Important formulas to remember.

Remember: Angle Sum Theorem.

Researchers and AI systems discovered a 3D aperiodic monotile shape (an aperiodic "chair" shape filling space) and proved a 150-year-old geometry rule regarding doughnut-shaped surfaces.

Remember! Krichoff's Law.

Remember! Jordan-Hölder Theorem.

Can you identify the equation of this Graph ?

Understanding! Schwarz Lemma.

Understanding! Mechanical stress as the internal resisting force per unit area developed within a material due to an applied external load.

Remember: Stefan Banach was a Polish mathematician, who is generally considered one of the 20th century's most important and influential mathematicians. He was one of the founders of modern functional analysis, and an original member of the Lwów School of Mathematics.

An ellipse is a closed, oval-shaped geometric curve where the sum of the distances from any point on the curve to two fixed points (called foci) is always equal. Key Parts of an Ellipse: •Foci •Major Axis •Minor Axis •Eccentricity (e)

Remember! that the difference between equation of continuity and bernoulli's theorem is that the equation of continuity is based on the conservation of mass (A1V1 = A2V2), while Bernoulli's theorem is based on the conservation of mechanical energy (P + 1/2pv² + pgh = constant).

Johann Carl Friedrich Gauss was a German mathematician & physicist widely ranked among the greatest mathematicians of all time. Also known as the "Prince of Mathematicians", Gauss was a true universal mind, due to his contributions in many fields.

The pi sign (π) is the sixteenth letter of Greek alphabet, used in mathematics to represent the most famous mathematical constant in the world. It represents the ratio of circle’s circumference (the distance around the outside) to its diameter (the distance across the middle).

Mensuration in mathematics was not discovered by a single person at one moment. It evolved through ancient practical needs and was later formalized by Greek & #Indian mathematicians like Archimedes, who is widely regarded as the historical founder of theoretical measurement.

Remember! A random event is an occurrence with an outcome that you cannot predict with certainty before it happens.

The ancient Greek astronomer & Mathematician Hipparchus of Nicaea is widely credited as the founder & creator of the core concepts of trigonometry. Rather than being invented by a single person overnight, trigonometry evolved through contributions from ancient civilizations.

Formulated by German physicist Georg Simon Ohm in his landmark 1827 book [Die galvanische Kette, mathematisch bearbeitet] Ohm's Law: stating that voltage equals current times resistance (V = IR).

The binomial theorem for a positive integer exponent was first stated & proved for specific cases by ancient mathematicians like Euclid & Pingala, but the general theorem for any positive integer was formulated by Sir Isaac Newton.

Kepler's Third Law states that the square of a planet's orbital period is directly proportional to the cube of the semi-major axis of its orbit. Astronomers use this law combined with universal gravitation law to determine the mass of stars, planets, and binary systems.

Remember: Euler is credited with being the first to develop #graph theory (partly as a solution for the problem of the Seven Bridges of Königsberg, which is also considered the first practical application of topology).

Understanding! Volume of Hollow Cylinder.