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(p,q)-torus knots

Generalised knot groups of connect sums of torus knots : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Manawatu, New Zealand

Generalised knot groups of connect sums of torus knots : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University, Manawatu, New Zealand

... manipulate knots by projecting the knot on to a plane, so that the projection has no triple points or tangencies (Figure ...reconstructed. Knots can be represented by many possible diagrams, as seen in ...

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Knots with proprety R+

Knots with proprety R+

... torus knots will be a knot which also has Property R+ While it is true that a knot of arbitrarily high complexity can be fashioned from the connected sum of 2, m-torus knots, it would be[r] ...

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THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS

THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS

... of knots lying on the surface of a standard genus 2 surface, which he calls twisted torus ...handlebodies. Knots satisfying this condition yield small Seifert fibre spaces (with base S 2 and at most ...

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Knots and Electromagnetism

Knots and Electromagnetism

... Several directions for future research present themselves. First of all, it would be interesting to study the surfaces to which the field lines of the electromagnetic fields discussed in section 4 . 4 are constrained. We ...

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Congruences for Generalized  Bernoulli Polynomials

Congruences for Generalized Bernoulli Polynomials

... of p-adic q-L-function of two variables, which is recently constructed by Kim 2005 and Cenkci ...generalized q-Bernoulli polynomials, which are q- extensions of the classes for generalized ...

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Saturn's neutral torus versus Jupiter's plasma torus

Saturn's neutral torus versus Jupiter's plasma torus

... 300 kg/s of neutral gas to Saturn’s inner magnetosphere. Io is the source of roughly 1 ton/s of sulfur and oxygen gas at Jupiter. Despite the apparent similarity, the neutral/ion ratio at Saturn is 3 orders of magnitude ...

5

Mutant Knots

Mutant Knots

... of knots with the goal of extending and systematising Conway’s ...of knots from the point of view of orbifolds, where the knot formed a subset with cone angle ...for knots were used in [6] to ...

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Monotonicity in Markov chains

Monotonicity in Markov chains

... Parameters p and q denote their ...ability p) is used for communication from the sender to the receiver and the second for communication from the receiver to the ...

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On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators

On Chlodowsky Variant of (p,q) Kantorovich-Stancu-Schurer Operators

... (p, q)-calculus in approximation theory and introduced first (p, q)- analogue of Bernstein ...(p, q)-analogue of Bernstein opera- tors, Bernstein-Stancu operators and ...

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Overconvergent algebraic automorphic forms

Overconvergent algebraic automorphic forms

... be the direct limit. This is the space of locally L-analytic V -valued functions on X. Let G be a connected reductive algebraic group over L. We refer to [4, §5] for the structure theory of reductive algebraic groups ...

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Variational method to a fractional impulsive \((p,q)\) Laplacian coupled systems with partial sub \((p,q)\) linear growth

Variational method to a fractional impulsive \((p,q)\) Laplacian coupled systems with partial sub \((p,q)\) linear growth

... (p, q)-Laplacian is obtained if the nonlinear term has sub-(p, q) linear growth, and by using an extension of Clark’s theorem, infinitely many solutions of the system are obtained if ...

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Rainfall Infiltration Return Frequency Estimates

Rainfall Infiltration Return Frequency Estimates

... Normal distribution tests for gage 372: P-Q, P-Q-ET, and P-Q-ET-IA where P = rainfall available from daily rain gage data, Q = runoff estimated using the NRCS approach for the specified [r] ...

15

On Solutions of the Diophantine Equations  
$p^3 + q^3 = z^2$  and  $p^3 - q^3 = z^2$  when   p,  q  are Primes

On Solutions of the Diophantine Equations $p^3 + q^3 = z^2$ and $p^3 - q^3 = z^2$ when p, q are Primes

... p - 2 = 3A 2 and p 2 +2p + 4 = 3B 2 (5) which must exist simultaneously. Both equalities in (5) do not exist simultaneously. The proof which is rather long, very detailed and tedious will not be given ...

7

Knots and algebras

Knots and algebras

... We use similar methods, starting with Kauman's polynomial in its Dubrovnik form [K] , again keeping a close watch on the ring used, to construct algebras whose specialisations can be identied with Brauer's algebras [B] ...

14

An Analysis of Hurricane Debby (2000) and the Impact of Vertical Shear on the GFDL Forecast Performance.

An Analysis of Hurricane Debby (2000) and the Impact of Vertical Shear on the GFDL Forecast Performance.

... Debby began as a tropical wave, which moved off the coast of Africa on August 15, 2000. The wave continued a westward motion of 10-15 knots and slowly became better organized over the open water of the east ...

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A Note on the (p, q)-Hermite Polynomials

A Note on the (p, q)-Hermite Polynomials

... (p; q)- numbers via an exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, explicit formula, recurrence relation, ...

8

The Class of (p,q)-spherical Distributions

The Class of (p,q)-spherical Distributions

... The present work extends the line of interchanging the role the notions of circle and distance play in comparison with Euclidean geometry, described inter alia in [11]. Here the ’circle’ is given by a density level set ...

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SOME RESULTS ON THE $q,k$ AND $p,q$-GENERALIZED GAMMA FUNCTIONS

SOME RESULTS ON THE $q,k$ AND $p,q$-GENERALIZED GAMMA FUNCTIONS

... the q, k- generalized Gamma function, and also in [10], Krasniqi and Merovci defined the p, q-generalized Gamma ...Γ p,q (x) and ψ p,q (x) ...

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Torus Palatinus in Taiwan Patients Receiving Peritoneal Dialysis and Hemodialysis: A Prospective Observational Study

<p>Torus Palatinus in Taiwan Patients Receiving Peritoneal Dialysis and Hemodialysis: A Prospective Observational Study</p>

... Results: The prevalence of TP in dialysis patients in this study was 31.1% (28.3% for hemodialysis and 40.3% for peritoneal dialysis). Patients with TP were younger (54.6 ± 13.4 versus 58.9 ± 14.7 years, P = ...

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Deformations of spacetime and internal symmetries

Deformations of spacetime and internal symmetries

... Quantum groups (which are algebras rather than groups) provide a generalization of familiar sym- metry concepts through extending the domain of classical group theory. Quantum groups depend on a deformation parameter ...

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