Statements (68)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:concept
|
| gptkbp:defines |
gptkb:Bernstein_basis_functions
|
| gptkbp:hasGenre |
n
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bernstein's polynomial
|
| gptkbp:isAccessibleBy |
control points
|
| gptkbp:isATypeOf |
polynomial interpolation
|
| gptkbp:isAvenueFor |
data fitting
|
| gptkbp:isEvaluatedBy |
t in [0, 1]
|
| gptkbp:isLocatedIn |
B_n(f) = Σ (f(k/n) * C(n, k) * (t^k) * ((1-t)^(n-k))) for k=0 to n
|
| gptkbp:isNamedAfter |
S._N._Bernstein
|
| gptkbp:isNear |
for all x in [0, 1]
|
| gptkbp:isRelatedTo |
gptkb:Bézier_curves
spline theory Weierstrass approximation theorem |
| gptkbp:isUsedFor |
continuous functions
|
| gptkbp:isUsedIn |
gptkb:quantum_computing
artificial intelligence cryptography image processing cloud computing computer graphics machine learning animation augmented reality computer vision data visualization digital marketing educational technology financial modeling game development human-computer interaction mathematical modeling mobile app development natural language processing network security robotics scientific computing statistical modeling surface modeling virtual reality web development bioinformatics computer simulations computer-aided design content creation data mining data science finite element analysis signal processing network theory optimization problems information retrieval online education numerical analysis search engine optimization shape modeling software engineering control theory curve fitting distance learning statistical graphics social media analysis e-learning big data analysis geometric modeling machine vision |
| gptkbp:usedIn |
approximation theory
|
| gptkbp:wasAffecting |
on [0, 1]
|