function@@1 function function 10903369 Every function of the points on a sphere can be expanded as a series of them . 1.0
function@@1 function function 11835150 The rear headquarters is some distance from the battle or front line in conventional operations , its function is to ensure the logistical support to front line troops , it does this by providing medical , material , equipment & combat supplies by vehicle to where they are most needed . 1.0
function@@1 function function 13135779 The principal mechanism of the taxane class of drugs is the disruption of microtubule function . 1.0
function@@1 function function 13818770 Secondary function : the dodgeball is thrown much harder , doing more damage . 1.0
function@@1 function function 15901995 Jack David Zipes is a Professor of German at the University of Minnesota whose publications and lectures on fairy tales have transformed research on fairy tales and their linguistic roots and socialization function . 1.0
function@@1 function function 16028332 If possible , cardiac function and oxygenation should be optimized to improve oxygen delivery to the ischemic bowel . 1.0
function@@1 function function 17368002 It may be shown that the Legendre transformation changes the maximum condition of the entropy ( valid at equilibrium ) in a minimum condition of the extended Massieu function for stationary states , no matter whether at equilibrium or not . 1.0
function@@1 function function 1765606 Given any set A , the identity function i_A< is the set {(x,x)mid x in A}< : this is a set in both ZFC and NF , but for different reasons . 1.0
function@@1 function function 18522932 Although knowledge of this area is still far from complete , a great deal of refinement has been made possible with brain imaging technology and investment in research projects into human brain function . 1.0
function@@1 function function 19066840 Due to its offering of preparatory classes for school exams , the German Volkshochschule also fulfills the educational function of adult high schools in other countries . 1.0
function@@1 function function 20071303 The Dam derives its name from its original function : a dam on the Amstel River , hence also the name of the city . 1.0
function@@1 function function 20305096 Einstein observed that whenever a function satisfies some partial differential equation , we can use the corresponding rewrite rule to eliminate some of them , because further mixed partials have necessarily become linearly dependent . 1.0
function@@1 function function 2280590 As an elected official , the town clerk is solely executive in function and operates independently of the town council . 1.0
function@@1 function function 23283216 Spears vary greatly in function depending upon the length of the shaft , weight of the point , and location of the grip . 1.0
function@@1 function function 23795216 Some implementations may apply the hashing function more than once — see key strengthening . 1.0
function@@1 function function 23939208 Articles 43 to 49 lay out the function of Andorra ' s two co - princes , the Bishop of Urgell and the President of France . 1.0
function@@1 function function 25610851 Thus , society must act to \" save capitalism from the capitalists \" - - i.e. take appropriate steps to protect the free market from powerful private interests who would seek to impede the efficient function of free markets , entrench themselves , and thereby reduce the overall level of economic opportunity in society . 1.0
function@@1 function function 27932746 Solutions may involve subsystems with redundant spares that can be switched over to , or software \" limp modes \" that provide partial function . 1.0
function@@1 function function 30284868 She performs this function based out of her Norman , Oklahoma , office . 1.0
function@@1 function function 31478494 This has created an impromptu siege tank that is similar in appearance and function to the Vindicator of the Space Marines . 1.0
function@@1 function function 31793876 Its function was to oversee the Royal Naval Air Service ( RNAS ) . 1.0
function@@1 function function 32295812 Drakken is attempting to make himself smarter by apprehending Project Phoebus , which only he seems to know the function of . 1.0
function@@1 function function 37720924 The kind of necessary assumptions about the nature of the target function are subsumed in the term inductive bias . 1.0
function@@1 function function 37747222 Initially , Novell published a development toolkit for NLM programming including kernel API documentation and a C compiler ( Watcom ) , but third - party support for the NLM executable function was very limited . 1.0
function@@1 function function 39528311 The First Ladies fulfill a protocole function as hostesses , and since 1925 , they have had their own private office and staff , and preside over different charitable organizations , such as Ropero del Pueblo ( 1947 - 1958 ) , CEMA Chile ( 1967 - 1990 ) , Fundación Nacional de Jardines Infantiles , Fundación de la Familia , and others . 1.0
function@@1 function function 40662694 The Délégation générale à la langue française ( General delegation of the French tongue ) has acquired the additional function of observing and studying the languages of France and has had \" et aux langues de France \" ( ...and other languages of France ) added to its title . 1.0
function@@1 function function 43493288 \" Aspects of the structure and function of baleen , and some effects of exposure to petroleum hydrocarbons \" . 1.0
function@@1 function function 43697305 The Court of Appeal and Supreme Court found the definition of an \" institution \" is an institution which under legislation has a function related to government . 1.0
function@@1 function function 47256454 However , recently its function moved toward a multi - purpose social , educational and cultural center for the Taiwan public . 1.0
function@@1 function function 48360967 The initial function of OHS was to collect and distribute newspapers published in Oklahoma Territory . 1.0
function@@1 function function 50751312 While prismatic blades were generally not curated ( in the traditional sense ) due to their small size , utility of the tools may have been maintained by changing their function . 1.0
function@@1 function function 51264861 This phenomenon leads to an irony of psychological type : Extraverts have extremely rich interior lives , with two introverted functions operating to balance their dominant function . 1.0
function@@1 function function 52209876 In computer programming , the mathematical function used to perform this calculation is usually given the name abs ( ) . 1.0
function@@1 function function 58855422 These single truss designs are used for their rigidity and do perform the function of keeping the optical elements parallel , but since the lack the opposing truss they are not technically a \" Serrurier truss \" . 1.0
function@@1 function function 60073753 Anesthesia for an esophagectomy is also complex , owing to the problems with managing the patient ' s airway and lung function during the operation . 1.0
function@@1 function function 7948055 It is not ' judicial activism ' when the courts carry out their constitutionally - assigned function and overturn a decision of the Executive or Legislature in the course of adjudicating a case or controversy properly before the courts. . . . 1.0
function@@1 function functions 10271060 He came from the minor council , an assembly formed from members of the so - called apostolic families that , in oligarchical Venice , assumed the governmental functions of judges , military councilmen , ambassadors and heads of state . 1.0
function@@1 function functions 13377085 The premises were used for a variety of functions , mostly agricultural but also as a school of domestic science for young women . 1.0
function@@1 function functions 14805884 The committee ceased to exist in February 1977 , under S. Res. 4 of the 95 th Congress when its functions were transferred to the Committee on Governmental Affairs . 1.0
function@@1 function functions 16996661 It still left a gap though , because several of Mark ' s functions in the serial , as slightly the eldest of the youngsters , could not have been taken over by the others . 1.0
function@@1 function functions 17254655 The Broward County Charter provides for a separation between the legislative and administrative functions of government . 1.0
function@@1 function functions 22464705 The apostles always held the supreme authority , though , as their number dwindled , their coadjutors inherited their responsibilities as long as they lived , and assisted the survivors in the functions of the apostolate . 1.0
function@@1 function functions 24408226 Panasonic Avionics Corporation ( previously incorporated as Matsushita Avionics Systems ) , is a part of Matsushita Electric Industrial and is headquartered in Lake Forest , California with major business functions also shared with the former headquarters located in Bothell , WA . 1.0
function@@1 function functions 28180755 The phi complex is a brain rhythm in the awake human brain that appears to serve various social functions . 1.0
function@@1 function functions 28325890 Those who hold such skills are able to dominate the state , the economy , and the culture because the structures of these sectors of modern society require technical functions that only specially skilled personnel can provide . 1.0
function@@1 function functions 29473946 The functions of a society in providing such benefits would be those agreed to by the majority of individuals in the society . 1.0
function@@1 function functions 31722172 Balanced distribution of functions between the union and the states and local governments , together with allocation of adequate resources and devolution of powers commensurate with their functions . 1.0
function@@1 function functions 31794741 Each individual is aware of how they are judged by others because he or she has attempted many different roles and functions in social interactions and has been able to gauge the reactions of those present . 1.0
function@@1 function functions 32893462 Pointing out that Brooks had failed to name any governmental entity as a defendant , Rehnquist went on to argue that \" very few \" functions have been exclusively carried out by state governments . 1.0
function@@1 function functions 33354901 The SPA9000 also has basic router functions , port forwarding , QoS , and DTMF functionality . 1.0
function@@1 function functions 34858148 They are divided into castes , based mostly on size , that perform different functions . 1.0
function@@1 function functions 39251471 The Green Party , for example , aims to abolish the GCSB and possibly the SIS - - the functions of the former are deemed unnecessary and undesirable , while the functions of the latter are suggested as better performed by the Police . 1.0
function@@1 function functions 40334613 General users thus can invoke only specific supervisor functions , controlled by the operating system . 1.0
function@@1 function functions 42244431 A unitary authority is a type of local authority that has a single tier and is responsible for all local government functions within its area or performs additional functions which elsewhere in the relevant country are usually performed by national government or a higher level of sub - national government . 1.0
function@@1 function functions 425876 The actuarial functions supplied by PwC include advice to the PwC accountants on insurance company financial reporting , advising buyers and targets on ( mainly insurance ) M & A ' s and financial modeling . 1.0
function@@1 function functions 46318816 Banco Nacional Ultramarino S.A. retains its functions as a note issuer and Agent of the Treasury . 1.0
function@@1 function functions 46426232 Implementations of all FIPS - approved security functions can be officially validated through the CMVP program , jointly run by the National Institute of Standards and Technology ( NIST ) and the Communications Security Establishment ( CSE ) . 1.0
function@@1 function functions 50893074 At the beginning of 2007 , the company handed over its production , sales and marketing functions to its subsidiary company , NunnaUuni Oy . 1.0
function@@1 function functions 50973155 After the closure of the works , part of the workshop was used for the building of Isetta microcars between 1957 and 1964 and some of the land remained in railway use , associated with the stabling of electric multiple unit trains and other maintenance functions . 1.0
function@@1 function functions 53049203 Before this in 1990 – 2004 its functions were performed by a separate ministry known by the following names : 1.0
function@@1 function functions 54570455 Its functions were transferred to the Human Tissue Authority , another division of the Department of Health . 1.0
function@@1 function functions 56995986 In Michigan , most local government functions - - police and fire , building and zoning , tax assessment , street maintenance , etc. - - are the responsibility of individual cities and townships . 1.0
function@@1 function functions 58129060 In some states such as Queensland Mayors have broad executive functions ; in states such as New South Wales Mayors are essentially ceremonial figureheads who can only exercise power at the discretion of the council . 1.0
function@@1 function function 10173069 Visual function declines as a result of the irregular corneal shape , resulting in astigmatism , and causing a distortion in vision . 0.666666666666667
function@@1 function function 10411796 Both assume that the sampled function is zero for all negative time indices . 0.666666666666667
function@@1 function function 13710082 VBScript supplies the New keyword as well as the CreateObject ( ) global function for object instantiation . 0.666666666666667
function@@1 function function 13757892 Most of the members of the box C D family function in directing site - specific 2 ' - O - methylation of substrate RNAs. Plant snoRNA snoR1 was identified in a screen of Arabidopsis thaliana . 0.666666666666667
function@@1 function function 14129135 Labour markets function through the interaction of workers and employers . 0.666666666666667
function@@1 function function 15731334 In the anime series Dennou Coil , the main characters live in a city prevalent with Augmented Reality , and wear glasses that function as computers . 0.666666666666667
function@@1 function function 16702794 Penultimate Hop Popping , a function of certain routers in MPLS computer networks 0.666666666666667
function@@1 function function 17907910 The best models can be very different from those taken directly from elliptic function theory . 0.666666666666667
function@@1 function function 2281178 The function f can be expressed in terms of f and f as 0.666666666666667
function@@1 function function 23703164 The stretched exponential function , also widely known as the Kohlrausch - Williams - Watts ( KWW ) function , is a frequently used empirical description of the relaxation rates of many physical properties of complex systems such as polymers and glasses . 0.666666666666667
function@@1 function function 24282185 Its total internal energy U is postulated to be a function of the entropy S , the volume V , and the number of particles of each species N , . . . , N : 0.666666666666667
function@@1 function function 25117377 The actual flow is computed as a function of the water velocity and face . 0.666666666666667
function@@1 function function 26562805 Blood tests and spirometry ( lung function testing ) are also necessary to assess whether the patient is well enough to be operated on . 0.666666666666667
function@@1 function function 2656433 It is not necessary that g be a one - to - one function . 0.666666666666667
function@@1 function function 27065178 Horizon formation is a function of a range of geological , chemical , and biological processes and occurs over long time periods . 0.666666666666667
function@@1 function function 30141876 The city is divided into 78 districts and nine wards that do not function as local government units . 0.666666666666667
function@@1 function function 3178804 for any pair of generators of the lattice defines the Weierstrass function as a function of a complex variable and a lattice . 0.666666666666667
function@@1 function function 32430818 Self sustainment services include catering , communications , medical , , accommodation , field defense , observation , and so on - - all of the services required to enable a formed military or police unit to sustain itself and function in the field . 0.666666666666667
function@@1 function function 33024118 Result register CX contains both cylinders and sector track values , see remark of function 02 h . 0.666666666666667
function@@1 function function 34554622 A single system which is composed of several interacting parts that contribute to the basic function , and where the removal of any one of the parts causes the system to effectively cease functioning \" . 0.666666666666667
function@@1 function function 39011443 a reconciliation function between existing performance measurement systems and the attribution system 0.666666666666667
function@@1 function function 40907913 The function above is generally used to build up partitions of unity on differentiable manifolds . 0.666666666666667
function@@1 function function 41145617 This reality , that expression of futurity in English is a function of the present tense , is born out by the ability to negate the implication of futurity without making any change to the auxiliary construction . 0.666666666666667
function@@1 function function 42036057 limit - preserving function ( order theory ) on the preservation of existing suprema infima . 0.666666666666667
function@@1 function function 42159074 Let f(mathbf{x},sigma)< be a smooth differentiable function on U subset mathbb{R}^2 0.666666666666667
function@@1 function function 43122093 The reason why Postel had the authority to perform the IANA function was that he had always done it in his position at the Information Sciences Institute , under its DOD contract , and did it well . 0.666666666666667
function@@1 function function 45274760 Nevada was one of the first western states to have an organized highway patrol function . 0.666666666666667
function@@1 function function 4738855 A constant function such as f ( x ) = π is a rational function since constants are polynomials . 0.666666666666667
function@@1 function function 51710754 In 2003 Newcastle Music Week attracted over 4,000 participants who enjoyed a weeklong music festival , a Music Expo , a VIP function and Finale Gig . 0.666666666666667
function@@1 function function 51968755 The high point of the special function theory in the period 1850 - 1900 was the theory of elliptic functions ; treatises that were essentially complete , such as that of Tannery and Molk , could be written as handbooks to all the basic identities of the theory . 0.666666666666667
function@@1 function function 52693088 a function definition for create - image , which is a one - line function in mathematics , assuming an algebra of images with place - image , circle , and empty - scene have been introduced ; 0.666666666666667
function@@1 function function 52901509 The latter notation corresponds to viewing R as the characteristic function of the set of pairs G . 0.666666666666667
function@@1 function function 52911214 2944 - sum of the totient function for the first 98 integers 0.666666666666667
function@@1 function function 52946410 Rehabilitation ( neuropsychology ) , therapy aimed at improving neurologic function that has been lost or diminished by disease or traumatic injury . 0.666666666666667
function@@1 function function 53861271 Mixing DOT 5 with other types of brake fluids will start a chemical reaction that will cause solids to precipitate out of the mixture and inhibit proper brake system function . 0.666666666666667
function@@1 function function 5522471 Linked with the percentile function , there is also a weighted percentile , where the percentage in the total weight is counted instead of the total number . 0.666666666666667
function@@1 function function 59491913 While the severity of brain trauma has been standardized for immediate \" side - line \" assessment , much work needs to be done to understand how to rehabilitate or accelerate the rehabilitation of athletes ' brain function following serious concussion - - where consciousness is lost for a few moments or more . 0.666666666666667
function@@1 function function 6278923 By doing this , they were able to create the necessary conditions needed to make the Airship function , which in turn would take them to where they started , and reveal to them the concept they needed to learn . 0.666666666666667
function@@1 function function 6735367 The function of the ware is determined by its shape , and its design and painted images . 0.666666666666667
function@@1 function function 7515461 The Aegis combat system is controlled by an advanced , automatic detect - and - track , multi - function three - dimensional passive electronically scanned array radar , the AN SPY - 1 . 0.666666666666667
function@@1 function functions 10841223 However , the discipline has a clear set of antecedents such as moral philosophy , political philosophy , political economy , history , and other fields concerned with normative determinations of what ought to be and with deducing the characteristics and functions of the ideal state . 0.666666666666667
function@@1 function functions 12366885 Hanwell is both a community and local service district immediately southwest of Fredericton and functions primarily as a suburb exurb for that city . 0.666666666666667
function@@1 function functions 13588558 The ' higher ' functions of reason and speech may be more evolved in the brain of Homo sapiens than its cousins , but the relative size of the limbic system is a constant in apes , monkeys and humans ; as human rational faculties have expanded , so has the wetware of emotion . 0.666666666666667
function@@1 function functions 13593564 Known for her exciting yet sensitive acting and singing performances on stage , film and television , Rosanne can brighten up any occasion with her exuberance and charm , and is in regular demand for guest appearances at gala functions and on television and radio . 0.666666666666667
function@@1 function functions 14216243 It has been suggested that they may aid insectivorous birds in prey capture or that it may have sensory functions , however there is no clear evidence . 0.666666666666667
function@@1 function functions 15319820 The line functions as a commuter rail of Kagoshima , as well as a sightseeing line to Ibusuki onsen ( hot spring ) resort . 0.666666666666667
function@@1 function functions 17141578 When the 850 th Space Communications Squadron was inactivated on 31 January 2006 , most of its functions and personnel were incorporated into 50 SCS. ( http: ) 0.666666666666667
function@@1 function functions 17679473 Said engine currently performs well in comparison to other GDI based products - but Microsoft ' s recent decision to drop accelerated bitmap functions in the forthcoming Vista implementation of GDI appears to cause widespread performance problems . 0.666666666666667
function@@1 function functions 19523821 It officially belongs to both , but is governed by neither , and functions under a decentralized system of local government . 0.666666666666667
function@@1 function functions 19922024 It added shell functions and the SVID. New kernel features included record and file locking , demand paging , and copy on write . 0.666666666666667
function@@1 function functions 20345005 This scoring system implemented vast changes , with the following features : ( 1 ) All of the individual events were scored with exponential functions , rather than the linear functions that had characterized all decathlon scoring tables to date . 0.666666666666667
function@@1 function functions 24728694 A prominent example of a customizable toolbar is the Microsoft Windows Taskbar ; functions of which range from an expandable programs menu , task listing , system tray and clock . 0.666666666666667
function@@1 function functions 26171424 The National Assembly maintains the functions of the Senate , the Supreme Court maintains the functions of the Constitutional Council , and the provinces remain in effect until the regions are set up . 0.666666666666667
function@@1 function functions 30144177 Closed source APIs can also have undocumented functions that are not generally known . 0.666666666666667
function@@1 function functions 30159765 Some functions of the transitional epithelium cells : accommodates fluctuation of volume of the liquid in an organ or tube ( i.e. urinary bladder ) , and protection against the caustic effects of urine . 0.666666666666667
function@@1 function functions 33740049 So , different functions could indeed be ascribed to particular regions of the brain , but that a finer localization was lacking . 0.666666666666667
function@@1 function functions 36667367 Support functions are often placed in areas surrounding the audience . 0.666666666666667
function@@1 function functions 44962573 One immediate application is an extension of the standard definitions of differentiation and integration to internal functions on intervals of hyperreal numbers . 0.666666666666667
function@@1 function functions 46404332 In 2006 the basement of the Cathedral which holds the church hall was renovated to accommodate parish gatherings and diocesan functions . 0.666666666666667
function@@1 function functions 47393051 The concept was a specialized ' Landing Party ' that could do a wide variety of functions , including science , negotiations , and combat . 0.666666666666667
function@@1 function functions 48762875 The morphisms of Frm are ( necessarily monotone ) functions that preserve finite meets and arbitrary joins . 0.666666666666667
function@@1 function functions 53422209 The Osterwalder - Schrader theorem states that Schwinger functions which satisfies these properties can be analytically continued into a quantum field theory . 0.666666666666667
function@@1 function functions 55094943 Some useful functions that a QCD is programmed to do include setting exposure compensation , setting of aperture in manual exposure mode and scrolling of images and menus in digital EOS cameras . 0.666666666666667
function@@1 function functions 57236005 The insight of Langlands was to find the proper generalization of Dirichlet L - functions which would allow the formulation of Artin ' s statement in this more general setting . 0.666666666666667
function@@2 function function 22377270 Thereby the notion of a meromorphic function can be defined for every Riemann surface . 1.0
function@@2 function function 48413737 A hash function takes a long string ( or ' message ' ) of any length as input and produces a fixed length string as output , sometimes termed a message digest or a digital fingerprint . 1.0
function@@2 function functions 15625140 It is a platform - independent library that contains C functions for handling PNG images . 1.0
function@@2 function functions 42502941 In the FRS ' factory ' all costs and activities will be repeated which allows significant process simplifications and time and cost reductions to occur across all functions . 1.0
function@@2 function function 307893 The ADM energy in these cases is defined as a function of the deviation of the metric tensor from its prescribed asymptotic form . 0.666666666666667
function@@2 function functions 12015179 The sound and controls are closer to the SH - 101 in that it uses sliders instead of rotary knobs to alter its sound , but it is programmed much like Roland ' s early digital MC - 4 and MC - 8 Microcomposer sequencers , with an accent and slide functions similar to the TB - 303 . 0.666666666666667
function@@2 function functions 46962733 The Brouwer fixed point theorem ( for continuous functions on a finite product of copies of the closed unit interval ) . 0.666666666666667
function@@2 function functions 51234208 In fact , for some efficiently computable functions it can be shown that any algorithm that computes them will be very inefficient in the sense that the running time of the algorithm increases exponentially ( or even superexponentially ) with the length of the input . 0.666666666666667
function@@2 function functions 54580157 Major topics include the nature of functions of product markets ; factor markets ; and efficiency , equity , and the role of government . 0.666666666666667
function@@2 function functions 60133836 Company ' s leather cases for PDAs has become popular among many because most of Sena ' s PDA cases allow users to access the functions of their devices without taking it out of the case . 0.666666666666667
function@@2 function functions 773735 Corporatization is a more precise term for what often is called privatization , for it almost always refers to a process by which formerly public assets or functions are sold or given to corporate entities . 0.666666666666667
function@@3 function function 13391498 The Poisson equation may be solved using a Green ' s function ; a general exposition of the Green ' s function for the Poisson equation is given in the article on the screened Poisson equation . 1.0
function@@3 function function 17115318 The function definition can be a simple value , or a complicated function that includes trigonometric and logarithmic functions , and a one - , two - , or three - dimensional table lookup . 1.0
function@@3 function function 18353274 A solution to the biharmonic equation is called a biharmonic function . 1.0
function@@3 function function 32960282 Sklar ' s theorem states that given a joint distribution function H for p variables , and respective marginal distribution functions , there exists a copula C such that the copula binds the margins to give the joint distribution . 1.0
function@@3 function function 36717830 In this instance , the positive square root function is taken as the principal branch of the multi - valued relation x . 1.0
function@@3 function function 387508 The initial point is found by putting the initial angular frequency ω into the function and finding | H ( jω ) | . 1.0
function@@3 function function 46598624 Note that x is often a vector of measurements , in which case T ( x ) is a function from the space of possible values of x to the real numbers . 1.0
function@@3 function function 47443948 Then , if one sees ~g=f(y+1)~< , there is no way to distinguish , does it mean ~f=f(x)~< multiplied by ~(y+1)~< , or function ~f~< evaluated at argument equal to ~(y+1)~< . 1.0
function@@3 function function 51923182 Q(x)< will give the probability that a single sample taken from a random process with zero - mean and unit - variance Gaussian probability density function will be greater or equal to x< . 1.0
function@@3 function function 52336679 Nevertheless , the p50 and p52 NF - κB members play critical roles in modulating the specificity of NF - κB function . 1.0
function@@3 function function 56858467 In calculus , the indefinite integral of a given function ( i.e. the set of all antiderivatives of the function ) is always written with a constant , the constant of integration . 1.0
function@@3 function function 8248594 In general , the wavelet series generated by a square integrable function will have a dual series , in the sense of the Riesz representation theorem . 1.0
function@@3 function function 8490681 Most of these questions , however , are undecidable , meaning that the function in question cannot be calculated mechanically . 1.0
function@@3 function functions 23283424 Let us suppose we have a set of wave functions |Psi angle< which depend parametrically on a set of quantum numbers n_1, n_2,..., n_N< . 1.0
function@@3 function functions 25548905 For the simplest single bond , found in the H molecule , molecular orbitals can always be written in terms of two functions χ and χ ( which are atomic orbitals with small corrections ) located at the two nuclei , 1.0
function@@3 function functions 31769784 In mathematics , modular functions are certain kinds of mathematical functions mapping complex numbers to complex numbers . 1.0
function@@3 function functions 39165244 For the inner product space of square - integrable complex - valued functions , one has 1.0
function@@3 function function 15107961 Chapman function , associated with the absorption integral of the Earth ' s atmosphere 0.666666666666667
function@@3 function function 24651656 The data mining algorithm now has much less work to do to find a good predictive function . 0.666666666666667
function@@3 function function 33950232 It is the first symmetric term in the Taylor series expansion of any reasonable , real - life loss function , and so is a \" first - order \" approximation ; 0.666666666666667
function@@3 function function 38014825 By contrast , Hamilton ' s principle directly specifies the motion along the ellipse as a function of time . 0.666666666666667
function@@3 function function 39838252 Besides the logistic function , sigmoid functions include the ordinary arc - tangent , the hyperbolic tangent , and the error function , but also algebraic functions like f(x)= 0.666666666666667
function@@3 function function 5031957 Since the objective function is also linear , hence a convex function , all local optima are automatically global optima ( by the KKT theorem ) . 0.666666666666667
function@@3 function function 52512203 Subgradient method — extension of steepest descent for problems with a nondifferentiable objective function 0.666666666666667
function@@3 function function 53512865 Such a mollifier can be obtained , for example , by taking the bump function Phi< from the previous section and performing appropriate scalings . 0.666666666666667
function@@3 function function 59569569 Points are awarded as a function of the number of \" No \" answers . 0.666666666666667
function@@3 function function 807108 Wings , Oliver ( 2007 ) : A review of gastrolith function with implications for fossil vertebrates and a revised classification . 0.666666666666667
function@@3 function functions 7287330 Note that for any fixed p the function f ( x ) = F ( p , x ) is computable ; thus the universality property states that all computable functions of one variable can be obtained in this fashion . 0.666666666666667