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In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
Microsoft Excel is a spreadsheet editor developed by Microsoft for Windows, macOS, Android, iOS and iPadOS.It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic for Applications (VBA).
Similarly, the Laplace expansion along the j th column is the equality = = +,,. (Each identity implies the other, since the determinants of a matrix and its transpose are the same.) The coefficient ( − 1 ) i + j m i , j {\displaystyle (-1)^{i+j}m_{i,j}} of b i , j {\displaystyle b_{i,j}} in the above sum is called the cofactor of b i , j ...
Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
Historical Hilgenberg globes [1] Potential reconstruction of continents bordering the Atlantic (left column) and Pacific (right column) oceans as they might have appeared at different points, going back in history, using the expanding Earth hypothesis, based on reconstructions by expanding Earth proponent Neal Adams
Over the next two years, the station continued to expand. A Soyuz-U rocket delivered the Pirs docking compartment . The Space Shuttles Discovery , Atlantis , and Endeavour delivered the American Destiny laboratory and Quest airlock , in addition to the station's main robot arm, the Canadarm2 , and several more segments of the Integrated Truss ...
The word television comes from Ancient Greek τῆλε (tele) 'far' and Latin visio 'sight'. The first documented usage of the term dates back to 1900, when the Russian scientist Constantin Perskyi used it in a paper that he presented in French at the first International Congress of Electricity, which ran from 18 to 25 August 1900 during the International World Fair in Paris.
They hold large-scale fundraising events and may apply to governments and organizations for grants or contracts to raise money for projects. Operational NGOs often have a hierarchical structure; their headquarters are staffed by professionals who plan projects, create budgets, keep accounts, and report to and communicate with operational ...