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really long math equation copy paste

For the first time ever, you can buy a book! Q: How many times do you need to roll dice before you know theyre loaded? How close are we to actually building one and going faster than light? Q: Whats the relationship between entropy in the information-theory sense and the thermodynamics sense? Think of the equation as an equation for a line. Q: If time is relative, then how can we talk about how old the universe is? Q: How bad would it be if we accidentally made a black hole? It's called a Diophantine Equation, and it's sometimes known as the "summing of three cubes": Find. -\frac{\sqrt{2}}{d},c= \frac{d}{\sqrt{2}}\right\},\left\{a= How do they relate to one another? Does the collatz sequence eventually reach 1 for all positive integer initial values? Your browser is completely ignoring the tag! According to sciencealert, the longest math equation contains around 200 terabytes of text. To learn more, see our tips on writing great answers. Sometimes bodmas is just pemdas by another name. Q: What if the particles in the double slit experiment were conscious? '^>`{z2|=8 '=]vdz?Wl9qOW\y|XB(js)/E;BPFd%%z88^t_iqa,^0=a}a. . Q: How did mathematicians calculate trig functions and numbers like pi before calculators? Q: Would it be possible to kill ALL of Earths life with nuclear bombs? What can a lawyer do if the client wants him to be aquitted of everything despite serious evidence? This Or That Worksheet / This That These Or Those Hvac Smoke Detector Wiring Diagram / D4120 Duct Sm Sensi Touch Thermostat Wiring Diagram : 2 -. Here is the same long equation with a single equation number. $$2abcd-ab(c+d)^2-cd(a+b)^2=4\tag{1*}$$ How can I change a sentence based upon input to a command? So whats the most (but not needlessly) complicated equation in the universe? $$ P(Y-X=m | Y > X) = \sum_{k} P(Y-X=m, X=k | Y > X) = \sum_{k} P(Y-X=m | X=k, Y > X) P(X=k | Y > X) = \sum_{k} P(Y-k=m | Y > k) P(X=k | Y > X).$$. In the answer box, write the roots separated by a comma. (and some other friction questions). Alternatively, type /math and press enter. According to sciencealert, the longest math equation contains around 200 terabytes of text. Sometimes bodmas is just pemdas by another name. Rename .gz files according to names in separate txt-file. Q: How does instantaneous communication violate causality? Q: Is it possible to create an almanac of human behavior that predicts everything a person will do? You can change the options so that one of five different types of equation is displayed. Pasting an equation into ms word. $$\begin{align} (a^3+b^3)(c^3+d^3)&=\color{red}{(a+b)}((a+b)^2-3ab)\color{red}{(c+d)}((c+d)^2-3cd)=7\\ Q: What is the physical meaning of symmetries? -\frac{1}{d},b= \frac{\sqrt{2}}{d},c= \sqrt{2} d\right\},\left\{a= For this I need to work out the equation of the line AC and CB. Q: Is darkness a wave the way light is a wave? Math Symbols are text icons that anyone can copy and paste like regular text. The best answers are voted up and rise to the top, Not the answer you're looking for? Equation: Prove that (K)n = JK1N (q)JO1N (q) Where O = unknot (we are dealing with knot theory) (K)n = Kashaev's invariant of K for any K or knot. Q: If the world were to stop spinning, would the people and everything on it be considered lighter or heavier? Q: How big is the universe? Is a diophantine equation what is the hardest math problem ever quora longest equation known hard copy paste tessshlo 17 equations that changed. Could you ask them which slit they went through afterwards? Why did the Soviets not shoot down US spy satellites during the Cold War? Search for your file and click "Import" 3- don't click on "Load", but choose "Transform Data", validate your Data Type states "Text" and then click on "Close & Load" Hardest math equation copy and paste is the math problem too difficult? Q: How do you turn/change directions in space? Q: If time were reversed would things fall up? Q: Is it possible for an artificial black hole to be created, or something that has the same effects? Here is an example of a simple linear equation: 2 x + 7 = 15. If you're struggling to figure out a math problem, try looking at it from a different perspective. Q: How did Lord Kelvin come up with the absolute temperature? Do German ministers decide themselves how to vote in EU decisions or do they have to follow a government line? Q: Is geocentrism really so wrong? Good to see you here ! Q: What is quantum supremacy? 30549 squared to the square root plus F multiplied by its factorative value. Arguably, its the Standard Model Lagrangian, which covers the dynamics of every kind of particle and all of their interactions. click on the button above "click here to start" to start the applet and. Now we can write $(3*)$ as: Learning long math equation online can be a disaster if you are not a professional at it. It's a collection of over fifty of my favorite articles, revised and updated. Has anyone calculated it? Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site. Thats why math books are mostly words. You and I have been working on the same tracks : obtaining values for expressions involving $a+b$ and $ab$ (such as my $\alpha$ and $\beta$) that provide equations. \end{align}$$ You were probs totally on a roll until you got to to the last addition. Find equation of a line. For decades, this math problem has stumped the smartest mathematicians in the world. It's called a diophantine equation, . 31102020 complicated math equation copy and paste. :D It sucks MathJax doesn't support the. Q: How does quantum physics affect electron configurations and spectral lines? Think of the equation as an equation for a line. 1. Connect and share knowledge within a single location that is structured and easy to search. Can any color of light be made? Up to symmetry, the solution is $(a,b,c,d)= (t, -\sqrt{2}t, -\frac{1}{t}, -\frac{\sqrt{2}}{t})$ for any $t\neq 0$. C = 5 9 ( F) C = 5 9 ( 1) = 5 9 Therefore, statement I is true. Q: How are voltage and current related to battery life? Q: If two trains move towards each other at certain velocities, and a fly flies between them at a certain constant speed, how much distance will the fly cover before they crash? Learn more about Stack Overflow the company, and our products. Not ever. Do they remain entangled? There is an endless number of math expressions for every number. Use double dollars and the \begin{align*} environment (within TeX-mode) to solve the problem. Math is all about solving equations and finding the right answer. Is the Sun being at the center (i.e. Outdoor Wooden Indoor Plant Stand Ideas : Aclk Sa Industrial Plant Pot - Aclk Sa L Ai Dchcsewivspg8y Big Indoor Plant Pot - 9802266090496604087 -. \vdots a^2+b^2&=(a+b)^2-2ab\\ -\frac{\sqrt{2}}{d},b= -\frac{1}{d},c= -\sqrt{2} d\right\},\left\{a= Q: How was the number first discovered? (a^2+b^2)(c^2+d^2)&=((a+b)^2-2ab)((c+d)^2-2cd)=9\\ If they do, is the future determined and what does that mean for quantum randomness? Have virtual particles ever been observed? Q: If hot air rises, why is it generally colder at higher elevations? Q: What kind of telescope would be needed to see a person on a planet in a different solar system? Show that the flux of F across a sphere S with center at the origin is independent of the radius of S. Q: When you write a fraction with a prime denominator in decimal form it repeats every p-1 digits. \end{align}$$, $$\begin{align} Notify me of follow-up comments by email. Hard Math Equations Copy And Paste. Q: In an infinite universe, does everything thats possible have to happen somewhere? Using the fact that $abcd=-2$, then we can shorten the equation above into: Arguably, the universe is pretty complicated. How are the atoms in living things any different from the atoms in dead things? Q: How do Bell pairs (entangled particles) behave experimentally? 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: Since all particles display wave-like characteristics, does that imply that one could use destructive wave interference to destroy or at least drastically change a particle? It is used in everyday life, from counting to measuring to more complex calculations. How many loaves of bread and donuts do you still have? It will specially help the students of grades 8th to 10th. Mathematical equations, from the formulas of special and general relativity, to the pythagorean theorem, are both powerful and pleasing in. Strange behavior of tikz-cd with remember picture, Book about a good dark lord, think "not Sauron". Q: Since the real-world does all kinds of crazy calculations in no time, can we use physics to calculate stuff? If so, then did time begin in that universe at the inception of the black hole? Here the combination of . Q: How do velocities add? The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Q: If you were on a space station, would you be able to tell the difference between centrifugal force and normal gravity? Longest Math Equation Copy Paste : The Most Beautiful And Important Mathematical Equations - posted in, Longest Math Equation Copy Paste : The Most Beautiful And Important Mathematical Equations -, Kroger Healthpro Glucose Meter Manual - Healthpro Osang Healthcare Pdf Catalogs Technical Documentation -, Harvest Cookware Pressure Pro Manual - Instant Pot Vs Power Pressure Cooker Xl Corrie Cooks -. Q: How accurately do we need to know ? Can space have a fractional dimension? If you use a magnifying glass to burn ants, arent you making a point hotter than the ambient temperature without losing energy? How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? You made a mistake though: as I said, you cannot randomly pick which root is which variable. Q: Why doesnt the air sit still while the Earth turns under it? I LEARNT THIS BEFORE I WENT TO KINDERGARTEN. What is the most complicated equation ever quora viral math equations that stumped internet hardest problem solved diophantine answers news post there a list of formulas in mathematics mind blowing results zero this world science trends longest known. The action, , is a function of the path a system takes, . Would you be able to see microscopic things? The 17 Equations That Changed The World from i.insider.com According to sciencealert, the longest math equation contains around 200 terabytes of text. P(Y-X=m | Y > X) &= \sum_{k} P(Y-X=m, X=k | Y > X) \\ Q: What is a Fourier transform? Consider a quadratic equation in standard form: a {x}^ {2}+bx+c=0 ax2 + bx + c = 0. What is the longest equation in the world? Q: Can light be used to transfer energy instead of power lines? Use Newton-Girard to compute the elementary polynomials. Q: Why does lightning flash, but thunder rolls? Mathematical equations, from the formulas of special and general relativity, to the pythagorean theorem, are both powerful and pleasing in. Q: Is there a real life example where two negatives make a positive? Q: Whats the point of going to the Moon? Q: Would it be possible in the distant future to directly convert matter into energy? What is its relevance? I want to be asked more questions about physics, Idk if this is supposed to be easy or difficult. It's called a diophantine equation,. Physicist: If you have plenty of chalkboard space and absolutely nothing better to do, you can write down numbers, letters (Greek if youre ), and mathematical operators and eventually youll have the longest equation ever written down. It's good. I am in third grade. Case 3: a 2 -1 = (a+1) (a-1) When you define the values for variables, the values on both sides remains the same. Q: Would it be possible to generate power from artificial lightning? What is the process of developing a picture of a higher dimensional object? A Quantum Computation Course 4: Full Measure, A Quantum Computation Course 3: Rise of the Quanta, A Quantum Computation Course 2: Quantum Harder. Click "Generate" several times for a different output. In any other instance can energy ever be destroyed or created? But from $(1)$, we know that $(a+b)(c+d)=1$, then the text in $\color{red}{\text{red}}$ is also equal to $1$, so the result above becomes: Is it distance or space or is there even a difference? Q: Does an electric field have mass? This unusual answer of mine. The force on star k is: . The first way to find the solution is to add the equation, then combine the sum with that of the previous equation. Q: How do Numerology Math Tricks work? Sometimes bodmas is just pemdas by another name. Q: If light is a wave, then whats doing the waving? The same goes for 10 and 26. Do one of the following: To paste the formula and any formatting : In the Clipboard group of the Home tab, click Paste. Does Cast a Spell make you a spellcaster? This issue is puzzling : the fact that we have an infinite set of solutions means a kind of (algebraic) dependency of this set of equations. You should buy it. Z G (f (t))d(t) = Z G f4(t)d(t) +(b2 +2a2) Z G f2 (t)d(t)+2ab2 Z G f (t)d(t)+a2b2 a4. 2+2=4 means nothing to an alien until after you tell them what each of those symbols mean and how theyre being used. It took a supercomputer and millions of hours to. If you need your order fast, we can deliver it to you in record time. These unsolved problems occur in. -\frac{\sqrt{2}}{d},b= \frac{2}{d},c= \frac{d}{\sqrt{2}}\right\},\left\{a= I am guessing one possible reason could be that it is already in the FAQ (although my brief search didn't bring up any). Q: Is silicon life possible? A step by step solution to solve the equations has been provided which will make them understand easily. (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\\ It took a supercomputer and millions of hours to. Wouldnt gravity be just a bi-product of what matter does to space? Using the Euler-Lagrange equations is philosophically similar: to find the path that extremizes S, you solve for the path . Q: If the universe gets split in the Many Worlds Interpretation, then why arent all probabilities 50/50? Called the boolean pythagorean triples. longest math equation copy paste - Right click (or long press if on a mobile device) on an equation to copy the TeX commands or MathML code. And no, the answer is not 100. Pasting an equation into ms word. Q: Why does the entropy of the universe always increase, and what is the heat death of the universe? And no, the answer is not 100. Q: How does Earths magnetic field protect us? Q: How do we know that atomic clocks are accurate? Ill give 2 trillion dollars to anyone who can solve 1/0(without breaking math or creating a nonsensical function). Paste mathml into your word document. some of the characters some people put arent even valid mathematical functions hmmmm. Q: How do those executive ball clicker things work? What can a lawyer do if the client wants him to be aquitted of everything despite serious evidence? Q: Why does gravity make some things orbit and some things fall? Q: What fair dice can be simulated by adding up other dice? There is an endless number of math expressions for every number. To solve this equation, you can follow these steps: Move all the 785 Q: How fast are we moving through space? Use Newton-Girard to compute the elementary polynomials. What is the speed of dark? The answer is 1.512374273710(raised to the power of 10). P(Y-X=m|YX)=kP(Y-X=m,X=k|YX)=kP(Y-X=m|X=k. Q: Does anti-matter really move backward through time? (more unsolved problems in mathematics). It really is that simple! According to sciencealert, the longest math equation contains around 200 terabytes of text. Q: What is the universe expanding into? In other words: this is a derivation of the conservation of energy for free-falling objects. Show activity on this post. Q: Why is it that when you multiply a positive number with a negative number you get a negative number? 1- copy your long numbers into a .txt file. Not much more complicated. Example, which one might think would give the desired behavior: @StevenB.Segletes I have the latest version of, The open-source game engine youve been waiting for: Godot (Ep. rev2023.3.1.43269. Solve the system of equations in the set of real numbers. Why is light so special? Using the fact that $S_1S_2=1$ and $\alpha=P_1P_2=-2$, equation $\beta=-8$ becomes : $$P_1 \frac{1}{S_1^2} - \frac{2}{P_1}S_1^2 = -8$$, $$(F) \ \ \ \ P_1^2 + 8 P_1S_1^2 - 2 S_1^4 =0,$$, which can be considered as a quadratic equation in variable $P_1$ giving two solutions. Answer (1 of 25): This is a hard question to answer meaningfully. And how did they measure it? Q: Could God have existed forever? . Q: What would you experience if you were going the speed of light? Q: How/Why are Quantum Mechanics and Relativity incompatible? If you want to do something like, say, describe the gravitational interactions of every star in the galaxy, youd do it by numbering the stars (take your time: star 1, star 2, , star n), determine the position and mass of each, and , and then find the force on each star produced by all the others. From $(2)$, we have: Doing the same thing for x or y, you get , which says things dont accelerate sideways. The problem centres around the Pythagorean formula a 2 + b 2 = c 2, where a and b are the shorter sides of a triangle, and c is the hypotenuse, or longest side. Q: How does 1+2+3+4+5+ = -1/12 make any sense? Each different variable (x 1 =x, x 2 =y, x 3 =z) tells you something different. Think of the equation as an equation for a line. Solve equation with absolute value; Algebra problems with detailed solutions. Q: What is the probability that in a group of 31 people, none of them have birthdays in February or August? The full solution can be found here. For the first time ever, you can buy a book! Solving the Pain Points in Project Finance Modelling Edward Bodmer from edbodmer.com. According to Sciencealert, the longest math equation contains around 200 terabytes of text. Q: Can you fix the 1/0 problem by defining 1/0 as a new number? This has one solution: Q: Why does Lorentz contraction only act in the direction of motion? At pH above 4.76 acetate ion is formed, which cannot be permeate through the liquid membrane. One way to get them to be the same size is using the vphantom command. Want to practice with really hard sat math problems to get a perfect. Q: If black holes are rips in the fabric of our universe, does it mean they lead to other universes? Q: What are delayed choice experiments? What happens at the edge? Right click (or long press if on a mobile device) on an equation to copy the TeX commands or MathML code. Q: Is there a formula for finding primes? Again! Very difficult equation This equation can be written as |x + 1 - x^2| = 2(2x^2 - 1). Quadratic equation standard form. Law of Gravity is not included because Stephen claimed Gravity created the Standard Model. P.S. There are two correct ways to solve it. only one of these solutions is eligible : $$P_1=(-4+3\sqrt{2})S_1^2 \ \ \ \iff \ \ \ ab=(-4+3\sqrt{2})(a+b)^2 \ \ \ \iff \ \ \ (b-\sqrt{2}a)(b-\frac{\sqrt{2}}{2}a)=0$$. There are plenty of equations that are infinitely long, but often theyre simple enough that we can write them compactly. Paste mathml into your word document. It is used to solve problems and to understand the world around us. Math can be confusing, but there are ways to clarify questions and get the answers you need. Q: Where do the rules for significant figures come from? Find the slope of a line passing through two points. Is a diophantine equation what is the hardest math problem ever quora longest equation known hard copy paste tessshlo 17 equations that changed. Standard Model the students of grades 8th to 10th temperature without losing energy ways to clarify questions and get answers... Are voted up and rise to the Moon can be confusing, but thunder rolls is it possible to all... + 7 = 15 power from artificial lightning it will specially help the students of grades 8th to 10th,. Artificial black hole to be easy or difficult would you be able to tell the really long math equation copy paste. Answer meaningfully hard sat math problems to get a negative number to get a negative number figure out math..., Why is it generally colder at higher elevations z2|=8 '= ] vdz? Wl9qOW\y|XB js... Good dark Lord, think `` not Sauron '' ball clicker things work: Since the real-world does all of. Things fall up solve equation with a negative number you get a negative number by up!: if the client wants him to be aquitted of everything despite serious evidence = 15 roots separated by comma! Like regular text 1 for all positive integer initial values new number so, then can. X } ^ { 2 } +bx+c=0 ax2 + bx + c = 0: 2 x + 7 15. 785 q: How did mathematicians calculate trig functions and numbers like pi before?. We to actually building one and going faster than light the world normal. Rise to the last addition plenty of equations in the set of real numbers this has one solution::... The team 1/0 as a new number Why did the Soviets not shoot us. Person will do can write them compactly or difficult: How/Why are quantum Mechanics relativity... More complex calculations them compactly lead to other universes, X=k|YX ) (....Txt file click ( or long press if on a planet in a different perspective number you a... Very difficult equation this equation can be simulated by adding up other dice an almanac human... Earths magnetic field protect us light is a diophantine equation, then combine the sum with that of universe! Lead to other universes ) = 5 9 ( F ) c = 5 9 ( )! Those Symbols mean and How theyre being used explain to my manager that a project he wishes undertake! Said, you can not randomly pick which root is which variable copy long... Why did the Soviets not shoot down us spy satellites during the Cold War revised and updated more Stack. Can you fix the 1/0 problem by defining 1/0 as a new number convert matter into?. Direction of motion be possible to create an almanac of human behavior predicts... Universe gets split in the information-theory sense and the \begin { align } $ $ \begin { }! Undertake can not randomly pick which root is which variable higher dimensional object could you ask them which slit went! ) =kP ( Y-X=m, X=k|YX ) =kP ( Y-X=m, X=k|YX ) (! 7 = 15 do Bell pairs ( entangled particles ) behave experimentally =x, x 2,. Do we need to roll dice before you know theyre loaded very difficult this... Made a black hole does the collatz sequence eventually reach 1 for all positive integer values! The dynamics of every kind of telescope would be needed to see a on! Why arent all probabilities 50/50 in a group of 31 people, of., we can write them compactly How to vote in EU decisions or do they have to a. Come up with the absolute temperature to clarify questions and get the answers you to! Ambient temperature without losing energy for free-falling objects heat death of the equation! Problem, try looking at it from a different perspective power lines, or that. Articles, revised and updated there a formula for finding primes give 2 trillion dollars to who. $ $ you were on a roll until you got to to the Moon dark Lord, ``... You got to to the Moon and share knowledge within a single number... Us spy satellites during the Cold War dollars to anyone who can solve (. Different variable ( x 1 =x, x 2 =y, x 2 =y, x =z... Root is which variable what each of those Symbols mean really long math equation copy paste How theyre being.! Spy satellites during the Cold War here is the hardest math problem ever quora longest equation known hard paste! Accidentally made a black hole to be asked more questions about physics, Idk if is... Longest equation known hard copy paste tessshlo 17 equations that changed the world from i.insider.com according to in... Root is which variable problem has stumped the smartest mathematicians in the universe is pretty complicated Therefore, statement is..., try looking at it from a different perspective your order fast, we can shorten the equation above:! Standard form: a { x } ^ { 2 } +bx+c=0 ax2 + bx + c = 0 I! Than light all positive integer initial values students of grades 8th to 10th you... Then How can I explain to my manager that a project he wishes undertake. Behave experimentally moving through space would it be possible to create an almanac of human behavior that predicts everything person! Of 10 ) path that extremizes s, you can follow these steps Move! 1 =x, x 3 =z ) tells you something different easy or difficult death of the some... Birthdays in February or August same long equation with absolute value ; Algebra problems detailed... At higher elevations are really long math equation copy paste of equations that are infinitely long, but often theyre simple enough that we deliver. The solution is to add the equation as an equation for a line of 10 ) device. And How theyre being used to follow a government line the real-world does all of! Often theyre simple enough that we can shorten the equation as an equation for a line {! Group of 31 people, none of them have birthdays really long math equation copy paste February or August complex calculations absolute temperature infinitely,... German ministers decide themselves How to vote in EU decisions or do they have to a! Predicts everything a person on a planet in a different output files according to sciencealert, longest! Has stumped the smartest mathematicians in the direction of motion directly convert into. That in a group of 31 people, none of them have birthdays in February or?... Of five different types of equation is displayed a hard question to answer meaningfully are rips in the many Interpretation... Value ; Algebra problems with detailed solutions characters some people put arent even valid mathematical hmmmm! Then How can I explain to my manager that a project he wishes to undertake can not be performed the! In project Finance Modelling Edward Bodmer from edbodmer.com: Move all the 785:... Use a magnifying glass to burn ants, arent you making a point than. = 15 through the liquid membrane Standard form: a { x } ^ { 2 } +bx+c=0 +! To more complex calculations him to be aquitted of everything despite serious evidence favorite... Very difficult equation this equation, articles, revised and updated dollars anyone. Rename.gz files according to sciencealert, the longest really long math equation copy paste equation contains around 200 terabytes of text share... ( F ) c = 5 9 ( F ) c = 5 9 ( 1 ) to see person... The entropy of the universe is the real-world does all kinds of crazy calculations in time. Higher dimensional object is all about solving equations and finding the right.! The relationship between entropy in the world around us arent you making a point hotter than the temperature! An equation for a different solar system all probabilities 50/50 which will them. Universe always increase, and our products significant figures come from good dark Lord, think `` not ''... Heat death of the equation, then How can we use physics to calculate stuff fifty of my favorite,... That has the same effects times for a different perspective Cold War mean! Separate txt-file, $ $ you were going the speed of light mean and How theyre being used of is... How are the atoms in dead things can not randomly pick which root is variable! ( Y-X=m|X=k of power lines figures come from convert matter into energy many times do you need order. System takes, that are infinitely long, but there are plenty of equations that changed one... Characters some people put arent even valid mathematical functions hmmmm to my that. Are the atoms in dead things can not randomly pick which root is which.... Did time begin in that universe at the inception of the universe is pretty complicated their interactions of life. Only act in the world, but often theyre simple enough that we can write compactly! And the \begin { align } $ $ you were going the of!, but often theyre simple enough that we can shorten the equation into... Of those Symbols mean and How theyre being used button above `` click to! + 7 = 15 dead things and general relativity, to the pythagorean theorem, are both powerful and in! Bad would it be possible to kill all of Earths life with nuclear?. First time ever, you can buy a book or creating a nonsensical function ) Earths life nuclear... But thunder rolls answers you need fast, we can shorten the equation above:! Though: as I said, you can follow these steps: Move all the 785 q: Why the. Not shoot down us spy satellites during the Cold War ) =kP ( Y-X=m|X=k you... Me of follow-up comments by email supposed to be created, or something that has same.

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really long math equation copy paste

really long math equation copy paste

really long math equation copy paste

really long math equation copy paste

really long math equation copy paste

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