What is the integration by partial fractions?

<正>1.What a rational function?Do you remember what a polynomial function is?If you know a function of the form is a form as following f(x)=anxn+an-ixn-1+...+a1x+a0,where an,an-i,...a1,a0are real numbers and nis nonnegative integer.The domain of a polynomial function is the set of all real numbers.But here are some func-     

What is the integration by partial fractions？

1.What a rational function？
Do you remember what a polynomial function is？If you know a function of the form is a form as following f（x）=anxn＋an-ixn-1＋...＋a1x＋a0,where an,an-i,...a1,a0are real numbers and nis nonnegative integer.The domain of a polynomial function is the set of all real numbers.But here are some     

Moral responsibility—What is all the fuss about?

Examination of several accounts regarding the nature of moral responsibility allows the extraction of a conceptual core common to all of them. Relying on that core conception of moral responsibility, the paper explores what human life without moral responsibility would be like. That exploration establishes that many robust forms of human relationship and nonmoral normativity could continue, absent moral responsibility, even if moral responsibility were abandoned on incompatibilist grounds. Much more importantly, it also establishes, contra Waller and Pereboom, that only some forms of morality—so-called “behavioral” forms—remain possible without moral responsibility. The paper argues that normative moral approaches that take into account agent intentions in order to assess the moral status of action cannot be applied without moral responsibility of agents. Thus, morality without responsibility needs to be behavioral, not consequentialist, as has often been thought.     

What is continuity?

A continuous process is a person who draws the curve without a break,or,takes place gradually without interruption. Those are a daily language in continuity. However,in calculus,we notice that the limit of a function as x approaches a can often be found simply by calculating the value of the function at a. It means a continuous function     

What is quasiconvex analysis?

We endeavour to answer the question of the title, or rather the question of how much one can extend convex analysis to a wider framework in which some convexity features remain. Subdifferential calculus and duality are the main directions we consider     

What is a Graph?

In the past few years, the subject of graph theory (or network analysis) has come very much to the fore, not only as an important mathematical discipline in its own right, but also as a useful mathematical tool in a wide variety of subjects, ranging from organic chemistry and probability, through operational research and geography, to sociology and linguistics. In this article, we shall present some simple applications of graph theory, chosen in such a way as to be as elementary but as varied as possible. The reader who is interested in pursuing the subject further should consult Reference 1; for a lengthy account of some further applications of graph theory, see Chapter six of Reference 2.     

What is Inductive Reasoning?

As a child you learned by experimenting with the natural world about you．You learned how to walk．talk,and hold your spoon,all by trial and error．After many tries,you eventually learned how to ride your first bicycle,discovering it was easier to keep your bal- ance if you kept the bike moving．You learned by expe- rience that counterclockwise motion turns on a water faucet and a clockwise motion turns it off．Most of your learning has been by a process called inductive reasoning．     

Private equity firm experience and buyout vendor source: What is their impact on efficiency?

Using a dataset comprising 88 Private Equity (PE) backed Leveraged Buyouts (LBOs) completed and exited during the period 1999–2008, this study sheds new light on the impact of buyout vendor source and PE investor experience on post-buyout efficiency during the first 3 years after the transaction. There are three main findings. First, we observe increases in post-buyout efficiency over time, although LBOs from different vendor source differ in terms of post-transaction efficiency levels and improvement trajectories. Private and divisional buyouts are more efficient than the average. Divisional buyouts show higher efficiency improvements than private and secondary buyouts. Secondary buyouts remain below the average. Second, multivariate analyses suggest a positive and significant effect of PE firm experience on post-buyout efficiency. Finally, the observed efficiency patterns seem to be convex, suggesting the major improvements happen in the first 2 years after the transaction.     

What is an infinite sequence?

<正>Series will be introduced briefly in the following paper.It is important in calculus for Newton's idea of representing functions as sums of infinite series.In finding areas,he often integrated a function by expressing it as series.Now,we'll learn infinite sequences.     

What is the Substitution Rule?

When I learned the following basic formula of indefinite integrals in the calculus,at that time I was a teenager,the strange ideas had jump out my head.I would be a great girl in math if I can change all the ? in the following formula to the real functions     

What is reasoning in geometry?

The word "reasoning"is used in a very broad range of meanings. Any move, any trial and error , any procedure to solve a difficulty is often considered as a form of reasoning. More specifically any process which enables us to draw new information from given information is considered as "reasoning". In this way, induction, abduction and inference are various kinds of reasoning. From a cognitive point of view, there are different kinds of processes that depend on the form in which information is presented and also on the way information can be organized.     

What is the differential equation?

<正>An equation involving a derivative is called a differential equation.Such as,(dy)/(dx)=2x,and the function y=f(x)satisfies this equation.When we know the additional condition that y=2when x=-1,the function y=f(x)will be find exactly.The additional condition is called the initial condition.It is used to evaluate constant of integration.     

What is the integral test?

<正>In general,it is not easy to find the exact sum of a series.We could find geometric series with a simple formula for the n-th partial sum S_n.And we are also lucky can find the n-th partial sum S_n of the series ∞∑(n=1)1/(n(n+1)).     

What is on his mind?

We survey 19 questions and conjectures of Carsten Thomassen, most of which remain open.     

What is a Logic Translation?

We study logic translations from an abstract perspective, without any commitment to the structure of sentences and the nature of logical entailment, which also means that we cover both proof- theoretic and model-theoretic entailment. We show how logic translations induce notions of logical expressiveness, consistency strength and sublogic, leading to an explanation of paradoxes that have been described in the literature. Connectives and quantifiers, although not present in the definition of logic and logic translation, can be recovered by their abstract properties and are preserved and reflected by translations under suitable conditions. In memoriam Joseph Goguen