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Geometric modeling kernel
Russian Geometric Kernel (also known as RGK) is a proprietary geometric modeling kernel developed by several Russian software companies, most notably Top
Russian_Geometric_Kernel
3D modeling software component
A geometric modeling kernel is a solid modeling software component used in computer-aided design (CAD) packages. Available modelling kernels include: ACIS
Geometric_modeling_kernel
Geometric modelling kernel
C3D Toolkit is a proprietary cross-platform geometric modeling kit software developed by Russian C3D Labs (previously part of ASCON Group). It's written
C3D_Toolkit
Parametric CAD software application
modeling based on commercial Parasolid geometric kernel. It's primarily developed and distributed by Russian software company Top Systems. Supported
T-FLEX_CAD
Russian mathematician (born 1966)
Yakovlevich Perelman (Russian: Григорий Яковлевич Перельман, pronounced [ɡrʲɪˈɡorʲɪj ˈjakəvlʲɪvʲɪtɕ pʲɪrʲɪlʲˈman] ; born 13 June 1966) is a Russian mathematician
Grigori_Perelman
On short connecting nets with added points
approximate kernelization scheme (PSAKS): for any ε > 0 {\displaystyle \varepsilon >0} it is possible to compute a polynomial-sized kernel, which looses
Steiner_tree_problem
Chinese-American mathematician (born 1949)
major contributors to the development of modern differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and
Shing-Tung_Yau
In discrete geometry, geometric rigidity is a theory for determining if a geometric constraint system (GCS) has finitely many d {\displaystyle d} -dimensional
Geometric_rigidity
Russian-American mathematician
differential geometry, and functional analysis, including the study of heat kernels on infinite-dimensional groups. Gordina is the daughter of mathematician
Maria_Gordina
American mathematician (1943–2024)
Mathematics at Columbia University. Hamilton is known for contributions to geometric analysis and partial differential equations, and particularly for developing
Richard_S._Hamilton
Russian-French mathematician
Gromov, Michael Gromov or Misha Gromov; Russian: Михаи́л Леони́дович Гро́мов; born 23 December 1943) is a Russian-French mathematician known for his work
Mikhael Gromov (mathematician)
Mikhael_Gromov_(mathematician)
Set of principles for modeling solid geometry
task of developing the C3D geometric modeling kernel as a standalone product – the only commercial 3D modeling kernel from Russia. Other contributions came
Solid_modeling
variety A over a field K of characteristic p is the integer k for which the kernel A[p] of multiplication by p has pk points. It may take any value from 0
Hasse–Witt_matrix
Random change in the energy inside a volume
(}|k|^{2}+m^{2}{\big )}} (the relativistic quantum kernel is nonlocal differently from the non-relativistic classical heat kernel, but it is causal),[citation needed]
Quantum_fluctuation
Computer-aided design software
the OPENNURBS Kernel, the 3D CAD Application called Rhinoceros 3D. An independent geometric modeling kernel has been evolving in Russia since the 1990s
History_of_CAD_software
Topological space that locally resembles Euclidean space
harmonic functions: the kernel of the Laplace operator. This leads to such functions as the spherical harmonics, and to heat kernel methods of studying manifolds
Manifold
3D computer graphics software
award called the Suzanne Award. Blender has support for a variety of geometric primitives, including polygon meshes, Bézier curves, NURBS surfaces, metaballs
Blender_(software)
Austrian physicist, philosopher and university educator (1838–1916)
Fundamentals of the Theory of Movement Perception (2001) Energeticism Mach (kernel) Mach bands Mach disk Mach reflection Mach's principle Mach–Zehnder interferometer
Ernst_Mach
Operating system for Amiga computers
AmigaOS is a single-user operating system based on a preemptive multitasking kernel, called Exec. It includes an abstraction of the Amiga's hardware, a disk
AmigaOS
Matrix group
2 ( Z ) {\displaystyle \Gamma =\mathrm {SL} _{2}(\mathbb {Z} )} is the kernel of π n {\displaystyle \pi _{n}} , and it is usually denoted Γ ( n )
Congruence_subgroup
If G is a finitely generated group with exponent n, is G necessarily finite?
(greater than 1010), and supplied a considerably simpler proof based on geometric ideas. The case of even exponents turned out to be much harder to settle
Burnside_problem
Study of numbers that are not solutions of polynomials with rational coefficients
Theory (1967). AMS Translations of Mathematical Monographs. Translated from Russian by B. Volkmann. American Mathematical Society. ISBN 978-1-4704-4442-6.
Transcendental_number_theory
American mathematician
24, 2008) was a mathematician known for his seminal contributions to geometric group theory and 3-manifold topology. Stallings was a Professor Emeritus
John_R._Stallings
Discrete subgroup in a locally compact topological group
measure. In the special case of subgroups of Rn, this amounts to the usual geometric notion of a lattice as a periodic subset of points, and both the algebraic
Lattice_(discrete_subgroup)
[Erlagol notebook] (PDF) (in Russian). The Novosibirsk State University. 2018. Dowling, T. A. (February 1973). "A class of geometric lattices based on finite
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Specification of a mathematical group by generators and relations
homomorphism φ : FG → G whose restriction to G is the identity map. Let K be the kernel of this homomorphism. Then K is normal in FG, therefore is equal to its
Presentation_of_a_group
Set with associative invertible operation
1983 Russian original by M. Reid. Universitext. Springer-Verlag, Berlin, first published in English in 1987. "Transformation Groups from the Geometric Viewpoint"
Group_(mathematics)
Species of Pentatomid insect
When stink bugs feed on corn, they go through the husk before eating the kernels, hiding the damage until the husks are removed during harvesting. The same
Brown_marmorated_stink_bug
In geometric topology, Busemann functions are used to study the large-scale geometry of geodesics in Hadamard spaces and in particular Hadamard manifolds
Busemann_function
Group in arithmetic geometry
A can be identified with  and the pairing is an alternating form. The kernel of this form is the subgroup of divisible elements, which is trivial if
Tate–Shafarevich_group
South Korean mathematician (born 1957)
University of Science and Technology, and is the head of the Center for Geometric Research at the Center for Leading Research. He is one of executive editors
Kang-Tae_Kim
Free and open-source object relational database management system
This limitation is primarily because older operating systems required kernel changes to allow allocating large blocks of shared memory. PostgreSQL.org
PostgreSQL
SpaceX satellite Internet constellation
that Musk had been in regular contact with Russian President Vladimir Putin and other high ranking Russian government officials since late 2022, discussing
Starlink
2004 book on evolution by Richard Dawkins & Yan Wong
partially resolved. The authors describe the origin of eukaryotes (Greek, "true kernel"), organisms with a cell nucleus and Lynn Margulis's endosymbiotic theory
The_Ancestor's_Tale
Spline function
therefore interpolation between the knots equals convolution with a smoothing kernel. Example, if we want to interpolate three values in between B-spline nodes
B-spline
Process of calculating the causal factors that produced a set of observations
the kernel K ( x , y ) {\displaystyle K(x,y)} is kind of a delta function that peaks on line Γ x {\displaystyle {\Gamma _{x}}} . With such a kernel, the
Inverse_problem
Mathematics study in geometry
geometry, the derived version of noncommutative algebraic geometry, is the geometric study of derived categories and related constructions of triangulated
Derived noncommutative algebraic geometry
Derived_noncommutative_algebraic_geometry
console; standard administration tasks] (PDF). ОПЕРАЦИОННЫЕ СИСТЕМЫ (in Russian). Yekaterinburg. p. 99. Archived from the original (PDF) on April 26, 2012
List of filename extensions (M–R)
List_of_filename_extensions_(M–R)
Theorem concerning uniform convergence
A\setminus B} . Appealing to the sigma additivity of μ and using the geometric series, we get μ ( B ) ≤ ∑ k ∈ N μ ( E n k , k ) < ∑ k ∈ N ε 2 k = ε
Egorov's_theorem
Mathematical transform that expresses a function of time as a function of frequency
(translated from Russian) Gelfand, I.M.; Shilov, G.E. (1968), Generalized Functions, vol. 2, New York: Academic Press (translated from Russian) Gelfand, I
Fourier_transform
Spectral sequence
generator in degree 0 {\displaystyle 0} denoted ι {\displaystyle \iota } . The kernel K 0 {\displaystyle K_{0}} consists of all elements S q I ι {\displaystyle
Adams_spectral_sequence
Branch of mathematics
Zn = Ker dn and the boundaries Bn = Im dn+1, where Ker d and Im d denote the kernel and the image of d. Since the composition of two consecutive boundary maps
Homological_algebra
equation discovered by Charles Loewner in 1923 in complex analysis and geometric function theory. Originally introduced for studying slit mappings (conformal
Loewner_differential_equation
was primarily a geometrical text and also contained some important developments, including the list of Pythagorean triples, geometric solutions of linear
List of publications in mathematics
List_of_publications_in_mathematics
Paradigm in machine learning
generally assumed in supervised learning and yields a preference for geometrically simple decision boundaries. In the case of semi-supervised learning
Weak_supervision
Graph representing edges of another graph
1145/321850.321853, MR 0347690, S2CID 15036484. Maffray, Frédéric (1992), "Kernels in perfect line-graphs", Journal of Combinatorial Theory, Series B, 55
Line_graph
Number, approximately 3.14
while Indian mathematicians made a five-digit approximation, both using geometrical techniques. The first computational formula for π, based on infinite
Pi
System software for the Xbox consoles
hasn’t been highly documented. The system software's interface uses a geometrical placement of squares and rectangular items that scrolls as a continuous
Xbox_system_software
Field of mathematics and science based on non-linear systems and initial conditions
{r}}-{\vec {r}}^{,},t)f[\psi _{n}({\vec {r}}^{,},t)]d{\vec {r}}^{,}} , where kernel K ( r → − r → , , t ) {\displaystyle K({\vec {r}}-{\vec {r}}^{,},t)} is
Chaos_theory
Subspace preserved by a linear mapping
whether a given subspace W is invariant under T is ostensibly a problem of geometric nature. Matrix representation allows one to phrase this problem algebraically
Invariant_subspace
Computer graphics method
be represented by the image's resolution. To do this, they use a filter kernel, such as a Gaussian filter, or filters such as Mitchell–Netravali filters
Path_tracing
Hungarian and American mathematician and physicist (1903–1957)
Invariant Kernels and Screw Functions". p. 2. arXiv:1302.4343 [math.FA]. Alpay, Daniel; Levanony, David (2008). "On the Reproducing Kernel Hilbert Spaces
John_von_Neumann
1845–1852 mass starvation in Ireland
beginning of February 1846. The initial shipments were of unground dried kernels, but the few Irish mills in operation were not equipped for milling maize
Great_Famine_(Ireland)
Type of mathematical space
could be formulated for spaces of functions rather than just numbers or geometrical points. The idea of regarding functions as themselves points of a generalized
Compact_space
On when a space equals the closed convex hull of its extreme points
convex sets], Doklady Akademii Nauk SSSR (in Russian), 57: 119–122 Bell, J.; Fremlin, David (1972). "A geometric form of the axiom of choice" (PDF). Fundamenta
Krein–Milman_theorem
Universal construction of a complex Lie group from a real Lie group
have the inclusion Φ(ker π) ⊂ Z(GC), which follows from the fact that the kernel of the adjoint representation of GC equals its centre, combined with the
Complexification_(Lie_group)
1438–1533 empire in South America
on vases and cups (qirus). These paintings are usually accompanied by geometric patterns known as toqapu, which are also found in textiles. Researchers
Inca_Empire
Representation of the symmetry group of spacetime in special relativity
)} . Its kernel must in particular take the identity matrix to itself, A†IA = A†A = I and therefore A† = A−1. Thus AX = XA for A in the kernel so, by Schur's
Representation theory of the Lorentz group
Representation_theory_of_the_Lorentz_group
Matrix used in complex analysis
derivation of the Grunsky inequalities using reproducing kernels and singular integral operators in geometric function theory; a more recent related approach can
Grunsky_matrix
biology, the nucleus (pl. nuclei; from Latin nucleus or nuculeus, meaning 'kernel' or 'seed') is a membrane-enclosed organelle found in eukaryotic cells.
Glossary_of_engineering:_A–L
Linus Torvalds (1969–): Finnish software engineer, creator of the Linux kernel. Alan Turing (1912–1954): English mathematician, computer scientist, and
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Set of techniques for creating images, diagrams, or animations to communicate a message
of data from simulations or experiments, with an implicit or explicit geometric structure, to allow the exploration, analysis, and understanding of the
Visualization_(graphics)
British-Lebanese mathematician (1929–2019)
non-compact manifolds, acted on by a discrete group with compact quotient. The kernel of the elliptic operator is in general infinite-dimensional in this case
Michael_Atiyah
Type of mathematical functions
\omega (\zeta ,z)} is a differential form called the Bochner-Martinelli kernel. In particular if f is holomorphic the second term vanishes, so f ( z )
Function of several complex variables
Function_of_several_complex_variables
Indigenous peoples of the United States
dependent on maize were mitigated by the practice of converting maize kernels into hominy in a process called Nixtamalization. The agriculture gender
Native Americans in the United States
Native_Americans_in_the_United_States
Type of mathematical model used for infectious diseases
the force of infection, which, of course, will depend, though the contact kernel k ( a , a 1 ; t ) {\displaystyle k(a,a_{1};t)} on the interactions between
Compartmental models (epidemiology)
Compartmental_models_(epidemiology)
German-American mathematician (1928–1999)
Moser–Trudinger inequality was important for this work, highlighting the geometric significance of optimal constants in functional inequalities. Research
Jürgen_Moser
Arrangement of points on a sphere
{\displaystyle \alpha } -kernels. For integrable Riesz kernels see the 1972 work of Landkof. For non-integrable Riesz kernels, the poppy-seed bagel theorem
Thomson_problem
Differentiable manifold
Cauchy–Riemann manifold, is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space
CR_manifold
Topic in comparative religion
often applied to the later nineteenth century, but the shared doctrinal kernel is the lexicon of "astral cosmology" and "astral anatomy". Early Theosophy
Western esotericism and Eastern religions
Western_esotericism_and_Eastern_religions
Representation theory
Mathématique de France, 84: 97–205, MR 0084713 Davies, E. B. (1989), Heat Kernels and Spectral Theory, Cambridge University Press, ISBN 0-521-40997-7 Dieudonné
Plancherel theorem for spherical functions
Plancherel_theorem_for_spherical_functions
Johan AK; De Moor, Bart (2003). "Coupled transductive ensemble learning of kernel models" (PDF). Journal of Machine Learning Research. 1: 1–48. Shmueli, Galit;
List of datasets for machine-learning research
List_of_datasets_for_machine-learning_research
Notion in supervised machine learning
dimension calculations into such statistical methods such as those using kernels[citation needed]. The Memory Capacity (sometimes Memory Equivalent Capacity)
Vapnik–Chervonenkis_dimension
Alternative mathematical ordering
S2CID 16990257 Evans, David M. (17 November 1997), "Finite covers with finite kernels", Annals of Pure and Applied Logic, 88 (2–3): 109–147, CiteSeerX 10.1.1
Cyclic_order
Principle in kinetic systems
variables, where π becomes a probability density, and P(s′, s) a transition kernel probability density from state s′ to state s: π ( s ′ ) P ( s ′ , s ) =
Detailed_balance
Awarded every year by the American Mathematical Society
Craig A.; Widom, Harold (1994). "Level-spacing distributions and the Airy kernel". Communications in Mathematical Physics. 159: 151–174. arXiv:hep-th/9211141
Leroy_P._Steele_Prize
American scientist and activist (1901–1994)
Pauling in 1991, on his 90th birthday. Linus Torvalds, developer of the Linux kernel, and Linus Sebastian, YouTuber known for the technology-oriented channel
Linus_Pauling
scale, it could be used for calculus of infinitesimals and proportions of geometric figures. There are three types: Reduction compass: developed by Commandino
List of Italian inventions and discoveries
List_of_Italian_inventions_and_discoveries
1991; later it evolved and was known as CERN httpd. 1991 onwards: Linux kernel development and maintenance were greatly helped by English-born Andrew Morton
List of English inventions and discoveries
List_of_English_inventions_and_discoveries
French researcher (born 1957)
spatial distribution of events using a mixture of anisotropic Gaussian kernels. Those approaches allow one to identify a large number of faults that are
Didier_Sornette
tribal unions. Based on the findings in Uzerliktepe, Aghdam (grapevine kernel remainings) and in Nakhchivan (stone tools for crushing grapes), grapevine
Bronze and Iron Age in Azerbaijan
Bronze_and_Iron_Age_in_Azerbaijan
of Paraná, Curitiba, October. 225 NP Vaníček, P. and L. E. Sjöberg 1989 Kernel modification in generalized Stokes's technique for geoid determination.
List_of_works_by_Petr_Vaníček
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
Male
Russian
Variant spelling of Russian Faddei, FADEI means "courageous."
Male
Russian
(Russian ИÑидор): Russian form of Greek Isidoros, ISIDOR means "gift of Isis."
Female
Russian
(Russian Ева): Armenian and Russian form of Greek Eva, YEVA means "life."Â
Male
Russian
Variant spelling of Russian Irinei, IRINEY means "peaceful."
Male
Russian
Variant spelling of Russian Afanasiy, AFANASEI means "immortal."
Male
Russian
Variant spelling of Russian Vasiliy, VASSILY means "king."
Male
Russian
Variant spelling of Russian Vasiliy, VASILY means "king."
Male
Russian
(Паша) Russian pet form of Czech/Russian Pavel, PASHA means "small."
Male
Russian
Variant spelling of Russian Arseniy, ARSENI means "virile."
Male
Russian
Variant spelling of Russian Gennadiy, GENNADI means "noble."
Male
Russian
Variant spelling of Russian Arseniy, ARSENIY means "virile."
Female
Russian
(Людмила) Russian feminine form of Czech/Russian Ludmil, LUDMILA means "people's favor."Â
Male
Russian
Variant spelling of Russian Aleksey, ALEXEY means "defender."
Male
Russian
Variant spelling of Russian Vikentiy, VIKENTI means "conquering."
Male
Russian
Variant spelling of Russian Afanasiy, AFANASY means "immortal."
Male
Russian
Variant spelling of Russian Afanasiy, AFANASII means "immortal."
Male
German
Old German name, GOMERIC means "man-power."
Male
Russian
Variant spelling of Russian Gennadiy, GENNADY means "noble."
Male
English
Anglicized form of Irish Gaelic OisÃn, OSSIAN means "little deer."
Male
Russian
(РоÑÑ) Russian pet form of Czech/Russian Rostislav, ROSTYA means "usurp-glory."
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
Surname or Lastname
English
English : from the Middle English personal name Goderiche (from Old English GÅdrÄ«c, composed of the elements gÅd ‘good’ + rÄ«c ‘power’).English : from the Middle English personal name Cuterich (from Old English CūðrÄ«c, composed of the elements cūð ‘famous’ + rÄ«c ‘power’).
Boy/Male
British, English
Chief Guardian
Girl/Female
Irish
A green field; the warm sandy color of a lion's coat.
Boy/Male
Danish, German, Swedish
Strong; Noble
Girl/Female
Tamil
Lake
Female
German
Feminine form of German Adalwolf, ADALWOLFA means "noble wolf."
Boy/Male
Gujarati, Hindu, Indian
Simple
Boy/Male
Hindu, Indian, Marathi
Truthful
Boy/Male
Arabic, Muslim
Victory of the Religion Islam
Boy/Male
Arabic, Muslim
Pillar of the Faith
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
RUSSIAN GEOMETRIC-KERNEL
a.
brutal; cruel; savagely boisterous; murderous; as, ruffian rage.
a.
Alt. of Geometrical
a.
Of or pertaining to Russia, its inhabitants, or language.
v. i.
To investigate or apprehend geometrical quantities or laws; to make geometrical constructions; to proceed in accordance with the principles of geometry.
a.
Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.
n.
A native or inhabitant of Prussia.
v. i.
To play the ruffian; to rage; to raise tumult.
pl.
of Geometry
n.
Morbid dread of Russia or of Russian influence.
a.
Made of fustian.
a.
Pertaining to geometry.
n.
See Hessian boots and cloth, under Hessian, a.
v. t.
To Russianize; as, to Russify conquered tribes.
n.
A native or inhabitant of Russia; the language of Russia.
a.
Pompous; ridiculously tumid; inflated; bombastic; as, fustian history.
a.
Of or pertaining to Prussia.
n.
A native or inhabitant of Muscovy or ancient Russia; hence, a Russian.
n. sing. & pl.
A Russian, or the Russians.
a.
Of or pertaining to aerometry; as, aerometric investigations.