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How is it possible to fill a 2D NxN matrix in spiral form?
The 2D NxN matrix can be though of as 1D array of length N^2 to keep things simple. If not, you can get the 2D coordinates by x = pos / N, y = pos % N.// Constants const int N = 4, const int left = -1, right = 1, down = N, up = -N, int grid[N * N], // Get next clockwise direction int next(int dir) { switch (dir) { case left: return up, case up: return right, case right: return down, case down: return left, } } // Assumes default is all zero void fill(int grid[N*N]) { int pos = N-1, dir = right, for (int i = N * N, i 0, i--) { // Fill the block grid[pos] = i, if (pos == 0 || pos == N - 1 || pos == N*(N - 1) || pos == N*N - 1 || grid[pos + dir] != 0) { // if corner point reached or block already filled, change direction dir = next(dir), } // Move to next position pos += dir, } }
Are we living in a simulation?
Google Prof Nick Bostrom’s work on this question. It’s a possibility…Elon Musk recently stated that we could be in a simulation. He said think how realistic games are now and imagine how realistic they will be 10,000 years from now.[In other words, at some point it will probably be possible to create a simulation that is indistinguishable from reality. Of course the simulation can model any era, so although the technology might be developed in the year 12020, one of its simulations might be for our year 2022. It might even be that the technology belongs to an “alien” species, and our experiences of evolution are one of their experiments, studies, or leisure activities.]Peter Diamandis accepted that we’re probably living in a simulation, but so what. (We're in a Simulation - YouTube)A few physicists are even conducting experiments to see if this might be the case.So there is a group of professionals that consider it to be a real possibility.If you know anything about computer games, models and simulations you’ll know that they are an approximation. One of the reasons for this is so that a computer with finite processing ability can run the game, model or simulation. So what would we look for to prove we’re in a simulation? We’d look at the details and see if there were any approximations, or look to see if there was a point at which the simulation stopped simulating.When we look at some of the smallest objects in us and our universe (atoms) we find that strange things are happening. In science this behaviour is described by Quantum Mechanics. It turns out that very weird things happen at this level of detail. For example, particles don’t have specific values until they are “observed”. Before the observation they can be in a super-position of all possible states (or wave functions). This means that they can be doing paradoxical things - like being in all places at the same time! It’s only when they are observed that they take on a specific value, like a specific location and momentum.So in effect, we could argue that they don’t become defined until they are observed. Now that’s interesting because computer simulations in use today only render (define) objects that the user can see on the screen at a given point in time.So here’s something for you to ponder• Is the interpretation of quantum mechanics the following?We are living in a simulation.(Perhaps)
Human Brain: Would scientists be able to invent a machine to upload specialized knowledge directly into the brain, and when that happens, would it render the current education system obsolete?
We have had tools for doing this every since we learned to exchange, store and copy information using language and drawings. The smart phone in your pocket, while not being directly connected to your brain yet, serves as real-time memory and knowledge database for your brain everyday. There is currently a lot of research going on with computer/brain sharing and uploading right now and the results are pretty amazing. Seems like it will become a reality with humans within the next few decades:With an Artificial Memory Chip, Rats Can Remember and Forget At the Touch of a Button Scientists link rat brains together over the internet to transfer sensory information http://www.sciencedaily.com/rele... Meet the Two Scientists Who Implanted a False Memory Into a Mouse Remember, technology improves at an exponential rate so if some of our current tech would have seemed far fetched to someone 50 years ago, we can scarcely imagine the technological magic there will be in 2065. At that time, tech will be growing at such an astonishing rate, we will HAVE to have augmented memory and learning in order to just keep up with the basics. This picture illustrates this principle perfectly. As a boy he watched as his country fought each other with cutting edge black powder rifles, horses, and cannons and before he died he saw his country go to war using supersonic jet fighters, attack helicopters, nuclear warheads, and satellites. The amazing changes he will be dwarfed by our own experiences. 
Is it going too far to ask a potential girlfriend to fill out a potential partner evaluation form?
You have, of course, offered her your version of the same form (or equivalent), filled out with all your answers, right?I just applied for a job I may decide I don’t want because their application process is so 1999. Allow that your prospective partners will be evaluating your date selection process while they fill out the form. It is possible that some women will relish a more straightforward, apparently data-driven approach and find it more comfortable to write answers than to talk.This might actually be the best way to weed out incompatible partners, for you.You will have to accept that this WILL weed out incompatible partners, of course. As long as you can live with that fall out, I’m all for reducing the field of candidates to manageable numbers as fast as possible.You might want to have the form reviewed by someone you trust who can help you evaluate how you have worded the various questions and make sure that the data you are seeking is actually relevant to your criteria.(And you do have criteria, of course.)
How far away are we from living inside the matrix? What about outside of the matrix?
“The Matrix” involves a total immersion simulated sensorium with an automated life-support system.We are so far away from that situation that nobody can put a tentative date on when the tech would be achieved.Should it be achieved, then “outside the matrix” would be the regular World. It would be like when you play a video-game: what is outside the game? Answer: real life.
As a person with BPD, how did DBT therapy help you deal with your abandonment issues?
It didn’t actually address them, directly • which is something I would’ve expected. After my first round, when they gave me a feedback form to fill in, I said as much.What DBT does is give you a toolkit to resolve and tolerate any and all emotions, wherever they come from • it is a lot more ‘practical• than ‘theoretical’, it is BPD-specific therapy but it is based on CBT, plus some eastern philosophy, some western philosophy, aesthetics, Marsha Linehan being cool AF, etc.It has specific things surrounding interpersonal skills and emotional regulation skills, but nothing really surrounding A+R • as I recall, anyhow.The thing is• Honestly• I think A+R fears are a secondary symptom, not a core trait as might be predicted by Object Relations models, and I think the fact that DBT doesn’t address it directly —yet resolves the issue at hand (in my case, at least)• speaks in favor of a thing called Transactional Analysis, which can be briefly summed up as such:(Images courtesy of DuckDuckGo • a socially responsible search engine for the 21st Century)This isn’t a BPD-specific model, it is a widely applied school of psychological thought • if you think about it, I think you’ll be able to see these kinds of dynamics in a lot of different interpersonal scenarios, work, school, social scenes • even Quora!How I think it relates to BPD is that basically when we have BPD-ish vulnerabilities surrounding cognitive empathy deficits and emotional dysregulation issues —and the problematic surface psychology implied by that• as sufferers we spend a lot of time in the ‘child• position, and really before self-awareness and self-actualization it cannot be any other way.Unless you’re a goddamn existentialist philosopher with a doctorate in psychology (like Marsha), nobody with BPD can understand BPD from the perspective of BPD, and we struggle • we ask for help, we become dependent not just because of our vulnerabilities but also because of dependency (which I’ve written about elsewhere • whole other post) and ensuing emotional enmeshment issues, sometimes referred to as ‘emotional codependency’, and • we end up in the ‘child• position.This flies in the face of theories that state that we’re essentially self-serving narcissists addicted to love like whoever it was Robert Palmer was singing about back in the day (though he wasn’t far off • ‘closerrrrr to the truth• than some psychological grandees, anyhow i.e. Masterson, that other guy• little bald fellow• what’s his name • begins with an ‘O’, I think• little help, anyone? • Edit: Otto Kernberg • thank you Clarissa Paige!)What DBT does is give us the tools to resolve those vulnerabilities that were keeping us in the child position.ALL OF ‘EM.It allows BPD folks to self-actualize in BPD ways • and it is my observation that there are in fact optimal ways for BPD folks to self-actualize (sans therapy) with regards to a high affective/somatic empathy paradigm, but not all of us get the opportunity to grow in those directions and even those who do can have pretty big blind spots due to the same problems expressing themselves differently.DBT sets us on the right track.Once we’re out of the ‘child• position, and we know how to deal, with self-guided self-compassion, honestly……sh*t just doesn’t hurt as much as it used to, and everything makes a lot more sense.I mean, trauma is trauma —and abandonment and rejection can be a big part of BPD life• but my thinking on this is that it is incidental, not causative, because BPD vulnerabilities keep us in a (relativistic) ‘child• position compared to 94–99% of everyone else. I feel it, sometimes, but now it’s more of a ‘bump in the road• rather than the total gut-punch it used to be, because • doesn’t matter. I know how to rationalize and resolve the emotion compassionately with DBT skills.Something else that I’ve noticed (albeit on an anecdotal i.e. Quora basis) is that the (approximately) 14% of BPD cases with some ASPD/NPD/HPD/SPD adaptations —whom are considered the least symptomatic and highest functioning• don’t struggle with A+R fears as much as the rest of us.To me this speaks to the role of relativistic ego positions being far more important than some imagined formative experience (from a time NO-ONE CAN ACTUALLY REMEMBER) as implied by Object Relations theory • I get O.R., it’s very smart, well done Melanie Klein et al, but the relationship between childhood experiences and adult cognitions in this regard is correlatory not causative (IMO).So, to my mind, that’s how it does the thing it does. By ignoring it, and treating A+R fears like any other amygdalically (—?) dysregulated emotion.There is a core biological attachment vulnerability to BPD, but that is more to do with the role of (bonding hormone) alleviating over-production of cortisol by an over-active hypothalmic-pituitary-adrenal axis which was set into overdrive by stressful childhoods • but, guess what?That’s just another emotion, and one we can neutralize or even turn into something positive by practicing DBT skills.That is ‘selfhood’, that is ‘adult mode’, that is ‘ownership• of things that none of us know how to take responsibility for at first • and it doesn’t involve anyone else telling us who we are or aren’t but ourselves.That is self-actualization. That is sustainable emotional security.That is seeing through to the core code of the goddamn Matrix.That is self-reliance, and only ever dropping down to the relativistic ‘child• position with the possibility of then growing into that ‘adult• and then ‘parent• position as we go through our lives (btw • hey kids, d’you like psychology? Lolz• sigh.)For the rest of everything and sources for the information in this answer, see: Borderline Personality Disorder by Asbjorn Magnussen on BPD Science StuffImportant question • hope this answer does it justice :)
How can I use stochastic process to fill adjacency matrix at random?
I presume you want to fill a matrix with random values.Regarding the application of the adjacency matrix, is it the adjacency matrix of a circuit, of any other sort of object modeled by a directed graph?Let’s return to the random adjacency matrix. For instance, in Octave (GNU Octave) you create a random matrix [math]W[/math] with [math]m[/math] lines an [math]n[/math] columns with the command:[math]W=rand(m,n)[/math]By default, the statistical distribution which is used in Octave is uniform in the interval [math][0,1][/math]. You can use other distributions: [math]randn(m,n)[/math] uses the normal or Gaussian with zero mean and variance of one, [math]rande(m,n)[/math] uses the exponential distribution, [math]randi [/math] samples from a certain range of integers, [math]randp(m,n)[/math] uses the Poisson distribution. Etc• You can see details of those and other Octave distributions in the manpages of Octave located at Special Utility Matrices.Matlab, Scilab and Julia, other software similar to Octave, has similar instructions.If you want to fill a sparse random adjacency matrix, that is, if many of its elements are to be kept with a value of zero, you use two [math]for[/math] cycles to run over the two dimensions of the matrix, and write in them element-wise the random value, but first you test if the value stays at zero by “tossing” a coin with the probability of an element of the matrix being filled or not. For instance, if that probability is 10%, on average only 10% of the matrix elements will have a non zero random value in the end.
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