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1 dzień temu · In differential geometry, a Riemannian manifold (or Riemannian space) (M, g), so called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a smoothly-varying positive-definite inner product g p on the tangent space T p M at each point p.. The family g p of inner products is called a Riemannian metric (or a Riemannian metric tensor, or just a metric).
1 dzień temu · The exponential function is defined on the entire domain of the complex numbers.The definition of sine and cosine can be extended to all complex numbers via = = + These can be reversed to give Euler's formula = + = When plotted on the complex plane, the function for real values of traces out the unit circle in the complex plane.. When is a real number, sine and cosine ...
1 dzień temu · Introduction. When a body is free to rotate around an axis, torque must be applied to change its angular momentum.The amount of torque needed to cause any given angular acceleration (the rate of change in angular velocity) is proportional to the moment of inertia of the body.Moments of inertia may be expressed in units of kilogram metre squared (kg·m 2) in SI units and pound-foot-second ...
1 dzień temu · A discrete cosine transform (DCT) expresses a finite sequence of data points in terms of a sum of cosine functions oscillating at different frequencies.The DCT, first proposed by Nasir Ahmed in 1972, is a widely used transformation technique in signal processing and data compression.It is used in most digital media, including digital images (such as JPEG and HEIF), digital video (such as MPEG ...
1 dzień temu · Quantum teleportation over 143 km. Zeilinger's group developed an experiment using active feed-forward in real time and two free-space optical links, quantum and classical, between the Canary Islands of La Palma and Tenerife, a distance of over 143 kilometers. The results were published in 2012.
1 dzień temu · Using the formula above you get =, as expected from (). In a similar fashion you get 0.5 from 1.5 (0x3FC00000). To get the square root, divide the logarithm by 2 and convert the value back. The following program demonstrates the idea.
1 dzień temu · The following is a list of notable unsolved problems grouped into broad areas of physics. Some of the major unsolved problems in physics are theoretical, meaning that existing theories seem incapable of explaining a certain observed phenomenon or experimental result. The others are experimental, meaning that there is a difficulty in creating an experiment to test a proposed theory or ...
