The work is merely the surviving portion ( books 6 – 9 ) of the General elementary introduction to the Christian faith, now lost.

: For an elementary introduction to how Lie algebras are related to particle physics, see the article Particle physics and representation theory.

As he says in the introduction of his book " Genetic Epistemology " ( ISBN 978-0-393-00596-7 ): " What the genetic epistemology proposes is discovering the roots of the different varieties of knowledge, since its elementary forms, following to the next levels, including also the scientific knowledge.

ISBN 3-540-30697-8 ( elementary introduction for mathematicians and computer scientists )

This article offers an elementary introduction to the concept, whereas the article on the Bernoulli process offers a more advanced treatment.

The Hyperion universe originated when Simmons was an elementary school teacher, as an extended tale he told at intervals to his young students ; this is recorded in " The Death of the Centaur ", and its introduction.

Books i – iv he describes as an " elementary introduction " containing essential principles, while the other books are specialized investigations in particular directions.

Beautiful elementary introduction to the ideas, no prior knowledge of field theory being necessary.

( For a more elementary introduction to how the representation theory of Lie algebras are related to particle physics, see the article Particle physics and representation theory.

The only natural possibility, one avoiding the introduction of elementary scalars, is to enlarge G < sub > TC </ sub > to allow technifermions to couple to quarks and leptons.

In 1872 Andrews published " The Basic Outline of Universology " which was subtitled " An introduction to the newly discovered science of the universe, its elementary principles, and the first stages of their development in the special sciences.

The 1880s saw the introduction of compulsory elementary education for the Blind throughout the United States.

By 1988, an estimated 75 – 80 % of American high school biology students were participating in a frog dissection, with a trend towards introduction in elementary schools.

For example, a Non Profit Organization presents the need for a capital fund-raising campaign to benefit the victims of a recent tragedy ; a school district superintendent presents a program to parents about the introduction of foreign-language instruction in the elementary schools ; an artist demonstrates decorative painting techniques to a group of interior designers ; a horticulturist shows garden club members or homeowners how they might use native plants in the suburban landscape ; a police officer addresses a neighborhood association about initiating a safety program.

Although the Latvian government prohibited the formation of an ethnic Livonian parish within the Lutheran Church of Latvia in 1923, it approved the introduction of the Livonian language as an optional subject in elementary schools in the villages of the Livonian Coast that same year.

Allegretti, Simplicial Sets and van Kampen's Theorem ( An elementary introduction to simplicial sets ).

A proposal was carried that the elementary schools under the control of the corporation should be secularized by the introduction of what was known as the Irish National System.

* C. Adams, The Knot Book: An elementary introduction to the mathematical theory of knots.

Website produced by the numerical relativity group at the National Center for Supercomputing Applications, featuring an elementary introduction to general relativity, black holes and gravitational waves

“( 1 ) number and computation ; ( 2 ) the geometry of everyday life ; ( 3 ) graphic representation ; ( 4 ) an introduction to the essentials of elementary algebra ( formula and equation ).” At the same time, these years were meant to help students gain critical thinking skills applicable to every aspect of life.

gives an elementary introduction, and and give more advanced accounts.

Logo is known for its introduction of turtle graphics to elementary schoolchildren in the 1980s.

The Harper Report called for the superintendent ’ s increased power, the instilling of corporate-like efficiency in the schools, the reduction of the school board ’ s size, the increase of “ experts ” in educational leadership positions, and the introduction of a salary system based on merit that would favor male high school teachers and administrators over the largely female elementary school teachers.

Although not recognized as such by Dirac at the time the equation was formulated, in hindsight the introduction of this geometric algebra represents an enormous stride forward in the development of quantum theory.

One recent significant development here is the introduction of a quantum group, a certain kind of Hopf algebra.

:: An introduction to the exterior algebra, and geometric algebra, with a focus on applications.

:: An introduction to the coordinate-free approach in basic finite-dimensional linear algebra, using exterior products.

In 1971 Golfand and Likhtman were the first to show that the Poincaré algebra can be extended through introduction of four

Combining the two kinds of fields into a single algebra requires the introduction of a Z < sub > 2 </ sub >- grading under which the bosons are the even elements and the fermions are the odd elements.

The award cited him " for his contributions to algebra, the theory of automorphic forms, and mathematical physics, including the introduction of vertex algebras and Borcherds ' Lie algebras, the proof of the Conway-Norton moonshine conjecture and the discovery of a new class of automorphic infinite products.

Backward chaining -- Barcan formula -- Biconditional elimination -- Biconditional introduction -- Bivalence and related laws -- Boolean algebra ( logic ) -- Boolean algebra ( structure )

This work was a substantial advance on, for example, the comprehensive introduction of 13th century Chinese algebra made as late as 1671, by Kazuyuki Sawaguchi.

The effect of the introduction of the new symbolism was not restricted to algebra.

*: An introduction to categorical approaches to algebraic topology: the focus is on the algebra, and assumes a topological background.

* Imaginary numbers are not real – the geometric algebra of spacetime, a tutorial introduction to the ideas of geometric algebra, by S. Gull, A. Lasenby, C. Doran

Lang's Algebra, a graduate-level introduction to abstract algebra, was a highly influential text that ran through numerous updated editions.

In the United States, it is important in mathematics, students focus commonly on an introduction to pre-algebra or the beginnings of algebra, including ratio, proportion, percent.

An introduction to abstract algebra.

The subject became an object of algebraic interest with the publication of and the introduction of the Bose – Mesner algebra.

* Guaranteed to Bend Your Brain ( previously Murderous Maths ), ISBN 0-439-01156-6-(+-× ÷ %, powers, tessellation, roman numerals, the development of the " 10 " and the place system, shortcomings of calculators, prime numbers, time-how the year and day got divided, digital / analogue clocks, angles, introduction to real Mathematicians, magic squares, mental arithmetic, card trick with algebra explanation, rounding and symmetry.

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

As described in the introduction, BCD takes advantage of the fact that any one decimal numeral can be represented by a four bit pattern:

Growth was limited by economic conditions caused by the great depression but thanks in part to the introduction of the metal can in 1936 Budweiser ’ s sales began to climb again.

B. Rives points out in his introduction to Tacitus's Germania ( book ) and moreover that the name Boiorix can work in Proto-Germanic as well as Celtic.

The date of the introduction of crossbows, however, can be dated further back: According to the inventor Hero of Alexandria ( fl.

The introduction of crossbows however, can be dated further back: According to the inventor Hero of Alexandria ( fl.

Although Kent is described in the show introduction as " mild-mannered ", he can be very assertive, often giving orders to people and taking authoritative command of situations, though, as in the Pre-Crisis Superman stories at that time, Clark is still considered the secret identity.

The introduction of non-native species can cause substantial shifts in ecosystem function.

The introduction of non-native species can cause substantial shifts in ecosystem function.

A new wave of lexicography can be seen from the late 15th century onwards ( after the introduction of the printing press, with the growing interest in standardizing languages ).

Most general purpose functional programming languages allow unrestricted recursion and are Turing complete, which makes the halting problem undecidable, can cause unsoundness of equational reasoning, and generally requires the introduction of inconsistency into the logic expressed by the language's type system.

This initial introduction does not yet exploit all of the capabilities of GEGL ; as of the 2. 6 release, GIMP can use GEGL to perform high bit-depth color operations ; because of this less information is lost when performing color operations.

Since these concepts are formally defined in the article on structures, the present article can content itself with an informal introduction which consists in examples of how these terms are used.

4 ) The introduction of 100 % Inheritance Tax, so that the superrich elite can no longer pass on their wealth to a select few ( their privileged children ) rather than the Commonwealth.

Synchronic and comparative-historical studies of tone systems show that such a basic system can easily develop more tonal contrasts under the influence of depressor consonants or through the introduction of a downstep.

For example, peroxisome-less mutants can restore peroxisomes upon introduction of the wild-type gene.

Expressing surprise at the ignorance of the poets, Pliny says " There can be no doubt that amber is the product of the islands of the northern ocean ( Baltic Sea )" and attributes its introduction into the Po valley to the Veneti, the last link in a trade route to the north through Pannonia and Germany.

The use of prefixes can be traced back to the introduction of the metric system in the 1790s, long before the 1960 introduction of the SI.

The loss of endemic vegetation, birds and other fauna, much of it within the first 50 years of discovery, can be attributed to the impact of humans and their introduction of goats, pigs, dogs, cats, rats as well as the introduction of non-endemic birds and vegetation into the island.

Sound change can consist of the replacement of one speech sound ( or, more generally, one phonetic feature ) by another, the complete loss of the affected sound, or even the introduction of a new sound in a place where there previously was none.