refimprove date May 2010 punctuation marks & x2031 caption per ten thousand sign A basispoint often ... point ref name inpe cite web url http www.investopedia.com ask answers 05 basispoint.asp title What is a basispoint BPS ? publisher Investopedia accessdate 21 May 2010 ref ref cite web url http dictionary.reference.com browse basispoint title Basispoint publisher reference.com accessdate ... it originates as a natural extension of the percent and permille signs . A basispoint is defined as 1 basispoint 1 permyriad one one hundredth percent 1 bp 1 unicode 0.01 0.1 10 sup 4 sup frac ... of 10 basis points e.g. a 4.67 rate increases by 10 basis points to 4.77 . Like percentage point s, basis points avoid the ambiguity between relative and absolute discussions about interest rates ..., the report says there has been a 10 basispoint increase from a 10 interest rate, then we ... practice in the financial industry to use basis points to denote a rate change in a financial instrument ... per annum above the London Interbank Offered Rate LIBOR is said to be 50 basis points over LIBOR, which is commonly expressed as L 50bps or simply L 50 . The term basispoint has its origins in trading the basis or the spread between two interest rates. Since the basis is usually small, these are quoted multiplied up by 10000, and hence a full point movement in the basis is a basispoint. Contrast with pip s in FX forward markets. The relationship between percentage changes and basis points can be summarized as follows 1 change 100 basis points, and 0.01 1 basispoint. So, a bond whose yield increases from 5 to 5.5 is said to increase by 50 basis points or interest rates that have risen 1 are said to have increased by 100 basis points. See also Percentage point Percent 1 part in 100 Permille 1 part in 1000 Parts per notation Percentage in point References reflist Category Fixed income market cs Bazick bod es Punto base fr Point de base ko it Punto base he kk hu ... more details
Orphan date March 2009 In finance , basispoint value BPV denotes the change in the price of a Bond finance bond given a basispoint change in the Yield finance yield of the bond.. ref Martellini, Priaulet, Priaulet, Fixed income securities. Wiley Finance, page 169 ref Basic Points Value tells us how much money the positions will gain or lose for a 0,01 parallel movement in the yield curve . It is specified for interest rate risk and quantifies the interest rate risk for small changes in interest rates. seealso Yield elasticity of bond value Notes reflist Category Bonds ... more details
Wiktionary basisBasis may refer to Basis crystal structure , positions of the atoms inside the unit cell BASIS International , a software company in Renaissance music, the bassline was sometimes called the basisBASIS Schools , a group of high expectations schools in Arizona, USA. In economics Adjusted basis , the net cost of an asset after adjusting for various tax related items Basis of futures , the value differential between a future and the spot price Basis options , the value differential between a call option and a put option Basispoint , 0.01 , often used in the context of interest rates Basis trading , a trading strategy consisting of the purchase of a security and the sale of a similar security Cost basis , in income tax law, the original cost of property adjusted for factors such as depreciation Tax basis , cost of an asset In mathematics Basis function Basis linear algebra Dual basis Orthonormal basis Schauder basisBasis universal algebra Transcendence basis of a field extension Generating set of an ideal ring theory Gr bner basis Hilbert s basis theorem Generating set of a group base topology of a topology a generating set of the open sets of the topology Greedoid Change of basis Normal basis Polynomial basis Radial basis function Standard basis In chemistry Basis set chemistry Dry basis , a expression of a calculation in which the presence of water is ignored In people Dimitris Basis , Greek singer Liron Basis , Israeli footballer See also Basic disambiguation Base disambiguation disambiguation de Basis nl Basis ru uk ... more details
In mathematics , particularly linear algebra , an orthogonal basis for an inner product space math V is a basis linear algebra basis for math V whose vectors are mutually orthogonal . If the vectors of an orthogonal basis are normalize linear algebra normalized , the resulting basis is an orthonormal basis . In functional analysis , an orthogonal basis is any basis obtained from a orthonormal basis or Hilbert basis using multiplication by nonzero Scalar mathematics scalars . Any orthogonal basis can be used to define a system of orthogonal coordinates . A linear combination of orthogonal basis can be used to reach any point in the vector space. See also Basis linear algebra Orthonormal basis References MathWorld title Orthogonal Basis urlname OrthogonalBasis reflist Category Linear algebra Linear algebra stub mathanalysis stub de Orthogonalbasis pt Base ortogonal uk ... more details
In mathematics , particularly linear algebra , an orthonormal basis for inner product space V with finite dimension linear algebra dimension is a Basis linear algebra basis for V whose vectors are orthonormal ... For example, the standard basis for a Euclidean space R sup n sup is an orthonormal basis, where the relevant ... basis under a rotation mathematics rotation or reflection mathematics reflection or any orthogonal transformation is also orthonormal, and every orthonormal basis for R sup n sup arises in this fashion. For a general inner product space V , an orthonormal basis can be used to define normalized orthogonal .... Thus the presence of an orthonormal basis reduces the study of a Dimension vector space finite dimensional ... inner product space has an orthonormal basis, which may be obtained from an arbitrary basis using the Gram Schmidt process . In functional analysis , the concept of an orthonormal basis can be generalized ... 1987 isbn 0 07 054234 1 ref Given a pre Hilbert space H , an orthonormal basis for H is an orthonormal ... combination of the vectors in the basis. In this case, the orthonormal basis is sometimes called a Hilbert basis for H . Note that an orthonormal basis in this sense is not generally a Hamel basis , since infinite linear combinations are required. Specifically, the linear span of the basis must be Dense ..., 0, 1 the standard basis forms an orthonormal basis of R sup 3 sup . Proof A straightforward ... as a sum of the basis vectors scaled math x,y,z xe 1 ye 2 ze 3, , math so e sub 1 sub , e sub 2 sub , e sub 3 sub spans R sup 3 sup and hence must be a basis. It may also be shown that the standard basis rotated about an axis through the origin or reflected in a plane through the origin forms an orthonormal basis of R sup 3 sup . The set f sub n sub n Z with f sub n sub x exponential function exp 2 inx forms an orthonormal basis of the complex space L sup 2 sup 0,1 . This is fundamental to the study ... c and 0 otherwise forms an orthonormal basis of sup 2 sup B . Eigenfunctions of a Sturm Liouville ... more details
Basis of Union may refer to Basis of Union Uniting Church in Australia 1977 Basis of Union Presbyterian Church of Australia 1901 Disambig ... more details
Hilbert basis may refer to in Invariant theory a finite set of invariant polynomials, such that every invariant polynomial may be written as a polynomial function of these basis elements Orthonormal basis of a Hilbert space Orthonormal bases Hilbert space Hilbert basis linear programming Hilbert s basis theorem mathdab Long comment to avoid being listed on short pages ... more details
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 space, and more generally in a free module, it refers to the standard basis defined by the Kronecker delta In a polynomial ring, it refers to its standard basis given by the monomial s, math X i i math . For finite extension fields, it means the polynomial basis . In representation theory, Lusztig s canonical basis and closely related Kashiwara s crystal basis in quantum groups and their representations See also Canonical form Normal form mathematics Normal form disambiguation Polynomial basis Normal basis Change of bases mathdab Category Linear algebra Category Abstract algebra fr Base canonique pl Baza kanoniczna pt Base can nica ... more details
ref . Their connection to the theory of Gr bner basis Gr bner bases is discussed in ref name Stu Bernd ... definition The Graver basis of an m × n integer matrix math A math is the finite ... 0 math and math x i leq y i math for all i. For example, the Graver basis of math A 1 2 1 math consists ... computationally as noted below. However, given the Graver basis math G A math of math A math , the problem .... However, given the Graver basis math G A math of math A math it can be solved in polynomial time ... Programming 126 97 117, 2011 ref . Assume first that some initial feasible point x is given. While ... x qg and proceed to the next iteration. The last point x is optimal and the number of iterations is polynomial. To find an initial feasible point, a suitable auxiliary program ... f x x in mathbb Z n, Ax b, l leq x leq u math can be solved using the Graver basis math G A math in polynomial ... ref that for every fixed l and m , its Graver basis math G A math can be computed in time which is polynomial ... dependent convex costs on the arcs. Then for every fixed k and m , the Graver basis of the defining ... Graver basis cannot be computed in polynomial time, but can be accessed in an indirect way that allows ... programs can be solved in polynomial time by the iterative Graver basis method described above. So ... for integer programming Denote by math G m,n math the Graver basis of the matrix math A math ... of any element of the Graver basis math G m,n math is at most g m . It follows that the Graver basis ... basis math G m,g m math . To approximately solve in practice an arbitrary integer programming problem ... math in the iterative algorithm as long as possible to obtain as good as possible feasible point for the integer ... if the objective function value of this point is satisfactory say, as compared to the value of the linear programming relaxation , then use this point otherwise increment k and proceed to the next ... math G k m,n math of the Graver basis has polynomial cardinality math O left m g k n k right ... more details
A Darboux basis may refer either to A Darboux basis of a symplectic vector space In differential geometry , a Darboux frame on a surface. A Darboux tangent in the dovetail joint . disambig Category Mathematical disambiguation ... more details
In tax 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 cost or other basis of property , reduced by depreciation deductions and increased by capital expenditures. Example Brad buys a lot for 100,000. He then erects a retail facility for 600,000, then depreciates the improvements for tax purposes at the rate of 15,000 per year. After three years his adjusted tax basis is 655,000 100,000 600,000 3 x 15,000 . Adjusted basis is one of two variables in the formula used to compute gains and losses when determining gross income for tax purposes. The Amount Realized Adjusted Basis tells the amount of Realized Gain if positive or Realized Loss if negative . Statutory definition Section 1012 of the Internal Revenue Code defines basis as a taxpayer s cost in acquiring property, except as provided in Sections 1001 1092. Section 1016 then lists 27 adjustments to this basis. Generally, improvements to property increase basis while depreciation deductions decrease it. Calculation Adjusted basis is calculated by beginning with an asset s original cost basis, and then making adjustments. Adjusted basis is calculated as follows Purchase costs title & escrow fees, broker commissions, shipping, sales tax, etc. Improvements rehabilitation expenses & substantial repairs Legal fees to defend or to perfect title to the property, zoning costs, etc. Selling costs title & escrow fees, broker commissions, shipping, transfer fees, etc. Minus the costs represented by Accumulated Depreciation Accumulated depreciation , depletion, or amortization Casualty or theft Loss Other decreases to basis Adjusted basis Adjusted basis is crucial for calculating capital gains and ordinary gains when an asset is sold. A complete list of adjustments which increase or decrease basis is found in IRS Publication 551, Basis of Assets. The adjusted basis for tax purposes are different than for financial accounting ... more details
Basis theorem can refer to Hilbert s basis theorem , in algebraic geometry Low basis theorem , in computability theory disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ... more details
Unreferenced stub auto yes date December 2009 A basis swap is an interest rate swap which involves the exchange of two floating rate financial instrument s. A basis swap functions as a floating floating interest rate swap under which the floating rate payments are referenced to different bases. Usage of basis swaps for hedging Basis risk occurs for positions that have at least one paying and one receiving stream of cash flows that are driven by different factors and the correlation between those factors are less than one. Entering into a Basis Swap may offset the effect of gains or losses resulting from changes in the basis, thus reducing basis risk. against exposure to currency fluctuations for example, 1 mo USD LIBOR for 1 mo GBP LIBOR against one index in the favor of another for example, 1 mo USD T bill for 1 mo USD LIBOR different points on a yield curve for example, 1 mo USD LIBOR for 6 mo USD LIBOR Basis swaps in energy commodities In energy markets, a basis swap is a swap on the price differential for a product and a major index product e.g. Brent Crude or Henry Hub gas . See also Interest rate swap Basis trading Derivatives market Unreferenced date October 2010 DEFAULTSORT Basis Swap Category Derivatives finance Economics stub ... more details
Location map many Europe label Basis Nord label size 100 pos right background white lat 69.25 long 32.26 marksize 9 width 400 float right caption Basis Nord in the Soviet Union Basis Nord was a proposed secret Nazi Germany German naval base in Zapadnaya Litsa Bay, west of Murmansk provided by the Soviet ... naval collaboration and ambitions, 1919 1941. Chapter 5. P. 112 17 ref In 2008, Basis Nord featured ... only to be known as Basis Nord Base North . The German supply ship Sachsenwald entered ... point of the Kola Peninsula , which the Germans accepted. ref name philbin82 Base Operations ... point where the Germans would later retrieve them. ref name philbin64 Harvnb Philbin III 1994 pp 64 75 ref The base at Zapadnaya Litsa , called Basis Nord , had advantages with regard to secrecy. It was surrounded ... of Basis Nord was a political impossibility. ref name philbin93 Harvnb Philbin III 1994 pp 93 ... Basis Nord, in the Norwegian Sea, though the British did not know U 36 s mission. ref name philbin96 ... the ships used were not launched from Basis Nord, the convert 11776 long ton short ton lk on adj ... last Kovalev first Sergey title The Basis Nord Mystery journal Oil of Russia International Quarterly ... of Narvik Narvik operations was sent from Basis Nord. ref One source indicates that the whale oil factory ship Jan Wellem cite Miramar id 5605562 accessdate 3 February 2009 also entered Basis Nord. Citation ... PA114&lpg PA114&dq jan wellem basis nord&q jan 20wellem 20basis 20nord accessdate Another source indicates ... were supplied out of Basis Nord. ref Harvnb Philbin III 1994 p 113 ref On May 1, 1940, the Soviets provided a better anchorage point for Basis Nord at nearby Iokanga Bay. ref name philbin112 However, the German capture of Norway decreased the need for operations at Basis Nord, and it became more ... pp 112 117 ref In April 1940, the Soviet Union withdrew its promises given with regard to Basis ... of the Soviet Union and Soviet Russia nl Basis Nord pl Basis Nord ru ... more details
In mathematics , a basis function is an element of a particular Basis linear algebra basis for a function space . Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors . In numerical analysis and approximation theory , basis functions are also called blending functions, because of their use in interpolation In this application, a mixture of the basis functions provides an interpolating function with the blend depending on the evaluation of the basis functions at the data points . Examples Polynomial bases The collection of quadratic polynomials with real coefficients has 1, t , t sup 2 sup as a basis. Every quadratic polynomial can be written as a 1 bt ct sup 2 sup , that is, as a linear combination of the basis functions 1, t , and t sup 2 sup . The set 1 2 t 1 t 2 , t t 2 , 1 2 t t 1 is another basis for quadratic polynomials, called the Lagrange polynomial Lagrange basis . Fourier basis Sines and cosines form an orthonormality orthonormal Schauder basis for square integrable functions. As a particular example, the collection math sqrt 2 sin n pi x n in mathbb N cup sqrt 2 cos n pi x n in mathbb N cup 1 math forms a basis for Lebesgue space L sup 2 sup 0,1 . References cite book last Ito first Kiyoshi authorlink coauthors others title Encyclopedic Dictionary of Mathematics edition 2nd ed. year 1993 publisher MIT Press location isbn 0 262 59020 4 pages 1141 See also col begin col 1 of 3 Basis linear algebra Hamel basis Schauder basis in a Banach space Dual basis Biorthogonal system Markushevich basis col 2 of 3 Orthonormal basis in an inner product space Orthogonal polynomials Fourier analysis and Fourier series Harmonic analysis Orthogonal wavelet Biorthogonal wavelet col 3 of 3 Radial basis function shape functions in the Galerkin method and Finite element analysis Choosing a basis Finite elements bases Functional ... more details
Carryover basis occurs when a property transfer also results in a transfer of the transferor s Cost basisbasis in the property. The transferor s basis in the property carries over to the transferee. Tax law of United States of America Carryover basis, also referred to as a transferred basis , applies to inter vivos gifts and transfers in Trust law trust . ref IRC 1015 http www.law.cornell.edu uscode search display.html?terms 1015&url uscode html uscode26 usc sec 26 00001015 000 .html ref Generally, a taxpayer s Cost basisbasis in property is the cost to acquire the property. ref IRC 1012 http www.law.cornell.edu uscode search display.html?terms 1012&url uscode html uscode26 usc sec 26 00001012 000 .html ref However, there is an exception for inter vivos gifts and transfers in trust. ref IRC ... sec 26 00001015 000 .html ref For gifts, to calculate a gain, the donee has the same basis in the property as the donor s adjusted basis in the property. ref IRC 1015 a http www.law.cornell.edu uscode ... rule applies for calculating a loss, unless the donor s adjusted basis is greater than the fair market ... does not carry over and the basis is the fair market value of the property at the time of the gift ... gain, Daughter uses Mother s carryover basis 20 . Thus, Daughter realizes an 18 gain in the sale ... s basis of 20. Thus, there is no gain. But there is no loss either for the purpose of determining loss ... realizes neither a gain nor a loss in the sale to John. Carryover Basis in Related Disciplines In tax law , the concept of carryover basis is prevalent in the formation of a business. In Partnership taxation USA partnership taxation, carryover basis occurs when a partner contributes capital to the partnership ... s basis in the contributed capital asset will be the same as the basis of the partner who contributed ... basis occurs when a person contributes a capital asset to a newly formed corporation controlled ... s basis in the asset then is the same as the transferor s. ref 26 USCA 351 ref See also Cost basis ... more details
unreferenced date June 2011 Dry basis is a expression of the calculation in chemistry , chemical engineering and related subjects, in which the presence of water is ignored for the purposes of the calculation. Water is neglected because addition and removal of water are common processing steps, and also happen naturally through evaporation and condensation , it is frequently useful to express compositions on a dry basis to remove these effects. Example An aqueous solution containing 2 g of glucose and 2 g of fructose per 100 g of solution contains 2 100 2 glucose on a wet basis , but 2 4 50 glucose on a dry basis. If the solution had contained 2 g of glucose and 3 g of fructose, it would still have contained 2 glucose on a wet basis, but only 2 5 40 glucose on a dry basis. Category Analytical chemistry analytical chem stub ... more details
Globalize date July 2010 The tax basis of an asset is generally its cost. Determining such cost may require allocations where multiple assets are acquired together. Tax basis may be reduced by allowances for depreciation. Such reduced basis is referred to as the adjusted tax basis . Adjusted tax basis is used in determining gain or loss from disposition of the asset. Tax basis may be relevant in other ... p551.pdf Publication 551 . ref Tax basis of a member s interest in a partnership and other flow through ... basis of property acquired by gift is generally the basis of the person making the gift. Tax basis in property received from corporations or partnerships may be the corporation s or partnership s basis in some cases. Determining tax basis The basis of property is generally the property s cost ..., tax basis includes cash paid plus liabilities assumed. For example, if Joe acquires a building for 10,000 cash and assumes a mortgage for 80,000, Joe s basis in the building is 90,000. If multiple items of property are acquired together in a single transaction, the tax basis must generally be allocated ... the cost of the portion of the property sold. Adjustments to basis The tax basis of an asset ..., if Joe claimed 25,000 of depreciation deductions on his building, his adjusted basis would be the 90,000 ... in value of certain assets, which reduces tax basis. Partner s basis in partnership A partner s tax basis in the partnership generally equals the adjusted basis of property contributed or cash ... arise from services performed in exchange for the partnership interest. The member s basis is adjusted ... tax basis below zero. Similar rules apply for other flow through entities, such as S corporation s and flow through Limited liability companies . The member s basis is also reduced for distributions .... ref a partner s tax basis is also increased to the extent the partner is considered to have assumed liabilities. The partner s tax basis is decreased to the extent the partner is considered to have ... more details
Unreferenced date December 2009 Basis risk in finance is the risk associated with imperfect Hedge finance hedging using Futures contract future s. It could arise because of the difference between the asset whose price is to be hedged and the asset underlying the Derivative finance derivative , or because of a mismatch between the expiration date of the Futures contract futures and the actual selling date of the asset. Under these conditions, the spot price of the asset, and the futures price, do not converge on the expiration date of the future. The amount by which the two quantities differ measures the value of the basis risk. That is, Basis Spot price of hedged asset Futures price of contract Example Of Basis Risk Treasury bill future being hedged by two year Bond, there lies the risk of not fluctuating as desired. See also Risk Uncertainty Financial risk management List of finance topics DEFAULTSORT Basis Risk Category Financial risk ... more details
Merge from Cost basis reporting date August 2011 Merge from Tax basis date August 2011 UStaxation Basis or cost basis , as used in United States tax law , is the original cost of property, adjusted for factors ... loss that equals the amount realized on the sale minus the sold property s basis. The taxpayer deserves ... case, basis would equal amount realized and there would be no tax at disposition since appreciation ... s definition of basisBasis is the amount of your investment in property for tax purposes. Use the basis of property to figure depreciation, amortization, Depletion accounting depletion , and casualty ... basis For federal income taxation purposes, determining basis depends on how the asset in question ..., the basis equals the purchase price. See IRC Internal Revenue Code 1012. Assets acquired by gift or trust The general rule is that assets acquired by gift or trust receive transferred basis also called carryover basis . See IRC 1015. Put simply, gifted assets retain the donor s basis. This means ... basis. The general rule does not apply, however, if at the time of transfer the donor s adjusted basis .... In this situation the asset s basis is its fair market value at the time of transfer. See Treas ... stepped up basis , meaning the fair market value of the asset at the time of the decedent s death ... from any income taxation whatsoever. Adjusted basis An asset s basis can increase or decrease ... minus the adjusted basis . Capital improvements such as adding a deck to your house increase the asset s basis while depreciation deductions statutory deductions that reduce the taxpayer s taxable income for a given year diminish the asset s basis. Another way of viewing adjusted basis is to think ... deductions representing withdrawals. Mutual Fund Basis Methods For mutual funds, there are 4 basis methods approved by the IRS, detailed in Publication 564 Cost basis methods Specific share identification First in, first out FIFO Average basis methods Average cost single category ACSC Average cost ... more details
advert date October 2010 Cleanup link rot date August 2011 BASIS Schools, Inc. is an Arizona charter school operator. It operates six schools in the state. These schools, most notably BASIS Tucson and BASIS ... policybot results 19264 Arizona Charter Makes Top 100 List.html ref Charter schools BASIS operates six schools Phoenix area BASIS Chandler BASIS Peoria BASIS Phoenix opening for 2012 2013 ref https www.basisschools.org index.php?option com content&view article&id 223&Itemid 394 ref BASIS Scottsdale Tucson area BASIS Tucson BASIS Tucson North opening for 2012 2013 ref https www.basisschools.org index.php?option com content&view article&id 238&Itemid 430 ref BASIS Oro Valley Northern Arizona BASIS Flagstaff Other Washington, D.C. opening in future ref name evtrib http www.yourwestvalley.com .... BASIS opened three schools at once in the fall of 2011 its Chandler, Peoria, ref name peo http www.azcentral.com community peoria articles 2011 08 09 20110809peoria basis charter school opens.html ref .... ref name evtrib In the spring of 2011, BASIS was offered a charter in the Washington, D.C. area. It will be its first non Arizona campus when it opens. ref name evtrib Model BASIS schools are organized .... Praise and media attention BASIS Schools have been noted for performing favorably on standardized ... AIMS . ref http www.azdatapages.com datacenter education aims.html?fdistrict BASIS School 2C ... high school. BASIS s academic performance has prompted media attention from a wide variety ... 119 ref Newsweek has ranked BASIS one of America s top ten schools every year since 2006. BASIS ... article&id 160&Itemid 276 ref BASIS has also gained national media attention for being featured ... can succeed with the BASIS model if they are willing to put the work in. ref http blogs.edweek.org ..., several prominent political figures visited BASIS campus to deliver speeches on the importance ... Barrett businessman Craig Barrett , former CEO of Intel Michael Block, BASIS co founder Clint Bolick ... more details
In mathematics , a Schauder basis or countable basis is similar to the usual Hamel basis Hamel basis linear algebra basis of a vector space the difference is that Hamel bases use linear combination s that are finite ...&ndash 320. ref although such bases were discussed earlier. For example, the Haar basis was given in 1909, and harvs txt last Faber year 1910 authorlink Georg Faber discussed a basis for continuous ... space over the field mathematics field F . A Schauder basis is a sequence b sub n sub of elements ... space . As opposed to a Hamel basis , the elements of the basis must be ordered since the series .... Every orthonormal basis in a separable Hilbert space is a Schauder basis. The Haar wavelet Haar system is an example of a basis for Lp space L sup p sup 0, 1 with 1 p . Another example ... on the interval 0, 1 , with the supremum norm , admits a Schauder basis. A Banach space with a Schauder basis is necessarily Separable space separable , but the converse is false, as described below. Every Banach space with a Schauder basis has the approximation property . Basis problem A theorem ... subspace that has a Schauder basis. A question of Banach asked whether every separable Banach space has a Schauder basis this was negatively answered by Per Enflo who constructed a separable Banach space without a Schauder basis. ref Cite journal last Enflo first Per authorlink Per Enflo ... The sequence x sub n sub called the trigonometric system is a Schauder basis for the space Lp ... Fischer theorem . However, the set x sub n sub is not a Schauder basis for L sup 1 sup 0, ... in the L sup 1 sup norm. Unconditionality A Schauder basis math b n math is unconditional if whenever ... , as well as every orthonormal basis in a Hilbert space, are unconditional. The trigonometric system is not an unconditional basis in L sup p sup , except for p 2. The Haar system is a unconditional basis in L sup p sup for any 1 p . Actually, the space L sup 1 sup has no unconditional ... more details
refimprove date July 2011 Basis trading is a trading strategy usually consisting of the purchase of a particular security finance security and the sale of a similar security often the purchase of a security and the sale of a corresponding futures contract . Basis trading is done when the investor feels that the two securities are mispriced with respect to each other, and that the mispricing will correct itself such that the gain on one side of the trade will more than cancel out the loss on the other side of the trade. In the case of such a trade taking place on a security and the futures contract, the trade will be profitable if the purchase price plus the cost of carry is less than the futures price. It is also called cash and carry trade. Basis of futures Basis of futures can be defined as the difference between the spot price and the futures price. ref Hull, Options, Futures and Other Derivatives , 6 Ed, Prentice Hall ref There will be a different basis for each delivery month for each contract. Usually, basis is defined as spot price minus futures price, however, the alternative definition, future price minus spot, is also used. Adhering to the usual definition, if the basis for each contract is positive and increasing with tenure, the market is in backwardation . If the basis for each contract is negative and decreasing with tenure increasing in absolute value then the market is in contango . Successful basis trading favorably balances the futures contract and the cash movement associated with the contract. It is with this in mind that traders analyze the activity level ... possible to position a sale in the same manner as the purchase described above. Again, basis ... over into another trade. Basis of options In option trading , basis is used to evaluate the value ... finance long or short finance short the underlying security. See also Basis swap References reflist DEFAULTSORT Basis Trading Category Derivatives finance ... more details
Infobox company company name BASIS International Ltd. company logo Deleted image removed Image BASISlogo.jpg thumb right BASIS International Ltd. company type Private foundation 1985 location Albuquerque, New Mexico industry Computer software products BBx , BBj , Barista Application Framework, AddonSoftware ERP homepage URL http www.basis.com BASIS International Ltd. is the developer and supplier of the BBx family of interpreted programming languages derived from Business BASIC , the newest generation of which is BBj . In 1985, BASIS released BBx Business BASIC eXtended , their first generation of Business BASIC . The fifth generation product includes PRO 5 for UNIX Linux and Visual PRO 5 for Microsoft Windows . The sixth generation product, BBj , developed in Java programming language Java , is available for Microsoft Windows , UNIX Linux , and Mac OS X . See also BBx BBj External links official http www.basis.com http www.basis europe.eu en BASIS Europe website http www.addonsoftware.com AddonSoftware ERP website DEFAULTSORT Basis International Category Software companies based in New Mexico Category Companies established in 1985 ... more details
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