g. x·d/dx quantum white noise conservation or QWN-Euler operator Euler operator (digital geometry), a local operation on a mesh which preserves topology...

In solid modeling and computer-aided design, the Euler operators modify the graph of connections to add or remove details of a mesh while preserving its...

Leonhard Euler, originally a student of Johann Bernoulli, provided many significant contributions not just to the development of geometry, but to mathematics...

"Following in the footsteps of geometry: The mathematical world of Christiaan Huygens". De Zeventiende Eeuw. 12: 83–93 – via Digital Library for Dutch Literature...

the algebraic character of coordinate geometry was subsumed by the calculus of infinitesimals of Lagrange and Euler. It took the simultaneous 19th-century...

Laplace operator, geometric smoothing might be achieved by convolving a surface geometry with a blur kernel formed using the Laplace-Beltrami operator. Applications...

projective plane. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows complicated structures...

{1}{n^{s}}}={\frac {1}{1^{s}}}+{\frac {1}{2^{s}}}+{\frac {1}{3^{s}}}+\cdots } Leonhard Euler considered this series in the 1730s for real values of s, in conjunction...

algorithms in computer vision. Earth radius#Principal sections Euler's theorem (differential geometry) Surface Curvature Berry, M. V.; Hannay, J. H. (1977). "Umbilic...

the sum of two primes, in a 1742 letter to Euler. Euler proved Alhazen's conjecture (now the Euclid–Euler theorem) that all even perfect numbers can be...

equations to geometry. Clifford analysis, the study of Clifford valued functions that are annihilated by Dirac or Dirac-like operators, termed in general...

Proofs of Fermat's little theorem Fermat quotient Euler's totient function Noncototient Nontotient Euler's theorem Wilson's theorem Primitive root modulo...

theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of...

frame modelling Free-surface modelling Computational geometry Computer graphics Engineering drawing Euler boundary representation List of CAx companies PLaSM...

In geometry, a geodesic (/ˌdʒiː.əˈdɛsɪk, -oʊ-, -ˈdiːsɪk, -zɪk/) is a curve representing in some sense the locally shortest path (arc) between two points...

Digital geometry – Deals with digitized models or images of objects of the 2D or 3D Euclidean space Digital topology – Properties of 2D or 3D digital...

back to René Descartes, substantial development of a higher-dimensional geometry only began in the 19th century, via the work of Arthur Cayley, William...

versions of the Kronecker delta have found applications in differential geometry and modern tensor calculus, particularly in formulations of gauge theory...

be simplified by removing terms describing viscous actions to yield the Euler equations. Further simplification, by removing terms describing vorticity...

A cube or regular hexahedron is a three-dimensional solid object in geometry, which is bounded by six congruent square faces, a type of polyhedron. It...

of σ {\displaystyle \sigma } to τ {\displaystyle \tau } . The boundary operator is the endomorphism ∂ {\displaystyle \partial } of the free abelian group...

Napier. In the 18th and 19th centuries, mathematicians such as Leonhard Euler and Carl Friedrich Gauss laid the foundations of modern number theory. Another...

which holds. The operator A {\displaystyle A} is the generalized moment of inertia or inertial operator. Classical calculation of the Euler–Lagrange equation...

some more of these formats is presented below: Boundary representation Euler operator Hypergraph Manifold (a mesh can be manifold or non-manifold) Mesh subdivision...

seen as a prediction of general relativity for the almost flat spacetime geometry around stationary mass distributions. Some predictions of general relativity...

configuration (or pattern) in a binary image, using the morphological erosion operator and a pair of disjoint structuring elements. The result of the hit-or-miss...

the paradigms of object-oriented programming. In Euclidean geometry, a translation (geometry) moves every point a constant distance in a specified direction...

methods need to solve an equation at every step Backward Euler method — implicit variant of the Euler method Trapezoidal rule — second-order implicit method...

input is an equation. In digital geometry it is a method of drawing a curve pixel by pixel. Here input is an array (digital image). damped sine wave Is...

}(-1)^{i}b_{i}(K,F),\,} where χ ( K ) {\displaystyle \chi (K)} denotes Euler characteristic of K and any field F. For any two spaces X and Y we have...