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2. Collatz conjecture - Wikipedia

   en.wikipedia.org/wiki/Collatz_conjecture

   As an example, 9 780 657 631 has 1132 ... (0 1 1 0 0 1 1) is produced by the fraction + + + =. For a one ... The simplest math problem no one can solve (short video ...

3. Packing problems - Wikipedia

   en.wikipedia.org/wiki/Packing_problems

   Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packaging, storage and ...

4. Extraneous and missing solutions - Wikipedia

   en.wikipedia.org/wiki/Extraneous_and_missing...

   Extraneous and missing solutions. In mathematics, an extraneous solution (or spurious solution) is one which emerges from the process of solving a problem but is not a valid solution to it. [1] A missing solution is a valid one which is lost during the solution process. Both situations frequently result from performing operations that are not ...

5. List of unsolved problems in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_unsolved_problems...

   Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

6. List of paradoxes - Wikipedia

   en.wikipedia.org/wiki/List_of_paradoxes

   Birthday paradox: In a random group of only 23 people, there is a better than 50/50 chance two of them have the same birthday. Borel's paradox: Conditional probability density functions are not invariant under coordinate transformations. Boy or Girl paradox: A two-child family has at least one boy.

7. Division (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Division_(mathematics)

   logarithm {\displaystyle \scriptstyle {\text {logarithm}}} v. t. e. Division is one of the four basic operations of arithmetic. The other operations are addition, subtraction, and multiplication. What is being divided is called the dividend, which is divided by the divisor, and the result is called the quotient.