# REDIRECT Module ( mathematics )

# REDIRECT Module ( mathematics )

Young enjoyed the longest career of any astronaut, making six spaceflights over the course of 42 years of active NASA service, becoming the first person to make six spaceflights ; and is the only person to have piloted four different classes of spacecraft: Gemini, the Apollo Command / Service Module, the Apollo Lunar Module, and the Space Shuttle.

Module 2 covers training in Tactics, Leadership, Doctrine and Navigation, both in theory and in practice, and a further series of selection and aptitude tests are undertaken, usually spread over 10 weekends.

Post Commissioning Training ( formerly known as Module 5 ), again run at an RTC, over 3 weekends.

* Boost Protective Cover — Hollow conical structure that fit over the Command Module during launch.

While at the orbital outpost, the STS-105 crew delivered the Expedition 3 crew, attached the Leonardo Multi-Purpose Logistics Module, and transferred over 2. 7 metric tons of supplies and equipment to the station.

While at the orbital outpost, the STS-105 crew delivered the Expedition 3 crew, attached the Leonardo Multi-Purpose Logistics Module ( MPLM ), and transferred over 2. 7 metric tons of supplies and equipment to the station.

The crew unloaded over 3 short tons ( 2. 7 Mg ) of supplies, logistics and science experiments from the Raffaello Multi-Purpose Logistics Module and repacked over 2 short tons ( 1. 8 Mg ) of items no longer needed on the station for return to Earth.

Dr. Jones and his crew delivered the U. S. Destiny Laboratory Module to the Space Station, and he helped install the Lab in a series of 3 space walks lasting over 19 hours.

On the return journey, the Leonardo Multi-Purpose Logistics Module inside Discovery ’ s payload bay was packed with over 6, 000 pounds of hardware, science results, and trash.

The crew transferred over three tons of supplies, logistics and science experiments from the Raffaello Multi-Purpose Logistics Module to the station.

In 2007, after sitting untouched for over 30 years, NASA engineers used the command module for studies on the spacecraft's life support adapter assembly-the projecting aerodynamic fairing that allows oxygen, water, and electricity to flow from the Service Module to the Command Module.

James S. Voss, Expedition Two flight engineer, looks over an atlas in the Zvezda Service Module.

There were concerns that the explosive mechanism designed to separate the docking ring from the Command Module would not create enough pressure to completely sever the ring.

* Module: an Abelian group M and a ring R acting as operators on M. The members of R are sometimes called scalars, and the binary operation of scalar multiplication is a function R × M → M, which satisfies several axioms.

Module structures are a case of Ω-actions where Ω is a ring and some additional axioms are satisfied.

The study of topology in mathematics extends all over through point set topology, algebraic topology, differential topology, and all the related paraphernalia, such as homology theory, homotopy theory.

His influence spilled over into many other branches of mathematics, for example the contemporary theory of D-modules.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space.

In Doppler's time in Prague as a professor he published over 50 articles on mathematics, physics and astronomy.

So he taught Spanish, physics, and mathematics at the New Albany High School in New Albany, Indiana for a year before he resolved to start over, at the age of 25, to become a professional astronomer.

In mathematics, specifically commutative algebra, Hilbert's basis theorem states that every ideal in the ring of multivariate polynomials over a Noetherian ring is finitely generated.

The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and was transmitted to the west via Islamic mathematics.

If an isomorphism can be found from a relatively unknown part of mathematics into some well studied division of mathematics, where many theorems are already proved, and many methods are already available to find answers, then the function can be used to map whole problems out of unfamiliar territory over to " solid ground " where the problem is easier to understand and work with.

* Encyclopaedia of Mathematics online encyclopaedia from Springer, Graduate-level reference work with over 8, 000 entries, illuminating nearly 50, 000 notions in mathematics.

There is some dispute over priority of various ideas: Newton's Principia is certainly the seminal work and has been tremendously influential, and the systematic mathematics therein did not and could not have been stated earlier because calculus had not been developed.

The first half of the 20th century saw an explosion of fundamental results, accompanied by vigorous debate over the foundations of mathematics.

In mathematics, the definition of number has been extended over the years to include such numbers as zero, negative numbers, rational numbers, irrational numbers, and complex numbers.

Platonism is considered to be, in mathematics departments the world over, the predominant philosophy of mathematics, especially regarding the foundations of mathematics.

So she pored over every book on mathematics in her father's library, even teaching herself Latin and Greek so she could read works like those of Sir Isaac Newton and Leonhard Euler.

In mathematics, specifically in ring theory, the simple modules over a ring R are the ( left or right ) modules over R which have no non-zero proper submodules.

According to Steinhaus, while he was strolling through the gardens he was surprised to over hear the term " Lebesgue measure " ( Lebesgue integration was at the time still a fairly new idea in mathematics ) and walked over to investigate.

In pure mathematics, a vector is any element of a vector space over some field and is often represented as a coordinate vector.

In mathematics, more specifically in abstract algebra and ring theory, a Euclidean domain ( also called a Euclidean ring ) is a ring that can be endowed with a certain structure – namely a Euclidean function, to be described in detail below – which allows a suitable generalization of the Euclidean division of the integers.

Another definition of the GCD is helpful in advanced mathematics, particularly ring theory.

An example of such a finite field is the ring Z / pZ, which is essentially the set of integers from 0 to p − 1 with integer addition and multiplication modulo p. It is also sometimes denoted Z < sub > p </ sub >, but within some areas of mathematics, particularly number theory, this may cause confusion because the same notation Z < sub > p </ sub > is used for the ring of p-adic integers.

In algebra ( which is a branch of mathematics ), a prime ideal is a subset of a ring which shares many important properties of a prime number in the ring of integers.

In mathematics, it is possible to combine several rings into one large product ring.

In mathematics, more specifically in ring theory, a maximal ideal is an ideal which is maximal ( with respect to set inclusion ) amongst all proper ideals.

In the branch of mathematics known as abstract algebra, a ring is an algebraic concept abstracting and generalizing the algebraic structure of the integers, specifically the two operations of addition and multiplication.

In mathematics, a Boolean ring R is a ring for which x < sup > 2 </ sup > = x for all x in R ; that is, R consists only of idempotent elements.

In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non-empty set of ideals has a maximal element.

In mathematics, more specifically ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal which consists of those elements in R which annihilate all simple right R-modules.