finite automata – Regular language is closed given transposition of rightmost character to leftmost

This answer assumes that the transposed language never contains the empty string.

Let $L$ be a regular language, say accepted by a DFA with states $Q$, initial state $q_0$, accepting states $F$, and transition function $delta$.

We construct a new DFA with states $Q’ = q’_0 cup (Q times Sigma)$. The initial state of the new DFA is $q’_0$. The transition function is defined as follows: $delta'(q’_0,sigma) = (q_0,sigma)$, and $delta'((q,sigma),tau) = (delta(q,tau),sigma)$. Finally, the set of accepting states $F’$ contains all states $(q,sigma)$ such that $delta(q,sigma) in F$.

The new DFA reads the first symbol $sigma$ and remembers it. It then simulates the original DFA, accepting a word if adding $sigma$ would result in the original DFA accepting it.

Abstract Algebra True or False [closed]

Hope you are all well,

Im posting this on behalf of a friend and her first language is not english, i will relay any help given to her however im not familiar with the math formulas and terms, however she can comprehend the math side of it, and anything she needs help understanding i will do my best to assist.

Below she has provided images of her answers and working out, she would like confirmation for her given answers and the working out, there are 8 questions in total.

question 7 Img

Also, if you could be kind enough to help on the following question also which she is struggling with.

Question 8 Img

Any Help on this would be greatly appreciated!
Many Thanks In Advance! | Thread temporarily closed | Proxies-free

Thread has been temporarily closed, discussion thread can be found here.

ProStream announcement on hack can be found here.

Management (Bader’s) announcement pending.

GoUnlimited featured on TorrentFreak & tarnkappe, what next? Other articles here.


The GO Unlimited service, which may be known by the name of many of you, is one of the oldest services specialized in the field of video hosting. The goal of the service has always been to ensure the provision of a secure and stable platform for its long-term partners, in addition to providing features and characteristics commensurate with their aspirations and of course renewed development in order to ensure keeping pace with industry requirements.

GO Unlimited, 2020

In the year 2020, we seek to transfer the service from the field of traditional video hosting to integrated solutions in this field, by providing advanced tools, some of which were not previously proposed or used in this field, in order to keep pace with the development contained in this industry and its requirements.


Our Goal

Our primary goal is to ensure the long-term stability of the platform and the stability of the services the tools it provides to its partners. We work in GO Unlimited on the basis of long-term plans and not short so as to ensure the opportunity to work for many years and successfully meets the aspirations and aspirations of our partners.

Our work since 2016 and our accomplishments are evidence of this goal that we seek. We will always continue to work on this goal.​

If you have any suggestions, or inquiries, we will always be glad to hear.

nikon – Recovering a video file that was never closed properly?

The situation has happened a few times now. My Camera a Nikon d5600 will occasionally give me a message about the battery not being being a Nikon battery and shut down the power. (It is an OEM Nikon battery) and another time when I was plugged in with the camera and accidentally pulled the plug. Anyway power went off in the middle of shooting a time lapse and the file was lost.

So I have looked around at recovery software and it seems all the stuff I can find is for recovering deleted files. While there maybe something that works to recover a file that was not deleted but not saved properly, I cannot find it with the free stuff. I don’t mind paying for software but it is not clear if the software will work in my situation and I don’t want to put cash out for a none solution. If you have been able to recover a file in this kind of situation I would appreciate knowing the software you used. I hate to be picky about an answer but if you have not actually had and fixed this particular problem you might be mudding the solution with conjecture.