Expressions - Collocations of the word " algebraic "
| abstract algebraic | 1) This led to modern abstract algebraic notions, such as Euclidean domains. 2) They vary in the amount of abstract algebraic notions required to understand the proof. more abstract algebraic sentences |
| affine algebraic | 1) Thus it is an affine algebraic variety. 2) An irreducible affine algebraic set is also called an affine variety. more affine algebraic sentences |
| algebraic | 1) This method is actually more complex but provides more algebraic detail. 2) A computer algebra system focusing mainly on algebraic number theory. more algebraic sentences |
| algebraic closure | 1) The overline denotes the operation of algebraic closure . 2) In general, all algebraic closures of a field are isomorphic. more algebraic closure sentences |
| algebraic curve | 1) A hyperelliptic curve is a particular kind of algebraic curve . 2) algebraic curves are the curves considered in algebraic geometry. more algebraic curve sentences |
| algebraic data type | 1) Some systems also support subtyping of labeled disjoint union types (such as algebraic data types ). 2) An eval function is possible with static typing, but requires advanced uses of algebraic data types . more algebraic data type sentences |
| algebraic element | 1) Rather, one uses only a single type of object, the algebraic element . 2) The minimal polynomial of an algebraic element records the simplest algebraic relation satisfied by that element. more algebraic element sentences |
| algebraic equation | 1) This is a graph of an algebraic equation . 2) Resistive networks are represented by a system of simultaneous algebraic equations . more algebraic equation sentences |
| algebraic expression | 1) The shorthand sentence is called an algebraic expression . 2) Write the following sentences as algebraic expressions . more algebraic expression sentences |
| algebraic extension | 1) Separable extensions occur quite naturally within arbitrary algebraic field extensions . 2) It follows __FORMULA__ is an algebraic field extension of __FORMULA__. more algebraic extension sentences |
| algebraic formula | 1) An algebraic formula for this computation is provided in the Form 1041 instructions. 2) The calculation is complex and its result cannot be represented in an exact algebraic formula . more algebraic formula sentences |
| algebraic function | 1) Up to birational equivalence, these are categorically equivalent to algebraic function fields. 2) algebraic manifolds can be defined as the zero set of a finite collection of analytic algebraic functions . more algebraic function sentences |
| algebraic geometry | 1) The dominance is used in algebraic geometry . 2) Further branches crucially applying groups include algebraic geometry and number theory. more algebraic geometry sentences |
| algebraic identity | 1) Major theorems of projective geometry are reduced to algebraic identities which apply as well to metrical geometry. 2) Although these expansions can generally be described as algebraic identities , the methods used by the Egyptians may not correspond directly to these identities. more algebraic identity sentences |
| algebraic integer | 1) The set of all algebraic integers forms a ring. 2) The integral closure is nothing else than the ring __FORMULA__ of all algebraic integers . more algebraic integer sentences |
| algebraic language | 1) REDUCE2, an algebraic language implemented in LISP. 2) ALGOL 58 - originally proposed to be called IAL (for International algebraic language ). more algebraic language sentences |
| algebraic manipulation | 1) It is much easier to perform algebraic manipulation on inequalities in this form. 2) These equations are useful in reducing proofs about adjoint functors to algebraic manipulations . more algebraic manipulation sentences |
| algebraic multiplicity | 1) Note that each eigenvalue is raised to the power ni , the algebraic multiplicity . 2) The integer n i is termed the algebraic multiplicity of eigenvalue λ i . more algebraic multiplicity sentences |
| algebraic notation | 1) The players order the pieces to move using algebraic chess notation . 2) It is similar to algebraic notation for Western chess. more algebraic notation sentences |
| algebraic number | 1) A computer algebra system focusing mainly on algebraic number theory. 2) Another notion needed to define algebraic number fields is vector spaces. more algebraic number sentences |
| algebraic number field | 1) Another notion needed to define algebraic number fields is vector spaces. 2) algebraic number theory studies algebraic number fields . more algebraic number field sentences |
| algebraic number theory | 1) A computer algebra system focusing mainly on algebraic number theory . 2) This spirit is adopted in algebraic number theory . more algebraic number theory sentences |
| algebraic numbers | 1) The complement of the algebraic numbers are the transcendental numbers. 2) The A* -numbers are the algebraic numbers . more algebraic numbers sentences |
| algebraic operation | 1) Most of statistical data processing involves algebraic operations on the dataset. 2) Logical operators describe the relational algebraic operation used to process a statement. more algebraic operation sentences |
| algebraic set | 1) An irreducible algebraic set is also called a variety . 2) The definition of the regular maps apply also to algebraic sets . more algebraic set sentences |
| algebraic structure | 1) algebraic structures occur as both discrete examples and continuous examples. 2) The axioms imposed above resemble the ones familiar from other algebraic structures . more algebraic structure sentences |
| algebraic sum | 1) If we connect the loops then the total induced voltage will be the algebraic sum of the individual voltages. 2) This signal's modulation in algebraic sum and difference with the Main channel was used for 2 channel stereo listener compatibility. more algebraic sum sentences |
| algebraic topology | 1) They are used in algebraic number theory and algebraic topology . 2) Finally a general version was found in algebraic topology , too. more algebraic topology sentences |
| algebraic variety | 1) To any irreducible algebraic variety is associated its function field. 2) In this section, all algebraic varieties are complex algebraic varieties. more algebraic variety sentences |
| complex algebraic | 1) In this section, all algebraic varieties are complex algebraic varieties. 2) It is analogous to the included concept of real or complex algebraic variety. more complex algebraic sentences |
| international algebraic language | 1) ALGOL 58 - originally proposed to be called IAL (for international algebraic language ). 2) Developed in 1959 at the University of Michigan by Bernard Galler, Bruce Arden and Robert M. Graham, MAD is a variant of the international algebraic language (IAL). more international algebraic language sentences |
| linear algebraic | 1) Important examples are linear algebraic groups over finite fields. 2) In fact, the unitary group is a linear algebraic group. more linear algebraic sentences |
| projective algebraic | 1) projective algebraic manifolds are an equivalent definition for projective varieties. 2) The projective varieties are the projective algebraic sets whose defining ideal is prime. more projective algebraic sentences |
| purely algebraic | 1) Lie algebras can then be studied using purely algebraic tools. 2) Section I. Geometric Algebra Section I is concerned with purely algebraic matters. more purely algebraic sentences |
| real algebraic | 1) Roth's theorem says that irrational real algebraic numbers have measure of irrationality 1. 2) Critical points are fundamental for studying the topology of manifolds and real algebraic varieties. more real algebraic sentences |
| simple algebraic | 1) AES has a fairly simple algebraic description. 2) In such cases the optimal solution can be determined with simple algebraic operations. more simple algebraic sentences |
Expressions with the word algebraic
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