Math terms that start with s represent a wide range of concepts in various fields of mathematics, including geometry, algebra, and trigonometry. These terms are essential for understanding and solving mathematical problems across different disciplines.
1. SUM
The sum of two or more quantities is a fundamental concept in mathematics. It refers to the result obtained when two or more numbers are combined. The term "sum" is often used to describe the sum of two or more numbers.
2. ATTRIBUTE
An attribute is a characteristic of an object or entity that can be described or measured. In mathematics, attributes can be used to describe the properties of numbers, shapes, or other mathematical objects.
3. BASE
A base is a number or expression that is raised to a negative power. In mathematics, the base of a power, such as x^3, is the number that is multiplied by itself a certain number of times.
4. COORDINATE(S)
Coordinates are a set of数值 assigned to each point in a geometric plane or space to indicate its position. In mathematics, the coordinate (x, y) of a point in a coordinate plane is the numerical values of two perpendicular number lines, usually called the x- and y-axes, that intersect at the origin.
5. COUNTING_NUMBERS
Counting numbers are the positive integers, often referred to as natural numbers, used in mathematical computation and construction of sequences. Counting numbers can be written in the format of +1, +2, +3, …, which increases in increments of +1.
6. DEGREE
The degree of a term, variable, or polynomial in mathematics is the value resulting from the sum of the exponents of its individual terms. For a term, the degree is the exponent of the variable in that term. For a polynomial, the degree is the highest degree found among the terms.
7. DISCRIMINANT
The discriminant of a quadratic equation, usually written as Δ, is a mathematical expression derived from the coefficients of the quadratic equation that helps determine the nature of its roots or solutions. The discriminant of the equation ax²+bx+c=0 is given by Δ=b²−4ac.
8. EXPONENT
An exponent is a number written above another number or operator, indicating how many times the base should be multiplied by itself. In a mathematical expression, such as x^2y^3, the base 'x' is exponentiated, which means it is multiplied by itself, three times (x^2), and y three times (y^3).
9.FINITE
Finite numbers are those that can be counted or listed. Finite sets have a specific number of elements, while infinite sets have an unlimited or potentially uncountable number of elements.
10. GREATERTHAN
The greater than or equal to relation, written ≧, is used to indicate that one number is greater than or equal to another number. The term is commonly used in inequalities and comparing two numbers within a specific range.
11. HIGHER EDUCATION
Higher education, often abbreviated as college or university, refers to the post-secondary educational institutions offering courses beyond the high school level. These institutions typically offer associate, bachelor's, master's, and博士学位 programs in various fields of study.
12. HYPOTENUSE
In a right-angled triangle, the hypotenuse is the longest side opposite the right angle. It is denoted by the letter 'h' in mathematical expressions and equations.
13. Ideographic
Ideographic characters, such as kanji in Japanese or Chinese characters, are logographic characters that represent specific ideas or meanings instead of sounds. They are used in writing languages such as Chinese, Japanese, and Korean.
14. LATTICE POINT
A lattice point in the coordinate plane is a point whose coordinates, (x, y), are both integers. Lattice points are used to represent positions in geometric structures and are essential for the analysis of geometric shapes and networks.
15. MAXIMUM
The maximum function returns the highest value that is less than or equal to a given value. It is denoted by the symbol 'max', and is often used in algorithms and other mathematical optimizations.
16. MEAN
The mean, also known as the arithmetic mean, is the average of a set of numbers. It is calculated by dividing the sum of the numbers by the number of numbers in the set.
17. PERIMETER
The perimeter of a polygon is the sum of the lengths of its sides. For a polygon with n sides, the perimeter is denoted by P and is calculated as P = s₁ + s₂ + … + sn, where si are the lengths of each side.
18. PRECISION
Precision in mathematics is the accuracy with which a mathematical operation or result is known to be correct. It is typically measured in terms of the precision of the input data and the accuracy with which the mathematical algorithm handles these data.
19. Pythagorean
Pythagorean relations are based on the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This principle is widely used in various fields of science and engineering.
20. QUADRILATERAL
A quadrilateral is a polygon with four sides and four vertices. The term is often used to describe the shape that results when four line segments intersect at right angles to form a closed figure.
21. SEMICIRCLE
A semicircle is half of a circle, defined as a part of a circle divided into two equal parts. The radius of a semicircle is the same as the main circle, and its circumference is half of the total circumference of the main circle.
22. SET
A set is a collection of distinct objects or elements. The elements of a set are often referred to as the members of the set. The membership of an element in a set is indicated by being included in the curly braces {}.
23. SIMULTANEOUS
Simultaneous events are those that are observed at the same time. In mathematics, simultaneous events can be represented as a set of ordered pairs that satisfy both the conditions of the event.
24. SIMPLE_EVENT
Simple events are the fundamental events in the subset of a sample space, containing only one possible outcome of an experiment. They are often used to represent the basic building blocks of more complex events.
25. SIMPLIFY
Simplification in mathematics is the process of converting a more complex mathematical expression into an equivalent form that involves fewer terms or operations. Simplification can be applied to various types of expressions, including fractions, rational expressions, and trigonometric functions.
26. SLOPE
The slope of a line, denoted by m, is a measure of how steep the line is. A positive slope indicates that the line rises to the right, while a negative slope indicates that the line falls to the right.
27. SLOPE-INTERCEPT FORM
The slope-intercept form of a line is the equation y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
28. SOLUTION
The solution set of an equation or inequality is the set of all values that make the equation or inequality true. Solutions can be expressed in various formats, depending on the type of problem being solved.
29. SPACEFIGURE(S)
Spatial figures refer to three-dimensional entities or shapes存在于空间之中 or以 space为背景。这些图形通常用于描绘三维物体或场景，如球体、圆柱体、立方体等。
30. SPHERICAL TRIGONOMETRY
Spherical trigonometry is a branch of classical geometry that deals with the study of triangles and their properties on the surface of a sphere. It is fundamental to navigation, astronomy, and geodesy, among other disciplines.
31. SQUARE
A square is a two-dimensional figure with four equal sides and four right angles. Squares can be regarded as special types of rectangles or squares. They are used in various fields of science and technology, such as architecture, engineering, and computer graphics.
32. SQUARE_FREE
A square is said to be square-free if it does not decompose into a square of a smaller integer. In other words, a square-free number cannot be expressed as a product of two or more squares.
33. SQUARE_NUMBER
A square number is an integer of the form k², where k is an integer. For example, 4, 9, 16, and 25 are all square numbers. The study of square numbers is important in number theory and cryptography.
34. SQUARE_ROOT
A square root of a number x is any number that, when multiplied by itself, yields the original number. For non-negative x and y, y is the square root of x.
35. SYSTEM OF EQUATIONS
A system of equations is a collection of two or more equations with the same set of variables. Solving a system of equations typically requires finding values for the variables that satisfy all of the equations simultaneously.
36. TERMINATING DECIMAL
A terminating decimal is a decimal number that eventually stops its repetition after a finite number of digits. All terminating decimals can be expressed as fractions, but not all fractions terminate.
37. TESSERATION
Tiling is the process of dividing a plane into a regular pattern of shapes without gaps or overlaps. Tessellations are used in art, architecture, and engineering to create visual effects and structures.
38. THEOREM(S)
A theorem in mathematics is a statement that has been proven to be true based on a set of initially accepted assumptions. Theorems are the building blocks of mathematics and serve as the foundation for further inquiry and research.
39. TRIANGULAR
Triangular is a term used to describe three-sided shapes, especially when they have equal angles. Triangles are one of the most common shapes found in nature and mathematics.
40. TRACTICAL_ECONOMY
Practical economics is an applied branch of economics that focuses on the uses of economic theory and methods to solve practical problems. It is closely related to real-world phenomena and aims to provide insights and decision-making support in various domains.
This article provides an overview of various math terms starting with the letter 's,' which plays a crucial role in the foundations and advancements of mathematics across different disciplines.
