ConseggioLigure/seed-instruct-lij-eng huggingface dataset:
Quæ a l’é a traduçion ingleise de sto testo?
Pe responde in parte a-a deciaraçion do Gill, o professô d'antropologia biològica C. Loring Brace o sostëgne che a raxon pe-a quæ di inesperti e bioantropòlogi arriëscian à determinâ l'ascendensa geografica de un individuo a peu ëse ascciæia da-o fæto che e caratteristiche biològiche an unna distribuçion clinale into pianeta, e sto chì o no se traduxe into conçetto de razza.
A traduçion in ingleise do testo a l’é:
In partial response to Gill's statement, Professor of Biological Anthropology C. Loring Brace argues that the reason laymen and biological anthropologists can determine the geographic ancestry of an individual can be explained by the fact that biological characteristics are clinally distributed across the planet, and that does not translate into the concept of race.
Traduxi sto testo da-o ligure à l’ingleise:
I testi d'antropologia fixica affermavan che e razze biològiche existan fin a-i anni '70, quande an comensou à sostegnî che e razze no existan.
A traduçion in ingleise do testo a l’é:
Physical anthropology texts argued that biological races exist until the 1970s, when they began to argue that races do not exist.
Traduxi in ingleise:
Into frevâ do 2001, i editoî da revista Archives of Pediatrics and Adolescent Medicine an domandou a-i «autoî de no deuviâ razza e etniçitæ quande no existe unna raxon biològica, scientifica ò soçiològica pe fâlo».
A traduçion in ingleise do testo a l’é:
In February 2001, the editors of Archives of Pediatrics and Adolescent Medicine asked "authors to not use race and ethnicity when there is no biological, scientific, or sociological reason for doing so."
Traduxi da-o ligure à l’ingleise:
O Morning (2008) o l'à examinou i testi de biologia pe-a scheua segondäia erta do periodo 1952-2002 e in scê primme o l'à attrovou un modello analogo, donde solo o 35% o discorriva sensa regii de razza into periodo 1983-92 à peto do 92% into primmo periodo.
A traduçion in ingleise do testo a l’é:
Morning (2008) looked at high school biology textbooks during the 1952–2002 period and initially found a similar pattern with only 35% directly discussing race in the 1983–92 period from initially 92% doing so.
Quæ a l’é a traduçion ingleise de sto testo?
Inte l'insemme, o materiale in sciâ razza o l'é passou da-i træti de feua a-a genetica e a-a stöia evolutiva.
A traduçion in ingleise do testo a l’é:
In general, the material on race has moved from surface traits to genetics and evolutionary history.
Traduxi in lengua ingleise:
O nòtta: «Pe tutto ch'a vagghe ben, se peu concludde che biòlogi e antropòlogi oua pan spartii pægi inte seu convinçioin in sciâ natua da razza».
A traduçion in ingleise do testo a l’é:
She notes, "At best, one can conclude that biologists and anthropologists now appear equally divided in their beliefs about the nature of race."
Quæ a l’é a traduçion ingleise de sto testo?
Inte un studio do 2008 l'é stæto intervistou 33 reçercatoî de serviçi sanitäi che ne vegnivan da regioin geografiche differente.
A traduçion in ingleise do testo a l’é:
33 health services researchers from differing geographic regions were interviewed in a 2008 study.
Traduxi sto testo da-o ligure à l’ingleise:
Tanti soçiòlogi se son conçentræ in scî afroamerichen, che alantô se ghe diva möi, e an affermou ch'ean ciù grammi che i gianchi.
A traduçion in ingleise do testo a l’é:
Many sociologists focused on African Americans, called Negroes at that time, and claimed that they were inferior to whites.
Traduxi sto testo da-o zeneise à l’ingleise:
A seu soluçion a l’ea basâ pe-o ciù in sce l’euvia de Al-Khwarizmi.
A traduçion in ingleise do testo a l’é:
His solution was largely based on Al-Khwarizmi's work.
Comm’à l’é a traduçion ingleise de sto testo?
À tutti i mòddi, à un çerto ponto a fòrmola quaddratica a comensa à perde de preçixon apreuvo à l’errô d’arriondamento, tanto che o metodo approscimativo o se fa delongo ciù bon.
A traduçion in ingleise do testo a l’é:
However, at some point the quadratic formula begins to lose accuracy because of round off error, while the approximate method continues to improve.
Comm’à l’é a traduçion ingleise de sto testo?
Di metodi d’approscimaçion numerica, diti prostaferexi, existeivan, e offrivan di scorsaieu pe de operaçioin che domandavan tròppo tempo, comme a moltiplicaçion e quelle in sce de potense ò de reixe.
A traduçion in ingleise do testo a l’é:
Methods of numerical approximation existed, called prosthaphaeresis, that offered shortcuts around time-consuming operations such as multiplication and taking powers and roots.
Traduxi sto testo da-o ligure à l’ingleise:
I algoritmi computaçionæ pe attrovâ e soluçion en unna parte importante de l’algebra lineare numerica e zeugan un ròllo importante inte l’inzegneria, inta fixica, inta chimica, inte l’informatica e inte l’econòmia.
A traduçion in ingleise do testo a l’é:
Computational algorithms for finding the solutions are an important part of numerical linear algebra, and play a prominent role in engineering, physics, chemistry, computer science, and economics.
Quæ a l’é a traduçion ingleise de sto testo?
Pe de soluçioin inte un dominio integrale comme l’anello di numei intreghi, ò inte de atre struttue algebriche, l’é stæto sviluppou de atre teorie (s’ammie Equaçion lineare in sce un anello).
A traduçion in ingleise do testo a l’é:
For solutions in an integral domain like the ring of the integers, or in other algebraic structures, other theories have been developed, see Linear equation over a ring.
Traduxi da-o zeneise à l’ingleise:
Sto fæto o perette de deuviâ tutto o lenguaggio e a teoria di spaçi vettoriali (ò, ciù in generale, di mòdoli).
A traduçion in ingleise do testo a l’é:
This allows all the language and theory of vector spaces (or more generally, modules) to be brought to bear.
Traduxi sto testo da-o ligure à l’ingleise:
Un scistema comme questo o l’é dito scistema indeterminou.
A traduçion in ingleise do testo a l’é:
Such a system is known as an underdetermined system.
Traduxi in lengua ingleise:
O segondo scistema o l’à unna scingola soluçion unica, saieiva à dî l’interseçion tra doe linie.
A traduçion in ingleise do testo a l’é:
The second system has a single unique solution, namely the intersection of the two lines.
Traduxi da-o zeneise à l’ingleise:
Doe chechesegge de ste equaçioin an unna soluçion scompartia.
A traduçion in ingleise do testo a l’é:
Any two of these equations have a common solution.
Traduxi da-o ligure à l’ingleise:
Un scistema d’equaçioin donde i loei a-a manciña en linearmente independenti o l’é delongo coerente.
A traduçion in ingleise do testo a l’é:
A system of equations whose left-hand sides are linearly independent is always consistent.
Ti peu tradue sto testo in ingleise?
Sto fæto o profuxe un scistema de equaçioin con unn’equaçion de meno e unn’incògnita de meno.
A traduçion in ingleise do testo a l’é:
This yields a system of equations with one fewer equation and one fewer unknown.
Traduxi da-o ligure à l’ingleise:
Tipo 3: Azzonze à unna riga un moltiplo scalare de unn’atra.
A traduçion in ingleise do testo a l’é:
Type 3: Add to one row a scalar multiple of another.
Traduxi da-o ligure à l’ingleise:
Pe fâ un exempio, i scistemi con unna matrixe definia poxitiva scimmetrica peuan vegnî resòlte doe vòtte ciù a-a lesta co-a decompoxiçion de Cholesky.
A traduçion in ingleise do testo a l’é:
For instance, systems with a symmetric positive definite matrix can be solved twice as fast with the Cholesky decomposition.
Traduxi in ingleise:
De spesso unna metodologia do tutto despægia a ven adottâ pe di scistemi assæ grendi, che in caxo conträio domandieivan tròppo tempo ò memöia.
A traduçion in ingleise do testo a l’é:
A completely different approach is often taken for very large systems, which would otherwise take too much time or memory.
Traduxi in lengua ingleise:
Questo o pòrta a-a classe di metodi iterativi.
A traduçion in ingleise do testo a l’é:
This leads to the class of iterative methods.
Ti peu tradue sto testo in ingleise?
In matematica unna seria a l’é, grosso modo, a descriçion de l’operaçion d’addiçion infinia de tante quantitæ, uña apreuvo à l’atra, fin à unna quantitæ determinâ.
A traduçion in ingleise do testo a l’é:
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
Traduxi in lengua ingleise:
A-o de là da seu recorrensa estrema inta matematica, e serie infinie en ben ben deuviæ ascì inte de atre discipliñe quantitative comme a fixica, l’informatica, a statistica e a finansa.
A traduçion in ingleise do testo a l’é:
In addition to their ubiquity in mathematics, infinite series are also widely used in other quantitative disciplines such as physics, computer science, statistics and finance.
Traduxi da-o ligure à l’ingleise:
O paradòsso de Zenon d’Achille e da trattugoa o l’ascciæisce sta propietæ contraintuitiva de somme infinie: Achille o core apreuvo à unna trattugoa, ma quande o razzonze a poxiçion de quest’urtima a-o comenso da corsa, a trattugoa a l’é arrivâ à unna segonda poxiçion; quande o razzonze ascì sta segonda poxiçion, a trattugoa a n’à razzonto unna tersa, e coscì avanti.
A traduçion in ingleise do testo a l’é:
Zeno's paradox of Achilles and the tortoise illustrates this counterintuitive property of infinite sums: Achilles runs after a tortoise, but when he reaches the position of the tortoise at the beginning of the race, the tortoise has reached a second position; when he reaches this second position, the tortoise is at a third position, and so on.
Quæ a l’é a traduçion ingleise de sto testo?
Sta spiegaçion a no preuva che a somma a fasse 2 (sciben ch’a l’é coscì), ma a prova che à segge a-o manco pægia a-o 2.
A traduçion in ingleise do testo a l’é:
This argument does not prove that the sum is equal to 2 (although it is), but it does prove that it is at most 2.
Traduxi da-o ligure à l’ingleise:
I test pe-a convergensa uniforma compendan o test M de Weierstrass, o test de convergensa uniforme de Abel, o test de Dini e o critëio de Cauchy.
A traduçion in ingleise do testo a l’é:
Tests for uniform convergence include the Weierstrass' M-test, Abel's uniform convergence test, Dini's test, and the Cauchy criterion.
Traduxi in lengua ingleise:
A convergensa a l’é uniforme in sce di sottinsemmi serræ e delimitæ (saieiva à dî compatti) de l’interno do disco de convergensa: saieiva à dî ch’a l’é uniformemente converzente in sce di insemmi compatti.
A traduçion in ingleise do testo a l’é:
The convergence is uniform on closed and bounded (that is, compact) subsets of the interior of the disc of convergence: to wit, it is uniformly convergent on compact sets.
Traduxi sto testo in ingleise:
A serie Hilbert-Poincaré a l’é unna serie formale de potensa ch’a se deuvia pe studiâ e algebre gradduæ.
A traduçion in ingleise do testo a l’é:
The Hilbert–Poincaré series is a formal power series used to study graded algebras.
Traduxi sto testo in ingleise:
Do secolo dïsette James Gregory o l’aiva travaggiou in sciô neuvo scistema deximâ in sce de serie infinie e o l’à pubricou tante serie de Maclaurin.
A traduçion in ingleise do testo a l’é:
In the 17th century, James Gregory worked in the new decimal system on infinite series and published several Maclaurin series.
Ti peu tradue sto testo in ingleise?
Cauchy (1821) o l’à inscistio in sce de preuve rigorose de convergensa; o l’à demostrou che se doe serie en converzente o seu produto o no ô l’é neçessäiamente, e con lê comensa a descoverta de critëi efficaçi.
A traduçion in ingleise do testo a l’é:
Cauchy (1821) insisted on strict tests of convergence; he showed that if two series are convergent their product is not necessarily so, and with him begins the discovery of effective criteria.
Traduxi sto testo da-o zeneise à l’ingleise:
Un metodo de sommabilitæ a l’é l’assegnaçion de un limite à un sottinsemme de l’insemme de serie diverzente ch’a l’estende correttamente a noçion clascica de convergensa.
A traduçion in ingleise do testo a l’é:
A summability method is such an assignment of a limit to a subset of the set of divergent series which properly extends the classical notion of convergence.
Traduxi in lengua ingleise:
I scensiæ indien an deuviou e formole fattoriæ fin a-o manco a-o secolo dozze.
A traduçion in ingleise do testo a l’é:
Indian scholars have been using factorial formulas since at least the 12th century.
Traduxi sto testo da-o zeneise à l’ingleise:
Inti lenguaggi fonçionali, de spesso a definiçion recorsciva a ven implementâ direttamente pe illustrâ de fonçioin ricorscive.
A traduçion in ingleise do testo a l’é:
In functional languages, the recursive definition is often implemented directly to illustrate recursive functions.
Traduxi sto testo da-o zeneise à l’ingleise:
De atre implementaçioin (comme di software pe computer, comme di programmi pe di feuggi de carcolo) de spesso peuan gestî di valoî ciù grendi.
A traduçion in ingleise do testo a l’é:
Other implementations (such as computer software such as spreadsheet programs) can often handle larger values.
Quæ a l’é a traduçion ingleise de sto testo?
No gh’é, relativamente parlando de soluçioin coscì sencie pe-i fattoriali; nisciuña combinaçion finia de somme, produti, potense, fonçioin esponençiale ò logaritmi a saià abasta pe esprimme ; ma l’é poscibile trovâ unna formola generale pe-i fattoriali pe mezo de strumenti comme integrali e limiti da-o carcolo.
A traduçion in ingleise do testo a l’é:
There are, relatively speaking, no such simple solutions for factorials; no finite combination of sums, products, powers, exponential functions, or logarithms will suffice to express ; but it is possible to find a general formula for factorials using tools such as integrals and limits from calculus.
Quæ a l’é a traduçion ingleise de sto testo?
I integrali di quæ emmo parlou finoua an da fâ con de fonçioin trascendentale, ma a fonçion gamma a nasce anche da di integrali de fonçioin algebriche pue.
A traduçion in ingleise do testo a l’é:
The integrals we have discussed so far involve transcendental functions, but the gamma function also arises from integrals of purely algebraic functions.
Traduxi sto testo in ingleise:
Piggiando i limiti, çerti produti raçionali con di fattoî infinii peuan vegnî valuæ anche in termini da fonçion gamma.
A traduçion in ingleise do testo a l’é:
By taking limits, certain rational products with infinitely many factors can be evaluated in terms of the gamma function as well.
Traduxi in lengua ingleise:
A seu stöia, documentâ mascime da Philip J. Davis inte un articolo ch’o gh’à asseguou o premio Nobel do 1963, a reflette tanti di sviluppi prinçipæ drento da matematica da-o secolo dixeutto.
A traduçion in ingleise do testo a l’é:
Its history, notably documented by Philip J. Davis in an article that won him the 1963 Chauvenet Prize, reflects many of the major developments within mathematics since the 18th century.
Traduxi da-o zeneise à l’ingleise:
Incangio de trovâ unna preuva speçializzâ pe tutte e formole, saieiva bon avei un metodo generale pe identificâ a fonçioin gamma.
A traduçion in ingleise do testo a l’é:
Instead of finding a specialized proof for each formula, it would be desirable to have a general method of identifying the gamma function.
Traduxi sto testo da-o ligure à l’ingleise:
À tutti i mòddi, a fonçion gamma a no pâ satisfâ nisciuña equaçion differençiale sencia.
A traduçion in ingleise do testo a l’é:
However, the gamma function does not appear to satisfy any simple differential equation.
Ti peu tradue sto testo in ingleise?
O teorema de Bohr-Mollerup o l’é utille perché l’é relativamente façile demostrâ a convescitæ logaritmica pe uña de varie formole deuviæ pe definî a fonçion gamma.
A traduçion in ingleise do testo a l’é:
The Bohr–Mollerup theorem is useful because it is relatively easy to prove logarithmic convexity for any of the different formulas used to define the gamma function.
Traduxi sto testo da-o ligure à l’ingleise:
Quande di anni ’50 i computer elettrònichi en stæti boin à produe de tabelle, l’é stæto pubricou varie tabelle esteise pe-a fonçion gamma complessa pe satisfâ a domanda, compreiso unna tabella accurâ fin à 12 giffre deximæ produta da-o U.S. National Bureau of Standards.
A traduçion in ingleise do testo a l’é:
As electronic computers became available for the production of tables in the 1950s, several extensive tables for the complex gamma function were published to meet the demand, including a table accurate to 12 decimal places from the U.S. National Bureau of Standards.
Traduxi sto testo da-o ligure à l’ingleise:
Inta sciensa, unna fòrmola a l’é unna mainea curta d’esprimme unn’informaçion à livello scimbòlico, comme inte unna fòrmola matematica ò chimica.
A traduçion in ingleise do testo a l’é:
In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula.
Traduxi sto testo da-o ligure à l’ingleise:
Inta matematica, unna fòrmola pe-o sòlito a fa referensa à unn’identitæ ch’a definisce l’egualiansa tra unn’esprescion matematica e unn’atra; e ciù importante son i teoremi da matematica.
A traduçion in ingleise do testo a l’é:
In mathematics, a formula generally refers to an identity which equates one mathematical expression to another, with the most important ones being mathematical theorems.
Traduxi sto testo da-o zeneise à l’ingleise:
Sta covençion, sciben che meno importante inte unna formula relativamente sencia, a scignifica che i studioxi da matematica peuan manipolâ ciù a-a lesta de formole ciù grende e complesse.
A traduçion in ingleise do testo a l’é:
This convention, while less important in a relatively simple formula, means that mathematicians can more quickly manipulate formulas which are larger and more complex.
Comm’à l’é a traduçion ingleise de sto testo?
Pe fâ un exempio, H2O a l’é a formola chimica de l’ægua, donde se dixe che tutte e seu molecole comprendan doî atomi d’idrògeno e un d’oscigeno.
A traduçion in ingleise do testo a l’é:
For example, H2O is the chemical formula for water, specifying that each molecule consists of two hydrogen (H) atoms and one oxygen (O) atom.
Traduxi in lengua ingleise:
Inte formole empiriche, ste proporçioin comensan con un elemento ciave e dapeu assegnan di numei d’atomi di atri elementi into compòsto (comme rappòrti à l’elemento ciave).
A traduçion in ingleise do testo a l’é:
In empirical formulas, these proportions begin with a key element and then assign numbers of atoms of the other elements in the compound—as ratios to the key element.
Traduxi sto testo in ingleise:
À tutte e mainee, çerte qualitæ de compòsti chimichi no peuan vegnî scrite comme formole empiriche che contëgnan solo di numei intreghi.
A traduçion in ingleise do testo a l’é:
Some types of ionic compounds, however, cannot be written as empirical formulas which contains only the whole numbers.
Traduxi in lengua ingleise:
Gh’é tante qualitæ de ste formole, compreiso quelle molecolare e condensæ.
A traduçion in ingleise do testo a l’é:
There are several types of these formulas, including molecular formulas and condensed formulas.
Comm’à l’é a traduçion ingleise de sto testo?
In origine e fonçioin ean l’idealizzaçion de unna unna quantitæ variabile a depende da unn’atra quantitæ.
A traduçion in ingleise do testo a l’é:
Functions were originally the idealization of how a varying quantity depends on another quantity.
Traduxi sto testo da-o ligure à l’ingleise:
Sta definiçioin de «grafico» a fa referensa à un insemme de cobbie d’oggetti.
A traduçion in ingleise do testo a l’é:
This definition of "graph" refers to a set of pairs of objects.
Traduxi in lengua ingleise:
Quande o dominio e o codominio son insemmi de numei reali, tutte e cobbie peuan vegnî pensæ comme e coordinæ cartexañe de un ponto in sciô cian.
A traduçion in ingleise do testo a l’é:
When the domain and the codomain are sets of real numbers, each such pair may be thought of as the Cartesian coordinates of a point in the plane.
Traduxi sto testo da-o ligure à l’ingleise:
Unna mappa a peu avei un insemme chesesegge comme codominio, mentre inte çerti contesti (tipicamente inti libbri ciù vegi) o codominio de unna fonçion o l’é speçificamente l’insemme di numei reali ò complesci.
A traduçion in ingleise do testo a l’é:
A map can have any set as its codomain, while, in some contexts, typically in older books, the codomain of a function is specifically the set of real or complex numbers.
Traduxi sto testo in ingleise:
Un atro exempio commun a l’é a fonçion d’errô.
A traduçion in ingleise do testo a l’é:
Another common example is the error function.
Comm’à l’é a traduçion ingleise de sto testo?
Dapeu se peu deuviâ a serie de potensa pe allargâ o dominio da fonçion.
A traduçion in ingleise do testo a l’é:
Then, the power series can be used to enlarge the domain of the function.
Ti peu tradue sto testo in ingleise?
De parte de questo peuan creâ un grafico ch’o representa (parte de) unna fonçion.
A traduçion in ingleise do testo a l’é:
Parts of this may create a plot that represents (parts of) the function.
Comm’à l’é a traduçion ingleise de sto testo?
Sta chì a l’é a fattorizzaçion canònica de .
A traduçion in ingleise do testo a l’é:
This is the canonical factorization of .
Traduxi in ingleise:
À quelli tempi se consciderava solo de fonçioin con di valoî reali de unna variabile, e se supponeiva che tutte e fonçioin fïsan lisce.
A traduçion in ingleise do testo a l’é:
At that time, only real-valued functions of a real variable were considered, and all functions were assumed to be smooth.
Traduxi da-o zeneise à l’ingleise:
E fonçioin oua se deuvian inte tutti i campi da matematica.
A traduçion in ingleise do testo a l’é:
Functions are now used throughout all areas of mathematics.
Traduxi sto testo da-o zeneise à l’ingleise:
Coscì l’é comme se definisce e fonçioin trigonometriche inverse in termini de fonçion trigonometriche, donde e fonçioin trigonometriche en monòtone.
A traduçion in ingleise do testo a l’é:
This is how inverse trigonometric functions are defined in terms of trigonometric functions, where the trigonometric functions are monotonic.
Quæ a l’é a traduçion ingleise de sto testo?
L’utilitæ do conçetto de fonçioin con ciù valoî a l’é ciù ciæa se se conscidera de fonçioin complesse, che son de fonçioin tipicamente analitiche.
A traduçion in ingleise do testo a l’é:
Usefulness of the concept of multi-valued functions is clearer when considering complex functions, typically analytic functions.
Traduxi sto testo da-o ligure à l’ingleise:
Sta fonçion a l’é ciammâ valô prinçipâ da fonçion.
A traduçion in ingleise do testo a l’é:
Such a function is called the principal value of the function.
Traduxi in lengua ingleise:
A programmaçion fonçionale a l’é o paradigma de programmaçion ch’o consciste inta costruçion de programmi co-o deuviâ solo de subroutine che se compòrtan comme fonçioin matematiche.
A traduçion in ingleise do testo a l’é:
Functional programming is the programming paradigm consisting of building programs by using only subroutines that behave like mathematical functions.
Traduxi sto testo in ingleise:
Feua che pe-a terminologia do lenguaggio informatico, anche pe-e sciense che deuvian o computer «fonçion» a l’à o mæximo scignificato che inta matematica.
A traduçion in ingleise do testo a l’é:
Except for computer-language terminology, "function" has the usual mathematical meaning in computer science.
Traduxi in lengua ingleise:
I termini vëgnan manipolæ atraverso çerte regole (l’equivalensa, a reduçion e a converscion), che son i assiömi da teoria e peuan vegnî interpretæ comme regole de carcolo.
A traduçion in ingleise do testo a l’é:
Terms are manipulated through some rules, (the -equivalence, the -reduction, and the -conversion), which are the axioms of the theory and may be interpreted as rules of computation.
Traduxi sto testo in ingleise:
Nicolas Chuquet o l’à deuviou unna forma de nottaçion esponençiale do secolo chinze, che dapeu a l’é stæta deuviâ da Henricus Grammateus e Michael Stifel do secolo sezze.
A traduçion in ingleise do testo a l’é:
Nicolas Chuquet used a form of exponential notation in the 15th century, which was later used by Henricus Grammateus and Michael Stifel in the 16th century.