If your algorithm treats it as a valid number, your algorithm is wrong.

I'm curious if your detractor here has written code.

I don't think a mathematician has "SHEER" stupidity, it's the problem with people who are smart, who think everything within the subset of their domain is figured out.

I imagine security experts have this problem with hackers; "But I read the entire manual and what you did is not possible."

Hacker; "Well, that's like, our opinion man."

Cyber Security; "You are an idiot. You have no command of the lexical jargon."

Hacker; "Hey, wasn't Lexical the name of your first pet?"

I think this is a RULE we want to follow, but in the real world, like all those "corporate guidelines" that come from Human Resources -- nobody can actually follow all of them and get their job done.

I can think of a lot of situations where I HAVE TO GIVE an answer when a value becomes Zero and I'm dividing with it.

Animation, bank accounts and artificial intelligence to name a few.
Dude; "Like if I have no money, so I give all of that to you but you have zero dinero change, and you've got zero patience with that, well, like that's your problem man."
AI; "Does not compute, divide by zero, shutting down."
Dude; "I can always get free nachos at the robo drive-thru this way."

I think your math skills and clear understanding of the rules is awesome.

However,... if I were programming an animation and it's following a path y= 2/x, I'm going to have a smooth motion along screen at position 2 until I get to Zero.

So do we handle it as an error? Undefined of course means undefined but do I have my animated plane just blink "undefined" at a random location and then suddenly re-appear on the screen?

In this case, I'd imagine that having the prior two locations and next (estimate) would be handy to determine what y is when x = 0.

Or perhaps we have a built-in exception handler if x = 0 BEFORE we calculate when we have x in a division statement. For instance, if we have a point on the screen and try and follow the mouse, there are 4 points where one of our numbers reaches 0.

Consider this script;
this.rotation = Math.atan2((object.y - mouse.y), (object.x - mouse.x)) * 180 / Math.PI;
These days -- that code will work. Likely because someone at Adobe built in a handler just for these cartesian dilemmas to figure out at which quadrant X and Y were pointing to.

Does it make practical sense that if X = 0, then X = .0000001 will get you a reasonable facsimile of what should occur with X?

That solves the need to test for "undefined" -- even though more programming environments might be robust with regard to divide by zero errors.

I think the POINT here is to add a; "Don't let the Citizen be able to do what we do, and don't let the citizen EVER have an opportunity to do something back."

We are ruled by mutual consent. NOT asymmetrically ability of CorpGov to crush us.

I'm not a fan of private citizens having arsenals and what chaos might ensue when an idiot adds a rocket launcher on a repurposed drone. But that idiot can also just use the stupid rocket launcher.

But I'm going to say; "I want that fool with a rocket launcher on my team if and when you guys in charge get out of hand."

Banning what people do with drones while having NO LIMITS to what those in power get to do with data, drones, genetic modification of monster carrots (for example) is not something I'm in favor of.

Feinstein is a crass, self-serving politician and it's embarrassing she's happens to be a Democrat -- or that I once defended her election (but hey, there was another crass, self-serving politico on the other team).

I'm sure her thought process was; "I'm not sure what a drone is, nor if these people are lying to me, but there are some really nice Zeros on this check they sent me."

more mandatory checked bag fees.

LOL Did someone pass the idea that the airlines are FORCED to charge you for checking baggages?

"Forced! Forced I say! Why, I don't know what we'll do if the Big Government makes us take more money in fees from our passengers!"

But the Cargo hold is full as well... why? Because your airline is using the storage that USED to be used for Checked baggage to ship packages!

They started adding fees for these things and now their SOLUTION is to reduce the size of the bag because "surprise! People take stuff when they travel!"

Next thing you know, there will be an "air fee." "Oh, you wanted to BREATHE on your trip? Well that's going to cost you."

You know how they say; "We've got to support the worst to get the best"?

Well that's how I feel right now; mixed. You have to defend the KKK guy using his freedom of speech so you can have someone speak up about Wall Street (and get tear gassed *sigh*).

And I'm all for "research for research sake" because, hey, a penny spent on science is one less penny for Wall Street to leverage into $2, and then shift as a $2.50 tax burden when a depreciation in pennies pushes the leverage the other way.

Now researching Cat Videos? Seems like a demotion from the study; "found that watching internet porn not that harmful, also; stronger wrists."

Thank you for saying what should be said. People don't JUST go to Harvard for an education and saying criticizing them is "intellectual bashing" is a backhanded compliment.

The big reason to go to Harvard is because it's a fraternity of CEOs and you are connected. While a lot of people are convinced that's where the great minds come from -- well, the successful have heard that that's where the great minds come from because that's where they came from and obviously luck and the fact that their friends are billionaires had nothing to do with it, so they recruit from Harvard. And who can knock the positive attitude from people who just can't fail?

It's a vicious circle of self-reinforcing success.

Scalia, Thomas and Alito agree a lot of the time.

It's the best way to know what the WRONG choice is if you aren't sure.

Either an API is copyrightable or then copyright is not copyrightable, because it's an organized and unique sequence of instructions and thoughts.

I'm not saying I like what Oracle does, or that they are the good guys -- but the problem is Copyright itself, and even bad guys get to beat good guys to death with it.

Humans do not need to eat placenta, because there is a supply of Jello at the Hospitals, I recommend the Lime-green to avoid whatever is in that Red die these days.

The Double-Slit experiment is easy to explain if we consider that EM fields ride on a substrate or carrier wave, or dark matter or let's just call it "The Aether". It's a concept that Space was a thing, and along with bad ideas, Einstein threw this baby out with the bath water.

Now we've got physicists who want everything to be a particle and they can't say "Aether", so they'll invent dark matter or something else to fill the void, rather than saying the void is already filled.

EM fields don't have gravity, do they? So the extra interfering slit is a resonance set up by space itself. Gravity is the phenomena of particles (I think they are 8 dimensional resonating fields -- but whatever to avoid argument with current ideas) pushing out on Space. When their motions are organized (such as in a magnetic field or resonating with kinetic energy/heat) we can get EM fields. Gravity is many times more powerful than the standard model -- it's just not aimed at matter and we drift around and clump together based on the pressure of Gravity pushing on Space (like corks on the ocean).

Well anyway, that's just the way I see things. It sounds a bit like m-theory or the Quantum Gravity, but it's just easier to use a clean slate and figure out how we get what we observe with the fewest forces possible. So to me, it's resolvable with the Push of Gravity, the Pull of EM fields, folded space (particles) that have positive or negative charges in various degrees (created by Time potential), and we have space which allow these things to interact and interfere with each other. Gravity is created by Space/Time coming out of the folded space/time (particles). All you need is a medium and a Universe can be created merely by the interference.

That's the point I'd like to make. I think we are hamstrung by the people who came up with the math but lack the vision to find a simple way to explain it. I think string theory and a lot of Quantum is very flawed as a coherent model, and a lot of weird metaphysics could be explained if we visualized these processes better.

Instead of 2d or 1d structures in our Universe -- let's act like we are seeing everything in 4D (because of course, that's the ONLY way we can experience them -- 3D + Time). So if we see one particle that bounces around between two points in a predictable way -- but it's never in both points or in-between; maybe that's our clue that it is one object with an additional dimension we can't experience. How many should be deduce-able by it's pattern and positions -- a kaleidoscope on a plane would mean six, and perhaps 7 would mean it could appear at two points at the same time, and alternate with other points seemingly at random.

Personally, I'd go with 3 groups of 4 dimensions, because it makes it all so much easier. Our 4 Dimensional objects have a higher and lower grouping only one aspect of which we interact with at any time. Space is yet another group of 4 Dimensions that we only interact with via Gravity -- but we experience gravity as a side effect of space being pushed around us. EM fields are a feedback on gravity.

I had a headache thinking about how you get something from nothing, and then again trying to resolve relativity in more than a few vectors, and then finally dealing with why we have electrical charges in the first place. I currently think that Charge has something to do with Time and the electron is slightly in the future, the proton in the past (making the electron a smaller mass that SEEMS to be moving more, but is less fixed in space/time -- again, all particles are folded fields and they exist as an exchange between to separate sets of dimensions).

It's actually easiest to explain why charges attract if you imagine there is only one particle that comprises the entire Universe. Every tick of time, it has to take up every position. And the flow of time would have to be the order of transposition of overlapping fields. Thus, time can be created by wave-forms in space -- even if they all happen instantaneously. Think of an ocean where all potential ripples are represented and form it's distorted shape. If you trace a current ripple, it's origin would face the convex side of the waveform (vice versa for it's future). Thus a continuous line reaching forward and back in time could be drawn. Of course, there's no reason that this instantaneous waveform can't evolve over "time" that it virtually created out of nothing -- because there is nothing to keep track of the waveform and potential except the interaction of the waveforms.

OK, maybe that's confusing to some people, but all of creation can happen without time, in an instant, with one particle -- and the math can work out. -- And there is probably a way to fit that to current physical theories but I'm proposing it as thought experiment. But I also find it hard to DISPROVE, as well.

In other words; "If all you know is a simulation, and a simulated Bus can end your simulated life --- get out of the way of the simulated bus."

We would know we "hacked" the Universe when we can get something for nothing.

So far, energy is conserved and their is no instance of getting "two for one" or getting more work out of a process than put into it.

I do believe we CAN harness energy -- but it would likely be the high frequency energy left over from the big bang, which can be called Quantum Foam or Vacuum Energy. I'd call it a carrier frequency which is related to what we call the "Hubble Constant" in a Geometric way. Space is growing and that attenuates a signal.

Just one person's opinion; The math in Physics today might be good, but the imagination of the mechanisms seems horribly bad and lacking in "common sense."

1) The Uncertainty Principle.
One day we might use backscatter, or some sample of a radiation field that does not directly effect a particle and the "uncertainty" of mass, position and vector will go away. For instance; If people measured cows with cannon fire -- they would also be "uncertain."

2) Speed of Light.
I'll theorize that the Universe is 12 dimensional. In another set of 4 dimensions, perhaps light goes at a speed according to it's frequency, and what we see as frequency is "slope" -- for instance; if you have a ruler tilted to the line you are measuring, there are more points of measurement then when it is parallel to that line.

I also imagine that we can rationalize the Quantum Probability with the many Universe theory and at the same time explain why we have physical laws; all probabilities exist, and those that are equal and opposite and balance continue to exist while all others cancel out (but they can have influence). Movement then isn't so much a phenomenon of equal and opposite as it is a particle or field not existing in one position, but existing in another -- such that it behaved according to physics.

If we use m-Brane or Super Gravity, this might also mean there is a "carrier frequency" to Space/Time -- so Plank Length and Speed of Light merely are propagation limits were anything above the frequency of "Space/Time" is ignored -- or more accurately -- changes it's vector in a higher dimension and what we see as an increase in frequency is the increase in speed/energy (again, this brings us full circle to #1).

3 Plank Length;
This is the smallest we can measure right now. It used to be the human hair not to long ago and the Universe is not made up of human hairs. I suspect however, that everything is a field (just comprised of 12 dimensions), and due to the frequency of space/time (created by the Big Bang), there is again a "coarseness or resolution" to the Universe. Any smaller than that and you are looking at vertices below the threshold (which may in turn contain infinite pocket Universes -- this is a possibility if we are talking about folded space rather than particles -- infinite and fractal).

And the double-slit test can be proven with fields alone but not particles alone -- but that's another conversation. The point is; there are a lot of "impossible to explain" quantum phenomena that are actually easy to explain if you abandon some of the weird conventions. Like "why are there 'quantum packets' in the first place"? Because fields would only exchange energy on their peaks. The orbital electron shells around the atomic nuclei may be the frequencies or distances that particles interact with our space/time -- like a 3 dimensional screw being seen in a 2 dimensional world -- you might only see where the ridges hit -- and think it's many "string-like" objects. This would also explain quantum tunneling and other phenomena; the limits of our 4D point of view.

So while there might be phenomena that "look" like estimates, it's likely more about our resolving power. I do believe we can relocate objects using this "loose accounting" in the Universe, and we can solidify empty space -- because if it's all fields and space is a carrier wave -- that might mean that "solidity" is more about interference patterns than nuclear forces.