Examples of using Complexity theory in English and their translations into Russian
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Efficient algorithms and complexity theory.
Yuri Petrovich Ofman(Russian: Ю́рий Петро́вич Офман, born 1939) is a Russian mathematician who works in computational complexity theory.
It is often used in computational complexity theory as a starting point for NP-hardness proofs.
His primary area of research is quantum computing and computational complexity theory.
Her research focuses on computational complexity theory, DNA computing, and bioinformatics.
For that reason, constant terms tend to be disregarded in Kolmogorov complexity theory.
His current research interests include complexity theory(especially agent-based modeling), international security, and cyber security.
The subset sum problem is an important decision problem in complexity theory and cryptography.
In computational complexity theory, a transcomputational problem is a problem that requires processing of more than 1093 bits of information.
The concept of polynomial time leads to several complexity classes in computational complexity theory.
Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems.
In complexity theory, PP is the class of decision problems solvable by a probabilistic Turing machine in polynomial time, with an error probability of less than 1/2 for all instances.
He teaches graduate level courses on high-performance computing, on computational complexity theory, on complex networks and on quantum computing.
His work on complexity theory in urban analysis and planning is the focus of his book Cities and Complexity, a summary of which is available on his ComplexCity web site.
He became fellow of the U.S. National Academy of Engineering for contributions to complexity theory, database theory, and combinatorial optimization.
In computational complexity theory, QMA, which stands for Quantum Merlin Arthur, is the quantum analog of the nonprobabilistic complexity class NP or the probabilistic complexity class MA.
This proof, published by Gabriel Lamé in 1844,represents the beginning of computational complexity theory, and also the first practical application of the Fibonacci numbers.
In computational complexity theory, the polynomial hierarchy(sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes P, NP and co-NP to oracle machines.
This area, along with mathematical statistics, optimization,information theory, complexity theory, etc., is a field where mathematics and computer science intersect.
Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particular,computational geometry and computational complexity theory.
His research focuses on computational complexity theory, algorithms, combinatorics, and finite groups, with an emphasis on the interactions between these fields.
Combinatorial optimization is a subset of mathematical optimization that is related to operations research, algorithm theory, and computational complexity theory.
The second question is addressed by computational complexity theory, which studies the time and space costs associated with different approaches to solving a multitude of computational problems.
Problems for which a deterministic polynomial time algorithm exists belong tothe complexity class P, which is central in the field of computational complexity theory.
It has been described by Ingo Wegener as"the most important result in complexity theory since Cook's theorem" and by Oded Goldreich as"a culmination of a sequence of impressive works rich in innovative ideas.
Similarly, she says, the new paper“could be an important step toward proving the quantum analogue of the PCP theorem,which is a major open question in quantum complexity theory.”.
Expander constructions have spawned research in pure andapplied mathematics, with several applications to complexity theory, design of robust computer networks, and the theory of error-correcting codes.
There are also substantial connections with complexity theory, mathematical logic, the study of Lie Groups and their discrete subgroups, dynamical systems, probability theory, K-theory, and other areas of mathematics.
Critiquing Descartes' reductionistic view that everything can be studied in parts to understand the whole, he allows his readers to take an objective and fresh mind,encouraging them to see the world through complexity theory.
Yannakakis is known for his contributions to computer science in the areas of computational complexity theory, database theory, computer aided verification and testing, and algorithmic graph theory. .