In mathematics, the Newtonian potential or Newton potential is an operator in vector calculus that acts as the inverse to the negative Laplacian, on functions that are smooth and decay rapidly enough at infinity. As such, it is a fundamental object of study in potential theory. In its general nature, it is a singular integral operator, defined by convolution with a function having a mathematical singularity at the origin, the Newtonian kernel Γ which is the fundamental solution of the Laplace equation. It is named for Isaac Newton, who first discovered it and proved that it was a harmonic function in the special case of three variables, where it served as the fundamental gravitational potential in Newton's law of universal gravitation. In modern potential theory, the Newtonian potential is instead thought of as an electrostatic potential.

The Newtonian potential of a compactly supported integrable function f is defined as the convolution

Here ω_d is the volume of the unit d-ball (sometimes sign conventions may vary; compare (Evans 1998) and (Gilbarg & Trudinger 1983)). For example, for ${\displaystyle d=3}$ we have $ Γ https://en.wikipedia.org/wiki/Newtonian potential Exemples de prononciation par www.voicecup.com Plus d'exemples... Searching Exemples du corpus de texte pour single layer 1. In many villages, some children were barefoot and wearing a single layer of clothes. 2. The arched window in the middle of the building has almost certainly just a single layer of glass. 3. After scoring them, place chestnuts in a single layer in a baking pan and sprinkle generously with water. 4. When it‘s hot, add chestnuts in a single layer, sprinkle with a small amount of water, and cover the pan. 5. This 50 percent cost increase compares favorably with the current generation of multi–layer recordable DVD disks which cost 3 to 5 times as much to produce than a single layer disk, due to low yields. Exemples par www.pressmon.com Plus d'exemples... Recherche dans le dictionnaire Tous les dictionnaires Dictionnaire Français Dictionnaire allemand Dictionnaire anglais Dictionnaire anglais-allemand Dictionnaire anglais-arabe Dictionnaire anglais-espagnol Dictionnaire anglais-français Dictionnaire anglais-grec Dictionnaire anglais-italien Dictionnaire anglais-néerlandais Dictionnaire anglais-russe Dictionnaire arabe Dictionnaire espagnol Dictionnaire français-russe Dictionnaire grec Dictionnaire italien Dictionnaire italien-russe Dictionnaire latin-espagnol Dictionnaire latin-portugais Dictionnaire néerlandais Dictionnaire portugais Dictionnaire portugais-russe Dictionnaire russe Généré par l'IA Anglais Russe Espagnol Portugais Allemand Français Grec Néerlandais Italien Arabe Langue de l'interface Русский English Español Português Deutsch Français Ελληνικά Nederlands Italiano عربي Contacts Contactez-nous Confidentialité Politique de confidentialité $