Elementary symmetric polynomialIn mathematics, specifically in commutative algebra, the elementary symmetric polynomials are one type of basic building block for symmetric polynomials, in the sense that any symmetric polynomial can be expressed as a polynomial in elementary symmetric polynomials. That is, any symmetric polynomial P is given by an expression involving only additions and multiplication of constants and elementary symmetric polynomials.
Consistent estimatorIn statistics, a consistent estimator or asymptotically consistent estimator is an estimator—a rule for computing estimates of a parameter θ0—having the property that as the number of data points used increases indefinitely, the resulting sequence of estimates converges in probability to θ0. This means that the distributions of the estimates become more and more concentrated near the true value of the parameter being estimated, so that the probability of the estimator being arbitrarily close to θ0 converges to one.
Ring of symmetric functionsIn algebra and in particular in algebraic combinatorics, the ring of symmetric functions is a specific limit of the rings of symmetric polynomials in n indeterminates, as n goes to infinity. This ring serves as universal structure in which relations between symmetric polynomials can be expressed in a way independent of the number n of indeterminates (but its elements are neither polynomials nor functions). Among other things, this ring plays an important role in the representation theory of the symmetric group.
Design methodsDesign methods are procedures, techniques, aids, or tools for designing. They offer a number of different kinds of activities that a designer might use within an overall design process. Conventional procedures of design, such as drawing, can be regarded as design methods, but since the 1950s new procedures have been developed that are more usually grouped together under the name of "design methods". What design methods have in common is that they "are attempts to make public the hitherto private thinking of designers; to externalise the design process".
Power sum symmetric polynomialIn mathematics, specifically in commutative algebra, the power sum symmetric polynomials are a type of basic building block for symmetric polynomials, in the sense that every symmetric polynomial with rational coefficients can be expressed as a sum and difference of products of power sum symmetric polynomials with rational coefficients. However, not every symmetric polynomial with integral coefficients is generated by integral combinations of products of power-sum polynomials: they are a generating set over the rationals, but not over the integers.
Participatory designParticipatory design (originally co-operative design, now often co-design) is an approach to design attempting to actively involve all stakeholders (e.g. employees, partners, customers, citizens, end users) in the design process to help ensure the result meets their needs and is usable. Participatory design is an approach which is focused on processes and procedures of design and is not a design style. The term is used in a variety of fields e.g.
Complete homogeneous symmetric polynomialIn mathematics, specifically in algebraic combinatorics and commutative algebra, the complete homogeneous symmetric polynomials are a specific kind of symmetric polynomials. Every symmetric polynomial can be expressed as a polynomial expression in complete homogeneous symmetric polynomials. The complete homogeneous symmetric polynomial of degree k in n variables X1, ..., Xn, written hk for k = 0, 1, 2, ..., is the sum of all monomials of total degree k in the variables.
Automotive designAutomotive design is the process of developing the appearance (and to some extent the ergonomics) of motor vehicles, including automobiles, motorcycles, trucks, buses, coaches, and vans. The functional design and development of a modern motor vehicle is typically done by a large team from many different disciplines also included within automotive engineering, however, design roles are not associated with requirements for professional- or chartered-engineer qualifications.
John 5John 5 is the fifth chapter of the Gospel of John of the New Testament of the Christian Bible. It relates Jesus' healing and teaching in Jerusalem, and begins to evidence the hostility shown him by the Jewish authorities. The original text was written in Koine Greek. This chapter is divided into 47 verses. Some early manuscripts containing the text of this chapter are: Papyrus 75 (AD 175–225) Papyrus 66 (c. 200) Papyrus 95 (3rd century; extant verses 26–29, 36–38) Codex Vaticanus (325-350) Codex Sinaiticus (330-360) Codex Bezae (c.
Amos 5Amos 5 is the fifth chapter of the Book of Amos in the Hebrew Bible or the Old Testament of the Christian Bible. This book contains the prophecies attributed to the prophet Amos, including a lamentation for Israel, Amos 5:1–3; an exhortation to repentance, Amos 5:4–20; and God's rejection of their hypocritical service, Amos 5:21–27. It is a part of the Book of the Twelve Minor Prophets. The original text was written in Hebrew language. This chapter is divided into 27 verses.
1998 Winter OlympicsThe 1998 Winter Olympics, officially known as the XVIII Olympic Winter Games and commonly known as Nagano 1998 (長野1998), was a winter multi-sport event held from 7 to 22 February 1998, mainly in Nagano, Japan, with some events taking place in the nearby mountain communities of Hakuba, Karuizawa, Nozawa Onsen, and Yamanouchi. The city of Nagano had previously been a candidate to host the 1940 Winter Olympics (which were later cancelled), as well as the 1972 Winter Olympics, but had been eliminated at the national level by Sapporo on both occasions.
Architecture of LiverpoolThe architecture of Liverpool is rooted in the city's development into a major port of the British Empire. It encompasses a variety of architectural styles of the past 300 years, while next to nothing remains of its medieval structures which would have dated back as far as the 13th century. Erected 1716–18, Bluecoat Chambers is supposed to be the oldest surviving building in central Liverpool. There are over 2500 listed buildings in Liverpool of which 27 are Grade I and 105 Grade II* listed.
