For decades, a math puzzle has stumped the smartest mathematicians in the world. x3+y3+z3=k, with k being all the numbers from one to 100, is a Diophantine equation that’s sometimes known as “summing of three cubes.”
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What is the hardest physics equation?
Yet only one set of equations is considered so mathematically challenging that it’s been chosen as one of seven “Millennium Prize Problems” endowed by the Clay Mathematics Institute with a $1 million reward: the Navier-Stokes equations, which describe how fluids flow.
What is the most famous equation in physics?
The equation E = Mc2 is perhaps the most famous equation of twentieth- century physics. It is a statement that mass and energy are two forms of the same thing, and that one can be converted into the other (ibid., p. 493).
What is the hardest question in physics?
Quantum Gravity The biggest unsolved problem in fundamental physics is how gravity and the quantum will be made to coexist within the same theory. Quantum Gravity [1] is required to make the whole of physics logically consistent.
What are the 7 unsolved math problems?
Clay “to increase and disseminate mathematical knowledge.” The seven problems, which were announced in 2000, are the Riemann hypothesis, P versus NP problem, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier-Stokes equation, Yang-Mills theory, and Poincaré conjecture.
What is x3 y3 z3 K?
The equation x3+y3+z3=k is known as the sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a “Diophantine equation” — a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
What is the most beautiful equation?
Euler’s identity is an equality found in mathematics that has been compared to a Shakespearean sonnet and described as “the most beautiful equation.” It is a special case of a foundational equation in complex arithmetic called Euler’s Formula, which the late great physicist Richard Feynman called in his lectures (opens …
Is there a formula for the universe?
The formula toc=h/moc expresses the electro-gravitational field bound to M2VP . Protons ( M2VP ) represent the stable particles of matter of the expanding universe.
What is the world’s most hardest math question?
The Riemann hypothesis is one of the Millenium Prize Problems, a list of unsolved math problems compiled by the Clay Institute. The Clay Institute has offered a $1 million prize to anyone who can prove the Riemann hypothesis true or false.
What is the longest equation?
The longest math equation contains around 200 terabytes of text called the Boolean Pythagorean Triples problem. It was first proposed by California-based mathematician Ronald Graham, back in the 1980s.
What is the chaos theory equation?
Chaos Theory This equation is May’s logistic map. It describes a process evolving through time — xt+1, the level of some quantity x in the next time period — is given by the formula on the right, and it depends on xt, the level of x right now. k is a chosen constant.
What are the 3 formulas in physics?
The three equations are, v = u + at. v² = u² + 2as. s = ut + ½at²
Which is harder math or physics?
Physics is harder. If you major in physics then you’ll end up taking almost as much math as the math majors.
What is the world’s hardest question?
The question, “What do we know and how do we know it?” occupies the mind of the epistemologist. The prevailing theory of truth, at least among the public and certainly among scientists, is the correspondence theory, which states that truth corresponds with facts and reality.
What is the biggest unanswered question?
- How exactly did life begin?
- Why do we dream?
- Is there a pattern behind prime numbers?
- What is the cure for cancer?
- Can we travel through time?
- Is our universe the only one?
- What exactly is consciousness?
- Where is all the antimatter?
Why is 3×1 impossible?
The 3x+1 problem concerns an iterated function and the question of whether it always reaches 1 when starting from any positive integer. It is also known as the Collatz problem or the hailstone problem. . This leads to the sequence 3, 10, 5, 16, 4, 2, 1, 4, 2, 1, … which indeed reaches 1.
Has 3x 1 been solved?
After that, the 3X + 1 problem has appeared in various forms. It is one of the most infamous unsolved puzzles in the word. Prizes have been offered for its solution for more than forty years, but no one has completely and successfully solved it [5].
What is the 1 million dollar math problem?
The Riemann hypothesis – an unsolved problem in pure mathematics, the solution of which would have major implications in number theory and encryption – is one of the seven $1 million Millennium Prize Problems. First proposed by Bernhard Riemann in 1859, the hypothesis relates to the distribution of prime numbers.
How many numbers have been tested for Collatz conjecture?
The Collatz conjecture states that the orbit of every number under f eventually reaches 1. And while no one has proved the conjecture, it has been verified for every number less than 268. So if you’re looking for a counterexample, you can start around 300 quintillion. (You were warned!)
What is the sum of cubes formula?
The sum of cubes formula is one of the important algebraic identity. It is represented by a3 + b3 and is read as a cube plus b cube. The sum of cubes (a3 + b3) formula is expressed as a3 + b3 = (a + b) (a2 – ab + b2).
What is the formula of x3 y3 z3 3xyz?
Solution : We know that x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + z2 – xy – yz – zx).
What is the God equation of mathematics?
The equality + = is called Euler’s Identity, thanks to the 18th century mathematician, Leonhard Euler. In 1988 it was voted the most beautiful formula in mathematics.
Is there an equation for love?
Love can not be expressed in equation. Rather it is an emotional feeling and state of mind. Since love involves emotional; feelings, a mathematical equation cannot be used to express.
Why is i to the power of i real?
If you are familiar with complex numbers, the “imaginary” number i has the property that the square of i is -1. It is a rather curious fact that i raised to the i-th power is actually a real number! In fact, its value is approximately 0.20788.
What is the formula of life?
The secret formula of life is E (Events) + R (Response) = O (Outcome).