Acme

I'm not familiar with that. Can you describe how it works? In any case, the deceleration period is short and the mass of a spacecraft relatively small and I suspect that even if you could recover/transform all the kinetic energy it would be a negligible amount. Addendum: OK. I don't usually attempt these calculations but I was curious. Just so, I chose the Mars Curiosity rover to experiment on. I got my values & equations from several sources & I'm pretty confident they are close enough for an estimate. mass of spacecraft just prior to atmospheric entry:2,401 kg velocity of spacecraft just prior to atmospheric entry: 5,100 meters per second KE=0.5 * mv2 =31,225,005,000 joules approximate time of deceleration: 345 seconds joule to watts=joules/time in seconds = 90,507,261 watts So if I did that right (am I even in the ball park?), I was quite wrong about no appreciable amount of energy to recover, but now there is the problem of how and where to store 90 mega-watts in approximately 6 minutes. sources: craft mass & velocity Kinetic energy joules to watts descent time

After the initial slowdown and at the point where a parachute is often deployed, rotor blades could drive a generator to charge batteries. While possible, the additional weight of a generator and short duration of flight strikes me as impractical. See: >> Will NASA's Next Space Capsule Land Like a Helicopter? You might also use thermocouples in or behind the heat shield to generate some voltage for batteries, but again the weight of them and short duration of use seem impractical.

Free will is nothing more or less than a philosophical football. If you believe in free will then I chose to write this and if you don't believe in free will then I was destined to write it.

You're welcome. So your footprint, i.e. area covered by 640x640 m, works out to 4,408,908.0676ft2 which is just a bit more than Boeing's factory and your 34.5 m is about double its height at 113.9 ft. I'm no engineer but I'd say yes it's possible. Flat roofs usually have some pitch to them to shed rain to drains so that's not a big problem I think. Could be a problem with snow however, and even pitched roofs can collapse under a heavy snow load. What is your building for and where is it going?

The accurate information is that an acre is an area, not a length. An acre is equal to the area covered by a square that is ~208 feet long on a side, or 43,560 ft2. According to the Wiki page Largest buildings in the world the largest building in the world is at Boeing in Seattle. It covers an area of 98 acres (4,268,880 ft2), it's 5 stories tall (10 feet/story) and encloses a volume of 472 million cu ft.

Particle detectors measure many different attributes of particles. Particle detectors @WIKI

This all strikes me as more of an historical question than a mathematical question. In that vein -correct or not- here's some interesting history. The History of the Matrix I can't find exactly what the simultaneous equations applied to that the Chinese needed to solve, and the link to Nine Chapters of the Mathematical Art is written in German and far beyond my rudimentary 'Wie gehts?'. Anyway, matrices work, i.e. accomplish what is needed to accomplish, and that's why they were and are used. So too the specifics of their use and operations work and that's why they are as they are. Matrices are as matrices do my momma used to say. EDIT: I found a sample matrix problem from Nine Chapters of the Mathematical Art which may illustrate the point I was trying to make, namely that necessity is the mother of invention and sometimes discovery. Rod calculus

I think isolation is not the human norm and that socialization, and per se cooperation, is an evolutionary adaptation which people have used to good effect. Social engineering is a fool's errand. To quote from Robert Burns' poem To a Mouse, on Turning Her Up in Her Nest with the Plough: ... But Mousie, thou art no thy lane, In proving foresight may be vain: The best-laid schemes o' mice an' men Gang aft agley, An' lea'e us nought but grief an' pain, For promis'd joy! ...

I didn't think sci-fi or movies, I thought Horton Hears a Who. Anyway, we do know within useable limits the sizes both big and small of our existence. Our detectors cover enough of the range of the electromagnetic spectrum that were there something bigger and alive on the scale you suggest then we would detect regular rhythms/signals indicative of life. The only 'steady' signal all around us is the cosmic microwave background and it is for all intents and purposes just static.

No worries Commander. I made a similar error last week with the light bulb puzzle that TimeSpaceLightForce posted. I have also looked at your recently posted knight's tour puzzle thread and the one on [presumably] division, but I haven't responded because I don't understand the division problem and the knight's tour is more-or-less a programming problem these days. Thanks for some fun though.

No Commander; just the four I gave and that Roamer explained. The four correct that I gave and that you repeated I have outlined in Blue and I have added red lines to show your errors.

FWIW Why the U.S. is No. 1 -- in mass shootings

Apologetics is as useless to a discussion as is close-mindedness. Rational close-mindedness is an oxymoron.

Other disabusements of the infinite monkey hypothesis pertain to evolution. Infinite monkey theorem A good point and one made at the link I provided. To whit: Improbable things happen Not that I hold any illusion that frox has any intention or motivation to read anything contrary to his/her assertions.

The four solutions in spoiler. The red line in the top left solution joins the digits sequentially and in occult practice is known as a 'magic path'. In use, the path alone would be inscribed on an amulet or such-a-matter to achieve whatever the intended magic effect is. Each of the four solutions has a unique magic path, though I left out 3 of them as they did not satisfy my magic effect intentions.

:shrug: It's the most sophisticated tool I know of that even remotely matches your request. There is always the issue of GIGO, so maybe you're not phrasing things properly.

Try Wolfram Alpha Computational Knowledge Engine You can input numbers and word instruction together such as 'factor' or 'expand'. It also responds to word only entries such as 'size of the Universe'. Signing up for a free subscription gives you some additional features, such as copyable plain text answers.

Continuing to display your ignorance on the subject of probability is pointless.

Indeed. The article I quoted and linked to goes in depth into the lottery and numerous other examples of the misuse and/or misunderstanding of probability. Terms such as 'unlikely', 'maybe', 'improbable', etcetera are synonymous in regards to the subject. An argument that a god or gods do not exist because of unlikelihood is as baseless as forex's argument that evolution does not exist because it's unlikely. As has been pointed out numerous times, evolution and per se science is about evidence and not wishful thinking masquerading as facts.

Poppycock. Not only do you not have/give any such reference, but no such valid probabilistic calculation exists. Chance is as chance does. Emphasis mine: Improbable things happen

I don't think it factorizes over the Reals; certainly not as the difference of squares. I put the expression to Wolfram Alpha and it gave no such factorization.(It doesn't give the factorization over complex numbers either.) It does give a derivative and an indefinite integral. ?? Derivative: (d)/(dp)(-1-p^2 q^2) = -2 p q^2 Indefinite Integral: integral (-1-p^2 q^2) dp = -1/3 p^3 q^2-p+constant Edit: Wolfram Alpha does give complex roots for the expression. p≠0, q = -i/p & p≠0, q = i/p

Acknowledged. I will also fix the numbering because, well... I just won't be able to live unless it's correct. This should have it.

While water pressure does seal the gate once it is closed, the gates are primarily opened and closed mechanically. In small locks this can be done by hand, in larger locks by motors. Locks

Make that 2 crap eye sights. I do indeed have two #44s. Will fix asa vision clears. Acknowledged one too many pipes. As noted to Imatfaal, I have 2 pipes labeled 44. Both connected to upper-right-rear bulb.

Ah...so we have to add two pipes? Then must they be the same length as the other pipes and we can move the input terminals to suit that length? Not sure I understand that. I think I misspoke about the bulbs in parallel dimming farther out on the circuit, but the parallel circuit does draw more current while the resistance in it is lower than in series. In any case, for either circuit all bulbs should burn at the same brightness as long as the bulbs are all the same wattage. I.e. for the same voltage all burn equally dim in series and all burn equally bright in parallel. Oui? So if the power source is a battery then in series you have dim bulbs but long battery life and in parallel bright bulbs and short battery life. Roger that. Acknowledge parallel stays lit on bustage. As noted above if a battery is used its life is shortened in parallel as compared to series. If a transformer is used then presumably it has sufficient current for parallel. Roger that. Hope I didn't draw the discussion too far off topic. Here's my solution. Checked it 3 times, but you know how that can go.