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In geometry a line segment joining two nonconsecutive vertices of a polygon or polyhedron
In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any
Diagonal
Matrices similar to diagonal matrices
non-defective if it is similar to a diagonal matrix. That is, if there exists an invertible matrix P {\displaystyle P} and a diagonal matrix D {\displaystyle D}
Diagonalizable_matrix
Topics referred to by the same term
Look up diagonalization in Wiktionary, the free dictionary. In logic and mathematics, diagonalization may refer to: Matrix diagonalization, a construction
Diagonalization
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
Entries of a matrix for which the row and column indices are equal
linear algebra, the main diagonal (sometimes principal diagonal, primary diagonal, leading diagonal, major diagonal, or good diagonal) of a matrix A {\displaystyle
Main_diagonal
Matrix whose only nonzero elements are on its main diagonal
In linear algebra, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term usually refers to square matrices
Diagonal_matrix
Band of low-density population in France
The empty diagonal (French: diagonale du vide) is a band of low-density population that stretches from the French department of the Landes in the southwest
Empty_diagonal
Subclass of matrices
mathematics, a square matrix is said to be diagonally dominant if, for every row of the matrix, the magnitude of the diagonal entry in a row is greater than or
Diagonally_dominant_matrix
where the product A × A {\displaystyle A\times A} exists, there exists the diagonal morphism δ A : A → A × A {\displaystyle \delta _{A}:A\rightarrow A\times
Diagonal_morphism
Cutting tool
Diagonal pliers (also known as wire cutters or diagonal cutting pliers, or under many regional names) are pliers intended for the cutting of wire or small
Diagonal_pliers
mathematics and the theory of magic squares, a broken diagonal is a set of n cells forming two parallel diagonal lines in the square. Alternatively, these two
Broken_diagonal
Statement in mathematical logic
In mathematical logic, the diagonal lemma (also known as diagonalization lemma, self-reference lemma or fixed point theorem) establishes the existence
Diagonal_lemma
In derivatives trading, the term diagonal spread is applied to an options spread position that shares features of both a calendar spread and a vertical
Diagonal_spread
Topics referred to by the same term
A diagonal argument, in mathematics, is a technique employed in proofs. The following theorems are notable examples: Cantor's diagonal argument (the earliest)
Diagonal_argument
Game administrator in association football
the same diagonal throughout the same match. Most initially opted for the right-wing diagonal although over the years the left-wing diagonal became increasingly
Referee (association football)
Referee_(association_football)
Line connecting two vertices that are not on the same face
diagonal (also interior diagonal or body diagonal) of a polyhedron is a line connecting two vertices that are not on the same face. Space diagonals contrast
Space_diagonal
Matrix whose only nonzero entries lie on the lower-left-to-upper-right diagonal
known as the anti-diagonal (sometimes Harrison diagonal, secondary diagonal, trailing diagonal, minor diagonal, off diagonal or bad diagonal). An n-by-n matrix
Anti-diagonal_matrix
Type of hammer used in metalworking
"Forging the double diagonal peen hammer part 1". youtube.com (video). Retrieved Dec 19, 2024.. See also "Forging the double diagonal peen hammer part 2"
Ball-peen_hammer
Matrix with nonzero elements on the main diagonal and the diagonals above and below it
the main diagonal, the subdiagonal/lower diagonal (the first diagonal below this), and the supradiagonal/upper diagonal (the first diagonal above the
Tridiagonal_matrix
Visualization of the prime numbers formed by arranging the integers into a spiral
Gardner emphasized the striking appearance in the spiral of prominent diagonal, horizontal, and vertical lines containing large numbers of primes. Both
Ulam_spiral
South American climate zone
The Arid Diagonal (Spanish: diagonal árida/arreica) is a contiguous zone of arid and semi-arid climate that traverses South America from coastal Peru
Arid_Diagonal
Angled mirror or prism used in telescopes
A star diagonal, erecting lens or diagonal mirror is an angled mirror or prism used in telescopes that allows viewing from a direction that is perpendicular
Star_diagonal
Thoroughfare in Barcelona, Spain
Avinguda Diagonal (Catalan: [əβiŋˈɡuðə ði.əɣuˈnal]; Spanish: Avenida Diagonal; transl. 'Diagonal Avenue') is the name of one of Barcelona's broadest and
Avinguda_Diagonal
Curves whose limit does not preserve length
converge uniformly to the diagonal of the square. However, each staircase has length two, while the length of the diagonal is the square root of 2 (approximately
Staircase_paradox
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)
Red circle with a red diagonal line, indicating something is not permitted
interdictory circle, and the prohibited symbol, is a red circle with a 45-degree diagonal line inside the circle from upper-left to lower-right. It is typically
No_symbol
City in Iowa, USA
Diagonal is a city in northwest Ringgold County, Iowa, the United States. The population was 344 at the time of the 2020 census. The community was named
Diagonal,_Iowa
Diagonal crease in the earlobe
Frank's sign is a diagonal crease in the earlobe extending from the tragus across the lobule to the rear edge of the auricle. The sign is named after Sanders
Frank's_sign
Concept in geometry
In geometry, a face diagonal of a polyhedron is a diagonal on one of the faces, in contrast to a space diagonal passing through the interior of the polyhedron
Face_diagonal
Type of gas compressor
A mixed flow compressor, or diagonal compressor, combines axial and radial components to produce a diagonal airflow compressor stage. The exit mean radius
Mixed_flow_compressor
Matrix defined using smaller matrices called blocks
like the block diagonal matrix a square matrix, having square matrices (blocks) in the lower diagonal, main diagonal and upper diagonal, with all other
Block_matrix
Letter of the Latin alphabet
K with diagonal stroke (Ꝃ, ꝃ) is a letter of the Latin alphabet, derived from K with the addition of a diagonal bar through the leg. This letter is used
K_with_diagonal_stroke
a magic cube, a broken space diagonal is a sequence of cells of the cube that follows a line parallel to a space diagonal of the cube, and continues on
Broken_space_diagonal
the mathematical discipline of group theory, for a given group G, the diagonal subgroup of the n-fold direct product G n is the subgroup { ( g , … ,
Diagonal_subgroup
Relationship between elements on the periodic table
In chemistry, a diagonal relationship is said to exist between certain pairs of diagonally adjacent elements in the second and third periods (first 20
Diagonal_relationship
In category theory, a branch of mathematics, the diagonal functor C → C × C {\displaystyle {\mathcal {C}}\rightarrow {\mathcal {C}}\times {\mathcal {C}}}
Diagonal_functor
London-based multi channel network owned by Sky
Diagonal View is a Multi Channel Network founded in March 2008 by Matt Heiman and Steve Carey, together with ITN. Unlike many other MCNs who are primary
Diagonal_View
Satirical website for photographs of cats
and other features that suggest a typically stern expression. Some have diagonal black patches on their heads resembling Hitler's fringe. The site was founded
Cats_That_Look_Like_Hitler!
Topics referred to by the same term
A diagonal is a line segment joining two non-adjacent vertices of a polygon or polyhedron. Diagonal may also refer to: Diagonal brace, a beam used to
Diagonal_(disambiguation)
Wrong Diagonal Bishop ☖ pieces in hand: 角 ☗ pieces in hand: – The Wrong Diagonal Bishop or Parallel-Diagonal Bishop (筋違い角 or 筋違角 sujichigai kaku) is a
Wrong_Diagonal_Bishop
Slanting line punctuation mark (/)
U+2044 ⁄ FRACTION SLASH U+2215 ∕ DIVISION SLASH U+2571 ╱ BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFT U+29F8 ⧸ BIG SOLIDUS U+FF0F ／ FULLWIDTH SOLIDUS
Slash_(punctuation)
Woven fabric textile weave
Twill is a type of textile weave with a pattern of parallel, diagonal ribs. It is one of three fundamental types of weave, along with plain weave and satin
Twill
Quantum states of two qubits
Bell diagonal states are a class of bipartite qubit states that are frequently used in quantum information and quantum computation theory. The Bell diagonal
Bell_diagonal_state
Groups of stars in Ancient Egyptian astronomy
uncertainty surrounding the observation methods used to develop and populate the diagonal star tables, and the criteria used to select decans (brightness, position
Decan
Physical size of pictures and videos
displayed. The size of a screen is usually described by the length of its diagonal, which is the distance between opposite corners, typically measured in
Display_size
Theorem in category theory
a broad abstract generalization of many diagonal arguments in mathematics and logic, such as Cantor's diagonal argument, Cantor's theorem, Russell's paradox
Lawvere's_fixed-point_theorem
Matrix with non-zero elements only in a diagonal band
whose non-zero entries are confined to a diagonal band, comprising the main diagonal and zero or more diagonals on either side. Formally, consider an n×n
Band_matrix
Multi use, Office in Johannesburg, South Africa
11 Diagonal Street (also known as the diamond building) is an iconic office tower in downtown Johannesburg, South Africa, that was built by Anglo American
11_Diagonal_Street
Barcelona Metro station
Provença and Diagonal are two connected rapid transit stations that form a major transport hub in Barcelona's Eixample district. Provença is served by
Provença–Diagonal_station
Letter of the Latin alphabet
V with diagonal stroke (Ꝟ, ꝟ) is a letter of the Latin alphabet, derived from V with the addition of a bar through the left stroke. This letter is used
V_with_diagonal_stroke
Topics referred to by the same term
A diagonal mirror is a flat mirror used to produce a right-angle bend in a light path. Examples of diagonal mirrors include: The secondary mirror used
Diagonal_mirror
main diagonal and either the diagonal above or the diagonal below. This means there are exactly two non-zero diagonals in the matrix. When the diagonal above
Bidiagonal_matrix
Skyscraper in Barcelona
Diagonal ZeroZero (also Torre Diagonal ZeroZero, Diagonal 00) is a skyscraper in Barcelona, Catalonia, Spain. The building is 110 metres (360 ft) tall
Diagonal_Zero_Zero
The Anatolian diagonal is a theoretical dividing line which runs diagonally across central and eastern Turkey from the northeastern corner of the Mediterranean
Anatolian_diagonal
Method in linear algebra
In linear algebra, an orthogonal diagonalization of a normal matrix (e.g. a symmetric matrix) is a diagonalization by means of an orthogonal change of
Orthogonal_diagonalization
Square at the University of Michigan Central Campus
referred to as the Diagonal Green, the Diag acquires its name from the multitude of sidewalks that traverse or border it in diagonal directions. Numerous
The_Diag
Matrix equal to its transpose
for every }}i,j,\quad a_{ji}=a_{ij}.} Every square diagonal matrix is symmetric, since all off-diagonal elements are zero. Similarly in characteristic different
Symmetric_matrix
Hotel in Catalonia, Spain
Hilton Diagonal Mar Barcelona is a skyscraper and hotel in Barcelona, Catalonia, Spain. Completed in 2004, has 25 floors and rises 85 metres. It is part
Hilton_Diagonal_Mar_Barcelona
Neighbourhood of Barcelona in Catalonia, Spain
Diagonal Mar i el Front Marítim del Poblenou (Catalan: [diəɣuˈnal ˈmaɾ i əl ˈfɾom məˈɾitim dəl ˌpɔbləˈnɔw]; "Diagonal Mar and the Poblenou Seafront")
Diagonal Mar i el Front Marítim del Poblenou
Diagonal_Mar_i_el_Front_Marítim_del_Poblenou
has a few clusters of skyscrapers (outside the historic city center): Diagonal Mar (nearly twenty skyscrapers), Gran Via (about fifteen skyscrapers),
List of tallest buildings in Barcelona
List_of_tallest_buildings_in_Barcelona
Heraldic and vexillogical symbol in the form of a diagonal cross
Andrew's Cross or the crux decussata, is a heraldic symbol in the form of a diagonal cross. The word comes from the Middle French sautoir, Medieval Latin saltatoria
Saltire
Topics referred to by the same term
Twisted diagonal may refer to: Twisted diagonal (category theory) Twisted diagonal (simplicial sets) This disambiguation page lists articles associated
Twisted_diagonal
Gait of a horse
The trot is a two-beat diagonal horse gait where the diagonal pairs of legs move forward at the same time with a moment of suspension between each beat
Trot
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
Species of fish
The diagonal butterflyfish (Chaetodon fasciatus), also known as the Red Sea raccoon butterflyfish, is a species of marine ray-finned fish, a butterflyfish
Diagonal_butterflyfish
Flag of Galicia, Spain
northwestern Spain, consists of a white field intersected by a celestial blue diagonal band. The institutional flag incorporates the Galician coat of arms over
Flag_of_Galicia
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
Type of truss
bridge consisting of chords, verticals, and diagonals whose vertical members are in tension and whose diagonal members are in compression. The Howe truss
Howe_truss
Traffic management concept
allowing pedestrians to cross an intersection in every direction, including diagonally, at the same time. In Canada and the United States, the pedestrian scramble
Pedestrian_scramble
Construction for simplicial sets
twisted diagonal of a simplicial set (for ∞-categories also called the twisted arrow ∞-category) is a construction, which generalizes the twisted diagonal of
Twisted diagonal (simplicial sets)
Twisted_diagonal_(simplicial_sets)
Special kind of square matrix
entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero. Because
Triangular_matrix
Consonant in the Cyrillic alphabet, written as Н
rising diagonal, exactly as in letter И. And the minuscule, use quite the same ductus (without the loops), leading generally to a rising diagonal too. In
En_(Cyrillic)
Rectangle with side lengths in the golden ratio
result is a golden rectangle as well. Owing to the Pythagorean theorem, the diagonal dividing one half of a square equals the radius of a circle whose outermost
Golden_rectangle
Square matrix with ones on the main diagonal and zeros elsewhere
the n × n {\displaystyle n\times n} square matrix with ones on the main diagonal and zeros elsewhere. It has unique properties; for example when the identity
Identity_matrix
Type of homogenous polynomial
In mathematics, a diagonal form is an algebraic form (homogeneous polynomial) without cross-terms involving different indeterminates. That is, it is of
Diagonal_form
Avenue in Buenos Aires, Argentina
Julio Argentino Roca, better known as Diagonal Sur (Spanish for "South Diagonal", the counterpart to Diagonal Norte), is an important avenue in the Monserrat
Avenida Presidente Julio Argentino Roca
Avenida_Presidente_Julio_Argentino_Roca
Logic-based number-placement puzzle
simplified the 9×9 magic square puzzle so that each row, column, and broken diagonals contained only the numbers 1–9, but did not mark the subsquares. Although
Sudoku
Public school district in Diagonal, Iowa, United States
/ 40.807892; -94.344339 Diagonal Community School District is a rural public K-12 school district headquartered in Diagonal, Iowa. The district, with
Diagonal Community School District
Diagonal_Community_School_District
Result about when a matrix can be diagonalized
result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some basis). This is extremely useful because
Spectral_theorem
Street in Buenos Aires, Argentina
Avenida Roque Sáenz Peña, better known as Diagonal Norte (Spanish for "North Diagonal", the counterpart to Diagonal Sur), is an important avenue in the San
Avenida_Roque_Sáenz_Peña
Four-sided polygon
the diagonals cross at right angles. Equidiagonal quadrilateral: the diagonals are of equal length. Bisect-diagonal quadrilateral: one diagonal bisects
Quadrilateral
Sum of elements on the main diagonal
matrix A, denoted tr(A), is defined as a sum of the elements on its main diagonal, a 11 + a 22 + ⋯ + a n n {\displaystyle a_{11}+a_{22}+\dots +a_{nn}} .
Trace_(linear_algebra)
Quadrilateral with two pairs of parallel sides
constructed concurrent to a diagonal, then the parallelograms formed on opposite sides of that diagonal are equal in area. The diagonals of a parallelogram divide
Parallelogram
Matrix in which most of the elements are zero
efficiently as an adjacency list. A block-diagonal matrix consists of sub-matrices along its diagonal blocks. A block-diagonal matrix A has the form A = [ A 1 0
Sparse_matrix
Topics referred to by the same term
The diagonal formula can refer to: some geometric method see Polygon entry The formula developed by Aumann and Shapley to construct a Shapley value for
Diagonal_formula
Block diagonal matrix of Jordan blocks
Jordan, is a block diagonal matrix over a ring R (whose identities are the zero (0) and one (1)), where each block along the diagonal, called a Jordan block
Jordan_matrix
Building in Catalonia, Spain
Torre Nova Diagonal is a 22-story residential skyscraper in Barcelona, Catalonia, Spain. It was constructed from 2003 to 2007, and stands at a height of
Torre_Nova_Diagonal
Infantry formation
hoplite order of battle and advance (elite troops in red). Bottom: the diagonal phalanx utilised by the Thebans under Epaminondas. The strong left wing
Phalanx
finer degree of accuracy. Their use creates what is sometimes called a diagonal scale, an engineering measuring instrument which is composed of a set of
Transversal (instrument making)
Transversal_(instrument_making)
X-shaped support substructure
dwanging, are diagonal supports that intersect to reinforce structures.[citation needed] Cross bracing is usually seen with two diagonal supports placed
Cross_bracing
Tabular arrangement of the chemical elements
tend to show similar chemical characteristics. Vertical, horizontal and diagonal trends characterize the periodic table. Metallic character increases going
Periodic_table
1617 device for calculating products and quotients
nine squares. Each square except the top is divided into two halves by a diagonal line from the bottom left corner to the top right. The squares contain
Napier's_bones
Diagonal cumulation is a rules of origin (RoO) provision in international trade whereby products from one country of origin can have value added to it
Diagonal_cumulation
Cuboid whose edges and face diagonals have integer lengths
named after Leonhard Euler, is a rectangular cuboid whose edges and face diagonals all have integer lengths. A primitive Euler brick is an Euler brick whose
Euler_brick
Quantum feature of condensed-matter systems
matter physics, an off-diagonal long-range order (ODLRO) is a feature of macroscopic quantum phenomena. It refers to off-diagonal elements in the density
Off-diagonal_long-range_order
Magic cube with extra constraints
The class of diagonal magic cubes is the second of the six magic cube classes (when ranked by the number of lines summing correctly), coming after the
Diagonal_magic_cube
Quadrilateral symmetric across a diagonal
geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of
Kite_(geometry)
Positive real number which when multiplied by itself gives 5
length of 5 {\displaystyle {\sqrt {5}}} can be constructed as the diagonal of a 2 × 1 {\displaystyle 2\times 1} unit rectangle. 5 {\displaystyle
Square_root_of_5
Matrix with the same number of rows and columns
The entries a i i {\displaystyle a_{ii}} (i = 1, ..., n) form the main diagonal of a square matrix. They lie on the imaginary line which runs from the
Square_matrix
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
DIAGONAL
DIAGONAL
DIAGONAL
DIAGONAL
Boy/Male
Indian, Punjabi, Sikh
Full of Charm
Girl/Female
Arabic, Muslim
Brightness
Male
English
Variant spelling of Middle English Ethelstan, ATHELSTAN means "noble stone."
Girl/Female
British, Christian, English, Hindu, Indian, Jamaican, Kannada, Marathi, Scottish, Sindhi
Good; Fair of Face; Charming; Cute Like Rabbit; Bringer of Victory
Girl/Female
Tamil
Kowsika | கோவà¯à®¸à¯€à®•à®¾Â
The unique
Boy/Male
Bengali, Hindu, Indian
Lord Shiva's Companion
Male
Chinese
genial speaker.
Boy/Male
Indian, Sanskrit
Causing Triumph
Boy/Male
English
From the valley.
Boy/Male
Indian
Poet.
DIAGONAL
DIAGONAL
DIAGONAL
DIAGONAL
DIAGONAL
a.
Having the end secured by nails driven obliquely, said of a board, plank, or joist serving as a brace, and in general of any part of a frame secured to other parts by diagonal nailing.
adv.
In a diagonal direction.
v. i.
A line led from a vessel's quarter to her cable so that by tightening or slacking it she can be made to lie in any desired position; a line led diagonally from the bow or stern of a vessel to some point upon the wharf to which she is moored.
n.
Purple, -- represented in engraving by diagonal lines declining from the right top to the left base of the escutcheon (or from sinister chief to dexter base).
n.
An opera glass or field glass with an oblique mirror arranged for seeing objects do not lie directly before the eye; -- called also diagonal, / side, opera glass.
n.
The force or pressure of one part of a construction against other parts; especially (Arch.), a horizontal or diagonal outward pressure, as of an arch against its abutments, or of rafters against the wall which support them.
v. i.
A small boom, pole, or spar, which crosses the sail of a boat diagonally from the mast to the upper aftmost corner, which it is used to extend and elevate.
a.
A telescope with a diagonal eyepiece, suspended vertically in gimbals by the object end beneath a fixed diagonal plane mirror. It is used for delineating landscapes, by means of a pencil at the eye end which leaves the delineation on paper.
n.
A tincture, rarely employed, which is considered as an orange color or bright brown. It is represented by diagonal lines from sinister to dexter, crossed by vertical lines.
v. i.
To weave, as cloth, so as to produce the appearance of diagonal lines or ribs on the surface.
n.
A square of glass, esp. when set diagonally.
n.
The longer of two diagonals, as of a rhombic prism. See Crystallization.
a.
Borne not erect, but diagonally athwart an escutcheon; as, a cross portate.
n.
A diagonal cloth; a kind of cloth having diagonal stripes, ridges, or welts made in the weaving.
n.
The arch or rib which crosses a Gothic vault diagonally.
v. t.
To throw, as a musket, diagonally across the body, with the lock in front, the right hand grasping the small of the stock, and the barrel sloping upward and crossing the point of the left shoulder; as, to port arms.
v. t.
An appearance of diagonal lines or ribs produced in textile fabrics by causing the weft threads to pass over one and under two, or over one and under three or more, warp threads, instead of over one and under the next in regular succession, as in plain weaving.
n.
A plane surface divided in one direction with lines representing hours and minutes, and in the other with lines representing miles, and having diagonals (usually movable strings) representing the speed and position of various trains.
a.
Notched in regular diagonal breaks; -- said of a line, or a bearing having such an edge.
n.
Paving or flooring made of small squares or lozenges set diagonally.