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The rest of the paper is organized as follows. vs thus we get the following

The two phrases are not directly comparable as they serve different purposes. The first phrase is commonly used to outline the structure of a paper, while the second phrase is used to introduce a list of items or results. They are both correct in their respective contexts.

Last updated: March 08, 2024 • 3128 views

The rest of the paper is organized as follows.

This phrase is correct and commonly used in academic or formal writing to outline the structure of a paper.

This phrase is typically used in academic or formal writing to provide a roadmap of the sections or chapters that follow in a paper.

Examples:

  • The rest of the paper is organized as follows: Section 2 discusses the methodology, Section 3 presents the results, and Section 4 concludes with a discussion.
  • The rest of the report is organized as follows: an introduction, literature review, methodology, results, and conclusion.
  • The basic idea was similar in most papers with each paper trying to overcome the drawback in the other solutions. The rest of the paper is organized as follows.
  • The rest of the paper is organized as follows: First, we give an overview of the problem of search in. Internet's content came search engines and search.
  • The rest of the paper is organized as follows. In section II we introduce the environment. In section III we describe the architecture of the TIMW. In sections IV to VI ...
  • The rest of the paper is organized as follows. Section 2 looks at the related work and background of the algorithms used .In Section 3 we present the approaches.

Alternatives:

  • The paper is structured as follows.
  • The following sections outline the organization of the paper.
  • The paper is divided into the following sections.
  • The structure of the paper is as follows.
  • The paper is arranged in the following manner.

thus we get the following

This phrase is correct and is used to introduce a list of items or results that follow from a previous statement or argument.

This phrase is often used to transition from a discussion to a list of specific items or results that are derived from the preceding information.

Examples:

  • We have analyzed the data; thus we get the following results: A, B, and C.
  • The experiment was conducted in three phases; thus we get the following outcomes.
  • Thus, we get the following theorem. THEOREM 2. Let us suppose that A is a self- adjoint positive de- fined linear operator. If. (15). R, = al for 0 <a <2/Jlf , then the ...
  • Thus we get the following: Result 1.1. If f(x) is a continuous function on [a, b], then the arc length of the graph of f(x) between [a, b] is. ∫ b a √(1 + f(x)2)dx.
  • Thus we get the following: D( f g) = {x D( f ) D(g); f(x) > 0}. Similarly, differentiating f g means differentiating eln[f(x)] g(x). Using the chain rule and the product rule ...
  • Thus, we get the following matrix equation that is equivalent to (37): 1. 00005. 3 . fl-Jlfr oo. 11. 1. 13007: 1 5070 a 00001 000510 3 1/. 1|- ,2 III 4. 00010 3.

Alternatives:

  • Therefore, we have the following.
  • Consequently, we obtain the following.
  • Hence, the following is derived.
  • As a result, we have the following.
  • In this way, we arrive at the following.

Related Comparisons

got the following vs got a following Once we get the conclusion vs Once we got the conclusion I assume the followings vs I assume the following we are informing the following vs we are informing the followings have you got the permision vs have you get the permision once we get a confirmation vs once we get the confirmation

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