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Apr 9, 2014 · Usually if you are on top of the course, you can check the answer and if wrong, rework the problem correctly (if needed, checking the book). Also, working problems can be a chore--having immediate feedback is good psychology.
- The Riemann Hypothesis
- The Collatz Conjecture
- The Erdős-Strauss Conjecture
- Equation Four
- Goldbach's Conjecture
- Equation Six
- The Whitehead Conjecture
- Equation Eight
- The Euler-Mascheroni Constant
- Equation Ten
Equation: σ (n) ≤ Hn +ln (Hn)eHn 1. Where n is a positive integer 2. Hn is the n-th harmonic number 3. σ(n) is the sum of the positive integers divisible by n For an instance, if n = 4 then σ(4)=1+2+4=7 and H4 = 1+1/2+1/3+1/4. Solve this equation to either prove or disprove the following inequality n≥1? Does it hold for all n≥1? This problem is ref...
Equation: 3n+1 1. where n is a positive integer n/2 2. where n is a non-negative integer Prove the answer end by cycling through 1,4,2,1,4,2,1,… if n is a positive integer. This is a repetitive process and you will repeat it with the new value of n you get. If your first n = 1 then your subsequent answers will be 1, 4, 2, 1, 4, 2, 1, 4… infinitely....
Equation: 4/n=1/a+1/b+1/c 1. where n≥2 2. a, b and c are positive integers. This equation aims to see if we can prove that for if n is greater than or equal to 2, then one can write 4*n as a sum of three positive unit fractions. This equation was formed in 1948 by two men named Paul Erdős and Ernst Strauss which is why it is referred to as the Erdő...
Equation: Use 2(2∧127)-1 – 1 to prove or disprove if it’s a prime number or not? Looks pretty straight forward, does it? Here is a little context on the problem. Let’s take a prime number 2. Now, 22 – 1 = 3 which is also a prime number. 25 – 1 = 31 which is also a prime number and so is 27−1=127. 2127 −1=170141183460469231731687303715884105727 is a...
Equation: Prove that x + y = n 1. where x and y are any two primes 2. n is ≥ 4 This problem, as relatively simple as it sounds has never been solved. Solving this problem will earn you a free million dollars. This equation was first proposed by Goldbach hence the name Goldbach's Conjecture. If you are still unsure then pick any even number like 6, ...
Equation: Prove that (K)n = JK1N(q)JO1N(q) 1. Where O = unknot (we are dealing with knot theory) 2. (K)n = Kashaev's invariant of K for any K or knot 3. JK1N(q) of K is equal to N-colored Jones polynomial 4. We also have the volume of conjecture as (EQ3) 5. Here vol(K) = hyperbolic volume This equation tries to portray the relationship between quan...
Equation: G = (S | R) 1. when CW complex K (S | R) is aspherical 2. if π2 (K (S | R)) = 0 What you are doing in this equation is prove the claim made by Mr. Whitehead in 1941 in an algebraic topology that every subcomplex of an aspherical CW complexthat is connected and in two dimensions is also spherical. This was named after the man, Whitehead co...
Equation: (EQ4) 1. Where Γ = a second countable locally compact group 2. And the * and r subscript = 0 or 1. This equation is the definition of morphism and is referred to as an assembly map. Check out the reduced C*-algebrafor more insight into the concept surrounding this equation.
Equation: y=limn→∞(∑m=1n1m−log(n)) Find out if y is rational or irrational in the equation above. To fully understand this problem you need to take another look at rational numbers and their concepts. The character y is what is known as the Euler-Mascheroni constant and it has a value of 0.5772. This equation has been calculated up to almost half o...
Equation: π + e Find the sum and determine if it is algebraic or transcendental. To understand this question you need to have an idea of algebraic real numbersand how they operate. The number pi or π originated in the 17th century and it is transcendental along with e. but what about their sum? So Far this has never been solved.
Nov 20, 2023 · The keywords for math word problems used in operations are a strategy that helps the math problem make sense and draw connections to how it can be answered. Basically, when using key words, students must decipher whether they need to solve the math equation via addition, subtraction, multiplication, or division.
- Poincaré conjecture. The Poincaré conjecture is a famous problem in topology, initially proposed by French mathematician and theoretical physicist Henri Poincaré in 1904.
- The prime number theorem. The prime number theorem long stood as one of the fundamental questions in number theory. At its core, this problem is concerned with unraveling the distribution of prime numbers.
- Fermat’s last theorem. Fermat’s last theorem is one of the problems on this list many people are most likely to have heard of. The conjecture, proposed by French mathematician Pierre de Fermat in the 17th century, states that it’s impossible to find three positive integers, a, b, and c, that can satisfy the equation a + b = c for any integer value of n greater than 2.
- Classification of finite simple groups. This one is a bit different from the others on the list. The classification of finite simple groups, also known as the “enormous theorem,” set out to classify all finite simple groups, which are the fundamental building blocks of group theory.
- The cost of petrol rises by 2 cents a liter. last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20.
- Teachers divided students into groups of 3. Each group of 3 wrote a report that had 9 pictures in it. The students used 585 pictures altogether. How many students were there in all?
- Vera and Vikki are sisters. Vera is 4 years old and Vikki is 13 years old. What age will each sister be when Vikki is twice as old as Vera?
- A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work?
Aug 1, 2022 · 1. People on a Train 🚂. Country of origin: England. In a since-deleted tweet, a mum from England tweeted this word problem in a test meant for kids aged 6 to 7 in 2016. It went viral and even some adults were having trouble figuring out the answer. The Question: There were some people on a train. 19 people get off the train at the first stop.
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Want to put your math skills to the test? Check out our top math questions that are sure to challenge and engage you. From algebra to calculus, these problems cover a range of topics and difficulty levels.
