Generalizations of the derivativeIn mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, geometry, etc. The Fréchet derivative defines the derivative for general normed vector spaces . Briefly, a function , an open subset of , is called Fréchet differentiable at if there exists a bounded linear operator such that Functions are defined as being differentiable in some open neighbourhood of , rather than at individual points, as not doing so tends to lead to many pathological counterexamples.
Implicit functionIn mathematics, an implicit equation is a relation of the form where R is a function of several variables (often a polynomial). For example, the implicit equation of the unit circle is An implicit function is a function that is defined by an implicit equation, that relates one of the variables, considered as the value of the function, with the others considered as the arguments. For example, the equation of the unit circle defines y as an implicit function of x if −1 ≤ x ≤ 1, and y is restricted to nonnegative values.
Hôpital Saint-LucHôpital Saint-Luc was a hospital in Montreal, Quebec, Canada, at the intersection of Saint Denis Street and René Lévesque Boulevard in the borough of Ville-Marie. It was named in honor of Luke the Evangelist, who is the patron saint of doctors in the Roman Catholic religion. Hôpital Saint-Luc was founded in 1908 by Dr. F.A. Fleury in a private home at 88 Saint Denis Street, Montreal. The hospital was located in the poorest neighborhood of Montreal. The founder, Dr. F. A. Fleury wanted to treat children in need.
Applied behavior analysisApplied behavior analysis (ABA), also called behavioral engineering, is a psychological intervention that applies empirical approaches based upon the principles of respondent and operant conditioning to change behavior of social significance. It is the applied form of behavior analysis; the other two forms are radical behaviorism (or the philosophy of the science) and the experimental analysis of behavior (or basic experimental laboratory research).
BehaviorismBehaviorism (also spelled behaviourism) is a systematic approach to understanding the behavior of humans and other animals. It assumes that behavior is either a reflex evoked by the pairing of certain antecedent stimuli in the environment, or a consequence of that individual's history, including especially reinforcement and punishment contingencies, together with the individual's current motivational state and controlling stimuli. Although behaviorists generally accept the important role of heredity in determining behavior, they focus primarily on environmental events.
Lipschitz continuityIn mathematical analysis, Lipschitz continuity, named after German mathematician Rudolf Lipschitz, is a strong form of uniform continuity for functions. Intuitively, a Lipschitz continuous function is limited in how fast it can change: there exists a real number such that, for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is not greater than this real number; the smallest such bound is called the Lipschitz constant of the function (and is related to the modulus of uniform continuity).
Fly-by-wireFly-by-wire (FBW) is a system that replaces the conventional manual flight controls of an aircraft with an electronic interface. The movements of flight controls are converted to electronic signals transmitted by wires, and flight control computers determine how to move the actuators at each control surface to provide the ordered response. It can use mechanical flight control backup systems (like the Boeing 777) or use fully fly-by-wire controls.
Hyperbolic functionsIn mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola. Also, similarly to how the derivatives of sin(t) and cos(t) are cos(t) and –sin(t) respectively, the derivatives of sinh(t) and cosh(t) are cosh(t) and +sinh(t) respectively. Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry.
Hôpital Saint-LouisHôpital Saint-Louis is a hospital in Paris, France. It was built in 1611 by architect Claude Vellefaux at the request of Henry IV of France. It is part of the Assistance publique - Hôpitaux de Paris hospital system, and it is located at 1 avenue Claude-Vellefaux, in the 10th arrondissement near the metro station Goncourt. It was founded by King Henry IV (1553–1610) (King of France and Navarre) on May 17, 1607 to relieve the Hôtel-Dieu de Paris during the plague. It was named St.
SmoothnessIn mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain, called differentiability class. At the very minimum, a function could be considered smooth if it is differentiable everywhere (hence continuous). At the other end, it might also possess derivatives of all orders in its domain, in which case it is said to be infinitely differentiable and referred to as a C-infinity function (or function).
Hôpital Notre-DameHôpital Notre-Dame (Notre Dame Hospital) is a hospital in Montreal, Quebec, Canada. It is located on Sherbrooke Street East in the borough of Ville-Marie, across from La Fontaine Park. It was established in 1880, and has been at its present site since 1924. Hôpital Notre-Dame is a general hospital offering a range of services to the local community including a 24-hour emergency department, radiology (MRI, CT scan, Radiography, and Ultrasound), day medicine (blood test center, nursing services), cardiology, electrophysiology, neurology, ENT, audiology, ophthalmology, gynecology, occupational therapy, physiotherapy and pediatrics.
Hôpital Maisonneuve-RosemontHôpital Maisonneuve-Rosemont is a hospital in Montreal, Quebec, Canada, located in the boroughs of Rosemont–La Petite-Patrie and Mercier-Hochelaga-Maisonneuve. It serves the eastern part of the city and offers 800 beds. It employs 5,000 people and 3,000 students annually. Hôpital Maisonneuve-Rosemont was founded in 1971 as a result of a merger of two previous hospitals: Hôpital Maisonneuve and Hôpital Saint-Joseph de Rosemont. Hôpital Maisonneuve was founded by the Grey Nuns in 1954 and housed a nursing school and the Montreal Heart Institute.
