How To Use Algebra In A Sentence

It was like an algebra problem. Writers in Hollywood, 1915-51
It is time to take a look at this most outstanding work on algebra in Greek mathematics.
Baker, while on a visit to Göttingen, was inspired by Klein to study algebraic function theory.
_philosopheress_ Madame du Châtelet, who managed, at one and the same moment, the thread of an intrigue, her cards at piquet, and a calculation in algebra, was a very clever woman! Characteristics of Women Moral, Poetical, and Historical
Some indeed were revelling in the formulae of algebraical infinity and of twenty-four-dimensional space, like a child in the elementary class dealing with the four rules of arithmetic.

The boy solves his problem in algebra, finding out the unknown quantity by those values which are given him; and can we not also infer something of the _unknown_ from the great panorama that passes unceasingly before us? The Life and Genius of Nathaniel Hawthorne
According to Huntington (1933), the term “Boolean algebra” was introduced by Sheffer (1913) in the paper where he showed that one could give a five-equation axiomatization of Boolean algebra using the single fundamental operation of joint exclusion, now known as the Sheffer stroke. The Algebra of Logic Tradition
Mathematicians had regarded algebraic numbers as, in some sense, simpler than transcendental numbers.
Slowly Caroline turned more and more towards helping William with his astronomical activities while he continued to teach her algebra, geometry and trigonometry.
He also focuses on using geometric algebra to solve problems in graph theory.
In 1923 he published important work on real and complex algebras of low dimension.
Japanese soldiers shouldering their weapons were standing guard in even-numbered ranks outside the gate (my grandmother at the time had studied a little algebra).
Article: webmaster@algebra. com: Click on the link to solve this problem: The area of a trangle is 13.5 square meters. Feeds4all documents in category 'SEO'
Since we know that this distance is 260 miles, we can write the following algebraic equation to represent this information.
In algebra the sign x usually denotes an unknown quantity.
Omar Khayyam, known chiefly in Europe as a poet, combined trigonometry and approximation theory to solve algebraic equations using geometry.
His work led to considerable activity in the new area of algebraic combinatorics.
The book contained the elements of geometry and algebra in addition to the calculus.
Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra arising from theory.
By means of this algebraic method of thinking, objects are grasped spatially, in the blink of an eye.
He worked on algebra and graph theory, combining the two to produce his first outstanding contribution to matroid theory.
The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
You dragged yourself to school, your mind seething with half-digested algebraic formulas. ABOUT THE AUTHOR
Putting those proportionalities together algebraically allows you deduce a relationship between speed and the number of rowers.
I also in this term wrote a MS. on the Calculus of Variations, and one on Wood's Algebra, 2nd and 4th parts. Autobiography
This includes many surprising analogues to results in commutative algebra theory, such as the Serre splitting theorem on the existence of free summands and the theorem of Bass on the cancellation of free summands.
However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory.
He wrote several books on arithmetic, algebra, geometry and astronomy.
He wrote several books on arithmetic, algebra, geometry and astronomy.
They made plans to write a joint paper on splitting fields of division algebras, which was to contain an example showing that the degree of a minimal splitting field can be arbitrarily large.
Vallée Poussin also worked on approximation to functions by algebraic and trigonometric polynomials from 1908 to 1918.
All the existing Methods : Utilize quaternion algebra to iteratively compute M - sets'boundaries.
In 1873 he proved an important result on the intersection of two algebraic curves.
I was taught all the regular subjects, algebra and trigonometry, English and classical literature, history and current events.
The underlying assumption of the project is that certain computer-based experiences can help pupils bridge the gap between arithmetical and algebraic thinking.
Vedic mathematics, which simplifies arithmetic and algebraic operations, has increasingly found acceptance the world over.
'catenary,' a line very simple in shape, but endowed with an algebraic symbol that has to resort to a kind of cabalistic number at variance with any sort of numeration, so much so that the unit refuses to express it, however much we subdivide the unit. The Life of the Spider
One or two talked about their grandfathers' textbooks, full of algebra and Latin.
Dickson worked on finite fields and extended the theory of linear associative algebras initiated by Wedderburn and Cartan.
In real life, I assure you, there is no such thing as algebra. Fran Lebowitz
In 1849 he published Trigonometry and double algebra in which he gave a geometric interpretation of complex numbers.
In real life, I assure you, there is no such thing as algebra. Fran Lebowitz
We learn how the dynamics of addition and subtraction are linked to multiplication and division, and eventually to theorems of algebra.
This ‘index theorem’ had antecedents in algebraic geometry and led to important new links between differential geometry, topology and analysis.
In 1952 Nash published Real Algebraic Manifolds in the Annals of Mathematics.
His research interests include topology, algebraic geometry, and Lie theory.
It takes neither differential equation nor Laplace transformation. Instead , some algebraic Methods: Will do.
His texts include books on algebra, mechanics, geometry and analysis.
But taking that route causes problems later on, because the intermediate course fails to cover much basic algebra and geometry, of which the A-level course assumes knowledge.
It is hoped the move will ensure that they are ready for algebra and more complex arithmetic at secondary school. Times, Sunday Times
We mainly consider completely monotone functions from semigroup to operator algebras.
In the days prior to GPS-led apparati that were brought to market in the ancient, early '90s, astro-purists with an interest in locating various objects from within the observable astronomical inventory would have to understand basic algebra as a gateway to leverage a coordinate system (celestrial, equatorial, ecliptical, galactic, etc.). Cool Tools
The mathematical ballistics of 1918 was neither as refined as axiomatic geometry nor as theoretical as algebraic topology.
It is devoted mainly to arithmetic and algebra, with just a few problems on geometry and mensuration.
Algebraic topology is behind network theory which is used, among other things, to route circuits on CPUs. Matthew Yglesias » The Minerva Initiative
Or should they legitimately be applied only to continuous curves susceptible of being expressed by algebraic or transcendental equations?
In 1984 Jones discovered an astonishing relationship between von Neumann algebras and geometric topology.
Paniker not only played upon the abstraction of the words and scripts but also incorporated mathematical formulae, algebraic equations and diagrams of horoscopes.
Tarski made important contributions in many areas of mathematics: set theory, measure theory, topology, geometry, classical and universal algebra, algebraic logic, various branches of formal logic and metamathematics.
On the web, there are pages on counterexamples in functional analysis, Clifford algebras, and mathematical programming.
This does not present the same barrier to pupils use of algebraic ideas within computer programming environments.
Now you must give up both commutativity and associativity, but you still have a “division algebra.” The Volokh Conspiracy » Yow!
The first person known to have solved cubic equations algebraically was del Ferro but he told nobody of his achievement.
Bromwich also made useful contributions to quadratic and bilinear forms and many consider his algebraic work to be his finest.
Courses of instruction listed in the 1846 Catalogue include: Spelling, grammar, arithmetic, geography, uranography, composition, botany, physiology, algebra, natural philosophy, metal and moral science, rhetoric, chemistry, geometry, criticism, history, logic, trigonometry, astronomy, mineralogy, Butler's analogy, and evidences of Christianity.
He clearly was trying to argue against the notions current at the time on using algebra to study geometry.
Al-Khwarizmi continues his study of algebra in Hisab al-jabr w'al-muqabala by examining how the laws of arithmetic extend to an arithmetic for his algebraic objects.
It has proved to be the computational method of choice for symbolic manipulation in algebraic geometry, differential equations, and combinatorics.
Specifically, it's the "quintic," one step up from the dread quadratic equation that gives so many kids fits in algebra. Analyze These!
Comprises topics in algebra, geometry, trigonometry and elementary calculus at higher level.
The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry and spherical trigonometry.
He developed a theory of automorphic functions, connecting algebraic and geometric results in his important 1884 book on the icosahedron.
His work followed that of Kronecker in the development of arithmetic in algebraic number fields.
Each level of expression contributed to the next, and over the course of millennia we created mathematical theory, from basic arithmetic to algebra, from calculus to fractal geometry.
MISCELLANEOUS WORDS. adobe _ado'ba_ algebra not _bra_ alien _alyen_, not _alien_ ameliorate _amelyorate_ antarctic _antarktik_ anti not _anti_ archangel _arkangel_ archbishop _arch_, not _ark_ arch fiend _arch_, not _ark_ architect _arkitect_ awkward _awkward_, not _ard_ Practical Grammar and Composition
His research interests include topology, algebraic geometry, and Lie theory.
It dealt with the sum of integrals of a given algebraic function.
This idea that there is some group of "logical functions" whose repeated application to some other entities yield complex propositions (and relations) is characteristic of what I am calling algebraic approaches. Structured Propositions
If we can detect N = 4 SUSY quaternionic or 16 supersymmetries in the Clifford algebra CL_16, most likely in a broken symmetry phase, we would be in great shape! First Collisions for the LHC | Universe Today
The first person to claim that equations of degree 5 could not be solved algebraically was Ruffini.
Bonnet also published on cartography, algebra, rational mechanics and mathematical physics.
Even though their algebraic forms look different, one can verify that the antiderivatives differ by a piecewise constant: Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus
It is algebra for today's lesson, my worst topic in maths.
Moreover, in these logics the classes of algebras obtained by the two ways of generalizing the Lindenbaum-Tarski method coincide, that is, Propositional Consequence Relations and Algebraic Logic
Sernadas et al. 2002b, other examples of collapse were presented, and a solution to the problem was proposed by means of a controlled notion of algebraic fibring called modulated fibring. Combining Logics
Hence this subalgebra admits a nilpotent BRST operator, and can be viewed as a gauge symmetry. String Theory is Losing the Public Debate
Physics concepts in ninth grade serve first to apply the ninth-grade algebra and second to teach how science works, including such vast syntheses as achieved by the theory of gravitation.
The Mathematics Computation subtest assesses skills in computing with whole numbers, fractions, mixed numbers, decimals, and algebraic equations.
To do this, he advanced the study of differential equations from numbers, formulas, and the manipulation of algebraic equations to geometry, curves, and the visualization of flows.
His arithmetic setting of this result led eventually to the modern abstract theory of algebraic functions.
The algebraic approach to programming language semantics has several features to recommend it.
They thought they could just proceed from there, but things got messy (sorry) as they cut the pizza more times, or, as New Scientist puts it, “the solution still included a complicated set of sums of algebraic series involving tricky powers of trigonometric functions,” summed up more succinctly as “ugly.” The mathematics of pizza slicing
Idempotent operator algebras acting on a Hilbert space H are defined.
Wiseman, "Free Kirk and other rubbish" pitted against "Comtism, ghastliest of algebraic spectralities. Some Diversions of a Man of Letters
His work on algebra was an extension of Abel's work on algebraic functions and their integrals.
Then the embeddings correspond to the algebraic integers in a number field K form a subring denoted by order, this is, a ring which is finitely generated as a Z maximal order of K. Citizendium, the Citizens' Compendium - Recent changes [en]
The study of Boolean algebras has several aspects: structure theory, model theory of Boolean algebras, decidability and undecidability questions for the class of Boolean algebras, and the indicated applications. The Mathematics of Boolean Algebra
Even for propositional logics, models of such systems are usually algebras, e.g., Boolean or Heyting algebras, and as such they are categories.
Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.
His work allowed computations in groups to be replaced by computations in certain polynomial algebras over the field of p elements.
This is an algebraic expression of the disjunctive normal form theorem of sentential logic.
Does Rijndael's algebraic formulation make the algorithm easier to crack than other cryptosystems not designed this way?
He wrote on algebraic integrals of certain differential equations.
The book contained the elements of geometry and algebra in addition to the calculus.
Betti extended and gave proofs relating to the algebraic concepts of Galois theory.
The [[algebraic integer]] s in a number field '' K '' form a subring denoted by '' O '' Citizendium, the Citizens' Compendium - Recent changes [en]
For example, algebraic geometry, the field I am most familiar with, combines algebra, geometry, topology, and analysis.
It was an exciting time with increasing mathematical activity in algebra.
In other work he looked at problems relating properties of algebraic number fields to algebraic K-theory.
Cayley gave a matrix algebra defining addition, multiplication, scalar multiplication and inverses.
I progressed happily through differential equations and linear algebra to upper-level engineering courses on time-series analysis and computer programming.
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
As well as giving point to the subject, experience of algebraic representation is crucial if pupils are to understand and use precise algebraic language.
Cramer taught geometry and mechanics while Calandrini taught algebra and astronomy.
As spinor is a variable which has algebraic properties identical to that of angular momentum or spin. Einstein Still Rules, Says Fermi Telescope Team | Universe Today
A study of primary school pupils suggested some would be good at geometry but not algebra so they needed to practise the weaker subject more. The Sun
Wedderburn made important advances in the theory of rings, algebras and matrix theory.
But why would you pass up free education that could take you places somewhere someday, even though we will never use the algebra theorems ever?
Weil's work on bringing together number theory and algebraic geometry was highly fruitful.
This paper give the mathematical models of general serial-parallel production lines and feedback production lines. The mathematical models are described by linear state equations over max-algebra.
On 4 November 1833 Hamilton read a paper to the Royal Irish Academy expressing complex numbers as algebraic couples, or ordered pairs of real numbers.
They relate Boolean algebras to general topology and to the theory of rings and ideals, and include what is called Stone-tech compactification today.
The minimal path sets (MPS) are achieved by Boolean algebraic simplification calculation. The authors put forward the analyzing result of the structural significance of the basic event.
His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
This theoretical model allows, for example, that relational algebra operations to be replaced by more efficient equivalent operations whereas not interfere with the result.
His omission of a symbol for equality made it impossible to develop an equational algebra of logic. The Algebra of Logic Tradition
His work on computational algebraic number theory seems to have started when he visited Caltec in 1959 and collaborated with Taussky-Todd.
Thus, the spinor formalism and the complex-vector formalism of general relativity are unified on the basis of the unimodular group SL(2C) and its Lie algebra.
König worked on a wide range of topics in algebra, number theory, geometry, set theory, and analysis.
It is based on the concept of indefinite admittance matrix, and uses an algebraic method of symbolic code in the generation of symbolic network functions.
The system of general language called algebraical notation does this. A System Of Logic, Ratiocinative And Inductive
In algebra, the sign X usually denotes an unknown quantity.
From the categorial point of view, the process is the same as for algebraic fibring, the only difference being that the notion of morphism is stronger. Combining Logics
And if we go on in this way, with everybody, intellectuals, artists, government, industrialists and workers all frantically killing off the last human feeling, the last bit of their intuition, the last healthy instinct; if it goes on in algebraical progression, as it is going on: then ta-tah! to the human species! Lady Chatterley's Lover
This work initiates the algebraic theory of operators.
This led to several papers, culminating in a proof twelve years later of a conjecture of Siegel giving an asymptotic relationship satisfied by the class number, the regulator, and the discriminant of an algebraic number field.
He also made very substantial contributions to nonassociative algebras, in particular Lie algebras and Jordan algebras.
From its true emergence, algebra can be seen as a theory of equations solved by means of radicals, and of algebraic calculations on related expressions.
The formal algebraic manipulation of series investigated by Lagrange and Laplace in the 1770s was put in the form of operator equalities by Arbogast in 1800 in Calcul des dérivations.
We take a bialgebra, and we add an "antipode", which behaves sort of like an inverse operation. Feeds4all documents in category 'SEO'
In this article, respectively derive the four-part formulae from geometry, algebra and vector viewpoints and then use it to directly infer formulae of Napier's rule 2 of special spherical triangle.
The whole concept is fuzzy because, unlike so many other things in algebra that have definite formulas that are logical and clean-cut, factoring isn't this way.
He started research in algebra, geometry and topology as a student but did not consider his results sufficiently important to merit publication.
Sumner was informed that a learned mathematician had discovered an algebraical demonstration of the existence of God and would present it before the audience.
The presentation then went through the "binomial" break apart strategy that's supposed to be teaching kids "algebraic principles in 4th grade", the "change it and make it easier problem" using 98 x 15 as an example (ok change it to 100×15 - 2×15 = 1500 - 30 = 1470). Citizen Tom
The STEM topics cover math through a solid precalculus course including basic vector algebra, trigonometry, exponential and logarithmic functions, and advanced understanding of polynomials. The Common Core and the Tech Industry « Steve Wildstrom on Tech
It also meant that Wiles' earlier work in algebraic number theory would be helpful, and that he would probably generate some interesting problems-whether or not he found a proof.
His thesis work combined algebra and combinatorics into the new field of matrix theory.
‘We may say most aptly that the Analytical Engine weaves algebraical patterns just as the Jacquard loom weaves flowers and leaves’ - Lovelace describing the Analytical Engine in the ‘Notes’.
Then he got out note-book and algebra and lost himself in quadratic equations, while the hours slipped by, and the stars dimmed, and the gray of dawn flooded against his window. Chapter 12
At this point the Greeks gave up algebra and turned to geometry.
Refactoring, a process of simplifying code in an almost algebraic way, is guided by rules and leads to a predictable result.
Three century Diophantine one of the outstanding contribution that Greece algebra simplify, simplify algebraic created.
He also published results on algebras which were fundamental in the study of algebraic number fields.
It has allowed major progress in classical areas of algebraic geometry such as invariant theory and the moduli of curves. AvaxHome RSS:
He had been responsible for major advances in the theory of finite dimensional algebras and was the discoverer of modular representation theory.
He also classified real and complex numbers into classes which are algebraically independent.
His classmates were labouring with elementary algebra.
Even his analytical work was guided by algebraic and linear algebraic methods.
He had a distinguished career as a math professor, specializing in algebra, algebraic geometry and number theory.
Although I'm reasonable at mental arithmetic, I mostly think geometrically and then must laboriously check my geometric intuition with algebra.
It was nearing lunchtime on a recent Thursday, and ninth-grader Noah Schnacky of Windermere, Fla., really did not want to go to algebra. My Teacher Is an App
Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers.
One of Weil's major achievements was his proof of the Riemann hypothesis for the congruence zeta functions of algebraic function fields.
His work in algebraic number theory led him to study the quaternions and generalisations such as Clifford algebras.
The expressions were ordered in a random way rather than in blocks of expressions with the same algebraic structure.
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
Bromwich also made useful contributions to quadratic and bilinear forms and many consider his algebraic work to be his finest.
Tarski's cylindric algebras constitute a particular abstract formulation of first order logic in terms of diagonal relations coding equality and substitution relations encoding variables. Algebra
Cardinal Algebras presents a study of algebras satisfying certain properties which capture the arithmetic of cardinal numbers.
Moore wrote the sections on arithmetic, geometry, trigonometry and cosmography while the sections on algebra, Euclid and navigation were written by Perkins.
Allah hath bounteously bestowed on thee a Barber who is an astrologer, one learned in alchemy and white magic; 612 syntax, grammar, and lexicology; the arts of logic, rhetoric and elocution; mathematics, arithmetic and algebra; astronomy, astromancy and geometry; theology, the The Book of The Thousand Nights And A Night
He solved Algebra equations of the first and second degree (known as quadratic equations, and are are prevelant in science and engineering) and also introduced the geometrical method of solving these equations. Documenting Reality
So Pipes, Michelle Malkin, Geller et al should pay attention: The words alcohol, algebra and algorism are all really Arabic. Gershom Gorenberg: Onion Buys ABC News
Computer graphics is, among other things, just what the mathematician needed: an appropriate mechanism for turning algebra into forms.
This is, indeed, what they are, if we take the word algebraic in a loose enough sense. The Life of Reason
When is your chemistry/French/algebra final?
This is part of a very broad-reaching theme in algebraic topology in which functors represented and corepresented by various spaces are used in analyzing geometry and topology.
He is also remembered by those working in algebraic geometry for his discovery of an involution, now named after him.
This work gave an algebraic classification of maps from polyhedra to spheres.
In Undecidable theories Tarski showed that group theory, lattices, abstract projective geometry, closure algebras and others mathematical systems are undecidable.
Neile's parabola was the first algebraic curve to have its arc length calculated; only the arc lengths of transcendental curves such as the cycloid and the logarithmic spiral had been calculated before this.
In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear.
He developed the relation between the algebra of matrices and integral equations as well as studying boundary value problems.
This is being done for a number of key mathematical topics such as decimals, ratio, negative numbers and elementary algebra.
Of course you never know you look like Leonhard Euler until some stogy algebra professor comes up to you when you're an undergraduate and says, “You know, you look just like Leonhard Euler.” Don't Forget the Sun
He replaced the differential operator d/dx by a variable p transforming a differential equation into an algebraic equation.
It dealt with the sum of integrals of a given algebraic function.
His contributions to algebraic symbolism were in using short Arabic words, or just their initial letters, as mathematical symbols.
In [[algebra]], the '' 'continuant' '' of a sequence of terms is an algebraic expression which has applications in [[generalized continued fraction]] s and as the determinant of a Citizendium, the Citizens' Compendium - Recent changes [en]
It is a work which covers arithmetic, algebra and mensuration.
Analogous notions are congruence distributivity and congruence modularity, for which there exist analogous syntactic characterizations of varieties of algebras with these properties. Algebra
We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.
; Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f (2), Re f (3), and Re f (4); and the positivity of the real part of a linear functional on a subspace of C (X). AvaxHome RSS:
The prince had been sitting at the polished mahogany table, practising his algebra after repeated reminders from his tutor.
Omar Khayyam combined the use of trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means.
He restudied and generalised the mathematical theories of Kummer fields and of cyclotomic fields from the standpoint of abelian varieties over algebraic number fields.
Some of the math is quite sophisticated, using differential equations, linear algebra, and covariance matrices.
But the last, justice, at least as between the Infinite and the finite, has been so utterly dehumanized, disintegrated, decomposed, and diabolized in passing through the minds of the half-civilized banditti who have peopled and unpeopled the world for some scores of generations, that it has become a mere algebraic x, and has no fixed value whatever as Complete Project Gutenberg Oliver Wendell Holmes, Sr. Works
He has two types of algebra, arithmetical algebra and symbolic algebra.

How To Use Algebra In A Sentence

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