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1
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infinity
|
Mathematics
|
Infinity is a mathematical concept representing endlessness and unboundedness used in various branches of mathematics.
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12
|
|
2
|
perfect numbers
|
Mathematics
|
Perfect numbers are a captivating subject with historical roots in Greek mathematics and ongoing modern research in number theory.
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9
|
|
3
|
number zero
|
mathematics
|
In mathematics, the number zero is a fundamental concept representing absence of quantity and is a significant positional placeholder.
|
8
|
|
4
|
pi
|
mathematics
|
Pi is a fundamental mathematical constant with infinite decimal expansion representing the ratio of a circle's circumference to its diameter.
|
8
|
|
5
|
proof
|
mathematics
|
Proof in mathematics is a logical demonstration using axioms and theorems to establish the truth of a mathematical statement.
|
8
|
|
6
|
multidigraph
|
mathematics
|
Multidigraphs in mathematics and computer science allow multiple edges between nodes to model complex systems.
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7
|
|
7
|
torus
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mathematics
|
The torus is a key shape in mathematics and physics, commonly used to explain topology and geometry concepts.
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7
|
|
8
|
variable
|
mathematics
|
In mathematics, variables represent changing quantities in equations and formulas.
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7
|
|
9
|
noetherian ring
|
mathematics
|
The noetherian ring is a fundamental concept in modern algebra and algebraic geometry with practical applications in theorems and research.
|
6
|
|
10
|
prime numbers
|
mathematics
|
Prime numbers are essential in number theory and cryptography due to their unique properties and special appeal.
|
6
|
|
11
|
euclidean geometry
|
Mathematics
|
Euclidean geometry is a fundamental concept in mathematics that studies points, lines, angles, and shapes in two-dimensional space.
|
5
|
|
12
|
open set
|
mathematics
|
An open set in mathematics is a set that does not contain its boundary points and is used in topology.
|
5
|
|
13
|
vector
|
mathematics
|
A vector is a mathematical quantity with magnitude and direction, commonly used in physics and engineering.
|
5
|
|
14
|
boolean algebra
|
mathematics
|
Boolean algebra is a branch of mathematics that deals with logical operations and truth tables.
|
4
|
|
15
|
delta
|
mathematics
|
Delta in mathematics and science refers to the change or difference in variables or measures.
|
4
|
|
16
|
ellipse
|
mathematics
|
An important geometric shape studied in mathematics with two focal points and eccentricity less than 1 is the ellipse.
|
4
|
|
17
|
gauss
|
mathematics
|
The unit of magnetic induction called gauss is named after the German mathematician and physicist Carl Friedrich Gauss.
|
4
|
|
18
|
measurable set
|
mathematics
|
Measurable sets are a fundamental concept in measure theory and mathematical analysis, used to describe sets with a defined measure.
|
4
|
|
19
|
open interval
|
mathematics
|
An open interval in mathematics includes all real numbers between two endpoints, excluding the endpoints themselves.
|
4
|
|
20
|
prime numbers
|
Mathematics
|
Prime numbers are natural numbers greater than 1 with no positive divisors other than 1 and themselves.
|
4
|
|
21
|
spheroidal surface
|
mathematics
|
Mathematics describes spheroidal surfaces in the context of geometry and planetary physics involving three-dimensional shapes and unbounded areas.
|
4
|
|
22
|
tetrahedron
|
mathematics
|
A tetrahedron is a key geometric shape in solid geometry and mathematics.
|
4
|
|
23
|
annulus
|
mathematics
|
An annulus is a ring-shaped figure defined by two concentric circles and is commonly used in mathematics and engineering.
|
3
|
|
24
|
axiom
|
mathematics
|
Axioms are fundamental assumptions that form the basis of mathematical reasoning and deduction.
|
3
|
|
25
|
complex number
|
mathematics
|
Complex numbers, consisting of both real and imaginary components, are utilized in a wide range of mathematical and engineering applications.
|
3
|
|
26
|
deviation
|
mathematics
|
Deviation in mathematics measures variability from the central tendency in statistical analysis and research.
|
3
|
|
27
|
function
|
mathematics
|
Mathematics uses functions to represent relationships between input and output in mathematical modeling and problem solving.
|
3
|
|
28
|
homomorphism
|
mathematics
|
Homomorphism in mathematics is a key concept in abstract algebra for mapping between algebraic structures.
|
3
|
|
29
|
integral domain
|
mathematics
|
The integral domain is a fundamental concept in abstract algebra used to study properties of commutative rings and arithmetic operations.
|
3
|
|
30
|
max
|
mathematics
|
In mathematics and programming, 'max' is used to refer to the maximum value in a set of numbers or elements.
|
3
|
|
31
|
point in space
|
mathematics
|
A point in space is a fundamental concept in geometry and physics, defined by coordinates in a coordinate system.
|
3
|
|
32
|
tesseract
|
mathematics
|
A tesseract is a four-dimensional analog of a cube found in higher-dimensional geometry.
|
3
|
|
33
|
transpose
|
mathematics
|
Transposing a matrix involves interchanging its rows and columns and is fundamental in linear algebra and data analysis in mathematics.
|
3
|
|
34
|
bifurcation
|
mathematics
|
Bifurcation is a mathematical concept that describes the split of a system into two separate paths or categories.
|
2
|
|
35
|
closed under equivalents
|
mathematics
|
A fundamental principle in mathematics and logic describing equivalence replacement.
|
2
|
|
36
|
convex combination
|
mathematics
|
A convex combination in mathematics involves a linear combination with non-negative coefficients that sum to one.
|
2
|
|
37
|
cylinder
|
mathematics
|
A cylinder is a geometric shape with parallel circular bases and a curved surface, relevant in mathematics and engineering.
|
2
|
|
38
|
gamma
|
mathematics
|
Gamma is a versatile constant used in mathematics and physics for various equations and functions.
|
2
|
|
39
|
linear ring
|
mathematics
|
A linear ring is a mathematical structure used in abstract algebra and physics.
|
2
|
|
40
|
mathematical problem solving
|
mathematics
|
Mathematicians prioritize logical and analytical thinking in mathematical problem solving.
|
2
|
|
41
|
median
|
mathematics
|
The median is a common measure of central tendency in mathematics and statistical analysis.
|
2
|
|
42
|
number 7
|
Mathematics
|
The number 7 is a prime number with unique properties in mathematics.
|
2
|
|
43
|
ordered field
|
mathematics
|
In mathematics, an ordered field is defined as a field with a total order that is compatible with field operations.
|
2
|
|
44
|
set theory
|
mathematics
|
Set theory is a foundational concept in modern mathematics that provides a framework for defining and studying mathematical structures.
|
2
|
|
45
|
sphere
|
mathematics
|
The concept of a sphere in mathematics is a perfectly symmetrical three-dimensional object with equidistant points on its surface.
|
2
|
|
46
|
spiral
|
mathematics
|
Spirals are a mathematical and engineering concept that describes the shape of a helix or coil.
|
2
|
|
47
|
200
|
mathematics
|
The concept of 200 in mathematics is that it is an even number.
|
1
|
|
48
|
cube
|
mathematics
|
The concept of a cube in mathematics is a three-dimensional shape with six square faces, twelve edges, and eight vertices.
|
1
|
|
49
|
derivative
|
mathematics
|
A derivative is a mathematical concept that represents the rate of change of a function with respect to its variable.
|
1
|
|
50
|
diagonal
|
mathematics
|
A diagonal in mathematics is a line segment connecting two non-consecutive vertices in a polygon.
|
1
|
|
51
|
double
|
mathematics
|
The concept of doubling in mathematics is essential for calculations and experiments in science.
|
1
|
|
52
|
even
|
mathematics
|
The concept of "even" in mathematics is used to indicate divisibility with no remainder or to express logical equivalence.
|
1
|
|
53
|
existential quantifier
|
mathematics
|
The existential quantifier in mathematics expresses that at least one element in a set satisfies a given property.
|
1
|
|
54
|
extension of k normal
|
mathematics
|
An extension of k normal distribution is used in statistics to model skewed and kurtotic data.
|
1
|
|
55
|
hexagon
|
mathematics
|
The hexagon is a six-sided polygon with equal sides and angles in mathematics.
|
1
|
|
56
|
inclination
|
mathematics
|
In mathematics, inclination is a measure of the slope of a line on a graph.
|
1
|
|
57
|
notation
|
mathematics
|
Mathematics uses notation to symbolize functions, variables, and operations.
|
1
|
|
58
|
sequence
|
mathematics
|
A sequence in computer science and mathematics is an ordered list of elements or events, typically represented by numbers or variables.
|
1
|
|
59
|
tetrad
|
mathematics
|
In mathematics, a tetrad can refer to a set of four elements or a 4x4 matrix in linear algebra.
|
1
|