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This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

The Watercourse collection features an array of shower drains in multiple finishes. From simple, non-obtrusive grid-cut floor drains to ornate embossed floral patterns the Watercourse collection offers a range of selections. Watercourse drains install a variety of ways and fit a range of both square and circular drain openings. Please see each drain for its detailed specifications and compatibility. The Symmetric drain flange in the Watercourse collection fits a 4 in. x 4 in. square and features symmetrical rounded-slot cutouts on its circular hair catcher to prevent foreign objects entering your drain. The design comes in Chrome, Polished Brass, Antique Brass, Oil Rubbed Bronze, Polished Nickel, Brushed Brass, Brushed Nickel and Matte Black to match nearly any fixture and any design.

Enhance your decor with the speckle symmetric side table, a piece that embodies minimalist charm and timeless elegance. Featuring a captivating white base adorned with black speckles, this abstract hourglass design is crafted from lightweight concrete. Making it both stylish and durable for indoor and outdoor use.

Make the most of your Neumann NDH 30 headphones with the official 3.9' Symmetric Cable, designed to maintain the pristine audio quality that Neumann is renowned for. Crafted with durability in mind, this high-quality, reliable cable ensures that your listening experience remains uninterrupted, whether you're in a professional studio setting or enjoying your favorite tracks at home.The cable's symmetrical design is not just about aesthetics; it's engineered to deliver a balanced connection that minimizes crosstalk, thus preserving the clarity and detail of your audio. With its 3.5mm stereo mini-plug connectors, this cable offers a secure and stable link between your NDH 30 headphones and your audio device, ensuring compatibility and optimal performance.As a versatile accessory, the 3.9-foot length provides ample reach without excess slack, making it an ideal choice for a tidy and organized workspace or listening area. The sleek black finish complements the stylish design of your NDH 30 headphones, ensuring that your audio setup looks as professional as it sounds.Choose the Neumann 3.9' Symmetric Cable for your NDH 30 headphones for a seamless audio connection that upholds the integrity of your music and recordings. This is the perfect replacement for a lost or damaged cable, or simply as a spare to have on hand for audio enthusiasts who demand the best in sound quality and reliability.

Transform your space with a natural, earthy aesthetic that blends modern design with organic charm. This stunning accent table, with its faux wood grain finish, brings warmth and sophistication to both indoor and outdoor areas. Featuring the same captivating hourglass design crafted from lightweight concrete, this piece combines rustic appeal with durable construction.

Transform your space with a natural, earthy aesthetic that blends modern design with organic charm. This stunning accent table, with its faux wood grain finish, brings warmth and sophistication to both indoor and outdoor areas. Featuring the same captivating hourglass design crafted from lightweight concrete, this piece combines rustic appeal with durable construction.

Transform your space with a natural, earthy aesthetic that blends modern design with organic charm. This stunning accent table, with its faux wood grain finish, brings warmth and sophistication to both indoor and outdoor areas. Featuring the same captivating hourglass design crafted from lightweight concrete, this piece combines rustic appeal with durable construction.

This modern living room symmetrical corner sectional couch is an essential lovesac style for comfortable daily life. It is not only a big comfy couch but also a design set for any living room. This L shaped sofa for living room set of 3 pieces modules that pairs in various configurations; small couch launch chair, chase and loveseat, day bed, sectional, and sleeper sofa. Velvet or fabric upholstered on kiln dried wood frame and rh high density foam which will keep its shape for years while serving to family and the guests. All modules can be connected to each other from the bottom hook and hatch. This oversized sofa set cushions are filled with virgin quality foam to create cozy living room, studio, game room, and guest rooms. All pillows of modern modular sectional couches are reversible and dry clean friendly. This couch set features a carefully crafted for its functionality and comfort to create living spaces to single family homes, farmhouses, condos and apartments. Symmetrical modern sectional comfy sofa hugs you with its craftsmanship and with clearance sale price leaves you speechless. Stain resistant pet friendly sofa covers add value and create the best living room furniture set. Combine convenience with the minimalist appeal of mid-century modern style with this lounge sofa. This product comes in various colors; teal velvet, yellow velvet, orange velvet, dark grey linen, and light grey linen. These modular sectional couches are available in stock and ready to ship.

This modern living room symmetrical corner sectional couch is an essential lovesac style for comfortable daily life. It is not only a big comfy couch but also a design set for any living room. This L shaped sofa for living room set of 3 pieces modules that pairs in various configurations; small couch launch chair, chase and loveseat, day bed, sectional, and sleeper sofa. Velvet or fabric upholstered on kiln dried wood frame and rh high density foam which will keep its shape for years while serving to family and the guests. All modules can be connected to each other from the bottom hook and hatch. This oversized sofa set cushions are filled with virgin quality foam to create cozy living room, studio, game room, and guest rooms. All pillows of modern modular sectional couches are reversible and dry clean friendly. This couch set features a carefully crafted for its functionality and comfort to create living spaces to single family homes, farmhouses, condos and apartments. Symmetrical modern sectional comfy sofa hugs you with its craftsmanship and with clearance sale price leaves you speechless. Stain resistant pet friendly sofa covers add value and create the best living room furniture set. Combine convenience with the minimalist appeal of mid-century modern style with this lounge sofa. This product comes in various colors; teal velvet, yellow velvet, orange velvet, dark grey linen, and light grey linen. These modular sectional couches are available in stock and ready to ship. Color: Burnt Orange Velvet.

This modern living room symmetrical corner sectional couch is an essential lovesac style for comfortable daily life. It is not only a big comfy couch but also a design set for any living room. This L shaped sofa for living room set of 3 pieces modules that pairs in various configurations; small couch launch chair, chase and loveseat, day bed, sectional, and sleeper sofa. Velvet or fabric upholstered on kiln dried wood frame and rh high density foam which will keep its shape for years while serving to family and the guests. All modules can be connected to each other from the bottom hook and hatch. This oversized sofa set cushions are filled with virgin quality foam to create cozy living room, studio, game room, and guest rooms. All pillows of modern modular sectional couches are reversible and dry clean friendly. This couch set features a carefully crafted for its functionality and comfort to create living spaces to single family homes, farmhouses, condos and apartments. Symmetrical modern sectional comfy sofa hugs you with its craftsmanship and with clearance sale price leaves you speechless. Stain resistant pet friendly sofa covers add value and create the best living room furniture set. Combine convenience with the minimalist appeal of mid-century modern style with this lounge sofa. This product comes in various colors; teal velvet, yellow velvet, orange velvet, dark grey linen, and light grey linen. These modular sectional couches are available in stock and ready to ship. Color: Dark Gray.

This modern living room symmetrical corner sectional couch is an essential lovesac style for comfortable daily life. It is not only a big comfy couch but also a design set for any living room. This L shaped sofa for living room set of 3 pieces modules that pairs in various configurations; small couch launch chair, chase and loveseat, day bed, sectional, and sleeper sofa. Velvet or fabric upholstered on kiln dried wood frame and rh high density foam which will keep its shape for years while serving to family and the guests. All modules can be connected to each other from the bottom hook and hatch. This oversized sofa set cushions are filled with virgin quality foam to create cozy living room, studio, game room, and guest rooms. All pillows of modern modular sectional couches are reversible and dry clean friendly. This couch set features a carefully crafted for its functionality and comfort to create living spaces to single family homes, farmhouses, condos and apartments. Symmetrical modern sectional comfy sofa hugs you with its craftsmanship and with clearance sale price leaves you speechless. Stain resistant pet friendly sofa covers add value and create the best living room furniture set. Combine convenience with the minimalist appeal of mid-century modern style with this lounge sofa. This product comes in various colors; teal velvet, yellow velvet, orange velvet, dark grey linen, and light grey linen. These modular sectional couches are available in stock and ready to ship.

This reissued classic text is the acclaimed second edition of Professor Ian Macdonald's groundbreaking monograph on symmetric functions and Hall polynomials.The first edition was published in 1979, before being significantly expanded into the present edition in 1995. This text is widely regarded as the best source of information on Hall polynomials and what have come to be known as Macdonald polynomials, central to a number of key developments in mathematics and mathematical physics in the 21st centuryMacdonald polynomials gave rise to the subject of double affine Hecke algebras (or Cherednik algebras) important in representation theory. String theorists use Macdonald polynomials to attack the so-called AGT conjectures. Macdonald polynomials have been recently used to construct knot invariants. They are also a central tool for a theory of integrable stochastic models that have found a number of applications in probability, such as random matrices, directed polymers in random media, driven lattice gases, and so on. Macdonald polynomials have become a part of basic material that a researcher simply must know if (s)he wants to work in one of the above domains, ensuring this new edition will appeal to a very broad mathematical audience.Featuring a new foreword by Professor Richard Stanley of MIT.

Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs - including methods inspired by the algebraic theory of coding and by the representation theory of finite groups - and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has long been known to be connected to combinatorics, representation theory, and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.

This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

This book brings together many of the important results in this field. From the reviews: ""A classic gets even better....The edition has new material including the Novelli-Pak-Stoyanovskii bijective proof of the hook formula, Stanley’s proof of the sum of squares formula using differential posets, Fomin’s bijective proof of the sum of squares formula, group acting on posets and their use in proving unimodality, and chromatic symmetric functions." --ZENTRALBLATT MATH

According to Parlett, ‘Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts’. Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse.

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.