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Topics referred to by the same term
Look up Basis or basis in Wiktionary, the free dictionary. A basis in mathematics, finance, science, and other contexts is a foundational concept or valuation
Basis
Set of vectors used to define coordinates
In mathematics, a set B of elements of a vector space V is called a basis (pl.: bases) if every element of V can be written in a unique way as a finite
Basis_(linear_algebra)
Time when financial transactions are reported
basis of accounting is a method used to define, recognise, and report financial transactions. The two primary bases of accounting are the cash basis of
Basis_of_accounting
Type of interest rate swap
A basis swap is an interest rate swap which involves the exchange of two floating rate financial instruments. A basis swap functions as a floating-floating
Basis_swap
2018 film by Mimi Leder
On the Basis of Sex is a 2018 American biographical legal drama film based on the life and early cases of Ruth Bader Ginsburg, who was the second woman
On_the_Basis_of_Sex
American actor (born 1976)
Austin Lee Basis (born September 14, 1976) is an American actor. Basis was born in Brooklyn, New York, where he attended Mark Twain Intermediate School
Austin_Basis
One hundredth of one percentage point
A basis point (often abbreviated as bp, often pronounced as "bip" or "beep") is one hundredth of 1 percentage point. Changes of interest rates are often
Basis_point
Coordinate change in linear algebra
In mathematics, an ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate
Change_of_basis
Topics referred to by the same term
polynomial function of these basis elements Orthonormal basis of a Hilbert space Hilbert basis (linear programming) Hilbert's basis theorem This disambiguation
Hilbert_basis
Vectors whose components are all 0 except one that is 1
In mathematics, the standard basis (also called natural basis or canonical basis) of a coordinate vector space (such as R n {\displaystyle \mathbb {R}
Standard_basis
content.Basis database or OpenText Collections Server is an Extended Relational Database Management System (RDBMS) produced by OpenText. BASIS was originally
Basis_database
Carryover basis occurs when a property transfer also results in a transfer of the transferor's basis in the property. The transferor's basis in the property
Carryover_basis
and mathematical physics, a coordinate basis or holonomic basis for a differentiable manifold M is a set of basis vector fields {e1, ..., en} defined at
Holonomic_basis
Basis consisting of mutually orthogonal vectors
If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal basis. Any orthogonal basis can be used to define a system
Orthogonal_basis
In mathematics, a Chevalley basis for a simple complex Lie algebra is a basis constructed by Claude Chevalley with the property that all structure constants
Chevalley_basis
Set of functions used to represent the electronic wave function
In theoretical and computational chemistry, a basis set is a set of functions (called basis functions) that is used to represent the electronic wave function
Basis_set_(chemistry)
German WWII naval base near Murmansk
Basis Nord Basis Nord ("Base North") was a secret naval base of Nazi Germany's Kriegsmarine in Zapadnaya Litsa, west of Murmansk provided by the Soviet
Basis_Nord
accounting, adjusted basis is the net cost of an asset after adjusting for various tax-related items. Adjusted Basis or Adjusted Tax Basis refers to the original
Adjusted_basis
Element of a basis for a function space
In mathematics, a basis function is an element of a particular basis for a function space. Every function in the function space can be represented as a
Basis_function
Dry basis (also d.b., dry matter basis, DM) is an expression of a calculation in chemistry, chemical engineering and related subjects, in which the presence
Dry_basis
Basis of a type of algebraic structure
In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate
Canonical_basis
Topic in phonetics
In phonetics, the basis of articulation, also known as articulatory setting, is the default position or standard settings of a speaker's organs of articulation
Basis_of_articulation
1840 German-language essay by Schopenhauer
On the Basis of Morality or On the Basis of Morals (German: Ueber die Grundlage der Moral, 1839) is one of Arthur Schopenhauer's major works in ethics
On_the_Basis_of_Morality
Computational tool
In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear
Schauder_basis
Optimization problem
Basis pursuit is the mathematical optimization problem of the form min x ‖ x ‖ 1 subject to y = A x , {\displaystyle \min _{x}\|x\|_{1}\quad {\text{subject
Basis_pursuit
In quantum mechanics, an unextendible product basis is a set of orthogonal, non-entangled state vectors for a multipartite system, with the property that
Unextendible_product_basis
Specific linear basis (mathematics)
linear algebra, an orthonormal basis for an inner product space V {\displaystyle V} with finite dimension is a basis for V {\displaystyle V} whose vectors
Orthonormal_basis
Linear algebra concept
In linear algebra, given a vector space V {\displaystyle V} with a basis B {\displaystyle B} of vectors indexed by an index set I {\displaystyle I} (the
Dual_basis
In functional analysis, a Markushevich basis (sometimes M-basis) is a biorthogonal system that is both complete and total. Completeness means that the
Markushevich_basis
Provision of US Tax Code regarding estate taxes
beneficiary's basis equals the fair market value of the asset at the time the benefactor dies. This can result in a stepped-up basis or a stepped-down basis. An
Stepped-up_basis
Mathematical construct in computer algebra
computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring
Gröbner_basis
Basis of estimate (BOE) is a tool used in the field of project management by which members of the project team, usually estimators, project managers,
Basis_of_estimate
mathematics, specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming
Normal_basis
The low basis theorem is one of several basis theorems in computability theory, each of which show that, given an infinite subtree of the binary tree
Low_basis_theorem
A design-basis event (DBE) is a postulated event used to establish the acceptable performance requirements of the structures, systems, and components
Design-basis_event
In linear algebra, a standard symplectic basis is a basis e i , f i {\displaystyle {\mathbf {e} }_{i},{\mathbf {f} }_{i}} of a symplectic vector space
Symplectic_basis
Concept in United States criminal law
In United States criminal law, a factual basis is a statement of the facts detailing an individual crime and its particulars, stipulated to by the prosecution
Factual_basis
In the mathematical field of ring theory, a ring R has the invariant basis number (IBN) property if all finitely generated free modules over R have a
Invariant_basis_number
Maximal independent set of the matroid
In mathematics, a basis of a matroid is a maximal independent set of the matroid—that is, an independent set that is not contained in any other independent
Basis_of_a_matroid
Primarily Arizonan charter school operator
are made up of BASIS Charter Schools, BASIS Independent Schools, and BASIS International Schools. The first BASIS Curriculum School, BASIS Tucson, was founded
Basis_Schools
Normal standard of review in U.S. constitutional law
In U.S. constitutional law, rational basis review is the normal standard of review that courts apply when considering constitutional questions, including
Rational_basis_review
Term in finance
In finance, basis point value (BPV) denotes the change in the price of a bond given a basis point change in the yield of the bond. Basis point value tells
Basis_point_value
In additive number theory, an additive basis is a set S {\displaystyle S} of natural numbers with the property that, for some finite number k {\displaystyle
Additive_basis
Topics referred to by the same term
A Darboux basis may refer to: A Darboux basis of a symplectic vector space In differential geometry, a Darboux frame on a surface A Darboux tangent in
Darboux_basis
Basis used to express spherical tensors
their applications, a spherical basis is the basis used to express spherical tensors.[definition needed] The spherical basis closely relates to the description
Spherical_basis
Public charter high school in Maricopa County, Arizona
Basis Scottsdale is a charter school operated by Basis Schools in Scottsdale, Arizona. The school was founded in 2003 by Michael and Olga Block. Charter
Basis_Scottsdale
Part of a personal name
person's surname may be used. In Western culture, the idioms "on a first-name basis" and "being on first-name terms" refer to the familiarity inherent in addressing
Given_name
In US tax law, a property's original cost
Basis (or cost basis), as used in United States tax law, is the original cost of property, adjusted for factors such as depreciation. When a property is
Cost_basis
Risk that a hedge and its underlying asset do not move perfectly together
Basis risk in finance is the risk associated with imperfect hedging due to the variables or characteristics that affect the difference between the futures
Basis_risk
construction, Eurocode: Basis of structural design (informally Eurocode 0; abbreviated EN 1990 or, informally, EC 0) establishes the basis that sets out the
Eurocode: Basis of structural design
Eurocode:_Basis_of_structural_design
In algebra, a p-basis is a generalization of the notion of a separating transcendence basis for a field extension of characteristic p, introduced by Teichmüller
P-basis
In universal algebra, a basis is a structure inside of some (universal) algebras, which are called free algebras. It generates all algebra elements from
Basis_(universal_algebra)
Cycles in a graph that generate all cycles
theory, a branch of mathematics, a cycle basis of an undirected graph is a set of simple cycles that forms a basis of the cycle space of the graph. That
Cycle_basis
Generators of the Clifford algebra for relativistic quantum mechanics
When interpreted as the matrices of the action of a set of orthogonal basis vectors for contravariant vectors in Minkowski space, the column vectors
Gamma_matrices
The Paris Basis is a group of principles guiding the relationships between individual YMCAs. Ninety-nine YMCA leaders of individual YMCAs from Europe
Paris_Basis
Topics referred to by the same term
Basis theorem can refer to: Basis theorem (computability), a type of theorem in computability theory showing that sets from particular classes must have
Basis_theorem
Topics referred to by the same term
Basis of Union may refer to: Basis of Union (Uniting Church in Australia) (1977) Basis of Union (Presbyterian Church of Australia) (1901) This disambiguation
Basis_of_Union
Mathematical form for PDEs
In mathematics, a Janet basis is a normal form for systems of linear homogeneous partial differential equations (PDEs) that removes the inherent arbitrariness
Janet_basis
Identifier for airline fare types
A fare basis code (often just referred to as a fare basis) is an alphabetic or alpha-numeric code used by airlines to identify a fare type and allow airline
Fare_basis_code
In software engineering, basis path testing, or structured testing, is a white box method for designing test cases. The method analyzes the control-flow
Basis_path_testing
basis of an asset is generally its cost basis. Determining such cost may require allocations where multiple assets are acquired together. Tax basis may
Tax_basis
Vector basis functions
Raviart–Thomas basis functions are vector basis functions used in finite element and boundary element methods. They are regularly used as basis functions when
Raviart–Thomas basis functions
Raviart–Thomas_basis_functions
Debate about whether King Arthur was a historical person
Nonetheless, the Sarmatian connection continues to have popular appeal; it is the basis of the 2004 film King Arthur. Riothamus (also spelled Riotimus) was a historical
Historicity_of_King_Arthur
Topics referred to by the same term
Basis set may refer to: Basis (linear algebra) Basis set (chemistry) This disambiguation page lists articles associated with the title Basis set. If an
Basis_set
American text analytics company
BasisTech is a software company specializing in applying artificial intelligence techniques to understanding documents and unstructured data written in
Basis_Technology
American for-profit education management organization
BASIS Educational Group. LLC, styled BASIS.ed, is a for-profit education management organization based in Scottsdale, Arizona. It serves primarily BASIS
Basis_Educational_Group
The Hilbert basis of a convex cone C is a minimal set of integer vectors in C such that every integer vector in C is a conical combination of the vectors
Hilbert basis (linear programming)
Hilbert_basis_(linear_programming)
is conventional to use the helicity basis to simplify calculations (of cross sections, for example). In this basis, the spin is quantized along the axis
Helicity_basis
Polynomial ideals are finitely generated
mathematics, Hilbert's basis theorem asserts that every ideal of a polynomial ring over a field has a finite generating set (a finite basis in Hilbert's terminology)
Hilbert's_basis_theorem
Mathematical optimization problem
In applied mathematics and statistics, basis pursuit denoising (BPDN) refers to a mathematical optimization problem of the form min x ( 1 2 ‖ y − A x
Basis_pursuit_denoising
On rearrangement of bases in matroids
In linear algebra and matroid theory, Rota's basis conjecture is an unproven conjecture concerning rearrangements of bases, named after Gian-Carlo Rota
Rota's_basis_conjecture
1952 scholarly article by Alan Turing
"The Chemical Basis of Morphogenesis" is an article that the English mathematician Alan Turing wrote in 1952. It describes how patterns in nature, such
The Chemical Basis of Morphogenesis
The_Chemical_Basis_of_Morphogenesis
Arbitrage strategy
as a 'basis' where the trader will profit from price discrepancies. Basis trading is also called the 'cash-and-carry trade'. In finance, the basis typically
Basis_trading
Scientific study of life
fundamental themes: the cell as the basic unit of life, genes and heredity as the basis of inheritance, evolution as the driver of biological diversity, energy
Biology
Stalks between cerebrum and brainstem
pretectum. By this definition, the cerebral peduncles are also known as the basis pedunculi, while the large ventral bundle of efferent fibers is referred
Cerebral_peduncle
Musical artist
Bibasis (Δημήτριος Μπιμπάσης), better known by his stage name Dimitris Basis (Δημήτρης Μπάσης), is a Greek singer and musician. He is from the village
Dimitris_Basis
Type of mathematical function
In mathematics a radial basis function (RBF) is a real-valued function φ {\textstyle \varphi } whose value depends only on the distance between the input
Radial_basis_function
In computability theory, there are a number of basis theorems. These theorems show that particular kinds of sets always must have some members that are
Basis_theorem_(computability)
the polynomial ring Z[X] and the powers of a constitute a power integral basis. In a monogenic field K, the field discriminant of K is equal to the discriminant
Monogenic_field
Private school in San Jose, California, United States
BASIS Independent Silicon Valley (BISV) is a private school operated by Spring Education Group in San Jose, California. BISV is a TK-Grade 12 STEM-focused
BASIS Independent Silicon Valley
BASIS_Independent_Silicon_Valley
Israeli footballer
Liron Basis (Hebrew: לירון בסיס) is a former Israeli footballer. In May 2024, Basis was arrested in Moscow. He had been on the international wanted list
Liron_Basis
Concept in linear algebra
particular ordered basis. An easy example may be a position such as (5, 2, 1) in a 3-dimensional Cartesian coordinate system with the basis as the axes of
Coordinate_vector
Treasury basis trading: bond and futures arbitrage strategy
Treasury basis trading is a financial strategy that involves taking offsetting positions in a cash market instrument (typically a U.S. Treasury bond)
Treasury_basis_trade
Basis of polynomials consisting of monomials
In mathematics the monomial basis of a polynomial ring is its basis (as a vector space or free module over the field or ring of coefficients) that consists
Monomial_basis
A system basis chip (SBC) is an integrated circuit that includes various functions of automotive electronic control units (ECU) on a single die. It typically
System_basis_chip
Strong, positive emotional/mental states
This article contains special characters. Without proper rendering support, you may see question marks, boxes, or other symbols. Love encompasses a range
Love
Error in quantum-chemistry calculations due to overlapping basis sets
In quantum chemistry, calculations using finite basis sets are susceptible to basis set superposition error (BSSE). As the atoms of interacting molecules
Basis_set_superposition_error
called a Riesz basis if s p a n ( x n ) ¯ = H . {\displaystyle {\overline {\mathop {\rm {span}} (x_{n})}}=H.} Equivalently, a Riesz basis for H {\displaystyle
Riesz_sequence
Method in approximation theory
Radial basis function (RBF) interpolation is an advanced method in approximation theory for constructing high-order accurate interpolants of unstructured
Radial basis function interpolation
Radial_basis_function_interpolation
Sovereign state
constituent countries (landen in Dutch; sing. land) and participate on a basis of equality as partners in the Kingdom. All four are autonomous with their
Kingdom_of_the_Netherlands
American actor (born 1986)
following year, Hammer portrayed Martin D. Ginsburg in the biopic On the Basis of Sex (2018). On Broadway, he starred in a production of Straight White
Armie_Hammer
Method based on cash receipt and payment
The cash method of accounting, also known as cash-basis accounting, cash receipts and disbursements method of accounting or cash accounting (the EU VAT
Cash_method_of_accounting
Pseudoscientific divination based on the movements of the stars
Ptolemy lived in Alexandria. Ptolemy's work the Tetrabiblos formed the basis of Western astrology, and, "...enjoyed almost the authority of a Bible among
Astrology
having particular shapes. Recent research has begun to explore the neural basis of these experiences, drawing both on neuroscientific principles and on
Neural_basis_of_synesthesia
Biological processes that underlie human's perception of self-understanding
The neural basis of self is the idea of using modern concepts of neuroscience to describe and understand the biological processes that underlie humans'
Neural_basis_of_self
Quantum states less perturbed by decoherence than others
or pointer display. Einselection Mott problem Zurek, W. (1981). "Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?"
Pointer_state
application to integer programming is described by Shmuel Onn. The Graver basis of an m × n integer matrix A {\displaystyle A} is the finite set G ( A )
Graver_basis
Theorem in functional analysis
{\displaystyle n} -dimensional normed vector space. Then there exists a basis { e 1 , … , e n } {\displaystyle \{e_{1},\dots ,e_{n}\}} of V {\displaystyle
Auerbach's_lemma
Collection of subsets that generate a topology
and all finite intersections of elements of B {\displaystyle B} forms a basis for τ . {\displaystyle \tau .} This means that every proper open set in
Subbase
Hypertension occurring during pregnancy
hdl:10665/43131. ISBN 978-92-4-156290-4. Robbins and Cotran, Pathological Basis of Disease, 7th ed.[date missing][ISBN missing][page needed] Keyes LE, Armaza
Pre-eclampsia
BASIS
BASIS
Boy/Male
Biblical
Basis; foundation; the Lord.
Surname or Lastname
English
English : habitational name from any of the places, for example in Cheshire, County Durham, Hertfordshire, Norfolk, Shropshire, Warwickshire, Wiltshire, Worcestershire, and North and West Yorkshire, so called from Old English stocc ‘tree trunk’ or stoc ‘dependent settlement’ + tūn ‘enclosure’, ‘settlement’. It is not possible to distinguish between the two first elements on the basis of early forms.A family of this name were established in America by an English Quaker, Richard Stockton, in 1656. He bought large tracts of land around Princeton, NJ, and founded an estate on which his great-grandson, Richard Stockton (1730–81), a leading colonial lawyer and one of the signers of the Declaration of Independence, was born.
Biblical
basis; foundation; the Lord
Boy/Male
Tamil
Basistha | பஸிஸà¯à®¤à®¾Â
A sage
Basistha | பஸிஸà¯à®¤à®¾Â
Surname or Lastname
English
English : from the usual medieval vernacular form of the female personal name Helen (Greek Helenē). This was the name of the mother of Constantine the Great, a devout Christian who was credited with finding the True Cross. It was a popular name in Britain, due to the legend (which has no historical basis) that she was born in Britain.English : variant of Hillian.Dutch : from a short form of any of several Germanic personal names beginning with the element Ellen-, as, for example, Ellenborg.
Surname or Lastname
English
English : variant of Bunting.German : from Middle High German bund, the noun from binden ‘to bind’, ‘to tie’; in what sense it became the basis for a name is unclear.
Girl/Female
Indian
Goddess; Can do her Job on Timely Basis
Boy/Male
Hindu, Indian, Kannada, Telugu
A Sage
BASIS
BASIS
Female
English
English pet form of Latin Euphemia, EPPIE means "Well I speak."
Boy/Male
English
From the clay brook.
Boy/Male
Celtic American Latin
Eager; ardent.
Boy/Male
Tamil
Jaya Kumar | ஜயகà¯à®®à®¾à®°
Surname or Lastname
English
English : variant spelling of Burt.German : habitational name for someone from any of several places in the Rhineland named Birth or Birten.
Boy/Male
Hindu
Lord Krishna, Universe
Boy/Male
Hindu
Blessing, Prayer
Boy/Male
Indian, Sanskrit
The Eye of a Peacock's Tail
Boy/Male
Hindu
A musical Raag, Ansh of Lakshmi
Boy/Male
Indian
Guide
BASIS
BASIS
BASIS
BASIS
BASIS
n.
That which forms the basis of anything; underlying principle; a concept or mental entity conceived or treated as an existing being or thing.
n.
Any material structure or edifice built on something else; that which is raised on a foundation or basis
n.
Hence: The ground which any one takes in an argument or controversy; the point of view from which any one proceeds to a discussion; also, a principle laid down as the basis of reasoning; a proposition; a thesis; as, to define one's position; to appear in a false position.
n.
A nitrogenous substance, or mixture of substances, containing sulphur in a loose state of combination, and forming the chemical basis of epidermal tissues, such as horn, hair, feathers, and the like. It is an insoluble substance, and, unlike elastin, is not dissolved even by gastric or pancreatic juice. By decomposition with sulphuric acid it yields leucin and tyrosin, as does albumin. Called also epidermose.
n.
A proposition antecedently supposed or proved; something previously stated or assumed as the basis of further argument; a condition; a supposition.
v. t.
To put together; to contribute to a common fund, on the basis of a mutual division of profits or losses; to make a common interest of; as, the companies pooled their traffic.
n.
A basis for a numeral system; as, the decimal scale; the binary scale, etc.
n.
A preliminary document upon the basis of which negotiations are carried on.
a.
Alt. of Basisphenoidal
n.
A body now known as alkali albumin, but originally considered to be the basis of all albuminous substances, whence its name.
v. t.
To be at the basis of; to form the foundation of; to support; as, a doctrine underlying a theory.
n.
That form of homology due to common ancestry (phylogenetic homology), in opposition to homomorphy, to which genealogic basis is wanting.
n.
The chemical basis of sponge tissue, a nitrogenous, hornlike substance which on decomposition with sulphuric acid yields leucin and glycocoll.
n.
The basisphenoid bone.
n.
The basis or foundation of a thing; especially, a horizontal piece, as a timber, which forms the lower member of a frame, or supports a structure; as, the sills of a house, of a bridge, of a loom, and the like.
superl.
Having yellow or red for a basis, or in their composition; -- said of colors, and opposed to cold which is of blue and its compounds.
n.
A fixed point or station; a basis or fundamental principle; a position from which objects or principles are viewed, and according to which they are compared and judged.
conj.
Considering that; it being the case that; since; -- used to introduce a preamble which is the basis of declarations, affirmations, commands, requests, or like, that follow.
n.
The viscid and more or less granular material of vegetable and animal cells, possessed of vital properties by which the processes of nutrition, secretion, and growth go forward; the so-called " physical basis of life;" the original cell substance, cytoplasm, cytoblastema, bioplasm sarcode, etc.