(more unsolved problems in mathematics). 2+2=4 means nothing to an alien until after you tell them what each of those symbols mean and how theyre being used. Q: Why does putting spin on a ball change how it moves through the air? The whole point of physics, aside from understanding things, is to describe the rules of the universe as simply as possible. These Math Symbols can be used in any desktop, web, or phone application. @JeanMarie. What is the speed of dark? Video: The Scientific Investigation of Aliens Evidence Examined. To paste the formula only: In the Clipboard group of the Home tab, click . Q: What would happen if there was a giant straw connecting the Earths atmosphere right above the ground to space? You can use this online keyboard in alternation with your physical keyboard, for example you can type regular numbers and letters on your keyboard and use the virtual math keyboard to type the mathematical characters. Q: With entangled particles, can you tell when/how the other particle is measured? click on the button above "click here to start" to start the applet and. Determine in how many weeks Jenna and Khalil will have the same amount of money. Q: What is the False Vacuum and are we living in it? ^ oh, you thwarted my plan and i agree with the first question. This little software has been my partner since then. Alternatively, since MathJax supports the amsmath extensions, the split environment is also supported: $$\begin{split}P(Y-X=m | Y > X) &= \sum_{k} P(Y-X=m, X=k | Y > X) \\ &= \sum_{k} P(Y-X=m | X=k, Y > X) P(X=k | Y > X) \\ &= \sum_{k} P(Y-k=m | Y > k) P(X=k | Y > X).\end{split}$$, $$\begin{split} This is the basic idea behind Kolmogorov Complexity; the length of the shortest possible set of written instructions that can produce a given result (never mind how long it takes to actually compute it). Q: What would happen if everyone in the world jumped at the same time? Q: If you were on the inside of the Sun falling in, the matter closer to the surface doesnt affect your acceleration, but the matter closer to the core does. I know this sounds stupid, but why doesnt that equation involve gravity? Q: In an infinite universe, does everything thats possible have to happen somewhere? What about in base 1? We are going to show that $(a,b)$ belongs to one of the two lines with equations $b=\sqrt{a}$ and $b=\frac{1}{\sqrt{a}}$ as displayed on the following figure. Why is it better for a rocket to fire at the lowest point in its orbit? $$\begin{align} Solving system of three quadratic equations. Called the boolean pythagorean triples problem, it was. 23/06/2021 Paste your text into any text file e-mail message or HTML document and it will usually be displayed correctly without any special plugins. In regular ol' calculus, if you want to find the value of x that extremizes a function f (x), you solve for the value x. Mathematical equations, from the formulas of special and general relativity, to the pythagorean theorem, are both powerful and pleasing in. Quantum mech, choices, and time travel too! Using the fact that $abcd=-2$, then we can shorten the equation above into: Q: Why are numerical methods necessary? Certain sets of three positive integers known as Pythagorean triples can be inserted into the formula, such as 3 2 + 4 2 = 5 2, 5 2 + 12 2 = 13 2, and 8 2 + 15 2 = 17 2 . (B) \ &(S_1^2-2P_1)(S_2^2-2P_2)&=&9 & \ \implies \ & (C) \ 1-2(P_1S_2^2+P_2S_1^2)+4(P_1P_2)=9\\ . Q: How can we have any idea what a 4D hypercube or any n-D object looks like? With this principle, a single Lagrangian can be used to derive many physical laws at once, so its a good candidate for equations that arent needlessly complex. To determine what the math problem is, you will need to look at the given information and figure out what is being asked. Q: If a long hot streak is less likely than a short hot streak, then doesnt that mean that the chance of success drops the more successes there are? a^2+b^2&=(a+b)^2-2ab\\ In the answer box, write the roots separated by a comma. For this I need to work out the equation of the line AC and CB. I am sorry but I don't find your derivation very clear. Q: Which is a better approach to quantum mechanics: Copenhagen or Many Worlds? Many mathematical problems have not been solved yet. Looking for a little help with your homework? Then you have the polynomial $P (z)= (z-x) (z-y) (z-u) (z-v)$ with variable $z$. Consider the example, Case 1: xy = yx. I'm curious whether there is a package that allows to copy math formulas correctly. Q: Is 0.9999 repeating really equal to 1? Q: Can planes (sheets) be tied in knots in higher dimensions the way lines (strings) can be tied in knots in 3 dimensions? When the formula is correct, highlight the LaTeX code in the bottom righthand corner and copy/paste into your document. Q: How do lenses that concentrate light not violate the second law of thermodynamics? As long as the mathml format is enabled in your app settings, each time you take a snip. Are they discovered or invented/created by humans? We havent even fully tapped into quantum mechanics and the interactions between the general relativity and quantum theory. The eQuation Generator above can make up unlimited equations for you to practise solving. Q: Since pi is infinite, do its digits contain all finite sequences of numbers? If you want to chose a path that extremizes (either minimizes or maximizes) S, then you can do it by solving the Euler-Lagrange equations: This is called the Euler-Lagrange equations (plural) because this is actually several equations. 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