How to use algebraic in a sentence

More sentences with algebraic

• The value of an algebraic function at an algebraic number is always an algebraic number.From the entry algebraic function
• Direct limits in the algebraic sense are models of category-theoretic colimits.From the entry direct limit
• He understood geometry well, but algebraic topology was beyond him.From the entry beyond
• This section lists all algebraic notation used in this book.From the entry notation
• Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible.From the entry algebraic topology
• Included in complex geometry are the application of transcendental methods to algebraic geometry, as well as the more geometric aspects of complex analysis.From the entry complex geometry
• The three main branches of algebraic graph theory involve the use of linear algebra, the use of group theory and the study of graph invariants.From the entry algebraic graph theory
• The definition of algebraic structure establishes a framework through which to compare otherwise very different abstract objects, and to study similarities and patterns made apparent by the definition.From the entry algebraic structure
• The Zariski topology allows tools from topology to be used in the study of algebraic varieties, even when the underlying field is not a topological field.From the entry Zariski topology
• The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.From the entry algebraic number field
• The study of toric varieties is a wonderful part of algebraic geometry.2024, David A. Cox, John B. Little, Henry K. Schenck, Toric Varieties, American Mathematical Society, →ISBN. From the entry toric
• Thus, even a set equipped with a relation, as described in Section 2.4, is an algebraic structure.2019, Palash B. Pal, A Physicist's Introduction to Algebraic Structures, Cambridge University Press, page 37. From the entry algebraic structure
• This allows to develop the category of algebraic varieties with the usual constructions therein.2014, Herwig Hauser, “Blowups and Resolution”, in David Ellwood, Herwig Hauser, Shigefumi Mori, Josef Schicho, editors, The Resolution of…. From the entry algebraic variety
• Remedying and measuring its failure is the starting point of algebraic number theory.2013, Mak Trifković, Algebraic Theory of Quadratic Numbers, Springer, page v. From the entry algebraic number theory
• This chapter gives a rigorous development of the algebraic properties of formal power series.2011, Nicholas Loehr, Bijective Combinatorics, Taylor & Francis (CRC Press), page 243. From the entry formal power series
• It lies at the intersection between classical algebraic geometry and number theory.2010, Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta, Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School…. From the entry arithmetic geometry
• We present a brief review of classical experimental design in the spirit of algebraic statistics.2010, G. Pistone, E. Riccomagno, M. P. Rogantin, “5: Methods in Algebraic Statistics for the Design of Experiments”, in Luc Pronzato…. From the entry algebraic statistics
• The field of mathematics that these generalize to is known as algebraic number theory.2008, Steven H. Weintraub, Factorization: Unique and Otherwise, CRC Press, page 143. From the entry algebraic number theory
• From now on, by a variety is meant an algebraic variety.2005, Giovanni Giachetta, Luigi Mangiarotti, Gennadi Sardanashvili, Geometric and Algebraic Topological Methods in Quantum Mechanics…. From the entry algebraic variety
• But this contradicts the previous equation, so n cannot be algebraic.2004, A. K. Dewdney, Beyond reason: eight great problems that reveal the limits of science, John Wiley & Sons Inc, →ISBN. From the entry Weierstrass-Lindemann theorem
• Algebraic cycles are typically studied by imposing one of several equivalence relations.1999, E. M. Friedlander, “Lecture VII. Beilinson's vision”, in H. Bass, A. O. Kuku, C. Pedrini, editors, Algebraic K-theory And Its…. From the entry algebraic K-theory
• The equivalence relation most relevant for algebraic K-theory is rational equivalence.1999, E. M. Friedlander, “Lecture VII. Beilinson's vision”, in H. Bass, A. O. Kuku, C. Pedrini, editors, Algebraic K-theory And Its…. From the entry algebraic K-theory
• Algebraic methods are especially effective in treating graphs which are regular and symmetric.1997, Fan R. K. Chung, Spectral Graph Theory, American Mathematical Society, page 1. From the entry graph
• A primary ideal has a prime ideal as radical, so its corresponding algebraic set is irreducible.1997, Ralf Fröberg, An Introduction to Gröbner Bases, John Wiley & Sons, page 71. From the entry primary ideal
• Let E and F be two vector bundles on a compact algebraic set X.1995, Mauro Beltrametti, Andrew John Sommese, The Adjunction Theory of Complex Projective Varieties, Walter de Gruyter, page 8. From the entry vector bundle
• It is important to note that we have not assumed an algebraic poset is a cpo.1992, Stephen D. Brookes et al., editors, Mathematical Foundations of Programming Semantics: 7th International Conference, Proceedings…. From the entry algebraic poset
• Algebraic subgroups defined over k (as algebraic subvarieties) are called k-subgroups.1991, Gregori A. Margulis, Discrete Subgroups of Semisimple Lie Groups, Springer-Verlag, page 13. From the entry subgroup
• The algebraic integers in an algebraic number field k form a ring R.1984, Alan Baker, A Concise Introduction to the Theory of Numbers, Cambridge University Press, page 62. From the entry algebraic integer
• The last section introduces elementary algebraic graph theory which is then applied to electrical networks.1979, Béla Bollobás, Graph Theory: An Introductory Course, Springer, page 26. From the entry algebraic graph theory
• Functions which do not satisfy any algebraic differential equation are called hypertranscendent.1956, The Journal of the Indian Mathematical Society, Volumes 20-22, Indian Mathematical Society, page 207. From the entry hypertranscendent
• Toric varieties also have unexpected applications in areas as diverse as physics, coding theory, algebraic statistics, and geometric modeling.2024, David A. Cox, John B. Little, Henry K. Schenck, Toric Varieties, American Mathematical Society, →ISBN. From the entry toric
• We also obtain epimorphicity criteria for subgroups of affine algebraic groups, which generalize a result of Bien and Borel..2016, Michel Brion, “Epimorphic subgroups of algebraic groups”, in arXiv. From the entry epimorphicity
• We also give characterizations of continuous posheaves and completely distributive posheaves, and show that an algebraic completely distributive posheaf is spatial..2015, Wei He, “Partially Ordered Sheaves on a Locale. I (II)”, in arXiv. From the entry posheaves
• We also give characterizations of continuous posheaves and completely distributive posheaves, and show that an algebraic completely distributive posheaf is spatial.2015, Wei He, “Partially Ordered Sheaves on a Locale. I (II)”, in arXiv. From the entry posheaf
• In this note we consider the problem of integrality of Zariski decompositions for pseudoeffective integral divisors on algebraic surfaces.2015, Brian Harbourne, Piotr Pokora, Halszka Tutaj-Gasińska, “On integral Zariski decompositions of pseudoeffective divisors on algebraic…. From the entry pseudoeffective
• In algebraic geometry, the tropical equilibration problem is tantamount to finding tropical prevarieties, that are finite intersections of tropical hypersurfaces.2015, Satya Swarup Samal, Dima Grigoriev, Holger Fröhlich, Ovidiu Radulescu, “Analysis of Reaction Network Systems Using Tropical…. From the entry prevarieties
• Many times a simple algebraic manipulation will put a limit into a form that we can study using l’Hôpital’s Rule.2006, Brian E. Blank, Steven George Krantz, “Applications of the Derivative”, in Calculus: Single Variable, Key College Publishing, →ISBN…. From the entry L'Hôpital's Rule
• In mathematics, automorphisms of algebraic structures play an important role.2005, Maninda Agrawal, Nitin Saxena, “Automorpisms of Finite Rings and Applications to Complexity of Problems”, in Volker Diekert, Bruno…. From the entry automorphism
• In this section we will apply the concept of connectedness in dimension d to study tangencies of algebraic varieties.1999, H. Flenner, L. O′Carroll, W. Vogel, Joins and Intersections, page 131. From the entry tangency
• For toposes were invented by Grothendieck in the sixties for specific purposes in algebraic geometry and algebraic topology.1998, Jean-Pierre Marquis, “Book Review: Colin McLarty. Elementary Categories, Elementary Toposes.”, in Notre Dame Journal of Formal…. From the entry axiomatize

Meaning of algebraic

1. adjective Of, or relating to, algebra.
2. adjective Containing only numbers, letters, and arithmetic operators.
3. adjective Which is a root of some polynomial whose coefficients are rational.

Full definition of algebraic

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Questions about algebraic in a sentence

How do you use algebraic in a sentence?

Algebraic is used as an adjective. For example: “The value of an algebraic function at an algebraic number is always an algebraic number.”

What is a short sentence with algebraic?

“He understood geometry well, but algebraic topology was beyond him.”

What does algebraic mean?

Algebraic means of, or relating to, algebra.