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October 22, 2020#

examples of infinity in math

Q: Is it possible to say if the Earth is moving or sitting still without going into space? \(a < 0\)) from a really, really large negative number will still be a really, really large negative number. Q: What are integral transforms and how do they work? If matter formed from energy (as in the Big Bang expansion), where did the energy come from? In general, a set of numbers is called countably infinite if we can find a way to list them all out. Have virtual particles ever been observed? Q: If time is relative, then how can we talk about how old the universe is? Why is it better for a rocket to fire at the lowest point in its orbit? Q: How did mathematicians calculate trig functions and numbers like pi before calculators? Isn’t it gravity that makes the dip in the first place? Would you be able to see microscopic things? So, again, there’s no definitive result. If I’m riding a beam of light and I throw a ball, why doesn’t the ball go faster than light? Q: How/Why are Quantum Mechanics and Relativity incompatible? Q: In the NEC “faster than light” experiment, did they really make something go faster than light? Q: If quantum mechanics says everything is random, then how can it also be the most accurate theory ever? Q: What is “spin” in particle physics? But in general, the operations we freely use with ordinary numbers (addition, subtraction, ) need to be considered very, very carefully before they’re applied to infinities (or even zeros). ∞+i∞? Theoretically, which type of vision would be the best to see things with? However, INFINITY/INFINITY is an indeterminate expression and can thus be equal to any value, so you cannot make a conclusion. For example, the absolute value of “sqrt(-1) + infinity” is infinity. Q: What are Feynman diagrams, how are they used (theoretically & practically), and are there alternative/competing diagrams to Feynman’s? Is there an orbit where the effects cancel out? Q: What would you experience if you were going the speed of light? Q: Why doesn’t the air “sit still” while the Earth turns under it? Q: Why does wind make you colder, but re-entry makes you hotter? Q: How does the expansion of space affect the things that inhabit that space? Q: How can quantum computers break encryption? Q: Is it possible to fill a black hole? And how did they measure it? Why do mathematicians make life so complicated. What is its relevance? Wouldn’t God’s observation of the location of the photon collapse its probability wave function? Q: Will black holes ever release their energy and will we be able to tell what had gone into them? Is the amount of even integers half of the amount of all integers? BIG DISCLAIMER: This blog post uses one particular concept of infinity. However, with the subtraction and division cases listed above, it does matter as we will see. 1/2 of infinity is still infinity, so infinity divided by infinity plus one should equal one if infinity were too be odd. Q: What is The Golden Ratio? Is astrology reasonable or plausable? Couldn’t they “prove” anything they want? Well, there are large X values that make “sqrt(2) * X” rational, but there are also large X values that make it irrational. What we’ve got to remember here is that there are really, really large numbers and then there are really, really, really large numbers. so of course you can’t add 1 or divide by 2. If it is, there are some serious issues that we need to deal with as we’ll see in a bit. Q: Why doesn’t life and evolution violate the second law of thermodynamics? But is /2 an integer? The reason for going over this is the following. Q: In an infinite universe, does everything that’s possible have to happen somewhere? Mathematicians make life simpler by solving problems. Q: Can one truly create something from nothing? Where are they? Q: Why is the integral/antiderivative the area under a function? Q: Is it odd that the universe’s constants are all so perfectly conducive to life? Q: How can we see the early universe and the Big Bang? If we find enough digits, isn’t it possible that it will eventually start repeating? Q: If Earth was flat, would there be a horizon? (and some other friction questions). Video: How do we know that 1+1=2? So, if we take the difference of two infinities we have a couple of possibilities. Do they remain entangled? Definition Of Infinity. This means that there should be a way to list all of them out. Q: Is there a formula for how much water will splash, most importantly how high, and in what direction from the toilet bowl when you *ehem* take a dump in it ? Q: Can things really be in two places at the same time? Q: Why does going fast or being lower make time slow down? Pick any number, x, and you find that +  >  + x/2 > x/2 + x/2 = x. As you tended to positive and negative infinity you would get a infinite number of zeros. Q: If a photon doesn’t experience time, then how can it travel? Q: What would the consequenses for our universe be if the speed of light was only about one hundred miles per hour? Q: Does quantum mechanics really say there are other “mes”? Infinity, the concept of something that is unlimited, endless, without bound.The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655. Q: Do time and distance exist in a completely empty universe? Q: If you suddenly replaced all the water drops in a rainbow with same-sized spheres of polished diamond, what would happen to the rainbow? Quantum mech, choices, and time travel too! For example, involves a positive infinity () and a negative infinity (), but if you add up the sum one terms at a time you find that it equals ln(2) = 0.6931…. Q: Does anti-matter really move backward through time? Q: Why does Lorentz contraction only act in the direction of motion? Q: What would happen if an unstoppable force met with an unmovable, impenetrable object? Q: Would it be possible for humans to terraform mars? Q: How did Lord Kelvin come up with the absolute temperature? Q: How many people riding bicycle generators would be needed, in an 8-hour working day, to equal or surpass the energy generated by an average nuclear power plant? Q: Will we ever overcome the Heisenberg uncertainty principle? Can thinking affect the future? Q: What are quasi-particles? Physicist: Several questions about doing basic math with infinity have been emailed over the years, so here’s a bunch of them! Q: How accurately do we need to know π? Q: Is 0.9999… repeating really equal to 1? Q: Are the brain and consciousness quantum mechanical in nature? Can space have a fractional dimension? Q: If you could hear through space as though it were filled with air, what would you hear? Logic and the axioms it underlies decide it. Q: What’s the chance of getting a run of K or more successes (heads) in a row in N Bernoulli trials (coin flips)? Another example of an odd # is where an odd number divided by two results in a modulo of one. Q: How does Earth’s magnetic field protect us? How do we know that God really does play dice with the universe? You may think “1”, because you’re probably more reasonable than not. Q: How much of physics can be deduced from previous equations/axioms? Q: Are there an infinite number of prime numbers? (Dealing with fractions). is defined as the “value” such that given any number, x, we always have x < .

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