Newton's methodIn numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function. The most basic version starts with a single-variable function f defined for a real variable x, the function's derivative f′, and an initial guess x0 for a root of f. If the function satisfies sufficient assumptions and the initial guess is close, then is a better approximation of the root than x0.
Cross-entropy methodThe cross-entropy (CE) method is a Monte Carlo method for importance sampling and optimization. It is applicable to both combinatorial and continuous problems, with either a static or noisy objective. The method approximates the optimal importance sampling estimator by repeating two phases: Draw a sample from a probability distribution. Minimize the cross-entropy between this distribution and a target distribution to produce a better sample in the next iteration.
Predictor–corrector methodIn numerical analysis, predictor–corrector methods belong to a class of algorithms designed to integrate ordinary differential equations - to find an unknown function that satisfies a given differential equation. All such algorithms proceed in two steps: The initial, "prediction" step, starts from a function fitted to the function-values and derivative-values at a preceding set of points to extrapolate ("anticipate") this function's value at a subsequent, new point.
Adrien-Marie LegendreAdrien-Marie Legendre (ləˈʒɑːndər,_-ˈʒɑːnd; adʁiɛ̃ maʁi ləʒɑ̃dʁ; 18 September 1752 – 9 January 1833) was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the Legendre polynomials and Legendre transformation are named after him. Adrien-Marie Legendre was born in Paris on 18 September 1752 to a wealthy family. He received his education at the Collège Mazarin in Paris, and defended his thesis in physics and mathematics in 1770.
CE markingOn commercial products, the presence of the logo means that the manufacturer or importer affirms the goods' conformity with European health, safety, and environmental protection standards. It is not a quality indicator or a certification mark. The CE marking is required for goods sold in the European Economic Area (EEA); goods sold elsewhere may also carry the mark. The mark indicates that the product may be traded freely in any part of the European Economic Area, regardless of its country of origin.
Identity documentAn identity document (also called ID or colloquially as papers) is any document that may be used to prove a person's identity. If issued in a small, standard credit card size form, it is usually called an identity card (IC, ID card, citizen card), or passport card. Some countries issue formal identity documents, as national identification cards that may be compulsory or non-compulsory, while others may require identity verification using regional identification or informal documents.
Canal du MidiThe Canal du Midi (kanal dy midi; Canal del Miègjorn ka'nal del mjɛdˈd͡ʒuɾ) is a long canal in Southern France (le Midi). Originally named the Canal Royal en Languedoc (Royal Canal in Languedoc) and renamed by French revolutionaries to Canal du Midi in 1789, the canal is considered one of the greatest construction works of the 17th century. The canal connects the Garonne to the Étang de Thau on the Mediterranean and, along with the long Canal de Garonne, forms the Canal des Deux Mers, joining the Atlantic to the Mediterranean.
Capillary electrophoresis–mass spectrometryCapillary electrophoresis–mass spectrometry (CE–MS) is an analytical chemistry technique formed by the combination of the liquid separation process of capillary electrophoresis with mass spectrometry. CE–MS combines advantages of both CE and MS to provide high separation efficiency and molecular mass information in a single analysis. It has high resolving power and sensitivity, requires minimal volume (several nanoliters) and can analyze at high speed.
RomandyRomandy (Romandie or Suisse romande) is the French-speaking part of Switzerland. In 2020, about 2 million people, or 22.8% of the Swiss population, lived in Romandy. The majority of the romand population lives in the western part of the country, especially the Arc Lémanique region along Lake Geneva, connecting Geneva, Vaud and the Lower Valais. French is the sole official language in four Swiss cantons: Geneva, Vaud, Neuchâtel, and Jura. Additionally, French and German have co-official status in three cantons: Fribourg/Freiburg, Valais/Wallis, and Berne/Bern.
