A simplified expression for the solution of cubic polynomial equations using function evaluation
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This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.Keywords:
Cubic function
Expression (computer science)
In China,the farmers' interests expression appertains essentially to the passive one to protect their rights and interest.The potential danger exists in the action of expression with a non-institutionalized trend at the beginning,and the increasing feeling of farmers' mutual deprivation and the individualization of interests expression exacerbate this sort of tension;the invalidity of institutionalized expression is the direct reason for the farmers tending to non-institutionalized interests expression;the relative efficiency of non-institutionalized expression is the psychological basis for the farmers proceeding non-institutionalized expression.This paper points out the reasons mentioned above result in the matter of non-institutionalized interests expression for many farmers.
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Expression (computer science)
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Although language is the most important expression tool of human beings,it has expression limitation.This article,firstly,defines the meaning of expression limitation.Secondly,it analyzes the reasons which have caused the limitation of language expression.They are the characteristics of language and the content that human beings try to express in language.Eventually,the article points out that,in macroscopic aspect,the limitation of language expression is unable to be overcome;while in microscopic aspect,it can be overcome to some extent by individual.
Expression (computer science)
Human language
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There has recently been neglected instruction of techniques in expression movement from the viewpoints of respect for individuality influenced by educational reform and importance of expression inherent in child body. But techniques of expression and its contents (inherent feeling) are mutually dependent.Therefore, the purpose of this study is to reconsider the relationship between the two through examining keyword of “NARIKIRU” in expression movement in order to clarify subject of dance education. “NARIKIRU” is the process of self-expression. Self-expression has the following three stages: “expression”→“representation”→“art”. “NARIKIRU” includes “expression stage” and “representation stage”. To reconsider boundary of the two from the viewpoints of forms of dance culture leads to one of main subject of dance education, i. e. improvement of child's “expression ability”.
Expression (computer science)
Viewpoints
Representation
Dance education
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This paper presents a simplified method of expressing the solution to cubic equations in terms of function evaluation only. The method eliminates the need to manipulate the original coefficients of the cubic polynomial and makes the solution free from such coefficients. In addition, the usual substitution needed to reduce the cubic equation is implicit in that the final solution is expressed in terms only of the function and derivative values of the given cubic polynomial at a single point. The proposed methodology simplifies the solution to cubic equations making them easy to remember and solve.
Cubic function
Expression (computer science)
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Cubic function
Cubic crystal system
Flory–Huggins solution theory
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The concept of expression in the arts is Janus-faced. On the one hand expression is an author-centered notion: many Romantic poets, painters, and musicians thought of themselves as pouring our or ex-pressing their own emotions in their artworks. And on the other hand, expression is an audience-centered notion, the communication of what is expressed by an author to members of an audience. Typically the word “expression” is used for the author-centered aspect of expression as a whole, and the word “expressiveness” is used for the audience-centered aspect, and I shall keep to this usage. In this paper I shall argue that although expression is closely related to expressiveness, the two concepts are distinct and, in particular, expressiveness cannot be analyzed in terms of expression, as has been recently suggested by Stephen Davies and Jerrold Levinson. Nonetheless, the richest examples of expression in the arts involve both expression and expressiveness.
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Romance
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In this paper, we derive the explicit formulas for computing the zeros of certain cubic quaternionic polynomial. From these, we obtain a necessary and sufficient condition to quaternionic cubic polynomial have a spherical zero, and some examples are also provided. Moreover, we will discuss some applications of the cubic quaternionic formulas. Copyright © 2017 John Wiley & Sons, Ltd.
Cubic function
Zero (linguistics)
Cubic form
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The paper gives you the stories from after-impression represented by Paul cezanne to the abstract expresionism represented by wassily kandinsky. It introduces the transition from “feeling expression” to “the spirit expression”.It represents the most important function of “the expression” to the western expression drawing.
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Frank expression is a common way of expression. This paper defines frank expression as a speech act, and studies its function from the perspective of interaction. According to the analysis of corpus, Chinese frank expression can be used for positive expression, negative expression and zero degree expression. In positive expression, frank expression is used to enhance sincerity. In the negative expression, confession is used to reduce the degree of face threat or prompt threat. In the zero degree expression, the frank expression is used to enhance credibility. In addition, the function of frank expression is intersecting.
Expression (computer science)
Sincerity
Degree (music)
Confession (law)
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