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Intrinsic motivation in the study of artificial intelligence and any robotics is a mechanism for enabling artificial agents (including robots) to exhibit inherently rewarding behaviours such as exploration and curiosity, grouped under the same term in the study of psychology. Psychologists consider intrinsic motivation in humans to be the drive ...
Thus the Gaussian curvature is an intrinsic invariant of a surface. Gauss presented the theorem in this manner (translated from Latin): Thus the formula of the preceding article leads itself to the remarkable Theorem. If a curved surface is developed upon any other surface whatever, the measure of curvature in each point remains unchanged.
It allows to link multiple representations dynamically. For example, changing a formula can instantly change the graph, the table of values, and the text read-out for the function represented in all these ways. Technology use can increase accuracy and speed of data collection and allow real-time visualization and experimentation. [14]
Anderson's theorem (real analysis) Andreotti–Frankel theorem (algebraic geometry) Angle bisector theorem (Euclidean geometry) Ankeny–Artin–Chowla theorem (number theory) Anne's theorem ; Apéry's theorem (number theory) Apollonius's theorem (plane geometry) Appell–Humbert theorem (complex manifold) Arakelyan's theorem (complex analysis)
In Euclid's Elements, the first 28 Propositions and Proposition 31 avoid using the parallel postulate, and therefore are valid in absolute geometry.One can also prove in absolute geometry the exterior angle theorem (an exterior angle of a triangle is larger than either of the remote angles), as well as the Saccheri–Legendre theorem, which states that the sum of the measures of the angles in ...
An example of an r = 3 parameter group is the matrix group SO(3) consisting of all 3 × 3 orthogonal matrices with unit determinant. A possible parametrization of this group is in terms of Euler angles: x = ( α , β , γ ) {\displaystyle \mathbf {x} =(\alpha ,\beta ,\gamma )} (see e.g., this article for the explicit form of an element of SO(3 ...
An example of intrinsic motivation is when an employee becomes an IT professional because he or she wants to learn about how computer users interact with computer networks. The employee has the intrinsic motivation to gain more knowledge, and will continue to want to learn even in the face of failure. [ 36 ]
When the task is unattractive and intrinsic motivation is insufficient (e.g., household chores), then extrinsic rewards are useful to provide incentives for behavior. School programs that provide money or prizes for reading books have been criticized for their potential to reduce intrinsic motivation by overjustification.