Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus, or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as natural numbers). However, there is no exact definition of the term "discrete mathematics". The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete math
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A circle is a simple closed shape in geometry that is defined as the set of all points in a plane that are equidistant from a fixed point, known as the center of the circle. The distance from the center to any point on the circle is known as the radius of the circle, and the distance across the circle passing through the center is known as the diameter. The circle is a fundamental shape in geometry and has many important properties, such as its circumference, area, and chord length. Circles are used in many fields, including mathematics, engineering, and physics, and are also commonly used in everyday life, such as in the design of wheels, clocks, and other circular objects.