Field: Number Theory

 

We call a pair of prime numbers that have a difference of two “twin primes”.
Examples of twin primes include

(3, 5), (5, 7), (11, 13), (17, 19), . . . (2)

Are there an infinite number of twin prime pairs?
Writing this out in a mathy way. Define the set of twin primes to be
T = {(p, p + 2)|p, p + 2 are prime}. (3)
Is |T | infinite?
For this problem I would like you to write
1. A background section detailing in simple terms the field and necessary information to understand your results
2. A results section detailing in simple terms the prior proofs/experiments performed in the past
3. A summary section detailing potential consequences of a proof of this problem, and how it could impact a sector of computer science
These sections do not need to be long, as they are just so that I can sufficiently understand the following section. I do not have a minimum required length, however note that if you have each of these sections as one single sentence such that it appears you have only a surface level understanding on the material, I will grade accordingly. These three sections will be worth 50% of your final exam grade, and will be graded on how well you describe the material to me, as well as how well I believe you understand the material.

Next, I ask that you take the results and document the process of you “playing” with the results. Most research is gained through insight into other’s cut- ting edge research, and through new perspectives that the original researchers did not consider. Playing with the results can be, but are not limited to, any of the following
• Expanding on the results of a paper (better error bounds, considering different cases, etc.)
• Applying new research to a problem
• Using your class knowledge to look at a problem in a new way
• Applying techniques from another field to a problem

Numerically computing large amounts of examples will not be good enough this semester. For example if you are working on Twin Primes you cannot ust calculate the first 100 twin primes.

This section will be also 50% of your final exam grade, and will consist of how well you articulate your thought process while attempting to expand on the results of the paper. You can get negative results (ie the stuff you came up with failed / is uninteresting) but so long as I can tell you made a clear attempt to attack the problem in a way you found interesting, and legitimately tried, I will consider that sufficient.

Sample Solution

mama, Dollase, and Kan, 2010). The writers give a summary of the subjects tended to in resulting articles, like disruption, orientation distance, and subliminal feelings of dread. At long last, they emphasize that this classification is a dynamic, liquid field made for crowds of all sexual orientations and ages.

Primary concern
The central matter is that shōjo manga is considerably more than it shows up from the start to Western eyes. Albeit American media minimizes it as shallow romantic tales only made for high school female idealism, it is an imaginative, offensive kind that undermines type and orientation shows to convey strong messages to the people who feel estranged in current culture. This investigation of “otherness” can speak to anybody, not simply young ladies. Western media has unjustifiably misjudged Shōjo manga, and its imaginative elements have not been as expected recognized as of recently.

Sources
Since the writers’ motivation was to introduce a prologue to shōjo manga in a scholastic diary, most sources are composed academic works. The references are optional records since they intend to give an overall outline. Anthropological examination on Japanese culture is refered to, scholarly examinations of manga, and orientation and sexuality concentrates on in Asia. The main non-scholastic source is The New York Times, which was cited straightforwardly to outline the Western view of shōjo manga. True to form from the discipline of humanities, most of sources are composed optional scholarly texts.

Understanding Experience
This article was colossally agreeable and fascinating for me to peruse. Since this is intended to be a prologue to the subject, the composing style was entirely available. The contentions were convincingly introduced and supported with hard information and statements from experienced scholastics. Comparing the well known Western assessment on shōjo manga with a new grant gave significant setting and fascinated me to find out more. My one study would be that the creators didn’t completely make sense of what makes shōjo manga “undecided and dubious” (Aoyama, Dollase, and Kan, 2010, p. 5). The assertion was difficult to get a handle on with no particular models. In spite of this minor issue, my general perusing experience was extremely certain.

New Information
The article was intriguing as well as extremely instructive. I, right off the bat, was uninformed that the view of shōjo manga in Western media was shallow and one-sided or that comic books were for the most part male-overwhelmed circles. Besides, the imaginative and intrusive nature of shōjo manga depicted by scholastics was enlightening. Besides, I discovered that shōjo manga is famous with all ages and sexual orientations in Japan, with two times the quantity of young ladies’ magazines contrasted with young men’s manga. The article showed me the Western impression of manga, late grant on shōjo manga, and its ubiquity in Japan.

This question has been answered.

Get Answer
WeCreativez WhatsApp Support
Our customer support team is here to answer your questions. Ask us anything!
👋 Hi, Welcome to Compliant Papers.