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In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations.The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric.
RTÉ's Home School Hub, or simply Home School Hub, and its companion show Home School Extra, was an educational television programme which was created in response to the closure of all schools during the COVID-19 pandemic in Ireland in 2020. [2]
The divergence of the harmonic series was first proven in 1350 by Nicole Oresme. [2] [4] Oresme's work, and the contemporaneous work of Richard Swineshead on a different series, marked the first appearance of infinite series other than the geometric series in mathematics. [5] However, this achievement fell into obscurity. [6]
Time4Learning was founded by John Edelson in 2003. [10] and began providing online homeschooling through an online platform in 2004. [11]In 2008, they started a program called VocabularySpellingCity for kindergarten through 12th grade pupils.
This is a partial list of notable homeschooling curricula and programmes that are popularly used in the ... (ACE) [10] Bob Jones University (BJU) Press Academy of ...
The Health Resources and Services Administration's National Center for Health Workforce Analysis projects a 10% shortage of RNs in 2026 and 2031, dropping to 9% in 2036, based on a report released ...
An ancient shipwreck that dates back to the 7th century B.C.E. has been removed from waters off Spain, two decades after its discovery in 1994.
The mesh dress, which Berry wore when she won her history-making Best Actress Academy Award more than 20 years ago, features floral appliqués and a silky asymmetrical skirt.
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