Questions tagged [pattern-recognition]

1. From a samples of a small samples of mathematical objects, conjecture a common pattern to all of them. This includes "guess the next terms in the sequence" question (consider checking OEIS first). Please provide as much context as possible. 2. Mathematical ideas related to pattern recognition, subfields of AI and statistics. Please check first if StackOverflow, Computer Science Stack Exchange, or Cross Validated is more appropriate.

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Which one of the patterns below share the same rule with this pattern? [closed]

Edit: Guys this is different as there are options now. So either prove that all of the answers are wrong or it is one of the answers. I say given this context answer must be A and my friend says A ...
38 views

Check if number is present in the original list

My question is: given a list of variable size, of random natural numbers, generally no larger than 100 and that are not repeated, for example: $[3,5,8,9]$ Is it possible to know if the number 4, for ...
60 views

Trouble with combinatorial geometry

Suppose that the figure at right consists of thirty rods of equal length that form twelve pentagonal figures of equal size, which form the twelve sides of a regular dodecahedron. If any two rods are ...
1 vote
64 views

Formula for Sum of Numbers with Consecutive Digits [closed]

Let's say we have a number $n$ that consists of $b$ digits, all of which are the same digit $x$. Then we have another number $m$ that has $b - 1$ digits, also all the same digit $x$. How would you ...
• 21
35 views

What kind of a group of numbers will exhibit such property? [closed]

Let us take a set of numbers, S. For every group of any numbers taken from S, their average is always an integer. What property or pattern do the numbers of S will definitely follow?
1 vote
36 views

Recognize geometric pattern in natural form

UPDATED Although my question arises from biology, it’s about geometry. I’m interested in various natural structures: fractals, packing, hyperuniformity etc. Here is photo of pores of tinder fungus or ...
• 804
142 views

What formula could be making this number-triangle?

The coefficients of a polynomial in $\lambda$ in the Taylor expansion around $r=0$ of the integral $$\int_{1-r}^{1+r} \frac{1+z^2-r^2}{z\sqrt{4 z^2 r^2 - (-1 + z^2 +r^2)^2}} \exp(-z/\lambda)\;dz$$ ...
101 views

Trying to figure out a pattern's formula for a game. [closed]

Some basic information is that the game starts with 6 inventory slots and the first additional slot (7th slot) costs 400 coins, the 8th slot costs 857, the 9th 1339, and so on. The game is called Sol'...
1 vote
79 views

Placing $a, b, c,$ $a, a, b, b, c, c,$ $a, a, a, b, b, b, c, c, c, \dots$ into rows of $N$

Imagine this sequence made of letters $\{a, b, c\}$: $$a_1, b_1, c_1, a_2, a_2, b_2, b_2, c_2, c_2, a_3, a_3, a_3, b_3, b_3, b_3, c_3, c_3, c_3, \dots$$ and we will divide it into groups of $N$ and ...
131 views

Number of Salem–Spencer subsets of $\{1,2,3,\dots ,n\}$

I was wondering about sets that do not contain any $3$-term AP, and came to know that the official name of such a set is Salem–Spencer set. I was considering the question of counting the number of ...
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