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[PDF] Top 20 How many elements of a Coxeter group have a unique reduced expression?

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How many elements of a Coxeter group have a unique reduced expression?

How many elements of a Coxeter group have a unique reduced expression?

... distinct elements r and s of R, we write [rs] n for the (not necessarily reduced) expression with n terms beginning with r and alternating rsrs · · · ... See full document

8

How many elements of a Coxeter group have a unique reduced expression?

How many elements of a Coxeter group have a unique reduced expression?

... a Coxeter group W with distinguished generating set R, every element w of W may be written as a word in ...A reduced expression for w is one of minimal ...different reduced expressions ... See full document

8

Maximal length elements of excess zero in Finite Coxeter Groups

Maximal length elements of excess zero in Finite Coxeter Groups

... about elements of minimal length in W -conjugacy classes, which gives as a byproduct (in Corollaries ...a Coxeter group W , we have that Φ is the disjoint union of the set of positive roots Φ ... See full document

18

A note on maximal length elements in conjugacy classes of finite coxeter groups

A note on maximal length elements in conjugacy classes of finite coxeter groups

... [12], have also been known for a long ...finite Coxeter groups, and prin- cipally those of the irreducible finite Coxeter groups, has come from many directions, for example in the ... See full document

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Maximal length elements of excess zero in finite Coxeter Groups

Maximal length elements of excess zero in finite Coxeter Groups

... (usually many) elements of maximal length and excess zero in every conjugacy ...dral group has excess zero, so the result is trivially ...irreducible Coxeter group, and hence for all ... See full document

17

Involution products in Coxeter groups

Involution products in Coxeter groups

... We prove Theorem 1.1 in Section 3, after gathering together a number of prepara- tory results about Coxeter groups in Section 2. Also some easy properties of excess are noted and, in Proposition 2.7, we ... See full document

11

Involution Posets of Non-Crystallographic Coxeter Groups

Involution Posets of Non-Crystallographic Coxeter Groups

... In the case of the Bruhat decomposition of the group G (i.e. B -orbits on G / B), Chevalley gave a combinatorial description of this geometrically defined order. Here the Bruhat order on the B × B -orbits on G ... See full document

77

SiteMeasurementsBaseMaps(UF IFAS Ext)

SiteMeasurementsBaseMaps(UF IFAS Ext)

... must have accurate measurements for your property lines and house to prevent building on your neighbor’s property and to ensure that the design will fit your ... See full document

5

A Commentary of “How To Specify the Participant Group Size for Usability Studies: A Practitioner’s Guide” by R. Macefield

A Commentary of “How To Specify the Participant Group Size for Usability Studies: A Practitioner’s Guide” by R. Macefield

... participant group size depends on the purpose of the ...participant group size is ...participant group size. The Comparative Usability Evaluation (CUE) studies have shown that it is infeasible ... See full document

5

Evolving structure of the maritime trade network: evidence from the Lloyd’s Shipping Index (1890–2000)

Evolving structure of the maritime trade network: evidence from the Lloyd’s Shipping Index (1890–2000)

... we have constructed a network of maritime connections thanks to the data extracted from the Lloyd’s Shipping Index, a database containing information on daily movements of ships of almost the entire world ...we ... See full document

17

DrawingPlantingPlan(UF IFAS Ext)

DrawingPlantingPlan(UF IFAS Ext)

... plants have been described, specify the plants in the bubbles closest to the house, using the color and texture of the building as your starting ...you have described the first bubble, move to the adjacent ... See full document

10

BasicPrinciplesOfLandscapeDesign(UF IFAS Ext)

BasicPrinciplesOfLandscapeDesign(UF IFAS Ext)

... amount of intense color has as much visual weight as a large amount of a more subdued or weaker color. Color schemes in the garden can change with the seasons. Summer colors are usually more varied and bright with more ... See full document

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TenThingsToConsider(UF IFAS Ext)

TenThingsToConsider(UF IFAS Ext)

... are many different landscape design themes- from simple to complex, but it is helpful to choose one to guide your plant and material ...garden. Many people find it helpful to look in gardening magazines and ... See full document

8

Comparative assessment of plant protection products: how many cases will regulatory authorities have to answer?

Comparative assessment of plant protection products: how many cases will regulatory authorities have to answer?

... In terms of affected uses, more or less detailed compara- tive assessments may be required for the 767 different uses of potential candidate products for which at least one alternative product is currently authorised. ... See full document

12

Locally Maximally Entangled States of Multipart Quantum Systems

Locally Maximally Entangled States of Multipart Quantum Systems

... An interesting point (suggested by Eliot Hijano) is that we can describe quantum mechan- ical systems for which all physical states are LME. Given any multipartite system with a Hamiltonian H invariant under the global ... See full document

55

Unique  Group  Signatures

Unique Group Signatures

... existing group signature schemes for this purpose: “One may also consider using group signatures and have users identify themselves by signing a message chosen by the verifier (using his current ... See full document

37

How many defects?!

How many defects?!

... observing how the staff handles the ...show how big the financial loss is that is caused by the defects, and which instruments contribute the most to ... See full document

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"How many legs does a dog have?" - Continuous online assessment in the Life Sciences

"How many legs does a dog have?" - Continuous online assessment in the Life Sciences

... ▫ Over-reliance of particular forms of assessment within the School ▫ Tutors can write their own assessments, but they need to be overseen by a team of people SOLSTICE Conference - June [r] ... See full document

16

Amish agriculture in Iowa: a preliminary investigation

Amish agriculture in Iowa: a preliminary investigation

... makes Amish farmers unique?; In what ways are Amish farmers similar to other Iowa farmers?; What elements characterize Amish agriculture?; How have the Amish managed to maintain their sm[r] ... See full document

127

Elements of a Theory of Global Governance

Elements of a Theory of Global Governance

... course, many wars fought out in the global south by proxy powers, this arrangement created the conditions for what can now be regarded as an unprecedented period of global stabil- ity and economic growth across ... See full document

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