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to turn those singsong statements into useful math.  After a decade  of work, and buckets of differential geometry (needed to deal with  messed up coordinate systems like the surface of Earth, or worse, curved  spacetime) the “Einstein Field Equations” were eventually derived, and  presumably named after Einstein’s inspiration: the infamous Professor  Field.This  is technically 16 equations (μ and ν are indices that take on 4 values  each), however there are tricks to get that down to a more sedate 6  equations.The left side of this horrible mess describes the shape of spacetime  and relates it to the right side, which describes the amount of matter  and energy (doesn’t particularly matter which) present.  This equation  is based on two principles: “matter and energy make gravity… somehow”  and “when you don’t feel a push or pull in any direction, then you’re  moving in a straight line”.  That push or pull is defined as what an  accelerometer would measure.  So satellites are not  accelerating because they’re always in free-fall, whereas you are  accelerating right now because if you hold an accelerometer it will read  9.8m/s2 (1 standard Earth gravity).  Isn’t that weird?  The  path of a freely falling object (even an orbiting object) is a straight  line through a non-flat spacetime.Moving past the mind-bending weirdness; this equation, and all of the mathematical mechanisms of relativity, work perfectly for every prediction that we’ve been able to test.   So experimental investigation has given General Relativity a ringing  endorsement.  It’s not used/taught/believed merely because it’s pretty,  but because it works.Importantly, the curvature described isn’t merely dependent on the  presence of “stuff”, but on the curvature of the spacetime nearby.   Instead of being emitted from some distant source, gravity is a property  of the space you inhabit right now, right where you are.  This is the  important point that the “bowling ball on a sheet” demonstration is trying to get across.The  Einstein Field Equations describe the stretching of spacetime as being  caused both by the presence of matter and also by the curvature of  nearby spacetime.  Gravity doesn’t “signNow out” any more than the metal  ball in the middle is.So here’s the point.  Gravity is just a question of the “shape” of  spacetime.  That’s affected by matter and energy, but it’s also affected  by the shape of spacetime nearby.  If you’re far away from a star (or  anything else really) the gravity you experience doesn’t come directly  that star, but from the patch of space you’re sitting in.  It turns out that if that star gets smaller and keeps the same mass, that the shape  of the space you’re in stays about the same (as long as you stay the  same distance away, the density of an object isn’t relevant to its  gravity).  Even if that object collapses into a black hole, the gravity  field around it stays about the same; the shape of the spacetime is  stable and perfectly happy to stay the way it is, even when the matter  that originally gave rise to it is doing goofy stuff like being a black  hole.This stuff is really difficult / nigh impossible to grok directly.  All we’ve really got are the experiments and observations, which led to a couple simple statements,  which led to some nasty math, which led to some surprising predictions  (including those concerning black holes), which so far have held up to  all of the observations of known black holes that we can do (which is  difficult because they’re dark, tiny, and the closest is around 8,000 light years away, which is not walking-distance).  That said: the math comes before understanding, and the math doesn’t come easy.Here’s the bad news.  In physics we’ve got lots of math, which is  nice, but no math should really be trusted to predict reality without  lots of tests and verification and experiment (ultimately that’s where  physics comes from in the first place).  Unfortunately no information  ever escapes from beyond the event horizon.  So while we’ve got lots of  tests that can check the nature of gravity outside of the horizon (the  gravity here on Earth behaves in the same way that gravity well above  the horizon behaves), we have no way even in theory to  investigate the interior of the event horizon.  The existence of  singularities, and what’s going on in those extreme scenarios in  general, may be a mystery forever.  Maybe.

Let's discuss Einstein's general theory of relativity first.Just so we can imagine it, let's think of a 3D coordinate system where x and y axis are spatial dimensions and z axis is time (think of a 2D space and time being the third dimension).Imagine a stationary point on the x-y plane. in our 3D system (which is this plane, moving with a constant speed in the t axis direction), this point is moving on a straight line parallel to the time axis with constant speed.Now imagine our point starts moving on the x-y plane with a constant speed at any direction. in our 3D system our point is moving on a straight line not parallel to t axis.In general relativity, when there is no mass around, everything (every point of space) always moves in a straight line with a constant speed in the 4-D space-time (because fabric of the space-time is in straight lines and it's not bent or curved). This explains the cause of Newton's first law of motion which states "every mass keeps it's speed when no force is applied to it; if it's moving, it will continue moving with a constant speed in a straight line and if it's not moving, it will remain stationary".When there is a mass present, the mass causes the fabric of space-time to bend or curve. So everything around it will move through bend line around the mass with a constant speed in 4D space-time. This is what makes the gravity; We observe everything moves with an accelerative speed with an increasing acceleration towards the center of the mass.This was explained as a force called gravity acting on masses that causes masses to move with an accelerative speed with [math]a=\frac{F}{m}[/math] where [math]F=G \frac{M_1.M_2}{r^2}[/math] according to Newton's second law of motion and universal law of gravity.Earth is moving on a slightly curved line in 4D space-time. the shadow of this curved line is the elliptic orbit of the Earth around the sun in our 3D world.The shortest path between two points is a straight line. when an object is moving in a curved line in 4D space-time, it will have to move a larger distance than it's usual path, so it causes it to arrive to its destination later and this is the cause of gravitational time dilation (slowing of the time) around the masses.Have in mind that these are just a few consequences of general relativity. The famous [math]e=mc^2[/math] is another consequence of relativity (special relativity to be exact).In classical physics, light is not effected by gravity because it has no mass. But in general relativity it should bend with the fabric of space-time (because space itself is bent) around the large masses. In fact this was the first prediction and first observation in favor of general relativity. Bending of the light of the stars passing close to the Sun and changing of their apparent position in the sky observed in an Eclipse. See Arthur Eddington and Frank Watson Dyson.I hope this was interesting.

The self appraisal form-filling through MBO is one of the simpler methods of self-rating, having almost no ambiguity in the data sought from the appraised.The MBO system of organizational working is a rather systematic one, wherein all jobs are well defined, and meticulously formulated objectives for them are communicated at all levels. Each job has its primary and secondary objectives, which define the scope of the KPAs for employees. During a self appraisal, one is required to clearly set out all, primary and secondary objectives - and as against each of them, mention level of achievement/accomplishment. This can happen through an essay or narrative detailing, a forced distribution system or through the critical incident method.What is important is that all objectives are taken care of during appraisal, and clear and specific evidence of fulfillment is submitted.

If you could figure out how to do it repeatedly, to the same object, without obliterating the object, then theoretically you could signNow the speed of light, but probably not break it.Accelerating to 1 m/s instantly means that you have achieved infinite acceleration. No time passes, your velocity increases, acceleration is infinite via a division by zero. Any infinite acceleration of an object that has mass implies an infinite amount of force. Given an infinite amount of force, you can continue to accelerate any object, regardless of its mass.This is important, because in relativity, the mass-energy equivalence means that as objects with mass accelerate, they gain more energy, which makes them effectively more massive, which means it takes a greater amount of energy to achieve the same acceleration next time. The final result is that as objects approach lightspeed, they effectively become infinitely massive, and it becomes impossible to accelerate them further.In your scenario, with infinite acceleration, and therefore infinite energy, you could feed energy into an object and draw it infinitely close to lightspeed. Which, effectively, means you have signNowed it, by the same token that when you divide 1/3, you get .3333 repeating, and then multiply that by 3 and you get .9999 repeating, but we know that nothing was lost, so we know that really that .9999 repeating is just 1. (Better math people than I could probably talk about orders of infinity here, and calculate whether they matter.)Trouble is, there are physics problems with the scenario, and philosophical problems with the universe that make this a much more difficult issue.The physics problem is that usually, if you apply infinite force to things, they tend to be obliterated. So, no matter what the thing you are accelerating is, after you accelerate it, it is likely to be made of black hole matter or something equally terrifying, if it exists at all. Forces that strong have never been measured, so we don't know what would happen, but we can guess that if you turned on a machine that could do this, you probably destroy whatever planet you are on. Maybe you rip holes in the universe itself. Maybe that's how wormholes happen.The philosophical problem is the old question of the indivisibly small distance, or indivisibly small time increment, in our case. What is an instant? Is it a Planck time? Is it less than that? If it is a non-zero positive amount of time, then you no longer have infinite acceleration, and you can't signNow lightspeed. So, even if you accelerate at 1 m/Planck time, the object in motion will quickly become too massive for the force you are applying to keep accelerating it.But, even in normal, much slower accelerations, dig deep enough, and no matter what you arrive at a point where your velocity goes from 0 to not-0. At that point, your acceleration, for all intents and purposes, is momentarily infinite. So, does this scenario happen constantly, all around us, in everyday life? Are we living in a world where every change in momentum creates a tiny black hole with a lifespan on the order of a Planck time? How can we understand this paradox?Interesting little universe we live in, isn't it?

Going slower than the speed of light you are always traveling forward in time.  Your own time always seems to be moving at the same rate since no matter how fast you are going relative to someone else you are always standing still in your own rest frame.But if you are traveling at .999 light speed relative to earth, your clock is slow relative to a clock on earth.  For every hour you travel at that rate you travel over 21 hours ahead in earth time  If you travel for a year at 0.9999999 light speed you would have traveled over 2000 light years in distance and over 2000 years forward in earth time.A good way to think of it as time ticking by quantum events.  When you travel from here to there the faster you go the fewer events happen during the trip and at light speed zero events happen and you would get anywhere instantly by your clock, moving ahead in time the same number of years as the number of light years you traveled.  Moving in space is always moving forward in time but moving faster ahead in time the closer to light speed you get.  There is no limit in theory how fast you can get somewhere by your clock, but for every light year traveled a year must pass for those not traveling.Clearly it is not possible to have fewer than zero events happen during you trip.  If there were a negative number of events, then you would indeed necessarily be going backwards in time with events all happening in reverse order.  Since all events would happen backwards your memory would be erased there would be no way you could know that you had gone back in time and no way you could be anywhere other than where you had been previously.  If there were some loophole that allowed you to end up someplace else experiencing a negative number of events, it would defy all experience.  Your memory would be erased so you could not remember leaving but you would arrive at some destination before you are seen to come and then seen to be travelling back to where you came from as the light from your trip signNowed the destination at lightspeed after you arrived.

I was selected for a summer internship 2016.I tried to be very open while filling the preference form: I choose many products as my favorite products and I said I'm open about the team I want to join.I even was very open in the  location and start date to get host matching interviews (I negotiated the start date in the interview until both me and my host were happy.) You could ask your recruiter to review your form (there are very cool and could help you a lot since they have a bigger experience).Do a search on the potential team.Before the interviews,  try to find smart question that you are going to ask for the potential host (do a search on the team  to find nice and deep questions to impress your host). Prepare well your resume.You are very likely not going to get algorithm/data structure questions like in the first round. It's going to be just some friendly chat if you are lucky. If your potential team is working on something like machine learning, expect that  they are going to ask you questions about machine learning, courses related to machine learning you have and relevant experience (projects, internship). Of course you have to study that before the interview. Take as long time as you need if you feel rusty. It takes some time to get ready for the host matching (it's less than the technical interview)  but it's worth it of course.

The photon has more than one velocity near the atom. There is a phase velocity, a group velocity, an energy velocity and even a signal velocity close to the antennae. The signal velocity signifies the speed of information, that can never go faster than the speed of light in a vacuum. The other types of velocity can have different values close to the antennae.I will assume that you mean energy velocity. The energy velocity can have different values close to and inside the atom.The photon can have any velocity inside the atom because it is a virtual photon. Its velocity at the speed of light is fixed at a distance from the atom because it becomes a real photon.What changes in time is the amount of ‘virtualness’ associated with the photon. The phootn starts off as a virtual photon and turns into a real photon.The classical analog to atomic fluorescence all this is antennae emission. The radio wave starts out as a near-field (i.e., quasistatic ) electromagnetic field inside the region of the electric current. The calculation of energy velocity is meaningless close to the antennae because the energy is not carried by ‘true waves’. The electromagnetic field It only becomes a far field electromagnetic field, or true wave, at distances far from the antennae.Close to the antennae, the phase velocity of the electromagnetic field can be larger than the speed of light. However, this doesn’t signify that the speed of information is faster than the speed of light.Similarly, there may be certain circumstances when the virtual photon goes faster than the speed of light. However, information doesn’t go faster than the speed of light. In this case, the speed of the virtual photon is not the speed of information.

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Draw a long line on a piece of airSlate SignNow. This will be the base of your number line. ... Make hash marks on your line. This will make it look like a train track. ... On the left, start writing numbers above the hash marks. Start with zero above the first hash mark on the left. ... Stop numbering at 20.