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PhD dissertation
License: Other
I don't know what this means.
I don't know what this means.
This has been rephrased in commit ca2a8a6.
Strunk & White doesn't suggest capitalization after a colon, so I'm leaving this as is.
I have added some explanatory sentences in commit 73f687d.
I know, but I'm not sure how to fix this.
I have added an analysis of the efficiency of the algorithm in commit e4b3f72.
I'm not sure what this is asking.
Added that graph powering is a generalization of transitive closure in commit 455d9cc.
I have added quantifiers for these constants in commit 5c0902d.
I have named the researchers in commit e3846bd.
Incorporated abbreviation into definition in commit 93638ff.
Fixed in commit 8a951ef.
Adds an explanatory sentence explaining that the proof is in the preceding paragraph in commit 3f1a498.
Cool.
Replaced confusing quantification with English in commit b1889d8.
One direction of this was actually false. I have removed the offending direction of the biconditional in commit 685c9a1. Fortunately, it did not affect the results in the section. I have also noted explicitly that this proposition is new and potentially interesting in commit e260884.
Not sure what you wanted here, but I added a concluding sentence and restated the theorem proven in this section in commit 408ad2a.
It seems silly to refactor such a small amount of repeated info from each chapter into its own little section. But I can do it if you think it's better.
No, y is a candidate solution, not an instance of the problem.
I can't read what this says.
I don't know what this means.
I have added a single sentence that states that APX, etc., are our guides when defining ApxNCO, etc. in commit 474af06.
The challenge is I don't how to do it.
These were not defined earlier, should I mention that it is just another type of approximation-preserving reduction?
See comment about repeated definitions in my response to the comment on page 25 above.
I'm not sure where exactly you'd like me to say that.
Fine, removed the extra sentence in commit 20e151d.
I used the plural here because it is a family of classes, one for each number d, but I don't care too much about this so I have changed it in commit 4598d57.
I'm not sure what to do about this.
This is fixed in commit 198682f.
I can't read what this says.
This is fixed in commit 65901c1.
This is fixed in commit a92e6f5.
This is fixed in commit 8e7387b.
I have removed the word "silly" in commit 00a374d.
I state that this class is new both at the definition in the introduction to this section.
Added reference to a similar function in GAP in commit cc03ab3.
This is fixed in commit a5340ab.
No, this sentence is correct as is.
What you would call the "conclusion" is part of the "Introduction" section of each chapter. I am confident that this is the best way to present the motivation, findings, and the "so what". (The conclusion is the most important information, so it should be first.) So for the "conclusion", look in the second half of the introduction section in each chapter. For the conclusion of the whole thesis, look in the second half of the "Introduction" chapter.
The dissertation writer's guide is not very specific but these are the only things it says are explicitly required. Here is the relevant section of the guide.
Both doctoral and master’s degree candidates must include a vita in their work.
The vita is a short description of your professional life up to the point of being
awarded your degree. The vita may be written in CV, résumé, or narrative
format. Include the following basic information: your full name, your year of
birth (not your birth date), and a contact address (e.g., your department) where
you expect you can be reached for at least the next 1-‐‐2 years. A vita may also
include (but is not limited to) prior education, degrees, awards or honors,
professional positions held, and publications. Please try to limit the vita to three
of four pages.
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