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In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
The number π (/ paɪ /; spelled out as " pi ") is a mathematical constant that is the ratio of a circle 's circumference to its diameter, approximately equal to 3.14159. The number π appears in many formulae across mathematics and physics.
In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point. For most common functions, the function and the sum of its Taylor series are equal near this point.
The cinnamon quail-thrush (Cinclosoma cinnamomeum) is a species of bird in the family Cinclosomatidae. Endemic to Australia, it is typically found in arid and semi-arid regions of the central part of the continent, spanning southwest Queensland, northwest New South Wales, northeastern South Australia, and the southeast of the Northern Territory.
The viscosity of a fluid is a measure of its resistance to deformation at a given rate. [1] For liquids, it corresponds to the informal concept of "thickness": for example, syrup has a higher viscosity than water. [2] Viscosity is defined scientifically as a force multiplied by a time divided by an area.
Rape and murder. Arrests. 3 [1][2][3] On 9 August 2024, a 31-year-old female postgraduate trainee doctor [4] at R. G. Kar Medical College and Hospital in Kolkata, West Bengal, India, was raped and murdered in a college building. Her body was found in a seminar room on campus.
