Search references for DIAMOND THEOREM. Phrases containing DIAMOND THEOREM
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Topics referred to by the same term
mathematics, diamond theorem may refer to: Aztec diamond theorem on tilings Diamond isomorphism theorem on modular lattices Haran's diamond theorem on Hilbertian
Diamond_theorem
Relates rational elliptic curves to modular forms
Fred Diamond and Richard Taylor, culminating in a joint paper with Christophe Breuil, extended Wiles's techniques to prove the full modularity theorem in
Modularity_theorem
Sufficient condition for a separable extension of a Hilbertian field to be Hilbertian
In mathematics, the Haran diamond theorem gives a general sufficient condition for a separable extension of a Hilbertian field to be Hilbertian. Let K
Haran's_diamond_theorem
Shape in mathematics of domino tiling
The Aztec diamond theorem states that the number of domino tilings of the Aztec diamond of order n is 2n(n+1)/2. The Arctic Circle theorem says that a
Aztec_diamond
Group of mathematical theorems
{\displaystyle SN} . This theorem is sometimes called the second isomorphism theorem, diamond theorem or the parallelogram theorem. An application of the
Isomorphism_theorems
17th-century conjecture proved by Andrew Wiles in 1994
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that there are no positive integers a
Fermat's_Last_Theorem
American economist (born 1940)
Peter Arthur Diamond (born April 29, 1940) is an American economist known for his analysis of U.S. Social Security policy and his work as an advisor to
Peter_Diamond
Mathematical tool
Raajan, "New visual secret sharing scheme for gray-level images using diamond theorem correlation pattern structure," 2016 International Conference on Circuit
Miracle_Octad_Generator
binomial theorem (combinatorics) Alspach's theorem (graph theory) Aztec diamond theorem (combinatorics) BEST theorem (graph theory) Baranyai's theorem (combinatorics)
List_of_theorems
In mathematics, a statement that has been proven
mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses
Theorem
Theorem in theoretical computer science
In lambda calculus, the Church–Rosser theorem states that, when applying reduction rules to terms, the ordering in which the reductions are chosen does
Church–Rosser_theorem
Operation in group theory
isomorphism theorem, (although the numbering of these theorems sees some variation between authors); it has also been called the diamond theorem by I. Martin
Product_of_group_subsets
Type of lattice in mathematical order theory
of projection onto the sublattice [a, b], a fact known as the diamond isomorphism theorem. An alternative but equivalent condition stated as an equation
Modular_lattice
1995 publication in mathematics
Together with Ribet's theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be
Wiles's proof of Fermat's Last Theorem
Wiles's_proof_of_Fermat's_Last_Theorem
is Hilbertian. The most general result in this direction is Haran's diamond theorem. A discussion on these results and more appears in Fried-Jarden's Field
Thin_set_(Serre)
Certain kind of modal formula
modal formula with remarkable properties. The Sahlqvist correspondence theorem states that every Sahlqvist formula is canonical, and corresponds to a
Sahlqvist_formula
American mathematician (1964-)
Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves. His research
Fred_Diamond
British mathematician who proved Fermat's Last Theorem
specialising in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal
Andrew_Wiles
Mathematical integer sequence
Eu, Sen-Peng; Fu, Tung-Shan (2005). "A simple proof of the Aztec diamond theorem". Electronic Journal of Combinatorics. 12 (1077–8926): Research Paper
Schröder_number
American mathematician and Nobel Laureate (1928–2015)
geometry. This work, also introducing a preliminary form of the Nash–Moser theorem, was later recognized by the American Mathematical Society with the Leroy
John_Forbes_Nash_Jr.
On the number of spanning trees in a graph
mathematical field of graph theory, Kirchhoff's theorem or Kirchhoff's matrix tree theorem is a theorem about the number of spanning trees in a graph.
Kirchhoff's_theorem
On the existence of arithmetic progressions in subsets of the natural numbers
Roth's theorem on arithmetic progressions is a result in additive combinatorics concerning the existence of arithmetic progressions in subsets of the
Roth's theorem on arithmetic progressions
Roth's_theorem_on_arithmetic_progressions
In economics, the Debreu's theorems are preference representation theorems—statements about the representation of a preference ordering by a real-valued
Debreu's representation theorems
Debreu's_representation_theorems
Extends the Jordan curve theorem to characterize the inner and outer regions
the Schoenflies problem or Schoenflies theorem, of geometric topology is a sharpening of the Jordan curve theorem by Arthur Schoenflies. For Jordan curves
Schoenflies_problem
maximality theorem Well-ordering theorem Zorn's lemma Axiom of global choice Axiom of countable choice Axiom of dependent choice Boolean prime ideal theorem Axiom
List_of_axioms
British mathematician (1885–1977)
Littlewood showed that if the Riemann hypothesis is true, then the prime number theorem follows and obtained the error term. This work won him his Trinity fellowship
John_Edensor_Littlewood
logic containing (as axiom or theorem scheme) the duality of the modal operators ◊ A ↔ ¬ ◻ ¬ A {\displaystyle \Diamond A\leftrightarrow \lnot \Box \lnot
Classical_modal_logic
Theorem in classical statistical mechanics
mechanics, the equipartition theorem relates the temperature of a system to its average energies. The equipartition theorem is also known as the law of
Equipartition_theorem
Special type of lattice
further structure. Another early representation theorem is now known as Stone's representation theorem for distributive lattices (the name honors Marshall
Distributive_lattice
Formal argument for the existence of God
"possibly exemplified", i.e. applies at least to some object in some world (theorem 1). Defining an object to be Godlike if it has all positive properties
Gödel's_ontological_proof
Sieve theory
The Jurkat–Richert theorem is a mathematical theorem in sieve theory. It is a key ingredient in proofs of Chen's theorem on Goldbach's conjecture. It
Jurkat–Richert_theorem
Proof that only uses basic techniques
once thought that certain theorems, like the prime number theorem, could only be proved by invoking "higher" mathematical theorems or techniques. However
Elementary_proof
Graph representing edges of another graph
properties of the underlying graph from vertices into edges, and by Whitney's theorem the same translation can also be done in the other direction. Line graphs
Line_graph
Area of discrete mathematics
originated from Mantel's theorem on the extremal number of a triangle-free graph. Turán's theorem extended Mantel's theorem for any undirected graph that
Graph_theory
Board game
positions in total (Teeko 58 Positions) or small or large right-angle diamond / rhombus shapes. In Advanced Teeko, players may choose an additional variation
Teeko
Pair of logical equivalences
logic and Boolean algebra, De Morgan's laws, also known as De Morgan's theorem, are a pair of transformation rules that are both valid rules of inference
De_Morgan's_laws
Method of deriving conclusions
inferential steps and often use various rules of inference to establish the theorem they intend to demonstrate. Rules of inference are definitory rules—rules
Rule_of_inference
Mathematical logician and philosopher
theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of Gödel's incompleteness theorems two
Kurt_Gödel
Mathematical manifold theory
In his 1931 thesis, he proved a result now called de Rham's theorem. By Stokes' theorem, integration of differential forms along singular chains induces
Hodge_theory
Two-dimensional Turing machine with emergent behavior
this result was incorrectly attributed and is known as the Cohen-Kong theorem. In 2000, Gajardo et al. showed a construction that calculates any boolean
Langton's_ant
Set of pairwise sums of elements of two sets
can be phrased in terms of sumsets. For example, Lagrange's four-square theorem can be written succinctly in the form 4 ◻ = N , {\displaystyle 4\,\Box
Sumset
In mathematics, the Barban–Davenport–Halberstam theorem is a statement about the distribution of prime numbers in an arithmetic progression. It is known
Barban–Davenport–Halberstam theorem
Barban–Davenport–Halberstam_theorem
Mathematical problem in number theory
whom it is named. Its affirmative answer, known as the Hilbert–Waring theorem, was provided by Hilbert in 1909. Waring's problem has its own Mathematics
Waring's_problem
Surface in algebraic geometry
Zariski (1958) proved that Castelnuovo's theorem also holds over fields of positive characteristic. Castelnuovo's theorem also implies that any unirational complex
Rational_surface
Polish American mathematician (1907–1980)
Together with Kennan T. Smith, Aronszajn offered proof of the Aronszajn–Smith theorem. Also, the existence of Aronszajn trees was proven by Aronszajn; Aronszajn
Nachman_Aronszajn
Standard system of axiomatic set theory
proved within the theory itself, as shown by Gödel's second incompleteness theorem. The modern study of set theory was initiated by Georg Cantor and Richard
Zermelo–Fraenkel_set_theory
American mathematician
proved the modularity theorem, also known as the Taniyama-Shimura Conjecture. He proved this in 1999 with Christophe Breuil, Fred Diamond and Richard Taylor
Brian_Conrad
In additive number theory, a way to measure how dense a sequence of numbers is
this theorem for lower asymptotic density was obtained by Kneser. At a later date, E. Artin and P. Scherk simplified the proof of Mann's theorem. Let
Schnirelmann_density
Riemann zeta function analogue replacing ordinary primes with Beurling generalized primes
Beurling generalized primes. Beurling generalized the usual prime number theorem to Beurling generalized primes. He showed that if the number N(x) of Beurling
Beurling_zeta_function
History Faculty at the University of Oxford 25 October 2012 Fermat's Last Theorem Marcus du Sautoy, Professor of Mathematics & Simonyi Professor for the
List of In Our Time programmes
List_of_In_Our_Time_programmes
Mathematical theorem
The Koukoulopoulos–Maynard theorem, historically known as the Duffin–Schaeffer conjecture, is a theorem in mathematics, specifically Diophantine approximation
Duffin–Schaeffer_theorem
Prime differing from another prime by two
reciprocals of the twin primes was convergent. This famous result, called Brun's theorem, was the first use of the Brun sieve and helped initiate the development
Twin_prime
Point defect in diamonds
center or NV center) is one of numerous photoluminescent point defects in diamond. It consists of a nearest-neighbor pair of a nitrogen atom, which substitutes
Nitrogen-vacancy_center
Paper-and-pencil game for two players
successful landing and must be careful not to block themself. Hales–Jewett theorem m,n,k-game Number Scrabble Garcia, Dan. "GamesCrafters: Tic-Tac-Toe". gamescrafters
Tic-tac-toe
Infinitely detailed mathematical structure
growth Mathematics portal Systems science portal Banach fixed point theorem – Theorem about metric spacesPages displaying short descriptions of redirect
Fractal
as of September 2022[update]. The conjecture terminology may persist: theorems often enough may still be referred to as conjectures, using the anachronistic
List_of_conjectures
Topics referred to by the same term
Pokémon Diamond and Pearl, a video game Seasons of the Pokémon anime based on the video game: Pokémon the Series: Diamond and Pearl Pokémon: Diamond and Pearl:
DP
American economist (1930–2014)
basis of figures for United States families in 1981, is the "rotten kid theorem". He applied the economics of an altruist to a family, wherein a person
Gary_Becker
English computer scientist (1912–1954)
large part responsible not only for the concept of computers, incisive theorems about their powers, and a clear vision of the possibility of computer minds
Alan_Turing
Dog said to have been owned by Sir Isaac Newton
Diamond was, according to legend, Sir Isaac Newton's favourite dog, who, by upsetting a candle, set fire to manuscripts containing his notes on experiments
Diamond_(dog)
Mathematical group
Dihedral group Dn Quaternion group Q Cauchy's theorem Lagrange's theorem Sylow theorems Hall's theorem p-group Elementary abelian group Frobenius group
Rubik's_Cube_group
British record producer and keyboardist (born 1986)
artists he has collaborated with, including S10. In 2023, Fish engineered "Theorem" by Puscifer from their album Existential Reckoning: Re-Wired. The same
Jordan_Fish
American voice actor (born 1962)
Episode: "Gone With the Wand" Transformers: Robots in Disguise Axiom and Theorem Episode: "Brainpower" New Looney Tunes Hubie and Bertie Episode: "Appropriate
Jeff_Bennett
Israeli-American psychologist and economist (1934–2024)
attrition Theorems Arrow's impossibility theorem Aumann's agreement theorem Brouwer fixed-point theorem Competitive altruism Folk theorem Gibbard–Satterthwaite
Daniel_Kahneman
American mathematician and computer scientist (1903–1995)
("decision problem"), the Frege–Church ontology, and the Church–Rosser theorem. Alongside his doctoral student Alan Turing, Church is considered one of
Alonzo_Church
Peter Lax, 99, Hungarian-born American mathematician (Lax equivalence theorem, Lax–Friedrichs method), Abel Prize laureate (2005), cardiac amyloidosis
Deaths_in_May_2025
Range to estimate an unknown parameter
Two widely applicable methods are bootstrapping and the central limit theorem. The latter method works only if the sample is large, since it entails
Confidence_interval
Theorem in algebraic geometry
{\displaystyle h^{2,1}} in the Hodge diamond. Of course, the last statement depends on the Bogomolev–Tian–Todorov theorem which states every deformation on
Serre_duality
Andreas Rosenschon, Morihiko Saito, 2001) Modularity theorem (Christophe Breuil, Brian Conrad, Fred Diamond, and Richard Taylor, 2001) Erdős–Stewart conjecture
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Theorem in analytic number theory
method there are only a few attempts to formulate a general Brun theorem (such as Theorem 2.1); as a result there are surprisingly many papers which repeat
Fundamental lemma of sieve theory
Fundamental_lemma_of_sieve_theory
German philosopher, logician, and mathematician (1848–1925)
Aristotle's logic is unable to represent mathematical statements like Euclid's theorem, a fundamental statement of number theory that there are an infinite number
Gottlob_Frege
Condition in monotone comparative statics
indirect utility function. An important result extends the median voter theorem, which states that when voters have single peaked preferences, there is
Single-crossing_condition
Roche 75 US Actor The Late Show Foul Play 31 Laura Betti 77 Italy Actress Theorem 1900 31 Virginia Grey 87 US Actress All That Heaven Allows The Big Store
2004_in_film
Pizza with thin, crunchy crust and square slices
pizzerias in 2024 whose sales of the two styles of pizza were evenly split. Diamond, Jason (July 22, 2019). "Chicago's Real Signature Pizza Is Crispy, Crunchy
Tavern-style_pizza
(PhD, economics) Massachusetts Institute of Technology Diamond–Mirrlees efficiency theorem, Diamond coconut model Dale T. Mortensen (1939–2014) Carnegie
List of Nobel Memorial Prize laureates in Economic Sciences
List_of_Nobel_Memorial_Prize_laureates_in_Economic_Sciences
Rational-number approximation of a real number
lower bounds of the accuracy. A lower bound is typically described by a theorem like "for every element α of some subset of the real numbers and every
Diophantine_approximation
to S of the universal rank 2 bundle on G. We have the: Tangent bundle Theorem (Fano, Clemens-Griffiths, Tyurin): The tangent bundle of S is isomorphic
Fano_surface
American domestic terrorist (1942–2023)
Wedderburn's Theorem". American Mathematical Monthly. 71 (6): 652–653. doi:10.2307/2312328. JSTOR 2312328. A proof of Wedderburn's little theorem in abstract
Ted_Kaczynski
Theory of equilibrium between supply and demand
rely on fixed-point theorems such as Brouwer fixed-point theorem for functions (or, more generally, the Kakutani fixed-point theorem for set-valued functions)
General_equilibrium_theory
CLIPS Expect LaTeXML Lemon (parser generator) MPICH MUMPS Netlib Otter (theorem prover) PForth SLIME SQLite Steel Bank Common Lisp Citadel (software) Climm
List of public domain projects
List_of_public_domain_projects
Theory of hyperbolic spacetimes
theory of causal structure on Lorentzian manifolds, Geroch's theorem or Geroch's splitting theorem (first proved by Robert Geroch) gives a topological characterization
Geroch's_splitting_theorem
Hungarian-American economist and philosopher (1920–2000)
A. (May 1, 1998). "An informationally parsimonious impartial observer theorem". Social Choice and Welfare. 15 (3): 321–332. doi:10.1007/s003550050108
John_Harsanyi
Relationship between programs and proofs
the type of values returned by a function) is analogous to a logical theorem, subject to hypotheses corresponding to the types of the argument values
Curry–Howard_correspondence
Measure of prices in different countries
tariffs and differences in the price of labour (see Balassa–Samuelson theorem) can contribute to longer-term differences between the two rates. One use
Purchasing_power_parity
American actor (born 1970)
Max DeCosta. He also appeared in the science fiction movie The Zero Theorem in 2013, directed by Terry Gilliam. That same year, Damon appeared in a
Matt_Damon
American economist (born 1948)
inventions of new auction formats". He is the co-creator of the no-trade theorem with Nancy Stokey. He is the co-founder of several companies, the most
Paul_Milgrom
Solid material with highly ordered microscopic structure
(kruos), "icy cold, frost". Examples of large crystals include snowflakes, diamonds, and table salt. Most inorganic solids are not crystals but polycrystals
Crystal
Japanese voice actor (born 1985)
Jared Eamons Lucas Hedges Manchester by the Sea Patrick Chandler The Zero Theorem Bob American Gods Technical Boy Bruce Langley Body Cam Danny Holledge Nat
Kengo_Kawanishi
British science fiction writer (1917–2008)
before he died, he had reviewed the manuscript of his final work, The Last Theorem, on which he had collaborated by e-mail with contemporary Frederik Pohl
Arthur_C._Clarke
Malgrange, 95, French mathematician (Malgrange–Ehrenpreis theorem, Malgrange preparation theorem), member of the French Academy of Sciences. Jack Masters
Deaths_in_January_2024
Chemistry Jeffrey Mandula (1962), physicist known for the Coleman–Mandula theorem Allen Neuringer (1962), psychologist, prominent in the field of the experimental
List of Columbia College people
List_of_Columbia_College_people
UK educational YouTube channel (2011-)
advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis and Kruskal's tree theorem. The videos are produced by Brady Haran, a former
Numberphile
Analytic function in mathematics
identity uses only the formula for the geometric series and the fundamental theorem of arithmetic. Since the harmonic series, obtained when s = 1, diverges
Riemann_zeta_function
bases, the Composition-Diamond Lemma, the Shirshov–Witt Theorem, the Lazard–Shirshov elimination process, Shirshov's Height Theorem, Lyndon–Shirshov words
Anatoly_Shirshov
problems Leaper that makes moves 5 units in length. Due to the Pythagorean theorem, it has twelve possible directions. Also named Root-25-Leaper. Flamingo
List_of_fairy_chess_pieces
Mathematical function, inverse of an exponential function
Scientific, ISBN 978-981-256-080-3, OCLC 492669517, theorem 4.1 P. T. Bateman & Diamond 2004, Theorem 8.15 Slomson, Alan B. (1991), An introduction to combinatorics
Logarithm
whether computers could calculate such possibilities; Gödel's incompleteness theorems; in 1974 the Arecibo Ionospheric Observatory found the Hulse–Taylor binary
List_of_Equinox_episodes
Type of formal logic
formal systems that include unary operators such as ◊ {\displaystyle \Diamond } and ◻ {\displaystyle \Box } , representing possibility and necessity
Modal_logic
Government system where political power lies with the people
in preferences between elites and voters. According to the median voter theorem the political representativeness can be evaluated by comparing how close
Democracy
Square of numbers with equal row, column and diagonal totals
constitute a subset of doubly stochastic matrix. The Birkhoff–von Neumann theorem states that for any doubly stochastic matrix A {\displaystyle A} , there
Magic_square
DIAMOND THEOREM
DIAMOND THEOREM
Boy/Male
English
Bridge protector.
Surname or Lastname
Jewish (Ashkenazic)
Jewish (Ashkenazic) : Americanized form of a Jewish surname, spelled in various ways, derived from modern German Diamant, Demant ‘diamond’, or Yiddish dime(n)t, going back to Middle High German dÄ«emant (via Latin from Greek adamas ‘unconquerable’, genitive adamantos, a reference to the hardness of the stone). The name is mostly ornamental, one of the many Ashkenazic surnames based on mineral names, though in some cases it may have been adopted by a jeweler.English : variant of Dayman (see Day). Forms with the excrescent d are not found before the 17th century; they are at least in part the result of folk etymology.Irish : Anglicized form of Gaelic Ó Diamáin ‘descendant of Diamán’, earlier DÃomá or Déamán, a diminutive of DÃoma, itself a pet form of Diarmaid (see McDermott).
Female
English
Feminine variant spelling of English unisex Diamond, DIAMANDA means "diamond."
Girl/Female
English American
Of high value; brilliant. The precious diamond stone.
Surname or Lastname
English and Irish
English and Irish : variant of Diamond.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Tamil, Telugu
Diamond; Lord Genius; Lord of the Diamonds
Surname or Lastname
English and Irish
English and Irish : variant of Diamond 2 and 3.
Female
Hebrew
(דִּימï‹× ָה) Hebrew name DIMONA means "south."
Girl/Female
American, Australian, British, English, Portuguese
Bright Guardian; Of High Value; Of the Tiber
Boy/Male
American, British, English
Bright Guardian; Bridge Protector
Male
English
English unisex name derived from the vocabulary word, DIAMOND means "diamond" for girls and "bright protector" for boys. This is the birthstone for the month of April.
Girl/Female
English
Of high value; brilliant. The precious diamond stone.
Male
English
Anglicized form of Irish Gaelic Deas-Mhumhan, DESMOND means "man from south Munster."Â
Male
French
Old French form of Frankish German Raginmund, RAIMOND means "wise protector."
Girl/Female
American, Australian, British, English
Of High Value; Diamond
Boy/Male
Hindu, Indian, Japanese, Sanskrit
Precious Diamond; Diamond
Boy/Male
English
Jewel name; bridge protector.
Boy/Male
Greek
Gentle. To tame. A. In Greek legend Damon was a loyal friend of Pythias. Famous bearer in modern...
Boy/Male
American, Anglo, Australian, British, English, Portuguese
Bright Guardian; Of the Tiber; River
Boy/Male
Irish
Meaning “â€one from Desmond,â€â€ Desmond being an area of South Munster, one of the four provinces of Ireland. Popular diminutives are Des and Dessie.
DIAMOND THEOREM
DIAMOND THEOREM
Boy/Male
Tamil
Prabakaran | பà¯à®°à®ªà®•ரண
Surname or Lastname
English
English : habitational name from a lost place in Sussex named Dudehay ‘Dudda’s enclosure (Old English hæg).Irish : reduced Anglicized form of Gaelic Ó Dubhda (see Dowd).
Boy/Male
Welsh
Coward.
Male
Swiss
, goodness of the Lord.
Male
Slovene
Slovene form of Greek Sebastianos, SEBASTIJAN means "from Sebaste."
Boy/Male
Arabic, Muslim
True; Right
Girl/Female
Hindu, Indian
One with Beautiful Eyes
Girl/Female
Australian, Danish, Swedish
Thin
Girl/Female
Hindu, Indian, Malayalam, Marathi
Princess of World; Goddess of Ujjaini
Boy/Male
Australian, Scottish
Son of Laren
DIAMOND THEOREM
DIAMOND THEOREM
DIAMOND THEOREM
DIAMOND THEOREM
DIAMOND THEOREM
a.
Adorned with diamonds; diamondized.
n.
The Tasmanian forty-spotted diamond bird (Pardalotus quadragintus).
n.
A precious stone or gem excelling in brilliancy and beautiful play of prismatic colors, and remarkable for extreme hardness.
n.
A pointed projection, like a four-sided pyramid, used for ornament in lines or groups.
a.
Like the diamond in hardness or luster.
n.
One of a suit of playing cards, stamped with the figure of a diamond.
n.
A diamond. See Rose diamond, below.
a.
Shaped like a diamond or rhombus.
n.
A glazier's diamond.
n.
A geometrical figure, consisting of four equal straight lines, and having two of the interior angles acute and two obtuse; a rhombus; a lozenge.
a.
Resembling a diamond; made of, or abounding in, diamonds; as, a diamond chain; a diamond field.
n.
A rough diamond.
n.
The smallest kind of type in English printing, except that called brilliant, which is seldom seen.
n.
A glazier's diamond.
n.
A size of type, between agate and diamond.
n.
Brilliancy; luster; as, the sparkle of a diamond.
a.
Yielding diamonds.
n.
The infield; the square space, 90 feet on a side, having the bases at its angles.
a.
Having figures like a diamond or lozenge.
n.
The diamond; -- opposed to outfield. See Diamond, n., 5.