How to use algebra in a sentence

Looking for sentences and phrases with the word algebra? Here are some examples.

Sentence Examples The cross hairs impose a sly menace on the land, the small dots of calibration turn a life into an algebra problem. For example, algebraic geometry, the field I am most familiar with, combines algebra, geometry, topology, and analysis. The mathematics curriculum grew accordingly to include algebra, trigonometry, and sometimes even Newton's fluxional calculus. In particular, she has attempted to reconcile poetry with set theory, a special branch of algebra. Hermite made important contributions to number theory and algebra, orthogonal polynomials, and elliptic functions. One or two talked about their grandfathers' textbooks, full of algebra and Latin. We learn how the dynamics of addition and subtraction are linked to multiplication and division, and eventually to theorems of algebra. The prince had been sitting at the polished mahogany table, practising his algebra after repeated reminders from his tutor. 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? In this work he coined the now familiar term topological algebra but the thesis is memorable in other ways too. Since geometry follows algebra in the sequence, I guess the issue is when students are developmentally ready for algebra. Bonnet also published on cartography, algebra, rational mechanics and mathematical physics. However he also worked on differential equations, matrices and other topics in algebra, continued fractions, geometry and number theory. Cramer taught geometry and mechanics while Calandrini taught algebra and astronomy. When the ideas have borne their full fruit, algebra will appear like a sectional model of the whole form of thought. Until you understand the basics of functions and algebra, the thought that a number can be predicted is a surprising one. From 1852 to 1858 he taught algebra and geometry, while from 1860 to 1862 he taught differential and integral calculus. His work on algebra was an extension of Abel's work on algebraic functions and their integrals. He developed the relation between the algebra of matrices and integral equations as well as studying boundary value problems. Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. Show More Sentences His thesis work combined algebra and combinatorics into the new field of matrix theory. His early works range over number theory, statistics, combinatorics, game theory, as well as his principal interest of commutative algebra. The Lie algebra as a vector space can be identified with the tangent space at the identity element of the group. Homomorphic mappings of rings into fields are very common in commutative algebra and in its applications. Kaluznin also worked in the area of geometrical algebra, particularly on arrangements of subspaces in Euclidean and unitary spaces. The Greeks did not think of the problem as a problem in algebra but rather as a problem in geometry. I was taught all the regular subjects, algebra and trigonometry, English and classical literature, history and current events. He considered computation with irrational numbers and polynomials to be part of algebra. There he taught courses on advanced algebra, the calculus of variations, mechanics, Fourier series, and synthetic geometry. Aitken's mathematical work was in statistics, numerical analysis, and algebra. Other areas he wrote on included algebra, geometry, mathematical and numerical analysis, probability theory and mathematical statistics. However he was able to pursue his mathematical interests and studied algebra and number theory in addition to philosophy. The maths syllabus covers algebra, shape and space, mental arithmetic, handling data and measures. However, stuffing algebra down the throats of unmotivated students will dry out any seeds of potential interest in the subject. In his talk Steinitz introduced an algebra over the ring of integers whose base elements are isomorphism classes of finite abelian groups. Another general algebraic notion which applies to Boolean algebras is the notion of a free algebra. It began the algebra of logic called Boolean algebra which now finds application in computer construction, switching circuits etc. In complex number algebra, rationalization is the equivalent of the simplification of fractions in ordinary algebra. In a very natural way, concepts of linear algebra, including eigenvalues and eigenvectors, appear. The book contained the elements of geometry and algebra in addition to the calculus. Show More Sentences They are the basis of mathematical logic, which in turn gives rise to Boolean algebra. The mathematical topics that Delone studied include algebra, the geometry of numbers. He worked on algebra and graph theory, combining the two to produce his first outstanding contribution to matroid theory. He had a distinguished career as a math professor, specializing in algebra, algebraic geometry and number theory. Suffice it to say that the headaches of algebra, Pythagoras' theorem, and geometry didn't tickle his fancy. In short, his interest in classical algebra and number theory brought him to abstract semigroups. Among his many mathematical achievements can be included profound discoveries in logic, algebra and differential equations. It is devoted mainly to arithmetic and algebra, with just a few problems on geometry and mensuration. He clearly was trying to argue against the notions current at the time on using algebra to study geometry. Mill only deals with geometry, arithmetic, and some algebra, not the branches of higher mathematics. Wall's research is mostly in the area of geometric topology and related algebra. Pierre went on to study the latest mathematics, in particular studying algebra and geometry. He failed in his application for the chair of algebra and number theory at Uppsala University. We have looked briefly at Zorn's contributions to algebra and to set theory. It is time to take a look at this most outstanding work on algebra in Greek mathematics. I do not doubt that this is the most important work on general algebra that the Annalen has ever published. Malcev also studied Lie groups and topological algebras, producing a synthesis of algebra and mathematical logic. According to Rotman, the justification of homological algebra is that it eventually proved useful in solving purely algebraic problems. Few algebraists seriously think about writing the great American comprehensive algebra text. He continued his work showing how Boolean algebra could be used to synthesise and simplify relay switching circuits. Show More Sentences Low-income students who took algebra and geometry were almost three times as likely to attend college as those who did not. In algebra, the problem of finding least common multiples of denominators is similar. He did this in particular with submarine attack and navigation, employing Boolean algebra. In addition, you may need probability theory and statistics, linear algebra, numerical methods and the like depending on the field you choose. Indeed, today, all computers are based on Boolean algebra, another example that mathematics is often a hundred years ahead of its time. Cayley gave a matrix algebra defining addition, multiplication, scalar multiplication and inverses. For my Ph.D. 1 was required to study analysis, algebra, and algebraic topology. He also focuses on using geometric algebra to solve problems in graph theory. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry and spherical trigonometry. In 1849 he published Trigonometry and double algebra in which he gave a geometric interpretation of complex numbers. Although I'm reasonable at mental arithmetic, I mostly think geometrically and then must laboriously check my geometric intuition with algebra. He wrote textbooks on arithmetic, algebra and geometry with the aim of including only theorems which could be applied to the crafts. This book is ideally suited for a two-term undergraduate algebra course culminating in a discussion on Galois theory. Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry. He started research in algebra, geometry and topology as a student but did not consider his results sufficiently important to merit publication. It discusses topics such as geometry, geography and algebra with applications to the longitudes of the planets. You know, algebra was a royal pain, literature was kind of boring, world history was alright. I took a couple of deep breaths, preparing myself for yet another day at Green County High, and then took off for my Algebra class. The arc of Hathahate is like one of those U-ish parabolas from algebra class. To make the algebra work, each day had to have been twenty-two hours in length. Show More Sentences 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. Whether convening meetings between scientists and sociologists or converting calculus to algebra, he brings his own agility to medical problem-solving. He wrote several books on arithmetic, algebra, geometry and astronomy. It was an exciting time with increasing mathematical activity in algebra. In fact, of course, the Arabs' contributions to the world have been crucial, from algebra to the lateen sail, from Sufi spirituality to key discoveries in astronomy. It is a work which covers arithmetic, algebra and mensuration. Lessons included learning arithmetic, geometry and algebra and prior to Nightingale entered nursing, she spent time tutoring children in these subjects. 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. He has two types of algebra, arithmetical algebra and symbolic algebra. 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. In 1904 he gave axioms for a boolean algebra then later, in 1933, he showed that a boolean algebra could be defined in terms of a single binary and a single unary operation. He's far too busy sewing the sequins on the little one's concert outfit, helping Timmy with his algebra, and talking through the birds and the bees to a pre-pubescent Melanie. As an example, consider the AND function from Boolean algebra. His texts include books on algebra, mechanics, geometry and analysis. Moore wrote the sections on arithmetic, geometry, trigonometry and cosmography while the sections on algebra, Euclid and navigation were written by Perkins. Slowly Caroline turned more and more towards helping William with his astronomical activities while he continued to teach her algebra, geometry and trigonometry. In 1904 he gave axioms for a Boolean algebra, then later, in 1933, he showed that a Boolean algebra could be defined in terms of a single binary and a single unary operation. It was based on using Boolean algebra with computer circuitry. Nevertheless, it was required, and at least it was more fun than studying algebra or photosynthesis. Bernoulli greatly advanced algebra, the infinitesimal calculus, the calculus of variations, mechanics, the theory of series, and the theory of probability. Show More Sentences 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. After giving some simple examples we show that the set consisting of the four-element Boolean algebra and the four-element fork is incomparably continuable. In the nineteenth century there was a movement, of which Steiner was a principal exponent, to keep geometry pure and ward off the depredations of algebra. At this point the Greeks gave up algebra and turned to geometry. Around this time Menger's interests in mathematics broadened and he began to work on hyperbolic geometry, probabilistic geometry and the algebra of functions. At the time when these papers were written he had received no instruction in mathematics beyond a few books of Euclid and the merest elements of algebra. In logic, De Morgan's laws, named for nineteenth century logician and mathematician Augustus De Morgan, are two powerful rules of Boolean algebra and set theory. I flipped open my Algebra book and glanced at the chapter we were supposed to read and do the exercises from. Though it is worth to notice that numerology itself stays very close to algebra and number theory of mathematics. In Algebra II the next day, Jason was his usual cheerful self. Using cocommutativity of the Hopf algebra of symmetric functions, certain skew Schur functions are proved to be equal. Tropical curve counting is related to an algebra of operators on the Fock space by means of bosonification. Corollary 5 implies that the antipode of a graded connected Hopf algebra is diagonalizable if and only if it is an involution. The result is a monoid on binary search trees with multiplicities leading to a Hopf algebra on binary trees with multiplicities. We extend to the category of crossed modules of Leibniz algebras the notion of biderivation via the action of a Leibniz algebra. Students navigate around obstacles to learn about math facts, algebra, number sense and rational numbers. As a young man, he traveled to North Africa and learned Hindu-Arabic numerals and al-jabr, the basis of modern algebra. He assumes students are familiar with homological algebra, algebraic topology based on different forms, and de Rham cohomology. I took 6-month courses in precalculus, algebra, English, chemistry, and biology at Kirkwood Community College. We develop here the algebra of the differential field of transseries and of related valued differential fields. Show More Sentences As the Fundamental Theorem of Algebra clearly indicates, the complex plane rather than the real line is the proper place for the study of polynomials. What did those darned Muslims give us other than grammar and algebra? I hope that each student will have learned thons algebra lesson perfectly this morning. Daily reinfection is needed or the disease goes dormant like algebra. Idempotent analysis, tropical algebra, and tropical geometry are the building blocks of tropical mathematics. It then explores the use of symbols and algebra, the concepts of rational and irrational numbers, and how numbers are represented geometrically. Ultimately, the abstract parallels between algebraic systems were seen to be more important than the details and modern algebra was born. The development of abstract algebra brought with itself group theory, rings, fields, and Galois theory. Advances in polynomial algebra were made by mathematicians during the Yuan era. Boyle's lab equipment allowed the use of algebra to obtain his analytical results. Other formalisms include the geometric algebra formulation and a matrix representation of Maxwell's equations. Maxwell used the recently developed Linear algebra to prove Young's theory. Maxwell expressed electromagnetism in the algebra of quaternions and made the electromagnetic potential the centrepiece of his theory. Economists draw on the tools of calculus, linear algebra, statistics, game theory, and computer science. This is more abstract than many of the processes studied in elementary algebra, where functions usually input a number and output another number. In addition to his work on algebra, Cayley made fundamental contributions to algebraic geometry. As is well known, in finite dimensions each Lie group is, at least locally near the identity, completely described by its Lie algebra. He also proved that circuits with relays could solve Boolean algebra problems. His work was a beginning to the algebra of sets, again not a concept available to Boole as a familiar model. He studied algebra in the form of symbolic methods, as far as these were understood at the time, and began to publish research papers. Show More Sentences She gives a useful example related to algebra and the factoring of trinomials. Coverage includes such topics as multivectors, spinor theory, space-time algebra, and quantum gravity. Nilpotence As in classical linear algebra, a matrix of combinatorial classes is nilpotent if one of its powers is empty. His topics include number systems, Boolean algebra and logic, integrated logic, combinational logic, and synchronous sequential logic. Students are assumed to have solid algebra skills for solving simple equations and a working knowledge of the Cartesian coordinate system. Readers should have a background in number theory, commutative algebra, and the general theory of schemes. Topics covered include coding theory, cryptology, combinatorics, finite geometry, algebra, and number theory. This account of algebra and quadratic and cubic equations is considered perhaps his most important contribution to mathematics. Vector algebra was our chapter in 12th class it's fully integrating with the game. In linear algebra, an ordered pair of numbers typically represents a vector, which in the present setting of coordinates can be taken to mean a change in location. George Boole was a legendary mathematician who was responsible for creating Boolean Algebra. Trench, Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry, Linear Algebra Appl. Before he could even begin to understand introductory algebra, he had to re-learn the fractions that he and Teddy and Vern had played pocket-pool through in the fifth grade. Chapters cover Cartesian products, more classical products such as Hamiltonian graphs, invariants, Algebra and other topics. Section 3 studies the Stanley-Reisner ring of the Boolean algebra. Osborne derives series to arbitrary order by using the computer algebra package Maxima and expresses the coefficients in terms of both eccentricity and flattening. The next few sections discuss broad categories of operations, including statistics, risk assessment, Boolean algebra, and types of calculations for economics and engineering. This applies to analogous structures such as hypergroups, hyperfields, and hypermodules, and permits us to transfer the general theory from universal algebra. He assumes some familiarity with set theory, algebra, and topology. The linear independence of this new basis is easily proved using our theorem involving Hopf algebra calculus, while we have not been able to find an elementary proof of it. Show More Sentences George Boole authored The Laws of Thought which contains Boolean algebra. An introduction to the rational number system is taught very early in the elementary algebra curriculum, expanding the concept of the common fraction. It assumes knowledge of basic algebra terminology and methods and experiences in factoring second-degree polynomials, concepts of analytic geometry, and functional notation. Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too. The students dutifully worked through two pages of algebra problems. Foster, The idempotent elements of a commutative ring form a Boolean Algebra, Duke math. At the age of eight, Mill began studying Latin, the works of Euclid, and algebra, and was appointed schoolmaster to the younger children of the family. The general way to include spinors in spacetime is to use a nonholonomic tetrad structure and keep the algebra the same in each such defined space. The Boolean query is based on concepts from logic, or Boolean algebra. Maths was highlighted as a strength with some pupils in year six tackling simultaneous equations, an algebra challenge normally kept for secondary school. He has also done work in algebra, particularly with quaternions. A standard topic in a College Algebra course is to find the coordinates of the midpoint of a line segment connecting two points. The calculus preview in each chapter focuses on a single calculus concept, such as algebra and limits, the are problem and the hyperbolic functions. We extend the results in the context of complex semisimple Lie algebra. Students should be comfortable with at least one-variable calculus, vector algebra in the plane, mathematical induction, and elementary set theory. Many secondary mathematics teachers find it a challenge to teach factorisation of quadratic expressions to students who have weak foundations in algebra. There were other questions too, but unlike the algebra tests of yore, the fibro checklist was full of very certain ticks, confirmed by an excruciating physical. Boolean algebra is named after him, as is the crater Boole on the Moon. Lectures on Duflo isomorphisms in Lie algebra and complex geometry. Problem 37. A semidirect sum of Lie algebras is a Lie algebra. Show More Sentences They assume students to be familiar with techniques of analyzing power systems and with calculus, matrix algebra, and Laplace and Fourier transforms and the Fourier series. Chapters address group theory, commutative rings, Galois theory, noncommutative rings, representation theory, advanced linear algebra, and homology. His theoretical spinor algebra produced correct values of the electron's energy and spin but gave no hint of the physical structure of the electron. Algebraically, classical negation corresponds to complementation in a Boolean algebra, and intuitionistic negation to pseudocomplementation in a Heyting algebra. Examples from Classical Literature Has your algebra bothered you, or is the barn dance troubling your conscience? According to every rule of algebra, not more than one of us three should be alive now. Without this colorific value of words, we could express little more by speech than by the symbols of algebra. She went singing to her algebra, which she could not have done if it had not been snowing. The decimal system mastered, Carmen was inducted into the elements of algebra. She now began to read Euclids Elements, and proceeded in algebra as far as quadratic equations. In connection with the sphere some easy work in quadratics may be introduced even if the class has had only a year in algebra. Ben is thirteen, and he studies algebra, geometry, and Latin. He said India gave the world the concept of Zero, decimal system and solutions to the quadratic equation in algebra. O quiet paths of algebra, you are my excuse for this venial sin! Algebra has its roots in ancient Babylonia and Egypt and in the work of Diophantus, a Greek who became known as the father of algebra. A monomial in algebra is a quantity which consists of a single term. Apples and algebra were the things she cared most about in school life. A binomial in algebra is a quantity consisting of two terms. Helen Plantagenet is deeply grieved to have to confess that I took the first place in algebra yesterday unfairly. Grant, who are always quarrelling, and that poking old woman, who knows no more of whist than of algebra. For him who understands how to decipher them, armorial bearings are algebra, armorial bearings have a tongue. I studied algebra this winter, and went as far as cube root. This year, every freshman takes it, having already taken algebra in eighth-grade. However, Descartes favors his algebra as more transparent, more general and heuristically more powerful. Show More Sentences Abstract In this paper, we define of fuzzy pseudo q-ideals and fuzzy pseudo a-ideals in pseudo-BCI algebra. The connections to the Focal Points include lessons in number and operations, algebra, and measurement and geometry. Last year, Columbus Public Schools recommended students with two Fs in algebra the first semester to enroll in credit recovery and algebra simultaneously. I thought you were kidding me, like that Boolean Algebra stuff. Find more words! Another word for Opposite of Meaning of Rhymes with Sentences with Find word forms Translate from English Translate to English Words With Friends Scrabble Crossword / Codeword Words starting with Words ending with Words containing exactly Words containing letters Pronounce Find conjugations Find names From Afrikaans From Albanian From Amharic From Arabic From Armenian From Azerbaijani From Basque From Belarusian From Bengali From Bosnian From Bulgarian From Catalan From Cebuano From Chichewa From Chinese From Corsican From Croatian From Czech From Danish From Dutch From Esperanto From Estonian From Farsi From Filipino From Finnish From French From Frisian From Galician From Georgian From German From Greek From Gujarati From Haitian Creole From Hausa From Hebrew From Hindi From Hmong From Hungarian From Icelandic From Igbo From Indonesian From Irish From Italian From Japanese From Javanese From Kannada From Kazakh From Khmer From Korean From Kurdish From Kyrgyz From Lao From Latin From Latvian From Lithuanian From Luxembourgish From Macedonian From Malagasy From Malay From Malayalam From Maltese From Maori From Marathi From Mongolian From Burmese From Nepali From Norwegian From Polish From Portuguese From Punjabi From Romanian From Russian From Samoan From Scots Gaelic From Serbian From Sesotho From Shona From Sinhala From Slovak From Slovenian From Somali From Spanish From Sundanese From Swahili From Swedish From Tajik From Tamil From Telugu From Thai From Turkish From Ukrainian From Urdu From Uzbek From Vietnamese From Welsh From Xhosa From Yiddish From Yoruba From Zulu To Afrikaans To Albanian To Amharic To Arabic To Armenian To Azerbaijani To Basque To Belarusian To Bengali To Bosnian To Bulgarian To Catalan To Cebuano To Chichewa To Chinese To Corsican To Croatian To Czech To Danish To Dutch To Esperanto To Estonian To Farsi To Filipino To Finnish To French To Frisian To Galician To Georgian To German To Greek To Gujarati To Haitian Creole To Hausa To Hebrew To Hindi To Hmong To Hungarian To Icelandic To Igbo To Indonesian To Irish To Italian To Japanese To Javanese To Kannada To Kazakh To Khmer To Korean To Kurdish To Kyrgyz To Lao To Latin To Latvian To Lithuanian To Luxembourgish To Macedonian To Malagasy To Malay To Malayalam To Maltese To Maori To Marathi To Mongolian To Burmese To Nepali To Norwegian To Polish To Portuguese To Punjabi To Romanian To Russian To Samoan To Scots Gaelic To Serbian To Sesotho To Shona To Sinhala To Slovak To Slovenian To Somali To Spanish To Sundanese To Swahili To Swedish To Tajik To Tamil To Telugu To Thai To Turkish To Ukrainian To Urdu To Uzbek To Vietnamese To Welsh To Xhosa To Yiddish To Yoruba To Zulu English French Afrikaans Word Albanian Word Arabic Word Bengali Word Chinese Word Croatian Word Czech Word Danish Word Dutch Word English Word Finnish Word French Word German Word Greek Word Hindi Word Hungarian Word Icelandic Word Indonesian Word Italian Word Japanese Word Korean Word Latin Word Malay Word Malayalam Word Marathi Word Nepali Word Norwegian Word Polish Word Portuguese Word Romanian Word Russian Word Serbian Word Slovak Word Spanish Word Swahili Word Swedish Word Tamil Word Telugu Word Thai Word Turkish Word Ukrainian Word Uzbek Word Vietnamese Word Welsh Word All words 2-letter words 3-letter words 4-letter words 5-letter words 6-letter words 7-letter words 8-letter words 9-letter words 10-letter words 11-letter words 12-letter words 13-letter words 14-letter words Plural of Singular of Past tense of Present tense of Verb for Adjective for Adverb for Noun for Meaning of name Origin of name Names meaning Names starting with Names of origin algebra Use * for blank tiles (max 2) Advanced Search Advanced Search Use * for blank spaces Advanced Search Advanced Word Finder See Also What is another word for algebra? What is the opposite of algebra? Words that rhyme with algebra What is the plural of algebra? What is the adverb for algebra? What is the adjective for algebra? What is the noun for algebra? Translations for algebra Use our Sentence Generator Nearby Words Algarve algarroba algaroba algal bloom algal algaecide algebraic algebraical algebraically algebraists algebras Algeciras 7-letter Words Starting With a al alg alge algeb algebr