Can I ever get my data back? HELP

About 2 weeks ago I was doing a decryption to a partition on an External HDD.. – encryption type:(Bitlocker Encryption). But Unfortunately my laptop had shut down during the operation. since then I have tried opening it using every way I know for painstaking 14 days. I have contacted Microsoft Customer Service,Which wasn’t helpful at all! and sent me a provoking replay about I should have backed it up! despite that the Bitlocker is a Microsoft service! Is it possible to turn it back? and how this data is my work for 20 years.

Healthy Garcinia Cambogia Pro :Burn Fat Faster Than Ever

Healthy Garcinia Cambogia Pro nutritional make-up which enhances the digestion paintings and make-up the fats lower thru ketosis. Ketosis is the compound reaction which occurs within the body to alternate over the fats and sugars into power. it is completely okay for the consumer and does not harmfully have an effect on the health. It diminishes the hunger and manage over the nourishment longings…

Healthy Garcinia Cambogia Pro :Burn Fat Faster Than Ever

My first ever application for visa got denied under section 214(b)

I am doing my 1st year Master’s degree in Biotechnology. I got selected in Khorana Program for Scholars conducted by Indo-U.S. Science and technology forum to do 3months internship at a U.S. University. I have enough reasons to come back india as I have to complete my Master’s degree after returning so that I can apply for higher studies. There was a personal fund mentioned in my DS-2019 that is to be provided my U.S. mentor as scholarship. I explained this in interview. I didn’t got any question or asked for any document to show my tie to home country although I bought everything with me. What should I do next time to avoid visa rejection? Should I have provided them all documents even if they didn’t ask for it? Kindly help me out

Does the Gauss sum attached to $\chi$ ever belong to $\mathbb{Q}(\chi)$?

Let $ p$ be a prime number and $ \chi$ be a primitive Dirichlet character of conductor $ p$ . We let $ $ g(\chi)=\sum_{a=1}^{p}{\chi(a)e^{2i\pi a/p}}$ $ be the Gauss sum attached to $ \chi$ . Is this known that $ g(\chi)$ does not belong to $ \mathbb{Q}(\chi)$ , the algebraic extension of $ \mathbb{Q}$ generated by the values of $ \chi$ ?

Many thanks!

Is McCarthy Formalism first ever formalism for defining functions recursively in computer science?

McCarthy formalism is a formalism for defining functions recursively, first introduced in classic paper Recursive Functions of Symbolic Expressions and Their Computation by Machine, Part I (1960).

From Wikipedia:

In his 1967 Computation: Finite and Infinite Machines, Marvin Minsky in his § 10.6 Conditional Expressions: The McCarthy Formalism describes the “formalism” as follows:

“Practical computer languages do not lend themselves to formal mathematical treatment–they are not designed to make it easy to prove theorems about the procedures they describe. In a paper by McCarthy [1963] we find a formalism that enhances the practical aspect of the recursive-function concept, while preserving and improving its mathematical clarity.

McCarthy introduces “conditional expressions” of the form f = (if p1 then e1 else e2) where the ei are expressions and p1 is a statement (or equation) that may be true or false. This expression means: See if p1 is true; if so the value of f is given by e1. IF p1 is false, the value of f is given by e2. […]

The McCarthy formalism is like the general recursive (Kleene) system, in being based on some basic functions, composition, and equality, but with the conditional expression alone replacing both the primitive-recursive scheme and the minimization operator.” (Minsky 1967:192-193)

I’m interested in chronology. Was there any other formalism regarding recursive function before McCarthy Formalism?

[ Politics ] Open Question : What do Democrats think impeaching the President is going to do? Bill Clinton was the third president ever impeached and he s idolized.?

Although proceedings were delayed due to the bombing of Iraq, on the passage of H. Res. 611, Clinton was impeached on December 19, 1998, by the House of Representatives on grounds of perjury to a grand jury (by a 228–206 vote)[17] and obstruction of justice (by a 221–212 vote).[18] Two other articles of impeachment failed – a second count of perjury in the Jones case (by a 205–229 vote)[19] and one accusing Clinton of abuse of power (by a 148–285 vote).[20] Clinton was the third sitting president against whom the House of Representatives initiated impeachment proceedings since 1789. Besides angering 50% of the voters and getting nothing productive done, what’s do they hope to accomplish?

Windows 10 User Profile name – is it ever visible outside network or on internet?

Taking this to the extreme just to make it clear, what if I named a Local Windows 10 user name the user’s social security number, or full name. NOT DEALING WITH A HACKER WHO COMPLETELY TAKES OVER THE SYSTEM, just regular usage, internet browsing, sharing folders locally on the local network, is there any situation where the local windows user name is EXPOSED ON THE INTERNET? I have searched and searched and cannot find an answer to this question. I have noticed that a Music Share on the local network does show the full user name on the other computers. Does this also reveal on the internet under any circumstances? Again, no hacking, just normal usage.

Windows 10 User Profile name – is it ever visible outside network or on internet?

Taking this to the extreme just to make it clear, what if I named a Local Windows 10 user name the user’s social security number, or full name. NOT DEALING WITH A HACKER WHO COMPLETELY TAKES OVER THE SYSTEM, just regular usage, internet browsing, sharing folders locally on the local network, is there any situation where the local windows user name is EXPOSED ON THE INTERNET? I have searched and searched and cannot find an answer to this question. I have noticed that a Music Share on the local network does show the full user name on the other computers. Does this also reveal on the internet under any circumstances? Again, no hacking, just normal usage.

Has the Isbell–Freyd criterion ever been used to check that a category is concretisable?

Isbell gave, in Two set-theoretic theorems in categories (1964), a necessary criterion for categories to be concretisable (i.e. to admit some faithful functor into sets). Freyd, in Concreteness (1973), showed that Isbell’s criterion is also sufficient.

My question is: Has anyone ever used Isbell’s criterion to check that a category is concretisable?

I’m interested not only in seeing the theorem is formally invoked in print, to show some category is concretisable — though of course that would be a perfect answer, if it’s happened. What I’m also interested in, and suspect is more likely to have occurred, is if anyone’s found the criterion useful as a heuristic for checking whether a category is concretisable, in a situation where one wants it to be concrete but finding a suitable functor is not totally trivial. (I’m imagining a situation similar to the adjoint functor theorems: they give very useful quick heuristics for guessing whether adjoints exist, but if they suggest an adjoint does exist, usually there’s an explicit construction as well, so they’re used as heuristics much more often than they’re formally invoked in print.)

What I’m not so interested in is uses of the criterion to confirm that an expected non-concretisable category is indeed non-concretisable — I’m after cases where it’s used in expectation of a positive answer.