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Diagonal intersection is a term used in mathematics, especially in set theory. If δ {\displaystyle \displaystyle \delta } is an ordinal number and ⟨ X
Diagonal_intersection
In geometry a line segment joining two nonconsecutive vertices of a polygon or polyhedron
If no three diagonals of a convex polygon are concurrent at a point in the interior, the number of interior intersections of diagonals is given by (
Diagonal
Special quadrilateral whose diagonals intersect at right angles
parallel to the diagonals of ABCD. There are several metric characterizations regarding the four triangles formed by the diagonal intersection P and the vertices
Orthodiagonal_quadrilateral
Traffic management concept
traffic, thereby allowing pedestrians to cross an intersection in every direction, including diagonally, at the same time. In Canada and the United States
Pedestrian_scramble
Proof in set theory
Cantor's diagonal argument (among various similar names) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence
Cantor's_diagonal_argument
Polygon whose four sides all touch a circle
the segments that the diagonal intersection P divides diagonal AC into as AP = p1 and PC = p2, and similarly P divides diagonal BD into segments BP =
Tangential_quadrilateral
Convex quadrilateral with at least one pair of parallel sides
a right trapezoid, given the diagonal lengths and the distance from the perpendicular leg to the diagonal intersection. Frustum, a solid having trapezoidal
Trapezoid
Quadrilateral whose vertices lie on a circle
quadrilateral ABCD to be cyclic are: let E be the point of intersection of the diagonals, let F be the intersection point of the extensions of the sides AD and BC
Cyclic_quadrilateral
Set theory concept
\,} is a regular cardinal then club sets are also closed under diagonal intersection. In fact, if κ {\displaystyle \kappa \,} is regular and F {\displaystyle
Club_set
Road junction where two or more roads either meet or cross at grade
perpendicular streets and a diagonal street is a rather common type of 6-way intersection. Five, seven or more approaches to a single intersection, such as at Seven
Intersection_(road)
Greek letter Δ) 1. The symmetric difference of two sets 2. A diagonal intersection ◊ The diamond principle ♣ A clubsuit principle □ The square principle
Glossary_of_set_theory
Set of elements common to all of some sets
In set theory, the intersection of two sets A {\displaystyle A} and B , {\displaystyle B,} denoted by A ∩ B , {\displaystyle A\cap B,} is the set containing
Intersection_(set_theory)
Barcelona Metro station
Diagonal features a new stop in the intersection with Passeig de Gràcia. The stop's tentative name is 'Diagonal | Cinc d'Oros'. The 2 kilometer stretch
Provença–Diagonal_station
Combinatorial principle
equivalent to a property of partitions of κ {\displaystyle \kappa } with diagonal intersection of initial segments of the partitions stationary in κ {\displaystyle
Diamond_principle
Concept in mathematical set theory
_{\alpha <\kappa }C_{\alpha }} . The club sets are closed under diagonal intersection, so C {\displaystyle C} is also club and therefore there is some
Fodor's_lemma
Traffic intersection
diesel typically spend less time idling at roundabouts than at signalled intersections, using a roundabout potentially leads to less pollution. When entering
Roundabout
Equation of the form 1/a + 1/b = 1/c
sides as a and b and half the length of the segment through the diagonal intersection as c, the sum of the reciprocals of a and b equals the reciprocal
Optic_equation
Photography
The diagonal method (DM) is a rule of thumb in photography, painting, and drawing. Dutch photographer and lecturer Edwin Westhoff discovered the method
Diagonal_method
} is a κ {\displaystyle \kappa } -complete filter closed under diagonal intersection called the club filter. To see that this is a filter, note that
Club_filter
Four-sided polygon
AC and BD form the diagonals from A to C and from B to D. The angle θ {\displaystyle \theta } at the intersection of the diagonals satisfies cos θ =
Quadrilateral
Trapezoid symmetrical about an axis
and B D {\displaystyle BD} are the diagonals of, and E {\displaystyle E} is the intersection between two diagonals of an isosceles trapezoid. In an isosceles
Isosceles_trapezoid
Diagonal Right Directional Arrow M6-2PL Diagonal Left Directional Arrow M6-2aPR Downward Diagonal Right Directional Arrow M6-2aPL Downward Diagonal Left
Road signs in the United States
Road_signs_in_the_United_States
Kind of large cardinal number
{\displaystyle \kappa } , there is a normal (i.e. closed under diagonal intersection) non-trivial κ {\displaystyle \kappa } -complete filter F {\displaystyle
Ineffable_cardinal
The second design of 4 padas has a symbolic central core at the diagonal intersection, and is also a meditative layout. The 9 pada design has a sacred
Hindu_temple_architecture
equivalent, the ultrafilter (set of sets with measure 1) is closed under diagonal intersection. For a normal measure μ {\displaystyle \mu } , any closed unbounded
Normal_measure
Computer graphics rendering algorithm
edges: the original twelve, six face diagonals, and the main diagonal. Just like in marching cubes, the intersections of these edges with the isosurface
Marching_tetrahedra
Mathematical concept
M-ultrafilter: for any sequence ⟨Xβ : β < κ⟩ ∈ M of members of U, the diagonal intersection ΔXβ = {α < κ : ∀β < α(α ∈ Xβ)} ∈ U, U is weakly amenable: for any
Ramsey_cardinal
Type of large transfinite number
and only if there is a normal (i.e. nontrivial and closed under diagonal intersections) κ-complete filter on the power set of κ that is closed under the
Mahlo_cardinal
New York City Subway station in Manhattan
The South Ferry-bound fare control has four street stairs to the diagonal intersection of Christopher Street and Seventh Avenue: two to the northwestern
Christopher Street–Stonewall station
Christopher_Street–Stonewall_station
Shape with six sides
{3}}}} times the apothem (radius of the inscribed circle). The longest diagonals of a regular hexagon, connecting diametrically opposite vertices, are
Hexagon
of North Tazewell where it encounters a diagonal intersection with State Route 61. Only after this intersection does the road run parallel to the North
Special routes of U.S. Route 460
Special_routes_of_U.S._Route_460
to the north between CR 621 and Southwest 39th Drive. It has one diagonal intersection with CR 619, before encountering the northern terminus of that rural
List of county roads in Sumter County, Florida
List_of_county_roads_in_Sumter_County,_Florida
State highway in Florida, United States
This road also leads to the airport. Three blocks later, it has a diagonal intersection with State Road 391 (Airport Road), which as the name implies leads
Florida_State_Road_368
Rectangle with side lengths in the golden ratio
divides the diagonal in ratio φ 2 . {\displaystyle \varphi ^{2}.} If a horizontal line is drawn through the intersection point of the diagonal and the
Golden_rectangle
Signalling device to control competing flows of traffic
Africa, Zambia, and Namibia – are signalling devices positioned at road intersections, pedestrian crossings, and other locations to control the flow of traffic
Traffic_light
Quadrilateral with sides of equal length
lozenge, and calisson. Every rhombus is a simple polygon (having no self-intersections). A rhombus is a special case of a parallelogram and a kite. A rhombus
Rhombus
Neighborhood in Dallas, Texas, USA
neighborhood in east Dallas, Texas (USA) on the north corner of the diagonal intersection of Buckner Road (Loop 12) and Garland Road (SH 78). It is bordered
Lake_Park_Estates,_Dallas
Theorem on cyclic quadrilateral
(that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side
Brahmagupta_theorem
Circle constructed from a triangle
} Let ω be the nine-point circle of the diagonal triangle of a cyclic quadrilateral. The point of intersection of the bimedians of the cyclic quadrilateral
Nine-point_circle
Topological operation of turning a sphere inside-out without creasing
and continuously turn a sphere inside out in this way (allowing self-intersections of the sphere's surface) without cutting or tearing it or creating any
Sphere_eversion
Buenos Aires Underground station
the Buenos Aires Underground. From here, passengers may transfer to the Diagonal Norte Station on Line C and the 9 de Julio Station on Line D and Metrobus
Carlos Pellegrini (Buenos Aires Underground)
Carlos_Pellegrini_(Buenos_Aires_Underground)
given a morphism of schemes p : X → S {\displaystyle p:X\to S} , the diagonal morphism δ : X → X × S X {\displaystyle \delta :X\to X\times _{S}X} is
Diagonal morphism (algebraic geometry)
Diagonal_morphism_(algebraic_geometry)
Large-board variant of shogi, or Japanese chess
a grid of 19 ranks (rows) by 19 files (columns) with a total of 361 intersections. Each player has a set of 90 pieces of 34 different types. The pieces
Ko_shogi
At-grade road junction in which cyclists and pedestrians are separated from cars
A protected intersection or protected junction, also known as a Dutch-style junction, is a type of at-grade road junction in which cyclists and pedestrians
Protected_intersection
Sharp edge formed by the intersection of two surfaces
In architecture, an arris is the sharp edge formed by the intersection of two surfaces, such as the corner of a masonry unit; the edge of a timber in timber
Arris
Mathematician (1845–1918)
and subsequently made further important contributions, including his diagonal argument and theorem. However, he never again attained the high level of
Georg_Cantor
On the number of united points of a correspondence from an algebraic curve to itself
diagonal of C×C. The Chasles–Cayley–Brill formula follows easily from this together with the fact that the self-intersection number of the diagonal is
Chasles–Cayley–Brill_formula
Street in Buenos Aires, Argentina
julio meets Avenida Corrientes. Still in a straight diagonal line, it crosses this intersection and continues to the next crossroads, the junction of
Avenida_Roque_Sáenz_Peña
(Circular Intersection) M6-1 (D) Right Directional Arrow M6-1 (I) Left Directional Arrow M6-2 (D) Diagonal Right Directional Arrow M6-2 (I) Diagonal Left Directional
Road_signs_in_Puerto_Rico
Shape bounded by non-intersecting line segments
{\displaystyle n} sides can be triangulated by n − 3 {\displaystyle n-3} of its diagonals, and by the art gallery theorem its interior is visible from some ⌊ n
Simple_polygon
High-capacity urban road
traffic between collector roads and highways. For new arterial roads, intersections are often reduced to increase traffic flow. In California, arterial
Arterial_road
Point where two or more curves, lines, or edges meet
polygon vertex xi of a simple polygon P is a principal polygon vertex if the diagonal [x(i − 1), x(i + 1)] intersects the boundary of P only at x(i − 1) and
Vertex_(geometry)
Division of something into two equal or congruent parts
(that is, has perpendicular diagonals), then the perpendicular to a side from the point of intersection of the diagonals always bisects the opposite side
Bisection
Building in Barcelona, Spain
Josep Puig i Cadafalch. Located in the intersection between the streets of Rosselló, Bruc and the Avinguda Diagonal in the Barcelona Eixample area. Designed
Casa_de_les_Punxes
Mathematical set formed from two given sets
}&X_{n}\\X_{1}&X_{2}&\dots &X_{n-1}&A_{n}^{\complement }\end{array}}\right]} . The diagonal components of this matrix A i ∁ {\displaystyle A_{i}^{\complement }} are
Cartesian_product
Section of U.S. Highway
north from Glenville. Within the city, the road travels through a diagonal intersection with Hencart Road, a local street that leads northeast and southwest
U.S._Route_301_in_Georgia
Elements in exactly one of two sets
the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets { 1 , 2 , 3 } {\displaystyle
Symmetric_difference
Type of junction designed to prevent congestion of traffic
of the junction is typically marked with a yellow criss-cross grid of diagonal painted lines (or only two lines crossing each other in the box), and vehicles
Box_junction
Quadrilateral with two pairs of parallel sides
using sides B and C and angle γ {\displaystyle \gamma } at the intersection of the diagonals: K = | tan γ | 2 ⋅ | B 2 − C 2 | . {\displaystyle K={\frac
Parallelogram
Plane figure bounded by line segments
one which does not intersect itself. More precisely, the only allowed intersections among the line segments that make up the polygon are the shared endpoints
Polygon
State highway in Florida, United States
(18.7 km) from Auburndale to Haines City. SR 544 breaks off at a diagonal intersection from U.S. Route 92 (US 92) in Auburndale and heads east-southeast
Florida_State_Road_544
Identities and relationships involving sets
properties and laws of sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion
Algebra_of_sets
Bridge in Harrison and Otisfield, Maine
Warren truss bridges in the state, and is a rare example with double-intersection diagonals, added for increased rigidity. The bridge was listed on the National
Ryefield_Bridge
1968 international treaty
Red At intersection Stop Red and amber At intersection Signal is about to change (usually to green) Arrow pointing left Green At intersection Only traffic
Vienna Convention on Road Signs and Signals
Vienna_Convention_on_Road_Signs_and_Signals
that do not follow the city grid, often referred to as contour roads or diagonal roads. They are listed by type of road, then alphabetically. Albion Road
List of contour roads in Toronto
List_of_contour_roads_in_Toronto
Generalized notion of counting curve intersections
The intersection number arises in the study of fixed points, which can be cleverly defined as intersections of function graphs with a diagonals. Calculating
Intersection_number
Polygon shape with eight sides
types of diagonals: Short diagonal; Medium diagonal (also called span or height), which is twice the length of the inradius; Long diagonal, which is
Octagon
Limitative results in mathematical logic
shows that no such system can demonstrate its own consistency. Employing a diagonal argument, Gödel's incompleteness theorems were among the first of several
Gödel's incompleteness theorems
Gödel's_incompleteness_theorems
Strategy board game
to the intersection. In a 4-player pixel game, the player who succeeds in placing three of their stones in a horizontal, vertical, or diagonal row wins
Pixel_(board_game)
State highway in Colorado, United States
Rocky Mountain National Park, and SH 119 turns east becoming Diagonal Highway. At an intersection with State Highway 157, SH 119 bends northeast, paralleling
Colorado_State_Highway_119
Freeway in Kansas City, Kansas, US
The Turner Diagonal (map) is a short freeway in Kansas City, Kansas. It runs from Kansas Avenue northwest to State Avenue. It does not have a single numbered
Turner_Diagonal
Metro station in Barcelona, Spain
after Catalan poet Jacint Verdaguer is found at the intersection of two major streets, Avinguda Diagonal and Passeig de Sant Joan. The Line 4 platforms are
Verdaguer_station
Triangular array of the binomial coefficients
diagonal of Pascal's triangle corresponds to the coefficient of x n {\displaystyle x^{n}} in these binomial expansions, while the next left diagonal corresponds
Pascal's_triangle
Shape with five sides
{\displaystyle W} (distance between two farthest separated points, which equals the diagonal length D {\displaystyle D} ) and circumradius R {\displaystyle R} are given
Pentagon
US highway
rerouted over SH 114, bringing it to its current diagonal path across the Oklahoma Panhandle. Major intersections K-156 (Kansas highway) U.S. Route 156 KML file
U.S._Route_56
Place designated for pedestrians to cross a road
69% to 81%. Other patterns tested included transverse, longitudinal, and diagonal stripes, as well as checkerboards. The zebra performed the best, and the
Pedestrian_crossing
Geometric figure made of 4 points connected by 6 lines
pairs are called diagonals. For points and lines in the Euclidean plane, the diagonal points cannot lie on a single line, and the diagonals cannot have a
Complete_quadrangle
Bridge whose load-bearing superstructure is composed of a truss
This assumption means that members of the truss (chords, verticals, and diagonals) will act only in tension or compression. A more complex analysis is required
Truss_bridge
Two-player abstract strategy game from the Zuni Native American Indians or Pueblo Indians
midpoints. These four additional diagonal lines is what makes the Picaria board different from Tapatan or Achi. The intersection points are where the pieces
Picaria
Quadrilateral with four right angles
which consists of two opposite sides of a rectangle along with the two diagonals (therefore only two sides are parallel). It is a special case of an antiparallelogram
Rectangle
Finite ordered list of elements
Complement (i.e. set difference) De Morgan's laws Disjoint union Identities Intersection Power set Symmetric difference Union Concepts Methods Almost Cardinality
Tuple
Branch of mathematics that studies sets
uncountability proof, which differs from the more familiar proof using his diagonal argument. Cantor introduced fundamental constructions in set theory, such
Set_theory
Small, diagonal needlepoint or canvas work embroidery stitch
Tent stitch is a small, diagonal needlepoint stitch that crosses over the intersection of one horizontal (weft) and one vertical (warp) thread of needlepoint
Tent_stitch
Special symmetric bilinear form on the 2nd (co)homology group of a 4-manifold
simply-connected 4-manifold with positive definite intersection form has the diagonal (scalar 1) intersection form. So Freedman's classification implies there
Intersection form of a 4-manifold
Intersection_form_of_a_4-manifold
Line joining midpoints of a complete quadrilateral's 3 diagonals
the point of intersection between the two diagonals AC and BD. Extend the diagonals AB and CD until they meet at the point of intersection, E. Let the
Newton–Gauss_line
Area of discrete mathematics
on the Laplacian matrix of a graph, which involves the degree matrix (a diagonal matrix that represents the degree of a vertex) and the adjacency matrix
Graph_theory
Dual street grid system in Denver, CO
the diagonal streets of Auraria and original Denver were renamed, with the zero point at the original southwest corner of Denver, the intersection of West
Street_system_of_Denver
Property in general topology
to have the finite intersection property (FIP) if any finite subfamily of A {\displaystyle {\mathcal {A}}} has non-empty intersection. It has the strong
Finite_intersection_property
Diagram that shows all possible logical relations between a collection of sets
elements that are members of both sets S and T, denoted S ∩ T and read "the intersection of S and T", is represented visually by the area of overlap of the regions
Venn_diagram
Viaduct in New Jersey, United States
Taylor-Fichter Steel Construction Company—were awarded contracts for the so-called "Diagonal Highway", with construction to start in April 1930. The two river bridges
Pulaski_Skyway
Architectural term for an arched roof
which was given by the intersection of two semicircular barrel vaults, or cylinders, he employed the semicircular arch for the diagonal ribs; this, however
Vault_(architecture)
Assumption that motions of nuclei and electrons can be separated
\mathbb {H} _{\text{e}}(\mathbf {R} )} is diagonal, and the nuclear Hamilton matrix is non-diagonal; its off-diagonal (vibronic coupling) terms ( H n ( R )
Born–Oppenheimer approximation
Born–Oppenheimer_approximation
Theorem in geometry
joining the midpoints of the diagonals in that quadrilateral are concurrent and are all bisected by their point of intersection. In a convex quadrilateral
Varignon's_theorem
Chess variant native to Korea
can move diagonally (provided that these points are not attacked by enemy pieces), but the red general cannot, since there are no diagonal markings at
Janggi
Discrete dynamical system on polygons in the projective plane and on their moduli space
new polygon by taking the intersections of the "shortest" diagonals, and constructs a new polygon from these intersections. This is a projectively equivariant
Pentagram_map
Collection of mathematical objects
0 {\displaystyle \aleph _{0}} are called uncountable sets. Cantor's diagonal argument shows that, for every set S {\displaystyle S} , its power set
Set_(mathematics)
Symplectic topology tool
ambient manifold is M crossed with M and the Lagrangian submanifolds are the diagonal and the graph of the symplectomorphism. The construction of Heegaard Floer
Floer_homology
Curve from a cone intersecting a plane
Compare also spheric section (intersection of a plane with a sphere, producing a circle or point), and spherical conic (intersection of an elliptic cone with
Conic_section
District of Barcelona
sides around a garden; the streets were narrower; only one of the two diagonal avenues was carried out; the inhabitants were of a higher class than the
Eixample
Quantum physics and chemistry phenomenon
Born–Oppenheimer approximation, the electronic molecular Hamiltonian is diagonalized on a set of distinct molecular geometries (the obtained eigenvalues are
Avoided_crossing
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi
Original Name of Karna
Surname or Lastname
English (chiefly East Anglia)
English (chiefly East Anglia) : from Anglo-Norman French cachepol (a compound of cache(r) ‘to chase’ + pol ‘fowl’), an occupational name for a bailiff, originally one empowered to seize poultry and other livestock in case of default on debts or taxes.
Boy/Male
Indian, Sanskrit
Self Justice
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Lighted Up
Boy/Male
Tamil
Enough
Girl/Female
Australian, Irish
Queen
Boy/Male
Hindu
Transition
Girl/Female
Hindu
Shore, Musical instrument, Goddess of wealth
Girl/Female
Tamil
Lightning
Boy/Male
British, English
From the March
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
DIAGONAL INTERSECTION
adv.
In a diagonal direction.
v. t.
To cut diagonally.
a.
Diagonal.
a.
Cut slanting or diagonally, as cloth.
a.
Of or pertaining to a deacon.
n.
The shorter of the diagonals in a rhombic prism.
n.
A slant; a diagonal; as, to cut cloth on the bias.
n.
A quadrilateral, one of whose diagonals is an axis of symmetry.
a.
Notched in regular diagonal breaks; -- said of a line, or a bearing having such an edge.
adv.
Diagonally laid, as tiles; ridgewise.
a.
Joining two not adjacent angles of a quadrilateral or multilateral figure; running across from corner to corner; crossing at an angle with one of the sides.
a.
Having a single, distinct, diagonal cleavage; -- said of crystals.
n.
A member, in a framed structure, running obliquely across a panel.
n.
A diagonal cloth; a kind of cloth having diagonal stripes, ridges, or welts made in the weaving.
a.
Pertaining to a decagon; having ten sides.
a.
Diagonal; diametrical; hence; diametrically opposed.
a.
Pertaining to the shorter diagonal, as of a rhombic prism.
n.
Diagonal braces sometimes fixed across the hold.
n.
A right line drawn from one angle to another not adjacent, of a figure of four or more sides, and dividing it into two parts.
adv.
Diagonally.