AI & ChatGPT searches , social queriess for CLOSED RANGE-THEOREM
Search references for CLOSED RANGE-THEOREM. Phrases containing CLOSED RANGE-THEOREM
See searches and references containing CLOSED RANGE-THEOREM!
Search references for CLOSED RANGE-THEOREM. Phrases containing CLOSED RANGE-THEOREM
See searches and references containing CLOSED RANGE-THEOREM!CLOSED RANGE-THEOREM
Mathematical theorem about Banach spaces
spaces, the closed range theorem gives necessary and sufficient conditions for a closed densely defined operator to have closed range. The theorem was proved
Closed_range_theorem
Condition for a linear operator to be open
functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem (named after Stefan Banach and Juliusz
Open mapping theorem (functional analysis)
Open_mapping_theorem_(functional_analysis)
Theorem relating continuity to graphs
In mathematics, the closed graph theorem may refer to one of several basic results characterizing continuous functions in terms of their graphs. Each gives
Closed_graph_theorem
analysis) Banach–Steinhaus theorem (functional analysis) Choquet–Bishop–de Leeuw theorem (functional analysis) Closed range theorem (functional analysis) Dunford–Schwartz
List_of_theorems
Theorem in calculus relating line and double integrals
In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in R 2
Green's_theorem
Polish mathematician (1892–1945)
Steinhaus said of Banach: "Banach was my greatest scientific discovery." Closed range theorem International Stefan Banach Prize List of Poles List of Polish mathematicians
Stefan_Banach
Theorem in topology
Brouwer's theorem are for continuous functions f {\displaystyle f} from a closed interval I {\displaystyle I} in the real numbers to itself or from a closed disk
Brouwer_fixed-point_theorem
On when a family of real, continuous functions has a uniformly convergent subsequence
closed and bounded interval has a uniformly convergent subsequence. The main condition is the equicontinuity of the family of functions. The theorem is
Arzelà–Ascoli_theorem
Field in mathematics similar to the real numbers
In algebra, most theorems that involve the real numbers remain true when formulated for arbitrary real closed fields. A real closed field is a field F
Real_closed_field
Theorem in mathematics
In calculus and real analysis, the mean value theorem (or Lagrange's mean value theorem) is a theorem about differentiable functions, roughly stating
Mean_value_theorem
Fixed-point theorem for set-valued functions
the closed graph theorem for set-valued functions, which says that for a compact Hausdorff range space Y, a set-valued function φ: X→2Y has a closed graph
Kakutani_fixed-point_theorem
Theorem that any three objects in space can be simultaneously bisected by a plane
mathematical measure theory, for every positive integer n the ham sandwich theorem states that given n measurable "objects" in n-dimensional Euclidean space
Ham_sandwich_theorem
Product of any collection of compact topological spaces is compact
who proved it first in 1930 for powers of the closed unit interval and in 1935 stated the full theorem along with the remark that its proof was the same
Tychonoff's_theorem
Linear operator defined on a dense linear subspace
of the so-called closed range theorem.) In particular, T has closed range if and only if T ∗ {\displaystyle T^{*}} has closed range. In contrast to the
Unbounded_operator
Continuous function on an interval takes on every value between its values at the ends
intermediate value theorem for polynomials over a real closed field. A similar result to the intermediate value theorem is the Borsuk–Ulam theorem, which underpins
Intermediate_value_theorem
Theorem in differential geometry
In differential geometry, the Gauss–Bonnet theorem (or Gauss–Bonnet formula) is a fundamental formula which links the curvature of a surface to its underlying
Gauss–Bonnet_theorem
Partial converse of Taylor's theorem
the Whitney extension theorem is a partial converse to Taylor's theorem. Roughly speaking, the theorem asserts that if A is a closed subset of a Euclidean
Whitney_extension_theorem
Result about when a matrix can be diagonalized
In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented
Spectral_theorem
Aspect of mathematical spectrum theory
A {\displaystyle \operatorname {ran} A} is a closed set. This can be checked via the closed range theorem. Semi-Fredholm, if furthermore, ker A {\displaystyle
Essential_spectrum
Theorem on extension of bounded linear functionals
In functional analysis, the Hahn–Banach theorem is a central result that allows the extension of bounded linear functionals defined on a vector subspace
Hahn–Banach_theorem
Continuous maps on a closed subset of a normal space can be extended
In topology, the Tietze extension theorem (also known as the Tietze–Urysohn–Brouwer extension theorem or Urysohn-Brouwer lemma) states that any real-valued
Tietze_extension_theorem
Relates the geometric vector bundles to algebraic projective modules
geometry, topology and algebraic geometry, the Serre–Swan theorem, also called Swan's theorem, relates the geometric notion of vector bundles to the algebraic
Serre–Swan_theorem
Generalization of finite measure to Banach spaces
measures, Lyapunov's theorem states that the range of a (non-atomic) finite-dimensional vector measure is closed and convex. In fact, the range of a non-atomic
Vector_measure
Statement on the gravitational attraction of spherical bodies
shell theorem gives gravitational simplifications that can be applied to objects inside or outside a spherically symmetric body. This theorem has particular
Shell_theorem
Smallest convex set containing a given set
finite-dimensional Euclidean spaces, is generalized by the Krein–Smulian theorem, according to which the closed convex hull of a weakly compact subset of a Banach space
Convex_hull
Theorem in electrical circuit analysis
stated in terms of direct-current resistive circuits only, Thévenin's theorem states that "Any linear electrical network containing only voltage sources
Thévenin's_theorem
finite-dimensional (where T* denotes the adjoint of T), and the range Ran(T) is closed. Atkinson's theorem states: A T ∈ L(H) is a Fredholm operator if and only
Atkinson's_theorem
Semicontinuity for set-valued functions
is said to be continuous. Theorem—For a set-valued function Γ : A ⇉ B {\displaystyle \Gamma :A\rightrightarrows B} with closed values, if Γ {\displaystyle
Hemicontinuity
Impossibility of straightforward game forms
In the fields of mechanism design and social choice theory, Gibbard's theorem is a result proven by philosopher Allan Gibbard in 1973. It states that
Gibbard's_theorem
A closed operator is a linear operator whose graph is closed. 3. The closed range theorem says that a densely defined closed operator has closed image
Glossary of functional analysis
Glossary_of_functional_analysis
Counting polynomial roots in an interval
reals, Sturm's theorem is less efficient than other methods based on Descartes' rule of signs. However, it works on every real closed field, and, therefore
Sturm's_theorem
Ranges of numbers contained in each other
intersection theorem Königsberger, Konrad (2004). Analysis 1. Springer. p. 11. ISBN 354040371X. Fridy, J. A. (2000), "3.3 The Nested Intervals Theorem", Introductory
Nested_intervals
Subfield of automated reasoning and mathematical logic
Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving
Automated_theorem_proving
Undecidability of equality of real numbers
In mathematics, Richardson's theorem establishes the undecidability of the equality of real numbers defined by expressions involving integers, π, ln 2
Richardson's_theorem
Theorem in physics
Bell's theorem is a term encompassing a number of closely related results in physics, all of which determine that quantum mechanics is incompatible with
Bell's_theorem
In mathematics, F. Riesz's theorem (named after Frigyes Riesz) is a theorem in functional analysis that states that a Hausdorff topological vector space
F._Riesz's_theorem
Theorem that arithmetical truth cannot be defined in arithmetic
Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1933, is an important limitative result in mathematical logic, the foundations
Tarski's undefinability theorem
Tarski's_undefinability_theorem
Theorem on the number of primes in arithmetic sequences
In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there
Dirichlet's theorem on arithmetic progressions
Dirichlet's_theorem_on_arithmetic_progressions
Statement relating differentiable symmetries to conserved quantities
Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law
Noether's_theorem
Power series theorem in mathematics
In mathematics, Abel's theorem for power series relates a limit of a power series to the sum of its coefficients. It is named after Norwegian mathematician
Abel's_theorem
Proof all ranked voting rules have spoilers
Arrow's impossibility theorem is a key result in social choice theory, proved by American economist Kenneth Arrow. It shows that no procedure for group
Arrow's_impossibility_theorem
Branch of mathematics
Königsberg problem and polyhedron formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th
Topology
Property of artificial neural networks
In the field of machine learning, the universal approximation theorems (UATs) state that neural networks with a certain structure can, in principle, approximate
Universal approximation theorem
Universal_approximation_theorem
Family of voting systems
receives. Voters may cast votes for parties, as in Spain, Turkey, and Israel (closed lists); or for candidates whose vote totals are pooled together to determine
Party-list proportional representation
Party-list_proportional_representation
Branch of mathematics studying functions of a complex variable
Looman–Menchoff theorem). Holomorphic functions exhibit some remarkable features. For instance, Picard's theorem asserts that the range of an entire function
Complex_analysis
Operation in mathematical calculus
of brackets is a generalization of Ramanujan's master theorem that can be applied to a wide range of univariate and multivariate integrals. A set of rules
Integral
Certain vector fields are the sum of an irrotational and a solenoidal vector field
In physics and mathematics, the Helmholtz decomposition theorem or the fundamental theorem of vector calculus states that certain differentiable vector
Helmholtz_decomposition
Calculus of vector-valued functions
corresponding theorems which generalize the fundamental theorem of calculus to higher dimensions: In two dimensions, the divergence and curl theorems reduce
Vector_calculus
Set of all things that may be the input of a mathematical function
of specific outputs the function assigns to elements of X is called its range or image. The image of f {\displaystyle f} is a subset of Y, shown as the
Domain_of_a_function
Theorem in magnetohydrodynamics
In ideal magnetohydrodynamics, Alfvén's theorem, or the frozen-in flux theorem, states that electrically conducting fluids and embedded magnetic fields
Alfvén's_theorem
Axiom of set theory
metric spaces, and its consequences, such as the open mapping theorem and the closed graph theorem. On every infinite-dimensional topological vector space there
Axiom_of_choice
Part of Fredholm theories in integral equations
{\displaystyle \operatorname {coker} T=Y/\operatorname {ran} T} , and with closed range ran T {\displaystyle \operatorname {ran} T} . The last condition is
Fredholm_operator
Singularities of holomorphic functions extend infinitely outward
theory of functions of several complex variables, Hartogs's extension theorem is a statement about the singularities of holomorphic functions of several
Hartogs's_extension_theorem
Power series with rational exponents
Puiseux's theorem asserts that the set of Puiseux series over an algebraically closed field of characteristic 0 is itself an algebraically closed field,
Puiseux_series
Every set is smaller than its power set
question marks, boxes, or other symbols. In mathematical set theory, Cantor's theorem is a fundamental result which states that, for any set A {\displaystyle
Cantor's_theorem
Type of vector space in math
graph is closed. By the closed graph theorem, a closed operator defined on all of a Hilbert space is bounded; hence a genuinely unbounded closed operator
Hilbert_space
Branch of mathematics that studies algebraic structures
basis theorem Hopkins–Levitzki theorem Krull's principal ideal theorem Levitzky's theorem Galois theory Abel–Ruffini theorem Wedderburn–Artin theorem Jacobson
List of abstract algebra topics
List_of_abstract_algebra_topics
Method to solve scalar wave equation
The Kirchhoff integral theorem (sometimes referred to as the Fresnel–Kirchhoff integral theorem) is a surface integral to obtain the value of the solution
Kirchhoff_integral_theorem
Form of logic that allows quantification over predicates
compactness theorem. Thus the least-upper-bound property cannot be expressed by any set of sentences in first-order logic. (In fact, every real-closed field
Second-order_logic
Restatement of Newton's law of universal gravitation
In physics, Gauss's law for gravity, also known as Gauss's flux theorem for gravity, is a law of physics that is equivalent to Newton's law of universal
Gauss's_law_for_gravity
Type of curve in geometry
every closed geodesic is obtained by iterating a prime geodesic, and their asymptotic distribution is described by the prime geodesic theorem. Let X
Prime_geodesic
Construct in quantum information theory
separable states is the closed convex hull of pure product states. We will make use of the following variant of Hahn–Banach theorem: Theorem Let S 1 {\displaystyle
Entanglement_witness
Normed vector space that is complete
(all closed balls centered at the origin are barrels, for example) and guarantees that the Banach–Steinhaus theorem holds. The open mapping theorem implies
Banach_space
Mathematical function such that every output has at least one input
real numbers as the domain and the codomain, is not surjective (as its range is the set of positive real numbers). The matrix exponential is not surjective
Surjective_function
Theorem in quantum mechanics
Koopmans' theorem states that in closed-shell Hartree–Fock theory (HF), the first ionization energy of a molecular system is equal to the negative of
Koopmans'_theorem
All numbers between two given numbers
in the epsilon-delta definition of continuity; the intermediate value theorem asserts that the image of an interval by a continuous function is an interval;
Interval_(mathematics)
Operation in differential calculus
established in 1967 by C. E. Aull, who named it quasi-Rolle theorem. If f is continuous on the closed interval [a, b] and symmetrically differentiable on the
Symmetric_derivative
Proof in set theory
technique that has since been used in a wide range of proofs, including the first of Gödel's incompleteness theorems and Turing's answer to the Entscheidungsproblem
Cantor's_diagonal_argument
Group that is a topological space with continuous group operations
∩ cl N is closed, then H is closed. Every discrete subgroup of a Hausdorff commutative topological group is closed. The isomorphism theorems from ordinary
Topological_group
Electoral systems with independent candidate ratings
Gibbard's theorem. Cardinal methods where voters give each candidate a number of points and the points are summed are called additive. Both range voting
Rated_voting
Mathematical function that preserves angles
complex analytic functions. In three and higher dimensions, Liouville's theorem sharply limits the conformal mappings to a few types. The notion of conformality
Conformal_map
Mathematics of real numbers and real functions
analysis, the Bolzano–Weierstrass theorem shows that a subset of Euclidean space is compact if and only if it is closed and bounded. A more general notion
Real_analysis
Function that preserves distinctness
monomorphism differs from that of an injective homomorphism. This is thus a theorem that they are equivalent for algebraic structures; see Homomorphism § Monomorphism
Injective_function
Set of eigenvalues of a matrix
subset. Here, I {\displaystyle I} is the identity operator. By the closed graph theorem, λ {\displaystyle \lambda } is in the spectrum if and only if the
Spectrum (functional analysis)
Spectrum_(functional_analysis)
Subset of a function's codomain
In mathematics, the range of a function may refer either to the codomain of the function, or the image of the function. In some cases the codomain and
Range_of_a_function
Type of logical system
to analysis in proof theory, such as the Löwenheim–Skolem theorem and the compactness theorem. First-order logic is the standard for the formalization
First-order_logic
Geometric line segment whose endpoints lie on a circular arc
Scale of chords Ptolemy's table of chords Holditch's theorem, for a chord rotating in a convex closed curve Circle graph Exsecant and excosecant Versine
Chord_(geometry)
Method of statistical inference
/ˈbeɪʒən/ BAY-zhən) is a method of statistical inference in which Bayes' theorem is used to calculate a probability of a hypothesis, given prior evidence
Bayesian_inference
Complexity class used to classify decision problems
only known strict inclusions come from the time hierarchy theorem and the space hierarchy theorem, and respectively they are N P ⊊ N E X P T I M E {\displaystyle
NP_(complexity)
Voting systems that use ranked ballots
rise to an influential theorem—the median voter theorem—attributed to Duncan Black. This theorem stipulates that within a broad range of spatial models, including
Ranked_voting
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
Form of mathematical proof
1000 AD, who applied it to arithmetic sequences to prove the binomial theorem and properties of Pascal's triangle. Whilst the original work was lost
Mathematical_induction
System of mathematical set theory
quantifiers range over classes. NBG is finitely axiomatizable, while ZFC and MK are not. A key theorem of NBG is the class existence theorem, which states
Von Neumann–Bernays–Gödel set theory
Von_Neumann–Bernays–Gödel_set_theory
Definite integral of a scalar or vector field along a path
theorem, the left-hand integral is zero when f ( z ) {\displaystyle f(z)} is analytic (satisfying the Cauchy–Riemann equations) for any smooth closed
Line_integral
Voting system that makes outcomes proportional to vote totals
Sweden (open list), Israel (national closed list), Brazil (open list), Kazakhstan (closed list), Nepal (closed list) as adopted in 2008 in first CA election
Proportional_representation
Election result affecting losing candidate
and elegantly. ... Range voting solves the problems of spoilers and vote splitting Morreau, Michael (2014-10-13). "Arrow's Theorem". Stanford Encyclopedia
Spoiler_effect
On solvability of Diophantine equations
with Matiyasevich completing the theorem in 1970. The theorem is now known as Matiyasevich's theorem or the MRDP theorem (an initialism for the surnames
Hilbert's_tenth_problem
Concept in several complex variables
approximation theorems in one complex variable, such as Runge's theorem and Mergelyan's theorem, to compact subsets of higher-dimensional complex spaces. Range, R
Polynomial_convexity
Central limit theorem Central limit theorem (illustration) – redirects to Illustration of the central limit theorem Central limit theorem for directional
List_of_statistics_articles
Theorem in classical mechanics
In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by
Newton's theorem of revolving orbits
Newton's_theorem_of_revolving_orbits
Theorem in linear algebra
In matrix theory, the Perron–Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a
Perron–Frobenius_theorem
Proportional electoral system
48, 6.48, 7.48, and 8.49. The 5 highest entries, marked with asterisks, range from 70,711 down to 28,868. For each, the corresponding party gets another
Huntington–Hill_method
Conjecture on zeros of the zeta function
hypothesis is true, then the theorem is true. If the generalized Riemann hypothesis is false, then the theorem is true. Thus, the theorem is true!! Care should
Riemann_hypothesis
Theory of stochastic processes
processes, the Karhunen–Loève theorem (named after Kari Karhunen and Michel Loève), also known as the Kosambi–Karhunen–Loève theorem states that a stochastic
Kosambi–Karhunen–Loève theorem
Kosambi–Karhunen–Loève_theorem
Mathematics theorem in functional analysis
In mathematics, the Gelfand–Naimark theorem states that an arbitrary C*-algebra A is isometrically *-isomorphic to a C*-subalgebra of bounded operators
Gelfand–Naimark_theorem
functions, and sets. Mathematical objects can be very complex; for example, theorems, proofs, and even formal theories are considered as mathematical objects
Mathematical_object
Theorem in arithmetic combinatorics
In arithmetic combinatorics, the Erdős–Szemerédi theorem states that for every finite set A of integers, at least one of the sets A + A and A · A (the
Erdős–Szemerédi_theorem
range of logics and their relationships. The starting point for the study of abstract models, which resulted in good examples was Lindström's theorem
Abstract_model_theory
Class of mathematical sets
( B ) {\displaystyle f^{-1}(B)} is measurable in X {\displaystyle X} . Theorem. Let X {\displaystyle X} be a Polish space, that is, a topological space
Borel_set
Branch of mathematical logic
proof-theoretic semantics, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications
Proof_theory
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
Girl/Female
Anglo Saxon English
Clover.
Surname or Lastname
English
English : of uncertain origin. A certain William de Orenge mentioned in Domesday Book probably derives his name from Orange in Mayenne. Later medieval examples probably come from a female personal , Orenge, of obscure derivation.French : habitational name from a place in Vaucluse.
Boy/Male
Tamil
Mountain range
Female
English
English short form of Latin Angela, ANGE means "angel, messenger." Compare with masculine Ange.
Male
English
Anglicized form of Hebrew Kesed, CHESED means "increase." In the bible, this is the name of the 4th son of Nahor.
Girl/Female
Arabic
Range; Opportunity
Surname or Lastname
English
English : variant of Close 1.German : variant of Kloss.
Girl/Female
Hindu, Indian, Sanskrit
Cloud; Orange Flower
Girl/Female
American, Anglo, Australian, British, Christian, English, Jamaican, Portuguese
Clover; Flower Name; Fortunate; Mind; Heart; Spirit
Surname or Lastname
English and French
English and French : topographic name for someone who lived by a granary, from Middle English, Old French grange (Latin granica ‘granary’, ‘barn’, from granum ‘grain’). In some cases, the surname has arisen from places named with this word, for example in Dorset and West Yorkshire in England, and in Ardèche and Jura in France. The Marquis de Lafayette owned a property named Lagrange, and there used to be a place in VT so named in his honor.
Boy/Male
Indian
Mountain range
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : of uncertain derivation. It may be a habitational name, perhaps from a place called Ganges in southern France. This is recorded in the 12th century as Agange and Aganthicum, perhaps from a derivative of Latin acanthus ‘bear’s-foot’. On the other hand, it may be from the Old Norse personal name Gangi, a cognate of Old English Gegn.German (Gänge) : from Middle High German genge ‘common’, ‘circulating (among the people)’, ‘sprightly’, hence an occupational name for a hawker or peddler; perhaps also a nickname for an energetic person (see Genge 2).German (Gange or Gänge) : from a short form of the personal names Wolfgang or Gangulf, both formed with Old High German gang- ‘gait’, ‘walk’ (+ wolf ‘wolf’).
Boy/Male
Indian, Sanskrit
Cloud; Orange Flower
Surname or Lastname
English
English : occupational name for a gamekeeper or warden, from Middle English ranger, an agent derivative of range(n) ‘to arrange or dispose’.German : variant of Rang 2, 3.German : habitational name for someone from any of the places named Rangen, in Alsace, Bavaria, and Hesse.French : from a Germanic personal name formed with rang, rank ‘curved’, ‘bent’; ‘slender’.A person called Ranger from La Rochelle, France, is documented in Quebec City in 1684 with the secondary surname
Female
English
Old English flower name, CLOVER means simply "clover."
Boy/Male
Hindu, Indian
Mountain Range
Male
French
French name ANGE means "angel, messenger." Compare with feminine Ange.
Boy/Male
Muslim
Mountain range
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu
Close; Clove
Surname or Lastname
English
English : topographic name for someone who lived by an enclosure of some sort, such as a courtyard set back from the main street or a farmyard, from Middle English clos(e) (Old French clos, from Late Latin clausum, past participle of claudere ‘to close’).English : from Middle English clos(e) ‘secret’, applied as a nickname for a reserved or secretive person.Dutch : variant of Claeys.Altered spelling of German Klose.
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
Girl/Female
Australian
Gift of God; River
Boy/Male
Indian
Glorious
Boy/Male
Hindu
Lord Shiva, A name of Lord Rama
Female
Yiddish
(זְלַ×טָ×) Yiddish form of Polish ZÅ‚ota, ZLATA means "golden." Compare with another form of Zlata.
Girl/Female
American, Australian, French, German, Swedish
Resolute Protector; Beautiful; Will-helmet; Will; Desire; Helmet; Protection
Boy/Male
Biblical
A measure for grain, vail.
Boy/Male
Greek American English French
From Sidon.
Female
African
mother has returned.
Girl/Female
Arabic, Muslim
Fruit; Summer Fruit
Girl/Female
Tamil
Swan
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
CLOSED RANGE-THEOREM
n.
The tree that bears oranges; the orange tree.
imp. & p. p.
of Range
v. t.
Shut fast; closed; tight; as, a close box.
imp. & p. p.
of Close
n.
To dispose in a classified or in systematic order; to arrange regularly; as, to range plants and animals in genera and species.
v. i.
To be native to, or live in, a certain district or region; as, the peba ranges from Texas to Paraguay.
v. t.
To make close.
v. t.
Narrow; confined; as, a close alley; close quarters.
v.
Extent or space taken in by anything excursive; compass or extent of excursion; reach; scope; discursive power; as, the range of one's voice, or authority.
a.
Of or pertaining to an orange; of the color of an orange; reddish yellow; as, an orange ribbon.
v. i.
To have a certain direction; to correspond in direction; to be or keep in a corresponding line; to trend or run; -- often followed by with; as, the front of a house ranges with the street; to range along the coast.
n.
One who ranges; a rover; sometimes, one who ranges for plunder; a roving robber.
v.
See Range of cable, below.
n.
To sail or pass in a direction parallel to or near; as, to range the coast.
n.
One who, or that which, closes; specifically, a boot closer. See under Boot.
n.
To rove over or through; as, to range the fields.
v. i.
To have range; to change or differ within limits; to be capable of projecting, or to admit of being projected, especially as to horizontal distance; as, the temperature ranged through seventy degrees Fahrenheit; the gun ranges three miles; the shot ranged four miles.
n.
The color of an orange; reddish yellow.
v.
A series of things in a line; a row; a rank; as, a range of buildings; a range of mountains.
v. i.
To range about in an irregular manner.