How to use quadratic in a sentence

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Sentence Examples Hippocrates' book also included geometrical solutions to quadratic equations and included early methods of integration. What they did develop was an algorithmic approach to solving problems which, in our terminology, would give rise to a quadratic equation. Bromwich also made useful contributions to quadratic and bilinear forms and many consider his algebraic work to be his finest. This estimate is between the linear and linear quadratic extrapolations from data on A bomb survivors. A design is given for a quadratic interpolator needed by the Logarithmic Number System. The local curvature could then be computed from the coefficients of this quadratic surface. Different treatments have considered a quadratic function, an exponential quadratic function, or a step function. His favourite topics in number theory included binary quadratic forms, quadratic residues, Gauss sums and Fermat quotients. D' Ovidio also included in these lectures results of Veronese on projective geometry and of Weierstrass on bilinear and quadratic forms. We next observe that the characteristic polynomial factors into the product of a quadratic polynomial and a monomial. With increasing quantiles, the quadratic coefficient became more negative, implying increased concavity of the inverted parabolic function. I learned about the complex plane at about the same time I learned of the quadratic formula. It also contains continued fractions, quadratic equations, sums of power series and a table of sines. Hermite had posed the problem of finding the minimal values of quadratic forms in n variables whose coefficients were real. Let us begin where we left off, with the quadratic curves known as the circle, ellipse, hyperbola and parabola. Find the 2 roots and a continued fraction for a root of these quadratic equations. He was able to use his methods to prove many results in the theory of quadratic forms and number theory. Smith also extended Gauss's theorem on real quadratic forms to complex quadratic forms. I've long since forgotten quadratic equations and how to calculate the circumference of a circle. Maschke's second area of work was on differential geometry in particular the theory of quadratic differential quantics. Show More Sentences In the quadratic map, very small changes to alpha make enormous changes on how the system behaves. This is a quadratic equation in a 3, so solve for a 3 using the usual formula for a quadratic. He gave bounds for the least quadratic residues modulo a prime, and for the least primitive root for a prime. He describes matrix multiplication and the inverse of a matrix in the particular context of the arrays of coefficients of quadratic forms. Books 1-3 contain linear or quadratic indeterminate equations, many of them simultaneous. The sections on equations cover quadratic equations where he discusses two solutions. He became interested in Artin's early work which was on quadratic number fields, in particular the analytic and arithmetic theory. In high school we are taught the quadratic formula which provides the roots of any quadratic equation in terms of radicals involving the coefficients of the equation. In this paper, climate simulations based on linear grids are compared with ones based on quadratic unaliased grids. Kharab Sayyar is a site fortified by a quadratic wall measuring about 650 m x 650 m and containing several features of an urban centre. The quadratic punches secure the bolts, which can be used on both sides, against rotation. What is also fascinating is that the different types of solution of the quadratic equation lead to quite different solutions of the differential equation. Orthogonal contrasts were used to test linear, quadratic, cubic, and quartic effects of proportions of SFGS in diet substrates on rate of fermentation. The curve is presented as a function of time in abscissa, and may take the form of a linear or quadratic association. With Davenport he showed that any real indefinite diagonal quadratic form, in 5 or more variables, takes arbitrarily small values for nonzero integral arguments. A quadratic, perforated cover is attached to all luminaire variations that complements the materiality and volumetric design of the towers. This number, the Golden Mean Long Leg, or GMLL, is used for its quadratic qualities of repeating when squared, proportionately. Then they can happily abandon the drill in long division and quadratic equations. In addition, in each case we also fit a quadratic trend to the entire sample of data. The analysis was also extended to include specifications with provincial linear, quadratic and cubic time trends. Show More Sentences Neutral voltage is evaluated by taking the quadratic mean of R. M. S. values sampled over a 10-minute period just like steady state voltage. Both the quadratic atrium of the office floors and the elliptical free space of the lower sales levels receive natural light through the roof. He also advanced the theory of bilinear and quadratic forms. This suggests that pollen viability corresponds more closely to the exponential quadratic model than to either the additive or the multiplicative model. As a teen, Randy had painted a submarine, an elevator door and the quadratic equation on the walls of his childhood bedroom. Eigenvalues and eigenvectors, inner product spaces, diagonalization and quadratic forms take up the middle of the book. Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions. In particular additive, quadratic, cubic and quartic functions are monomials of degree one, two, three and four respectively. Their topics include divisibility, polynomial congruences, quadratic reciprocity, the geometry of numbers, and algebraic integers. This account of algebra and quadratic and cubic equations is considered perhaps his most important contribution to mathematics. This finding is robust at all horizons from 1 month to 12 months and for a range of loss functions, including the quadratic and absolute loss functions. Standard deviation is derived from mean quadratic dispersion. An elective quadratic formula is available to reflect such asset reductions during the calculation of excess related-party indebtedness. Exponential functions change in different ways from quadratic functions, and are sometimes increasing and sometimes decreasing. Steady state voltage variations are evaluated by taking the quadratic mean of the R. M. S. value variations in relation to nominal voltage over 10-minute time integration intervals. To find the bounded area between two quadratic functions, we subtract one from the other to write the difference as. The above remains valid if one of the bounding functions is linear instead of quadratic. The pH of a solution containing a weak acid requires the solution of a quadratic equation. Last year, Worcester lost by 5 points because the team misread a question about a quadratic formula. I always start any discussion on education by asking if the person I am talking with knows the quadratic formula. Show More Sentences A value of examining this case is that the derivation requires the use of only elementary statistics and the quadratic formula. However, using the quadratic formula is only one example of population dynamics behaviour. It could have been anything from the quadratic formula to British comedy to French verbs to why anyone would ever eat meat loaf. The quadratic formula solution and the numerical solution are plotted together in Fig. A range of model specifications, such as examples inclusive of aggregate quadratic and cubic time trends, were considered at various stages in the analysis. The quadratic behaviour with the voltage can be linearized by applying an identical bias voltage to both high-voltage electrodes, and by superposing opposite control voltages on them. This is measly quadratic growth. Frank ScheelenEindhoven, The Netherlands. For unstructured search problems like the NP-complete problems this means that there is no exponential speed up but rather at most a quadratic speed up. Your assertions about D-Wave are equally specious. Just as the potential energy can be written as a quadratic form in the internal coordinates, so it can also be written in terms of generalized forces. To overcome this limitation, we propose to extend the linear assignment model to a quadratic one, for directed or undirected graphs having labelized nodes and edges. Let us now consider a generalization of the RQI method for homogeneous polynomial eigenvalue problem, where again we will use the quadratic eigenproblem as a role model. Gauss studied these sorts of numbers while attempting to formulate and prove higher order reciprocity laws, following his success with quadratic reciprocity. Given Lagrange's result, number theorists asked whether there are other such expressions, called quadratic forms, that also repre sent all positive integers. Many secondary mathematics teachers find it a challenge to teach factorisation of quadratic expressions to students who have weak foundations in algebra. The quadratic function varies essentially more strongly than the linear function, and, as a result, such a financial pilot wave induces a nontrivial financial force. Class period after class period, binomial theorems, quadratic equations, logarithmic functions and exponentials were among the mysteries I was ordered to understand. We end with a section on numerical experiments, where we also show that there does not exist a method that exhibits EBS for all quadratic polynomials. Examples from Classical Literature An advantage gained was that every quadratic equation, and not some quadratics only, could be spoken of as having two roots. Since the fraction is infinite it cannot be commensurable and therefore its value is a quadratic surd number. The tetrahedral or Reye complex is the simplest and best known of proper quadratic complexes. What does matter is thisI must ask you to tell me exactly why you wished me to work out that quadratic problem for you. She now began to read Euclids Elements, and proceeded in algebra as far as quadratic equations. All I ask is to live simply and sensibly, but instead of that my existence is transformed into a quadratic equation. When I looked down, I couldn't help but notice the crammed scribbles of quadratic equations on the opposite page. When I was a teenager I loved maths, and I used to do quadratic equations to calm myself down. A study of quadratics is important because a quadratic is the simplest non-linear function. The ordinary schoolboy would correctly treat this as a quadratic equation. He said India gave the world the concept of Zero, decimal system and solutions to the quadratic equation in algebra. It had never been determined if that order was quadratic, cubic or higher. For five weeks I crammed, until simultaneous quadratic equations and chemical formulas fairly oozed from my ears. I left school knowing how to do quadratic equations but not what APR meant. I love arithmetic and have been known to do quadratic equations to relax. Furthermore, it is admitted that never, never, in a million lifetimes, could Michael have demonstrated a proposition in Euclid or solved a quadratic equation. While other youngsters are sweating over quadratic equations in exams this summer, pupils at Holyhead School in Handsworth have already had a head start. Find more words! 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What is the opposite of quadratic? Words that rhyme with quadratic What is the plural of quadratic? What is the adverb for quadratic? What is the adjective for quadratic? What is the noun for quadratic? Use our Sentence Generator Nearby Words quadrate quadrat quadraphonic quadrants quadrantal quadrant quadratically quadratics quadratojugal quadrats quadrature quadratus 9-letter Words Starting With q qu qua quad quadr quadra quadrat quadrati