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Primitive permutation group by

A **primitive permutation group** is a specific type of group in abstract algebra, particularly within the field of group theory. A permutation group acts on a set, which is usually a set of points, and is said to be primitive if it satisfies certain conditions concerning the ways in which it partitions the set. More formally, a permutation group \( G \) acting on a set \( X \) is called **primitive** if it preserves the structure of the set in a fundamental way.

Recamán's sequence by

Recamán's sequence is a well-known mathematical sequence defined recursively. It is named after the mathematician Bernardo Recamán. The sequence is defined as follows: 1. The first term \( a(0) \) is 0: \( a(0) = 0 \) 2.

Spt function by

The Spt function is often associated with statistical processing and time-series analysis, but the term could refer to several different contexts depending on the field. Here are a couple of possible interpretations: 1. **Spt as a Mathematical Function**: In mathematics or statistics, "Spt" could stand for a "support" function, which describes the set of points in a given space where a function is defined or has specific values.

Zeisel number by

A Zeisel number is a specific type of number that arises in the context of number theory, particularly in the study of integer sequences. It is defined as the smallest positive integer \( n \) for which the sum of the digits of \( n \) in base \( b \) is equal to \( n \).

Untouchable number by

An untouchable number is a positive integer that cannot be expressed as the sum of the proper divisors (the divisors excluding the number itself) of any positive integer. In other words, there is no positive integer for which its proper divisors sum up to the untouchable number.

Weak ordering by

Weak ordering, in the context of preference relations and mathematics, refers to a situation in which items can be compared and ordered based on some criteria, but the order does not strictly define a comprehensive ranking. In weak ordering, two or more items can be considered equivalent in terms of preference, meaning that they can be equally preferred or ranked at the same level without establishing a definitive hierarchy among them.

136 (number) by

The number 136 is an integer that comes after 135 and before 137. It is an even number and can be expressed in various ways, such as: - In Roman numerals, it is written as CXXXVI. - In binary, it is represented as 10001000. - In hexadecimal, it is represented as 88.

10,000 by

10,000 is a numerical value that can represent a quantity, an amount, or a measure in various contexts. It can refer to a count of items, a sum of money, a measurement in a specific unit, or be used in mathematical calculations. In the context of numbers, it is a four-digit number that follows 9,999 and precedes 10,001.

101 (number) by

The number 101 has several meanings and contexts depending on its usage: 1. **Mathematics**: In mathematics, 101 is a prime number that follows 100 and precedes 102. It is an odd number and does not have any divisors other than 1 and itself. 2. **Education**: In an academic context, "101" is often used to denote an introductory course in a particular subject.

105 (number) by

The number 105 is a whole number that falls between 104 and 106. It is an odd number and can be expressed in several forms: 1. **Mathematical Properties:** - It is a composite number, meaning it has factors other than 1 and itself. The factors of 105 are 1, 3, 5, 7, 15, 21, 35, and 105.

185 (number) by

The number 185 is an integer that falls between 184 and 186. It is an odd number and can be expressed in various ways, such as: - **In Roman numerals:** CLXXXV - **In binary:** 10111001 - **In hexadecimal:** B9 Mathematically, it can be factored into prime numbers as \( 5 \times 37 \).

1289 (number) by

The number 1289 is a four-digit integer that falls between 1288 and 1290. In terms of its properties: - It is an odd number. - It is a composite number, meaning it has divisors other than 1 and itself. Specifically, 1289 can be factored into its prime components by determining its prime divisors, though it is not a straightforward factorization. - In Roman numerals, 1289 is represented as MCCLXXXIX.

1701 (number) by

The number 1701 is a natural number that follows 1700 and precedes 1702. It can be expressed in various contexts, such as its mathematical properties, historical significance, or cultural references. For example: - In mathematics, 1701 is an odd number.

146 (number) by

The number 146 is an integer that follows 145 and precedes 147. It has several interesting mathematical properties: 1. **Even Number**: 146 is an even number because it is divisible by 2. 2. **Composite Number**: 146 is a composite number, meaning it has divisors other than 1 and itself. Its divisors are 1, 2, 73, and 146.

154 (number) by

The number 154 is a positive integer that follows 153 and precedes 155. It can be factored into prime numbers as \( 2 \times 77 \), and further factored into \( 2 \times 7 \times 11 \). In terms of properties, 154 is an even number and can be classified as a composite number since it has divisors other than 1 and itself.

167 (number) by

The number 167 is an integer that comes after 166 and before 168. It is an odd number and can be used in various mathematical contexts, such as in counting, measuring, or as part of calculations. In terms of its properties: - **Prime Factorization**: 167 is a prime number, meaning it cannot be divided evenly by any whole numbers other than 1 and itself.

259 (number) by

The number 259 is a natural number that follows 258 and precedes 260. In terms of its properties: - It is an odd number. - It is a composite number, meaning it has divisors other than 1 and itself. The factors of 259 are 1, 7, 37, and 259. - In Roman numerals, 259 is written as CCLIX. - In binary, it is represented as 100000011.

280 (number) by

The number 280 is an integer that comes after 279 and precedes 281. It is an even number and can be factored into prime factors as 2 × 2 × 2 × 5 × 7, or in exponential form as \(2^3 \times 5^1 \times 7^1\).