Here is why : First of all, relationship (F) is equivalent to : $$(G) \ \ \ \ S_1^4=\frac12P_1^2+4P_1S_1^2.$$, $$(H) \ \ \ \ (S_1^4+2P_1^2-4P_1S_1^2)(S_2^4+2P_2^2-4P_2S_2^2)=25,$$, which is a tautology due to the fact that $\alpha=P_1P_2=-2.$. Q: According to the Many Worlds Interpretation, every event creates new universes. I am sorry but I don't find your derivation very clear. My bad: If atoms are mostly made up of empty space, why do things feel solid? Paste mathml into your word document. C = 5 9 ( F) C = 5 9 ( 1) = 5 9 Therefore, statement I is true. Q: How many mathematicians/physicists does it take to screw in a light bulb? Would the reflected sun's radiation melt ice in LEO? Q: As a consequence of relativity, objects becomes more massive when theyre moving fast. Q: What exactly is the vacuum catastrophe and what effects does this have upon our understanding of the universe? Q: What is energy? Do you want to set a world record? This Or That Worksheet / This That These Or Those Hvac Smoke Detector Wiring Diagram / D4120 Duct Sm Sensi Touch Thermostat Wiring Diagram : 2 -. Q: Is it possible to write a big number using a small number? If they do, is the future determined and what does that mean for quantum randomness? Q: If you are talking to a distant alien, how would you tell them which way is left and which way is right? This required that the pH of the feed phase is lower than the pKa value of acetic acid which is 4.76 (at 25 degC). Thanks for the comment. (insert an insane equation with dozens of variables, complex . If we cant get exact solutions, then how do we know when our approximate solutions are any good? ), How to produce unicode copyable alternative text? Q: If the world is a giant magnet, how come we cant build a repelling magnet that can float? Q: Why does Lorentz contraction only act in the direction of motion? Good luck. a^2b^2(c+d)^4-2ab(c+d)^2+c^2d^2(a+b)^4+2(abcd)^2-4abc^2d^2(a+b)^2-2cd(a+b)^2-4a^2b^2cd(c+d)^2-4abcd=12 What can a lawyer do if the client wants him to be aquitted of everything despite serious evidence? Q: How do we know that everyone has a common anecestor? To copy your preferred Math Symbol, double-click on it to select it into the "Characters to copy" box. Here the combination of . According to sciencealert, the longest math equation contains around 200 terabytes of text. Rather than talking about kinetic energy and momentum and falling, you can just say Dudes and dudettes, if I may, the Lagrangian for an object flying through the air near the surface of the Earth is , where m is mass, v is velocity, and z is height. \end{cases} \ \ \implies \ \ \alpha=-2 \ \text{and} \ \beta=-8.$$. Isnt it gravity that makes the dip in the first place? $$ 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).$$. Your browser is completely ignoring the