti to Monge is a book in the history of mathematics, on the mathematics
The_Geometry_of_an_Art
Mathematics independent of applications
of theories with counter-intuitive properties (such as non-Euclidean geometries and Cantor's theory of infinite sets), and the discovery of apparent paradoxes
Pure_mathematics
Archaeological sub-discipline
Age sites on the Island of Bahrain. She suggests that there is a strong focus by scholars on examining the nature of social stratification within ancient
Near_Eastern_bioarchaeology
Book on sociological theory of law by Donald Black
analysis. Another major concept introduced in the book is that of social geometry. This theory posits that law varies systematically with other aspects of
The_Behavior_of_Law
Mathematics book
The Geometry of the Octonions is a mathematics book on the octonions, a system of numbers generalizing the complex numbers and quaternions, presenting
The_Geometry_of_the_Octonions
Type of geometry for connecting computer nodes
system. In geometry, a torus is created by revolving a circle about an axis coplanar to the circle. While this is a general definition in geometry, the topological
Torus_interconnect
Type of wave interaction causing shock waves
uniform geometry ( 1 / r 2 {\displaystyle 1/r^{2}} falloff for weak shock or acoustic waves, as expected at large distances). Atmospheric focusing from supersonic
Atmospheric_focusing
Standard or referential form
New Testament Canonical criticism, a way of interpreting the Bible that focuses on the text of the biblical canon itself as a finished product Canonical
Canonical
Spheres tangent to a plane inside a cone
In geometry, the Dandelin spheres are one or two spheres that are tangent both to a plane and to a cone that intersects the plane. The intersection of
Dandelin_spheres
Relationship between two lines that meet at a right angle
In geometry, two geometric objects are perpendicular if they intersect at right angles, i.e. at an angle of 90 degrees or π/2 radians. The condition of
Perpendicular
combustion instability. Although it is much harder to predict, complex grain geometries offer another technique for increasing regression rate and burn area in
Hybrid_rocket_fuel_regression
Equation for radii of tangent circles
In geometry, Descartes' theorem states that for every four kissing, or mutually tangent circles, the radii of the circles satisfy a certain quadratic equation
Descartes'_theorem
Star polygon
In geometry, an octagram is an eight-angled star polygon. The name octagram combine a Greek numeral prefix, octa-, with the Greek suffix -gram. The -gram
Octagram
Theory of gravitation as curved spacetime
seen as a prediction of general relativity for the almost flat spacetime geometry around stationary mass distributions. Some predictions of general relativity
General_relativity
FOCUS GEOMETRY
FOCUS GEOMETRY
Boy/Male
Arabic, Hindu, Indian, Kannada, Marathi, Muslim, Punjabi, Sikh, Telugu
Focus; The Best; Centre of Body; An Ancient King
Girl/Female
Indian, Telugu
Focus
Girl/Female
Tamil
Focus
Boy/Male
Greek
Greek surname. Euclid was an early developer of geometry theories.
Surname or Lastname
English of uncertain origin.
English of uncertain origin. : of uncertain origin. Perhaps a topographic name for someone who lived near a fig tree, or a metonymic occupational name for someone who sold figs, from Old French figue (Latin ficus).English of uncertain origin. : Reaney has it as a variant of Fitch.English of uncertain origin. : It may also be from an unidentified personal name.
Girl/Female
Indian
Focus
Girl/Female
Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sindhi, Tamil, Telugu
Focus; Test
Girl/Female
Hindu, Indian, Telugu
Lighting or Storm; Focus
Girl/Female
Indian, Telugu
Brightness; Focus
Girl/Female
Tamil
Ekagratha | à®à®•à®¾à®•à¯à®°à®¤à®¾
Focus
Ekagratha | à®à®•à®¾à®•à¯à®°à®¤à®¾
Male
Greek
(Μίδας) In Greek mythology, this is the name of a king of Phrygia famous for his Midas touch. After entertaining the drunken Silenus for eleven days, Midas returned him to Dionysos who offered him his choice of anything he wanted. Midas asked to have everything he touched turned to gold. His wish was granted and Midas rejoiced, but not for long, for even his food and drink turned to gold before reaching his mouth. He prayed to Dionysos who took pity on him and gave him instructions for removing the cursed blessing.     The name Midas is said to be Phrygian, and of unknown etymology. It might share the same origin as Hebrew Midrash, MIDAS means "to repeat," especially in order to make an impression on the mind. Midrash refers to the methods used (including repetition) in Old Testament stories for fixing morals in the mind.     Midrash derives from the word midah/middah ("action, measure, rule"), the plural of which is midos ("actions of man," or "rulers of man" especially of man's traits; hence "personality traits." Midos is the ruler of our personality and behavior; it determines what is the central focus of our mind which affects all of our actions and thoughts. Midas was ruled by negative midos, bad traits; he was self-focused and acted rashly, making a bad choice, when offered anything he wanted.Â
Girl/Female
Hindu, Indian, Tamil, Telugu
Friend; Focus
Surname or Lastname
English
English : nickname from the animal, Middle English, Old English fox. It may have denoted a cunning individual or been given to someone with red hair or for some other anecdotal reason. This relatively common and readily understood surname seems to have absorbed some early examples of less transparent surnames derived from the Germanic personal names mentioned at Faulks and Foulks.Irish : part translation of Gaelic Mac an tSionnaigh ‘son of the fox’ (see Tinney).Jewish (American) : translation of the Ashkenazic Jewish surname Fuchs.Americanized spelling of Focks, a North German patronymic from the personal name Fock (see Volk).Americanized spelling of Fochs, a North German variant of Fuchs, or in some cases no doubt a translation of Fuchs itself.
Girl/Female
Indian
Focus
FOCUS GEOMETRY
FOCUS GEOMETRY
Girl/Female
American, Australian, British, English
White Waves; Combination of Jenna and Lee; Modern Variant of Jenny and Jennifer
Boy/Male
Greek Danish
Vigilant.
Surname or Lastname
English
English : habitational name from any of various places called Worton. Most are named with Old English wyrt ‘plant’, ‘vegetable’ + tÅ«n ‘enclosure’, i.e. a kitchen garden, but in some cases the first element may be Old English worð ‘enclosure’ (see Worth), and in the case of Nether and Over Worton in Oxfordshire (Hortone in Domesday Book, Orton in other early sources), it is Old English Åra ‘bank’, ‘slope’.
Boy/Male
English
Diminutives of any masculine or feminine name begining with Christ-, for example Christahel,...
Boy/Male
American, British, English, Gaelic, Gujarati, Hindu, Indian, Irish, Kannada, Malayalam, Marathi, Telugu
Light Skinned; Fair-skinned; Fair; The God of Silence
Girl/Female
Arabic, Muslim
Brilliant
Boy/Male
Greek
Befiended by Telemachus.
Female
Slovene
 Slovene form of English Emily, EMA means "rival." Compare with other forms of Ema.
Surname or Lastname
English
English : variant of Town.Japanese : variously written, usually with characters meaning either ‘sword’ or ‘benefit’ and ‘root’, the latter version being used for the name of the Tone River, which was formerly the boundary between the provinces of Musashi (now TÅkyÅ and Saitama prefecture) and ShimÅsa (now Chiba prefecture), until it was diverted in early modern times to become the northern boundary of Chiba. Some families may have taken their name from the name of the river.
Girl/Female
Biblical
Heifer, chariot, round.
FOCUS GEOMETRY
FOCUS GEOMETRY
FOCUS GEOMETRY
FOCUS GEOMETRY
FOCUS GEOMETRY
pl.
of Focus
a.
Eating fucus or other seaweeds.
n.
A point in which the rays of light meet, after being reflected or refrcted, and at which the image is formed; as, the focus of a lens or mirror.
n.
A central point; a point of concentration.
pl.
of Locus
pl.
of Focus
v. t.
To adulterate; to drug; as, liquor is said to be hocused for the purpose of stupefying the drinker.
n.
A point so related to a conic section and certain straight line called the directrix that the ratio of the distace between any point of the curve and the focus to the distance of the same point from the directrix is constant.
p. pr. & vb. n.
of Focus
n.
One who cheats or deceives.
pl.
of Locus
v. t.
To bring to a focus; to focalize; as, to focus a camera.
v. t.
To converge to one point or focus, as light or rays.
imp. & p. p.
of Focus
v. t.
To bring to a focus; to focus; to concentrate.
v. t.
To deceive or cheat.
a.
Belonging to,or concerning, a focus; as, a focal point.
v. t.
To stupefy with drugged liquor.
n.
Drugged liquor.
pl.
of Fucus