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  1. 21 hours ago · In general, in a Cartesian coordinate system x i on a Euclidean space, the partial derivatives ∂ / ∂x i are orthonormal with respect to the Euclidean metric. Thus the metric tensor is the Kronecker delta δ ij in this coordinate system. The metric tensor with respect to arbitrary (possibly curvilinear) coordinates q i is given by

  2. 21 hours ago · Kepler's first law placing the Sun at the focus of an elliptical orbit Heliocentric coordinate system (r, θ) for ellipse. Also shown are: semi-major axis a, semi-minor axis b and semi-latus rectum p; center of ellipse and its two foci marked by large dots. For θ = 0°, r = r min and for θ = 180°, r = r max.

  3. 21 hours ago · Motivation H 1 does not separate the classes. H 2 does, but only with a small margin. H 3 separates them with the maximal margin. Classifying data is a common task in machine learning. Suppose some given data points each belong to one of two classes, and the goal is to decide which class a new data point will be in. In the case of support vector machines, a data point is viewed as a p ...

  4. 21 hours ago · where F is the repulsive force between two electrical charges, Q G 1 and Q G 2 are the two charges in question, and r is the distance separating them. If Q G 1 and Q G 2 are expressed in statC and r in centimetres, then the unit of F that is coherent with these units is the dyne.

  5. 21 hours ago · Industrial management systems can be integrated with smart grids, enabling energy optimization. Measurements, automated controls, plant optimization, health and safety management, and other functions are provided by networked sensors. In addition to general manufacturing, IoT is also used for processes in the industrialization of construction.

  6. en.wikipedia.org › wiki › ChristianityChristianity - Wikipedia

    21 hours ago · Christianity (/ k r ɪ s tʃ i ˈ æ n ɪ t i / or / k r ɪ s t i ˈ æ n ɪ t i /) is an Abrahamic monotheistic religion based on the life and teachings of Jesus Christ.It is the world's largest and most widespread religion with roughly 2.4 billion followers, comprising around 31.2% of the world population.

  7. en.wikipedia.org › wiki › IndiaIndia - Wikipedia

    21 hours ago · The education system of India is the world's second-largest. India has over 900 universities, 40,000 colleges and 1.5 million schools. In India's higher education system, a significant number of seats are reserved under affirmative action policies for the historically disadvantaged.

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