Enhance Your Learning with Math Circles Flash Cards for quick understanding
A natural number greater than 1 that has no positive divisors other than 1 and itself.
In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
A function that describes the likelihood of obtaining the possible values that a random variable can take.
The average of a set of numbers, calculated by summing all the values and dividing by the total count.
A compound statement formed by combining two or more statements using the logical operator 'and'.
An arrangement of objects in a specific order, where the order matters.
A path in a graph that visits each edge exactly once.
A prestigious competition for high school students that tests their problem-solving skills and mathematical knowledge.
A logic-based number placement puzzle that requires filling a 9x9 grid with digits so that each column, each row, and each of the nine 3x3 subgrids contains all of the digits from 1 to 9.
A sequence of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1.
A triangle with all three sides of equal length.
An equation of the form ax + b = 0, where a and b are constants and a ≠ 0.
A diagram that uses circles or other shapes to represent sets and their relationships, often used to visualize logical relationships between different sets.
The middle value in a set of numbers when they are arranged in ascending or descending order.
A compound statement formed by combining two or more statements using the logical operator 'or'.
A selection of objects from a larger set, where the order does not matter.
A cycle in a graph that visits each vertex exactly once.
A problem or game that requires mathematical thinking and reasoning to solve.
The largest positive integer that divides two or more numbers without leaving a remainder.
A triangle with at least two sides of equal length.
A formula used to find the solutions of a quadratic equation: x = (-b ± √(b^2 - 4ac)) / (2a).
A discrete probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.
The value that appears most frequently in a set of numbers.
A statement that has the opposite truth value of another statement.
The product of all positive integers less than or equal to a given positive integer.
A graph that can be drawn on a plane without any edges crossing.
A mathematical proof technique used to prove statements about integers or other recursively defined objects.
A triangular array of numbers in which each number is the sum of the two numbers directly above it.
The difference between the largest and smallest values in a set of numbers.
A compound statement formed by combining two statements using the logical operator 'implies'.
The process of expressing a number or algebraic expression as a product of its factors.
A formula that relates the number of vertices, edges, and faces of a polyhedron: V - E + F = 2.
The smallest positive integer that is divisible by two or more numbers.
A triangle with no sides of equal length.
A growth pattern in which the quantity increases exponentially over time.
A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
The sum of a set of numbers divided by the count of numbers in the set.
A relationship between two statements that have the same truth value in all possible cases.
A number or algebraic expression that divides another number or expression without leaving a remainder.
A number that can be expressed as a fraction of two integers, where the denominator is not zero.
A triangle with one angle equal to 90 degrees.
A decay pattern in which the quantity decreases exponentially over time.
The nth root of the product of n numbers.
A statement that is always false, regardless of the truth values of its components.
A number that divides another number without leaving a remainder.
A theorem in graph theory that states that a connected graph has an Eulerian cycle if and only if every vertex has an even degree.