| 词汇 | example_english_quadratic-equation |
| 释义 | Examples of quadratic equationThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. The joint motion is curve fitted into a quadraticequation by using three data points: the current value and two previous values. By solving the quadraticequation of the models, the turning points of the deforestation/income relationship can be found. But even the solution of a quadraticequation is not necessary. There are three basic shapes of a quadraticequation: linear, concave, and convex. Using the quadraticequation, a prediction is made as to how much time would elapse before a limit is reached. Then (6.20) becomes a quadraticequation for (r). The quadraticequation, however, can be efficiently solved on a computer. Alternatively, example (34) is best understood in the context of the solution of the quadraticequation below. However, where the cubic term is not statistically significant (at 90 per cent confidence level) a quadraticequation is estimated. This can be substituted into the quadraticequation defining the group. The quadraticequation can teach us to be humble. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 A quadraticequation is not like a bleak room, devoid of furniture, in which one is asked to squat. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 One way of looking at the quadraticequation might be to say that it is the pons asinorum of modern science. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 He cited the quadraticequation as an example of the sort of irrelevant topic that pupils study. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 One finishes up with a quadraticequation to which there is no solution. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Someone who thinks that the quadraticequation is an empty manipulation, devoid of any other significance, is someone who is content with leaving the many in ignorance. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Most drivers would feel capable of working out whether they can overtake the car in front, but do they realise that they are solving a quadraticequation in doing so? From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 If the quadratic function is set equal to zero, then the result is a quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The third formula shown is the result of solving for "a" the quadraticequation 0. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Unlike some other solution methods such as factoring, the quadratic formula can be used to solve any quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are also artifacts demonstrating their own methodology for solving equations like the quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. One can verify that the quadratic formula satisfies the quadraticequation, by inserting the former into the latter. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. One solution was all he looked for in a quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The geometrical methods of ruler and compass may be used to solve any linear or quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is a quadraticequation which we can solve. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From the fraction itself, one can construct the quadraticequation with integral coefficients that "x" must satisfy. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A general solution to any quadraticequation can be given using the quadratic formula above. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Because satisfies this quadraticequation, the required polynomials can be limited to degree one. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Because the quadraticequation involves only one unknown, it is called univariate. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There is another way to solve the general quadraticequation. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Since this is an ordinary quadraticequation in 1 unknown, we can apply the standard quadratic solution formula. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. With some assumptions, a quadraticequation that approximates the solution for the latter is then obtained. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are other ways to solve the quadraticequation instead of using the quadratic formula, such as factoring, completing the square, or graphing. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A quadratic form (not quadraticequation) is any polynomial in which each term has variables appearing exactly twice. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This simplification yields a simple quadraticequation for the oxide thickness. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Defining the problem in the space of planar quaternions results in a definition of the parallel manipulator workspace as the intersection of quadratic equations. The two subtleties in the above analysis are that the resulting point is a quadraticequation (not a linear equation), and that the constraints are independent. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is also necessary to solve the quadraticequation modulo small powers of "p" in order to recognise numbers divisible by the square of a factor-base prime. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In the vast majority of cases, the equation to be solved when using an implicit scheme is much more complicated than a quadraticequation, and no analytical solution exists. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It presupposes the fundamental techniques for transforming an equation, together with insights permitting the solution of quadratic equations. The consideration of the quadratic equations for the portion of the workspace parallel to the fixed frame produces annular regions. One contribution of this work is demonstrating that these constraints can be captured using only linear inequalities, even though the most straightforward way of representing them uses quadratic equations. In these quadratic equations, the three input angles have been decoupled, yielding an inverse kinematic solution to the values of the input angles that correspond to a given orientation. The 16-year-old thought that quadratic equations were logical and fairly straightforward because "you substitute stuff into a formula". From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 How do quadratic equations relate to all that? From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 The engineer said that he did not use quadratic equations now, but had in the past in detailed design applications. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Quadratic equations allow us to analyse the relationships between variable quantities, and they are the tool for understanding variable rates of change. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Quadratic equations, with their more complex parabolic curves, are taught from late key stage 3 or key stage 4. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 The place of quadratic equations in everyday life is pretty clear, but what are pupils taught at school? From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Why should anyone try to understand quadratic equations and the principles that lie behind solving them? From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Siren voices still aver that many cannot cope with quadratic equations and similar structures, and with the worlds that they unlock. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 I have two further observations on quadratic equations. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 Those who tell us that we need no familiarity with quadratic equations are telling us to ignore 400 years of intellectual, scientific and technological development. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 It is in variable rates of change that quadratic equations are seen in economics, science and engineering. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 In conclusion, the teaching of quadratic equations, and of the mathematics curriculum overall, is key to a future work force that can develop and use mathematical models in daily life. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 It is within this context that we may understand the development of means of solving quadratic equations by the aid of trigonometric substitution. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The tablets also include multiplication tables and methods for solving linear and quadratic equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He formulated the rules of inheritance as linear equations, hence his knowledge of quadratic equations was not required. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Quadratic equations can also be solved using factorization (the reverse process of which is expansion, but for two linear terms is sometimes denoted foiling). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In general pure spinors may be separated from impure spinors via a series of quadratic equations called pure spinor constraints. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For instance, factoring quadratic equations in elementary algebra is something that requires extensive practice. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Algebra is derived from "al-jabr", one of the two operations he used to solve quadratic equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. We do not use the standard formula for solving quadratic equations because that may lead to loss of significance. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is therefore the parent function of the family of quadratic equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Students learned to solve quadratic equations by factoring, completing the square, and applying the quadratic formula. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It was able to, for example, solve quadratic equations symbolically. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. He solved linear and quadratic equations without algebraic symbolism, negative numbers or zero, thus he has to distinguish several types of equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It is straightforward to show from analytic geometry that constructible lengths must come from base lengths by the solution of some sequence of quadratic equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Quadratic equations can be solved by factoring, by completing the square, by using the quadratic formula, or by graphing. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. They will also learn how to solve systems of equations, as well as how to simplify exponents, quadratic equations, exponential functions, polynomials, radicals, and rational expressions. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The amount of effort involved in solving quadratic equations using this mixed trigonometric and logarithmic table look-up strategy was two-thirds the effort using logarithmic tables alone. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Graduating from phantoms based on simple quadratic equations to voxelized phantoms, which were based on actual medical images of the human body, was a major step. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. For most students, factoring by inspection is the first method of solving quadratic equations to which they are exposed. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Stifel was the first, who had a standard method to solve quadratic equations. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. All quadratic equations will have two solutions in the complex number system, but need not have any in the real number system. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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