Dior Home DecorCreative Home Decor Ideas & Supplies

Abstract / Modern ALG: Ker (PHI) and phi (-3.2) for phi: ZXZ-> Z, where phi (1.0) = 3 and phi (0,1) =- 5. Calculate …?

Calculate amounts of homomorphism. help!

If G and H are abelian groups and phi: G – H is a group homomorphism, then for all G1, G2, in G and M and N integers Z, we have phi (n g1 + g2 m) = n phi (G1) + phi m (G2). [This follows directly from the definition of group homomorphism] Now in Z x Z, we have (-3.2) = -3 (1.0) + 2 (0.1). Thus phi (-3.2) = -3 phi (1.0) + 2 phi (0.1) = -3 (3) + 2 (-5) = -19. Now, to calculate the kernel of a homomorphism phi: G -> H, it is necessary to determine exactly which elements g satisfying phi (g) = 0 in H. Now in your example, if (x, y) in Z x Z, then (x, y) = x (1,0) + Y (0,1), so phi (x, y) = 3x – 5a. Now phi (x, y) = 0 if and only if 3x-5y = 0. Since both x and y are integers, we have ker (PHI) = <(5,3)>.

Modern Abstract Art by Linde B. Martin

Self Design Wall Clock Modern Contemporary Abstract $37.05 Awesome Self Design Wall Clock. Slant and Slide the Numbers Anyway you Want. Great for Work or Home. A Wonderful and Fun Piece of Art for a Wall Clock...

Hand Blown Abstract Teardrop Art Glass Vase with Angled Lip 13.5 tall $42.00 Hand-blown teardrop vase with angled-lip design. Exterior design consists of stripes and floral accents of contrasting colors that all comes together to form an Asian theme....

Home Dynamix Area: Zone Rug: 7160: Zebra Rug Made with high quality Polypropylene pile yarn, anti-static, stain resistant, color fast, durable and easy to maintain, this beautiful and affordable rug is a particularly practical choice for discerning people with active household....

Live At C.O.N. Artists [RARE] A1 Black Tent A2 Instruments Of Torture B1 Nephthys B2 Nites Of Malta...

Piano Bar ****** LIMITED TO 389 COPIES PRODUCED ****** A1 Is This Working? (1:05) A2 Piano Bar (Introduction) (1:25) A3 Big Titular Deities (1:14) A4 The Great Fuck Inaccessible (4:29) A5 It's Not Working (0:30) A6 No Fuckin' Witnesses! (2:51) A7 History Lesson (Part 1) (7:42) A8 Jemimah (3:05) B1 Cuz I Fuckin' Love Ya (2:37) B2 Who Needs A Theremin? (1:51) B3 Sweater Puppe...

Hand-tufted Ciara Contemporary Wool Rug (5' x 8') $152.99 Modern Ciara wool rug makes a stylish addition to any room Luxurious rug hand-tufted of 100-percent New Zealand woolRug features a striking abstract design in sapphire blue, gray, orange, deep burgundy, dusty rose, rust and bright blue

Geometric Modern Metal Abstract Wall Art $47.99 Catch the new trend in home furnishing with this geometric wall art. This metal plaque will make a nice addition to any room in your home.

Multicolor Modern Wood Abstract Wall Art Decor Plaques (Set of 3) $71.99 A multicolor abstract design adorns this set of three hanging wall plaques. These decorative plaques can be hung separately or together.

Abstract Expressionism $20.39 Who were the leading Abstract Expressionist artists? What were the different types of Abstract Expressionist art? ''Abstract Expressionism'' answers these questions. It also explains how Abstract Expressionism developed in New York and was the first U.S. art movement to become internationally famous, investigates the ideas and techniques of both action painters and colour-field painters, and considers how modern artists continue to be influenced by the Abstract Expressionists. ''Art on the Wall'' is an exciting and informative series that explores a range of art movements and styles. Each title in the series looks at the history behind the movement and discusses the techniques used by its artists. The text is supported with stunning paintings and other artworks that illustrate each art style. The titles also include biographies of well-known artists and try-it-yourself activities that encourage readers to create their works of art using the techniques of the movement.

Abstract Painting $16.27 Until now, the techniques used to create great abstract paintings were surrounded by a veil of mystery. Abstract Painting: Concepts and Techniques lifts that veil to reveal the exact methods behind the masterworks. Now students and professional artists can stop guessing and start building on the techniques of the great abstract artists to create their own innovative new work. Two clear, comprehensible sections let artists focus quickly on their specific areas of interest. The first section, on Traditional Painterly Abstraction, using brush and easel, looks at pictorial space, brushwork, paint quality, and college. The second section, on Post-Painterly Modern Abstraction, considers options ranging from the pour-and-spatter techniques of Jackson Pollock to the staining, scraping, and abrading of modern acrylic artists. Step-by-step recipes for key approaches show artists how to get the best aesthetic results, freeing them to move forward philosophically.

Abstract Expressionism and Other Modern Works $46.24 Promised more than two decades ago, the Muriel Kallis Steinberg Newman Collection of modern art only joined the permanent collection of The Metropolitan Museum of Art recently. Published in celebration of that event, this catalogue reproduces images of works by some 50 artists found in the collection, including pieces produced by Arshile Gorky, Franz Kline, Mark Rothko, Willem de Kooning, Jackson Pollock, Clyfford Still, Max Ernst, and Joan MirS. The focus of the collection is on abstract expressionism, but such focus is not exclusive. Each artist is discussed, together with the examples of their work found in the Newman Collection, in individual scholarly essays. Annotation )2007 Book News, Inc., Portland, OR (booknews.com)

Abstract Expressionism and Other Modern Works $44.02 Promised more than two decades ago, the Muriel Kallis Steinberg Newman Collection of modern art only joined the permanent collection of The Metropolitan Museum of Art recently. Published in celebration of that event, this catalogue reproduces images of works by some 50 artists found in the collection, including pieces produced by Arshile Gorky, Franz Kline, Mark Rothko, Willem de Kooning, Jackson Pollock, Clyfford Still, Max Ernst, and Joan MirS. The focus of the collection is on abstract expressionism, but such focus is not exclusive. Each artist is discussed, together with the examples of their work found in the Newman Collection, in individual scholarly essays. Annotation )2007 Book News, Inc., Portland, OR (booknews.com)

Abstract Expressionism and Other Modern Works $56.08 Promised more than two decades ago, the Muriel Kallis Steinberg Newman Collection of modern art only joined the permanent collection of The Metropolitan Museum of Art recently. Published in celebration of that event, this catalogue reproduces images of works by some 50 artists found in the collection, including pieces produced by Arshile Gorky, Franz Kline, Mark Rothko, Willem de Kooning, Jackson Pollock, Clyfford Still, Max Ernst, and Joan MirS. The focus of the collection is on abstract expressionism, but such focus is not exclusive. Each artist is discussed, together with the examples of their work found in the Newman Collection, in individual scholarly essays. Annotation )2007 Book News, Inc., Portland, OR (booknews.com)

Abstract Expressionism and Other Modern Works $39.5 Promised more than two decades ago, the Muriel Kallis Steinberg Newman Collection of modern art only joined the permanent collection of The Metropolitan Museum of Art recently. Published in celebration of that event, this catalogue reproduces images of works by some 50 artists found in the collection, including pieces produced by Arshile Gorky, Franz Kline, Mark Rothko, Willem de Kooning, Jackson Pollock, Clyfford Still, Max Ernst, and Joan MirS. The focus of the collection is on abstract expressionism, but such focus is not exclusive. Each artist is discussed, together with the examples of their work found in the Newman Collection, in individual scholarly essays. Annotation )2007 Book News, Inc., Portland, OR (booknews.com)