Science

This branch of mathematics involves using symbols, letters, and numbers to represent and solve problems. It helps in understanding relationships between quantities and finding unknown values.

An axiom is a basic statement or principle in mathematics that is accepted as true without proof. These foundational truths serve as the starting point for further reasoning and the development of mathematical theories.

A mathematical formula that describes how to update the probability of a hypothesis based on new evidence. It combines prior knowledge with new data to make informed predictions.

It is a branch of mathematics that studies how things change. Calculus helps us understand motion, areas, volumes, and many other concepts by using limits, derivatives, and integrals.

A circle is a round shape where every point on its edge is the same distance from its center. This distance is called the radius, and the longest distance across the circle is called the diameter.

A combination is a way of selecting items from a larger set where the order does not matter. It is a fundamental concept in mathematics used to calculate how many different groups can be formed from a given number of items.

This branch of mathematics focuses on counting, arranging, and analyzing combinations of objects. It helps solve problems related to selection and arrangement in various fields.

A complex number is a type of number that includes a real part and an imaginary part. It is expressed in the form a + bi, where 'a' is the real part and 'bi' is the imaginary part, with 'i' representing the square root of -1.

A composite number is a positive integer that has more than two distinct positive divisors. This means it can be divided evenly by numbers other than one and itself.

A derivative is a concept in mathematics that measures how a function changes as its input changes. It essentially tells us the rate of change or the slope of the function at any given point.

A determinant is a special number that can be calculated from a square matrix. It provides important information about the matrix, such as whether it has an inverse and the volume scaling factor for transformations represented by the matrix.

A differential equation is a mathematical equation that relates a function to its derivatives. It describes how a quantity changes over time or space, making it essential in modeling various real-world phenomena.

The domain of a function is the set of all possible input values, while the range is the set of all possible output values. Together, they define the limits of what a function can take and produce.

An eigenvalue is a special number associated with a square matrix that indicates how much a corresponding eigenvector is stretched or compressed during a linear transformation. It is a key concept in linear algebra, used in various applications such as systems of differential equations and stability analysis.

An equation is a mathematical statement that shows the equality between two expressions. It often contains variables and constants, and it can be solved to find the value of the variables.

A branch of mathematics, this type of geometry deals with flat surfaces and the relationships between points, lines, and angles. It is based on the work of the ancient Greek mathematician Euclid and is fundamental to many areas of math and science.

An exponent is a mathematical notation that indicates how many times a number, known as the base, is multiplied by itself. For example, in the expression 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself three times, resulting in 8.

Factoring is the process of breaking down a number or an expression into its component parts, called factors, which when multiplied together give the original number or expression. It is an essential concept in mathematics that helps simplify problems and solve equations.

The Fundamental Theorem of Calculus links the concept of differentiation with that of integration. It shows that these two operations are essentially inverse processes, allowing us to compute the area under a curve using antiderivatives.

A branch of mathematics, Geometry focuses on the properties and relationships of shapes, sizes, and spaces. It studies points, lines, angles, surfaces, and solids, helping us understand the world around us.

A branch of mathematics, it studies graphs, which are structures made up of nodes (or vertices) connected by edges. Graph Theory helps in understanding relationships and connections in various systems.

Inequality refers to a mathematical statement that compares two expressions and shows that one is not equal to the other. It can indicate relationships such as greater than, less than, or not equal, and is fundamental in various fields of mathematics.

An integer is a whole number that can be positive, negative, or zero. It does not include fractions or decimals, making it a fundamental concept in mathematics.

An integral is a fundamental concept in mathematics that represents the area under a curve. It helps in calculating quantities like distance, area, and volume when given a function.

An irrational number is a type of real number that cannot be expressed as a simple fraction. This means that its decimal representation goes on forever without repeating. Examples include numbers like pi and the square root of 2.

A limit is a fundamental concept in mathematics that describes the value that a function approaches as the input approaches a certain point. It helps in understanding how functions behave near specific points, even if they are not defined at those points.

A branch of mathematics, Linear Algebra focuses on vector spaces and linear mappings between them. It involves concepts like vectors, matrices, and systems of linear equations.

A logarithm is a way to express how many times a number, called the base, must be multiplied by itself to reach another number. It is the inverse operation of exponentiation and is widely used in mathematics and various applications.

A system of reasoning, Logic helps us determine whether statements are true or false. It is essential for clear thinking and problem-solving, especially in mathematics.

A matrix is a rectangular arrangement of numbers, symbols, or expressions, organized in rows and columns. It is used in mathematics to represent and solve various problems, especially in areas like algebra, geometry, and statistics.

Mean, median, and mode are statistical measures used to summarize a set of numbers. The mean is the average, the median is the middle value, and the mode is the most frequently occurring number in a data set.

It is a statistical concept that describes how data points are distributed in a symmetrical pattern around a central value, known as the mean. In this distribution, most values cluster around the mean, with fewer values appearing as you move away from it in either direction.

A branch of mathematics focused on the properties and relationships of numbers, particularly integers. It explores concepts like divisibility, prime numbers, and number patterns.

A permutation is an arrangement of objects in a specific order. It refers to how many different ways you can arrange a set of items.