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2 days ago · Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ⓘ; [2] [3] Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science. He ranks among history's most influential mathematicians and has ...
6 days ago · Contour integrals. The contour integral of a complex function: is a generalization of the integral for real-valued functions. For continuous functions in the complex plane, the contour integral can be defined in analogy to the line integral by first defining the integral along a directed smooth curve in terms of an integral over a real valued parameter.
2 days ago · Fibonacci sequence. A tiling with squares whose side lengths are successive Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13 and 21. In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn .
5 days ago · An angle is a geometric shape formed by the intersection of two line segments, lines, or rays. Angles are a measure of rotational distance as contrasted with linear distance. An angle can also be thought of as a fraction of a circle. The angle between the two line segments is the distance (measured in degrees or radians) that one segment must be rotated around the intersecting point so that ...
3 days ago · Hyperbolic geometry is a type of non-Euclidean geometry that arose historically when mathematicians tried to simplify the axioms of Euclidean geometry, and instead discovered unexpectedly that changing one of the axioms to its negation actually produced a consistent theory. Later, physicists discovered practical applications of these ideas to the theory of special relativity. Hyperbolic ...
6 days ago · the slopes of the lines, a pair of points that lie on each line, the (positive or negative) angles between the lines and the positive 𝑥 - a x i s, a mixture of the above information allowing the slopes of both lines to be found, use the relationship between the slopes of parallel and perpendicular lines to find. an unknown slope of a line,
4 days ago · Property 2. The diagonals of a rectangle bisect each other. Property 3. The opposite sides of a rectangle are parallel. Property 4. The opposite sides of a rectangle are equal. Property 5. A rectangle whose side lengths are a a and b b has area a b \sin {90^\circ} = ab. absin90∘ = ab. Property 6.
