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The 'List of Russian mathematicians' article includes mathematicians from the Russian Empire, the Soviet Union, and the Russian Federation.
Answer: True
Explanation: The source explicitly states that the 'List of Russian mathematicians' article encompasses individuals from the Russian Empire, the Soviet Union, and the Russian Federation.
Georg Cantor, the inventor of set theory, was born in Saxony and later moved to the Russian Empire.
Answer: False
Explanation: Georg Cantor was born in the Russian Empire and later moved to Saxony with his family at age 11, not the other way around.
Pafnuti Chebyshev is considered a founding father of Russian mathematics and contributed to probability, statistics, and number theory.
Answer: True
Explanation: Pafnuti Chebyshev is indeed regarded as a founding father of Russian mathematics, with significant contributions across probability, statistics, and number theory.
Leonhard Euler, a Swiss-born mathematician, spent most of his life in St. Petersburg, Russia, and made discoveries in graph theory.
Answer: True
Explanation: Leonhard Euler, a Swiss-born mathematician, spent most of his life in St. Petersburg, Russia, where he made important discoveries in mathematical analysis, graph theory, and number theory.
Anatoly Fomenko, a topologist, proposed the New Chronology, a controversial theory reinterpreting historical timelines.
Answer: True
Explanation: Anatoly Fomenko, a topologist and chronologist, is known for proposing the controversial New Chronology, which reinterprets historical events.
Sofia Kovalevskaya was the first woman professor of physics in Northern Europe and Russia.
Answer: False
Explanation: Sofia Kovalevskaya holds the distinction of being the first woman professor of mathematics in Northern Europe and Russia, not physics.
The 'List of Russian mathematicians' article covers mathematicians from which historical and contemporary entities?
Answer: The Russian Empire, the Soviet Union, and the Russian Federation
Explanation: The 'List of Russian mathematicians' article compiles famous mathematicians who originated from the Russian Empire, the Soviet Union, and the Russian Federation.
Georg Cantor, renowned as the inventor of set theory, was born into which historical entity?
Answer: Russian Empire
Explanation: Georg Cantor, the inventor of set theory, was born into the Russian Empire before his family moved to Saxony.
Who is regarded as a founding father of Russian mathematics and is known for concepts like Chebyshev's inequality and Chebyshev distance?
Answer: Pafnuti Chebyshev
Explanation: Pafnuti Chebyshev is regarded as a founding father of Russian mathematics, known for his contributions to probability, statistics, and number theory, including Chebyshev's inequality and Chebyshev distance.
Leonhard Euler, a Swiss-born mathematician, spent most of his life in which Russian city, making discoveries in graph theory and number theory?
Answer: St. Petersburg
Explanation: Leonhard Euler, a Swiss-born mathematician, spent most of his life in St. Petersburg, Russia, making important discoveries in various mathematical fields.
Anatoly Fomenko, a topologist and chronologist, put forth a controversial theory known as what?
Answer: The New Chronology
Explanation: Anatoly Fomenko, a topologist and chronologist, put forth the controversial theory known as the New Chronology.
Sofia Kovalevskaya holds the distinction of being the first woman professor of what in Northern Europe and Russia?
Answer: Mathematics
Explanation: Sofia Kovalevskaya holds the distinction of being the first woman professor of mathematics in Northern Europe and Russia.
Sergei Adian's primary contributions were in the field of topology.
Answer: False
Explanation: Sergei Adian's primary contributions were in group theory, particularly his work on the Burnside problem, not topology.
Alexander Beilinson is known for his work exclusively in mathematical physics.
Answer: False
Explanation: Alexander Beilinson's influential work spans representation theory, algebraic geometry, and mathematical physics, not exclusively the latter.
Nikolai Chebotaryov's density theorem is a fundamental result in topology.
Answer: False
Explanation: Nikolai Chebotaryov's density theorem is a fundamental result in algebraic number theory, not topology.
Sergei Chernikov developed Chernikov groups in infinite group theory and contributed to linear programming.
Answer: True
Explanation: Sergei Chernikov made significant contributions to both infinite group theory, through the development of Chernikov groups, and to linear programming.
Vladimir Drinfeld introduced quantum groups and received the Abel Prize for his work.
Answer: False
Explanation: Vladimir Drinfeld introduced quantum groups and the ADHM construction, receiving the Fields Medal for his significant work, not the Abel Prize.
Eugene Dynkin developed the Dynkin diagram and the Doob–Dynkin lemma.
Answer: True
Explanation: Eugene Dynkin developed the Dynkin diagram, used in the classification of Lie algebras, and the Doob–Dynkin lemma in probability theory, among other concepts.
Ivan Fesenko is a specialist in topology.
Answer: False
Explanation: Ivan Fesenko is a number theorist, specializing in the study of integers and their properties, not topology.
Israel Gelfand was a major contributor to group theory, representation theory, and linear algebra.
Answer: True
Explanation: Israel Gelfand made major contributions to numerous areas of mathematics, including group theory, representation theory, and linear algebra, with concepts such as the Gelfand representation.
Alexander Gelfond received the Fields Medal for his work on Gelfond's theorem.
Answer: False
Explanation: Alexander Gelfond, author of Gelfond's theorem, was a recipient of the Wolf Prize in Mathematics, not the Fields Medal.
David Kazhdan is known for the Kazhdan-Lusztig conjecture and received the Fields Medal.
Answer: False
Explanation: David Kazhdan is known for the Kazhdan-Lusztig conjecture and received several prestigious awards, including the MacArthur Fellowship, Israel Prize, and Shaw Prize in Mathematics, but not the Fields Medal himself.
Askold Khovanskii is the inventor of the theory of Fewnomials and a recipient of the Fields Medal.
Answer: False
Explanation: Askold Khovanskii is the inventor of the theory of Fewnomials and a recipient of the Jeffery–Williams Prize, not the Fields Medal.
Aleksandr Kurosh is associated with the Kurosh subgroup theorem and the Kurosh problem in group theory.
Answer: True
Explanation: Aleksandr Kurosh is associated with the Kurosh subgroup theorem and the Kurosh problem, which are fundamental results concerning the structure of subgroups in free products of groups.
Sergei Adian made significant contributions to solving the Burnside problem within which field of mathematics?
Answer: Group theory
Explanation: Sergei Adian is primarily known for his extensive work in group theory, particularly his contributions to solving the Burnside problem.
Alexander Beilinson is an influential mathematician known for his significant work in representation theory, algebraic geometry, and what other field?
Answer: Mathematical physics
Explanation: Alexander Beilinson is known for his significant work in representation theory, algebraic geometry, and mathematical physics.
Nikolai Chebotaryov is the author of a fundamental result in algebraic number theory that describes the distribution of prime ideals. What is it called?
Answer: Chebotarev's density theorem
Explanation: Nikolai Chebotaryov is the author of Chebotarev's density theorem, a fundamental result in algebraic number theory.
Sergei Chernikov made significant contributions to infinite group theory, where he developed Chernikov groups, and to what other mathematical method?
Answer: Linear programming
Explanation: Sergei Chernikov made significant contributions to infinite group theory and to linear programming, a mathematical method for optimization.
Vladimir Drinfeld, a mathematician and theoretical physicist, introduced quantum groups and the ADHM construction. What prestigious award did he receive?
Answer: Fields Medal
Explanation: Vladimir Drinfeld received a Fields Medal for his significant work, including the introduction of quantum groups and the ADHM construction.
Eugene Dynkin developed the Dynkin diagram, which is used in the classification of Lie algebras, and which lemma in probability theory?
Answer: Doob–Dynkin lemma
Explanation: Eugene Dynkin developed the Dynkin diagram and the Doob–Dynkin lemma in probability theory, among other algebraic and measure theory concepts.
What is Ivan Fesenko's area of mathematical specialization?
Answer: Number theory
Explanation: Ivan Fesenko is a number theorist, specializing in the study of integers and their properties.
Israel Gelfand was a major contributor to numerous areas of mathematics, including group theory, representation theory, and what other field?
Answer: Linear algebra
Explanation: Israel Gelfand was a major contributor to group theory, representation theory, and linear algebra, among other fields.
Alexander Gelfond is the author of Gelfond's theorem and a recipient of which international award recognizing outstanding achievements in mathematics?
Answer: Wolf Prize in Mathematics
Explanation: Alexander Gelfond, author of Gelfond's theorem, was a recipient of the Wolf Prize in Mathematics, an international award for outstanding achievements.
David Kazhdan is known for his contributions to Representation theory and Category theory, and for which conjecture?
Answer: Kazhdan-Lusztig conjecture
Explanation: David Kazhdan is known for his contributions to Representation theory and Category theory, and for the Kazhdan-Lusztig conjecture.
Askold Khovanskii is the inventor of the theory of Fewnomials and made contributions to the theory of what in algebraic geometry?
Answer: Toric varieties
Explanation: Askold Khovanskii is the inventor of the theory of Fewnomials and made contributions to the theory of toric varieties in algebraic geometry.
Aleksandr Kurosh is associated with the Kurosh subgroup theorem and which other fundamental concept in group theory?
Answer: Kurosh problem
Explanation: Aleksandr Kurosh is associated with the Kurosh subgroup theorem and the Kurosh problem in group theory.
Nikolay Bogolyubov made contributions to quantum mechanics and authored the edge-of-the-wedge theorem.
Answer: True
Explanation: Nikolay Bogolyubov, a distinguished mathematician and theoretical physicist, made important contributions to quantum mechanics and authored the edge-of-the-wedge theorem, among other significant results.
Viktor Bunyakovsky is credited with an early discovery of the Pythagorean theorem.
Answer: False
Explanation: Viktor Bunyakovsky is credited with an early discovery of the Cauchy–Schwarz inequality, a fundamental result in mathematics, not the Pythagorean theorem.
Leonid Berlyand is a recipient of the Fields Medal for his work on asymptotic homogenization methods.
Answer: False
Explanation: Leonid Berlyand is a recipient of the Humboldt Prize, an award for internationally recognized scientists and scholars, not the Fields Medal.
Dmitri Egorov contributed to differential geometry and mathematical analysis.
Answer: True
Explanation: Dmitri Egorov is known for his significant contributions to differential geometry and mathematical analysis, including Egorov's Theorem.
Semyon Aranovich Gershgorin is famous for the Gerschgorin circle theorem, which provides bounds for eigenvalues of a matrix.
Answer: True
Explanation: Semyon Aranovich Gershgorin is renowned for the Gerschgorin circle theorem, a crucial tool in numerical linear algebra that provides bounds for the eigenvalues of a matrix.
Sergei Godunov developed Godunov's theorem and Godunov's scheme for solving integral equations.
Answer: False
Explanation: Sergei Godunov developed Godunov's theorem and Godunov's scheme as important contributions to the field of differential equations, particularly for hyperbolic partial differential equations, not integral equations.
Mikhail Kravchuk developed the Kravchuk polynomials and the Kravchuk matrix.
Answer: True
Explanation: Mikhail Kravchuk developed the Kravchuk polynomials, a family of orthogonal polynomials, and the Kravchuk matrix, which are used in various areas of mathematics and engineering.
Mark Krein developed the Tannaka–Krein duality and received a Fields Medal.
Answer: False
Explanation: Mark Krein developed the Tannaka–Krein duality and received a Wolf Prize for his significant contributions to functional analysis, not a Fields Medal.
Nikolay Krylov is the author of the edge-of-the-wedge theorem and the Krylov–Bogolyubov theorem.
Answer: True
Explanation: Nikolay Krylov is the author of the edge-of-the-wedge theorem and the Krylov–Bogolyubov theorem, both important in mathematical analysis and dynamical systems.
Nikolay Bogolyubov, a distinguished mathematician and theoretical physicist, authored which theorem?
Answer: The Krylov–Bogolyubov theorem
Explanation: Nikolay Bogolyubov authored the Krylov–Bogolyubov theorem, the edge-of-the-wedge theorem, and the describing function, making multiple contributions to quantum mechanics.
Viktor Bunyakovsky is credited with an early discovery of which fundamental inequality in mathematics?
Answer: Cauchy–Schwarz inequality
Explanation: Viktor Bunyakovsky is credited with an early discovery of the Cauchy–Schwarz inequality, a fundamental inequality in mathematics.
Leonid Berlyand, a PDE theorist, is a recipient of which international award for scientists and scholars?
Answer: Humboldt Prize
Explanation: Leonid Berlyand, a PDE theorist, is a recipient of the Humboldt Prize, an international award for scientists and scholars.
Dmitri Egorov is known for his significant contributions to differential geometry and what other broad area of mathematics?
Answer: Mathematical analysis
Explanation: Dmitri Egorov is known for his significant contributions to differential geometry and mathematical analysis.
Semyon Aranovich Gershgorin is famous for the Gerschgorin circle theorem, which provides bounds for what?
Answer: Eigenvalues of a matrix
Explanation: Semyon Aranovich Gershgorin is famous for the Gerschgorin circle theorem, which provides bounds for the eigenvalues of a matrix.
Sergei Godunov developed Godunov's theorem and Godunov's scheme, both important contributions to which field?
Answer: Differential equations
Explanation: Sergei Godunov developed Godunov's theorem and Godunov's scheme as important contributions to the field of differential equations.
Mikhail Kravchuk developed the Kravchuk polynomials, a family of orthogonal polynomials, and what other mathematical structure?
Answer: Kravchuk matrix
Explanation: Mikhail Kravchuk developed the Kravchuk polynomials and the Kravchuk matrix, used in various areas of mathematics and engineering.
Mark Krein developed the Tannaka–Krein duality, the Krein–Milman theorem, and the Krein space. His significant contributions were recognized with which award?
Answer: Wolf Prize
Explanation: Mark Krein's significant contributions to functional analysis were recognized with a Wolf Prize.
Nikolay Krylov is the author of the edge-of-the-wedge theorem and which other theorem, co-authored with Bogolyubov?
Answer: Krylov–Bogolyubov theorem
Explanation: Nikolay Krylov is the author of the edge-of-the-wedge theorem and the Krylov–Bogolyubov theorem, co-authored with Bogolyubov.
Aleksandr Aleksandrov developed the concept of CAT(k) space and Alexandrov's uniqueness theorem.
Answer: True
Explanation: Aleksandr Aleksandrov is indeed credited with developing the concept of CAT(k) space and formulating Alexandrov's uniqueness theorem, both significant contributions to geometry.
Pavel Alexandrov authored the Alexandroff compactification and the Alexandrov topology.
Answer: True
Explanation: Pavel Alexandrov is recognized for authoring both the Alexandroff compactification and the Alexandrov topology, key concepts in the field of topology.
Vladimir Arnold's work was limited to solving Hilbert's 13th problem.
Answer: False
Explanation: Vladimir Arnold's work was extensive, including co-authoring the Kolmogorov–Arnold–Moser theorem, introducing the ADE classification, and Arnold's rouble problems, in addition to solving Hilbert's 13th problem.
Vladimir Berkovich developed Berkovich spaces, which are analytic spaces over Archimedean fields.
Answer: False
Explanation: Vladimir Berkovich developed Berkovich spaces as analytic spaces over non-Archimedean fields, not Archimedean fields.
Boris Delaunay invented Delaunay triangulation and organized the first Soviet Student Olympiad in physics.
Answer: False
Explanation: Boris Delaunay invented Delaunay triangulation and organized the first Soviet Student Olympiad in mathematics, not physics.
Yevgraf Fyodorov identified the Periodic graph and catalogued all 230 space groups of crystals.
Answer: True
Explanation: Yevgraf Fyodorov, a mathematician and crystallographer, identified the Periodic graph and was the first to systematically catalogue all 230 space groups of crystals.
Mikhail Gromov is a prominent developer of geometric group theory and the inventor of the homotopy principle.
Answer: True
Explanation: Mikhail Gromov is a prominent developer of geometric group theory and is known for inventing the homotopy principle, among other significant contributions to geometry and topology.
Maxim Kontsevich received the Fields Medal for his work, including the Kontsevich integral.
Answer: True
Explanation: Maxim Kontsevich received the Fields Medal for his groundbreaking work, which includes the Kontsevich integral and the Kontsevich quantization formula.
Aleksandr Aleksandrov is credited with developing the concept of CAT(k) space and formulating which theorem?
Answer: Alexandrov's uniqueness theorem
Explanation: Aleksandr Aleksandrov is credited with developing the concept of CAT(k) space and formulating Alexandrov's uniqueness theorem.
Pavel Alexandrov authored the Alexandroff compactification and which other topological concept?
Answer: Alexandrov topology
Explanation: Pavel Alexandrov is the author of the Alexandroff compactification and the Alexandrov topology, both significant topological concepts.
Which of the following was a major achievement of Vladimir Arnold?
Answer: Solving Hilbert's 13th problem
Explanation: Vladimir Arnold successfully solved Hilbert's 13th problem, among other major achievements such as co-authoring the Kolmogorov–Arnold–Moser theorem.
Vladimir Berkovich is known for developing Berkovich spaces, which are analytic spaces over what kind of fields?
Answer: Non-Archimedean fields
Explanation: Vladimir Berkovich developed Berkovich spaces as analytic spaces over non-Archimedean fields.
Boris Delaunay is known for inventing Delaunay triangulation and organizing the first Soviet Student Olympiad in which subject?
Answer: Mathematics
Explanation: Boris Delaunay is known for inventing Delaunay triangulation and organizing the first Soviet Student Olympiad in mathematics.
Yevgraf Fyodorov was the first to systematically catalogue all 230 space groups of what?
Answer: Crystals
Explanation: Yevgraf Fyodorov was the first to systematically catalogue all 230 space groups of crystals, describing their symmetry structures.
Mikhail Gromov is a prominent developer of geometric group theory and the inventor of what principle?
Answer: Homotopy principle
Explanation: Mikhail Gromov is a prominent developer of geometric group theory and the inventor of the homotopy principle.
Maxim Kontsevich is the author of the Kontsevich integral and the Kontsevich quantization formula. What prestigious award did his groundbreaking work earn him?
Answer: Fields Medal
Explanation: Maxim Kontsevich's groundbreaking work, including the Kontsevich integral and quantization formula, earned him a Fields Medal.
Dmitri Anosov is known for developing the Anosov diffeomorphism, a dynamical system with strong chaotic behavior.
Answer: True
Explanation: Dmitri Anosov's significant contribution to dynamical systems is the development of the Anosov diffeomorphism, which describes systems exhibiting strong chaotic behavior.
Sergey Bernstein developed the Bernstein polynomial and Bernstein inequalities in probability theory.
Answer: True
Explanation: Sergey Bernstein is indeed credited with developing the Bernstein polynomial and Bernstein inequalities, along with Bernstein's theorem on monotone functions, contributing significantly to approximation theory and probability.
Aleksandr Khinchin developed the Pollaczek-Khinchine formula and the Wiener–Khinchin theorem in probability theory.
Answer: True
Explanation: Aleksandr Khinchin developed the Pollaczek-Khinchine formula and the Wiener–Khinchin theorem, along with the Khinchin inequality, all significant concepts in probability theory.
Andrey Kolmogorov developed the probability axioms and Kolmogorov complexity.
Answer: True
Explanation: Andrey Kolmogorov, a preeminent 20th-century mathematician, developed the probability axioms and Kolmogorov complexity, among many other contributions.
Dmitri Anosov developed a type of dynamical system characterized by strong chaotic behavior, known as what?
Answer: Anosov diffeomorphism
Explanation: Dmitri Anosov developed the Anosov diffeomorphism, a type of dynamical system characterized by strong chaotic behavior.
Sergey Bernstein developed the Bernstein polynomial, Bernstein's theorem on monotone functions, and which inequalities?
Answer: Bernstein inequalities in probability theory
Explanation: Sergey Bernstein developed the Bernstein polynomial, Bernstein's theorem on monotone functions, and Bernstein inequalities in probability theory.
Aleksandr Khinchin developed the Pollaczek-Khinchine formula, the Wiener–Khinchin theorem, and which inequality in probability theory?
Answer: Khinchin inequality
Explanation: Aleksandr Khinchin developed the Pollaczek-Khinchine formula, the Wiener–Khinchin theorem, and the Khinchin inequality in probability theory.
Andrey Kolmogorov is regarded as a preeminent 20th-century mathematician and a Wolf Prize winner. His contributions include the probability axioms and what concept in information theory?
Answer: Kolmogorov complexity
Explanation: Andrey Kolmogorov's contributions include the probability axioms and Kolmogorov complexity in information theory, among others.
Georgy Adelson-Velsky is solely recognized for his work on the Kaissa computer chess program.
Answer: False
Explanation: Georgy Adelson-Velsky is also recognized for inventing the AVL tree algorithm, a self-balancing binary search tree, in addition to his work on the Kaissa computer chess program.
Sergey Chaplygin authored Chaplygin's equation and introduced the notion of Chaplygin gas.
Answer: True
Explanation: Sergey Chaplygin's key contributions to aerodynamics include authoring Chaplygin's equation and introducing the notion of Chaplygin gas.
Alexander Alexandrovich Friedmann originated the theory that the universe is contracting.
Answer: False
Explanation: Alexander Alexandrovich Friedmann originated the pioneering theory that the universe is expanding, governed by the Friedmann equations, not contracting.
Boris Galerkin developed a numerical method for solving algebraic equations.
Answer: False
Explanation: Boris Galerkin developed the Galerkin method, a numerical technique primarily used for solving differential equations, not algebraic equations.
Valery Goppa invented Goppa codes and algebraic geometry codes, used in error-correcting.
Answer: True
Explanation: Valery Goppa is recognized as the inventor of Goppa codes and algebraic geometry codes, which are types of error-correcting codes used in information theory and cryptography.
Leonid Kantorovich founded linear programming and was awarded the Nobel Prize in Physics.
Answer: False
Explanation: Leonid Kantorovich founded linear programming and was awarded the Nobel Prize in Economics for his theory of optimal allocation of resources, not the Nobel Prize in Physics.
Anatoly Karatsuba developed the first fast multiplication algorithm.
Answer: True
Explanation: Anatoly Karatsuba developed the Karatsuba algorithm, which was indeed the first fast multiplication algorithm, significantly improving computational efficiency.
Leonid Khachiyan developed the Simplex algorithm for linear programming.
Answer: False
Explanation: Leonid Khachiyan developed the Ellipsoid algorithm, a polynomial-time algorithm for linear programming, not the Simplex algorithm.
Vladimir Kotelnikov is recognized as an author of the fundamental sampling theorem in information theory.
Answer: True
Explanation: Vladimir Kotelnikov was a pioneer in information theory and is recognized as an author of the fundamental sampling theorem.
Alexander Kronrod developed the Gauss–Kronrod quadrature formula and co-created the Kaissa computer chess program.
Answer: True
Explanation: Alexander Kronrod is known for developing the Gauss–Kronrod quadrature formula and for his role in creating Kaissa, the first world computer chess champion.
Aleksey Nikolaevich Krylov first developed the method of Krylov subspace for solving non-linear problems.
Answer: False
Explanation: Aleksey Nikolaevich Krylov first developed the method of Krylov subspace for solving large systems of linear equations, not non-linear problems.
Georgy Adelson-Velsky is recognized for inventing which self-balancing binary search tree algorithm?
Answer: AVL tree
Explanation: Georgy Adelson-Velsky is recognized for inventing the AVL tree algorithm, a self-balancing binary search tree.
Sergey Chaplygin's key contributions to aerodynamics include Chaplygin's equation and the notion of what?
Answer: Chaplygin gas
Explanation: Sergey Chaplygin's key contributions to aerodynamics include Chaplygin's equation and the notion of Chaplygin gas, a theoretical gas model.
Alexander Alexandrovich Friedmann originated the pioneering theory that the universe is expanding, governed by a set of equations known as what?
Answer: Friedmann equations
Explanation: Alexander Alexandrovich Friedmann originated the pioneering theory that the universe is expanding, governed by the Friedmann equations.
Boris Galerkin developed a numerical technique used to convert a continuous operator problem into a discrete problem, often employed for solving differential equations. What is it called?
Answer: Galerkin method
Explanation: Boris Galerkin developed the Galerkin method, a numerical technique often employed for solving differential equations by converting continuous problems into discrete ones.
Valery Goppa is recognized as the inventor of Goppa codes and which other types of error-correcting codes?
Answer: Algebraic geometry codes
Explanation: Valery Goppa is recognized as the inventor of Goppa codes and algebraic geometry codes, both types of error-correcting codes.
Leonid Kantorovich, a mathematician and economist, founded which method for optimizing a linear objective function subject to linear constraints?
Answer: Linear programming
Explanation: Leonid Kantorovich founded linear programming, a method for optimizing a linear objective function subject to linear constraints.
What was Anatoly Karatsuba's significant contribution to computational mathematics?
Answer: Developing the first fast multiplication algorithm
Explanation: Anatoly Karatsuba's significant contribution to computational mathematics was developing the first fast multiplication algorithm.
Which polynomial-time algorithm for linear programming did Leonid Khachiyan develop?
Answer: Ellipsoid algorithm
Explanation: Leonid Khachiyan developed the Ellipsoid algorithm, a polynomial-time algorithm for linear programming.
Vladimir Kotelnikov was a pioneer in information theory and is recognized as an author of which fundamental theorem?
Answer: The fundamental sampling theorem
Explanation: Vladimir Kotelnikov is recognized as an author of the fundamental sampling theorem in information theory.
Alexander Kronrod is known for developing the Gauss–Kronrod quadrature formula and for his role in creating which computer chess program that became the first world champion?
Answer: Kaissa
Explanation: Alexander Kronrod is known for developing the Gauss–Kronrod quadrature formula and for his role in creating Kaissa, the first world computer chess champion.
Aleksey Nikolaevich Krylov first developed the method of Krylov subspace, a widely used numerical method for solving what type of problems?
Answer: Large systems of linear equations
Explanation: Aleksey Nikolaevich Krylov first developed the method of Krylov subspace for solving large systems of linear equations.