School of Mathematicsand Statistics Faculties of ArtsEconomics, Education and ...

It starts with a revision of linear algebra concepts fromjunior mathematics and MATH2961, and proceeds with a detailed investiga-tion of inner product spaces over the real and complex fields. ... Further topics in linear algebracovered in this unit
www.maths.usyd.edu.au/u/UG/IM/HandBook/inter2005.pdf

Luke Nottage – Page 3 – Japanese Law and the Asia-Pacific

He specialises in international dispute resolution, foreign investment law, contract and consumer (product safety) law. ... in arbitration), and requiring express written consent from parties for Arb-Med (given natural justice concerns).
japaneselaw.sydney.edu.au/author/lnot8458/page/3/

Japanese Law and the Asia-Pacific – Page 6 – Japanese Law in Asia-Pacific Socio-Economic Context

But such ACL product liability claims, requiring individuals to prove a “safety defect”, are becoming proportionately fewer. ... A third was considerable harm from unsafe consumer products. The ACCC identified 780 deaths and 52000 injuries annually.
japaneselaw.sydney.edu.au/page/6/

farajollahi-3.dvi

any reference to the concept of an inner product or a Hilbert space. ... Apart from giving a procedure for finding quantum state, this approachalso provides a natural probabilistic interpretation of this state space withoutreference to any particular
www.maths.usyd.edu.au/u/pubs/publist/preprints/2004/farajollahi-3.pdf

A local limit theorem for random walks on thechambers ...

mij = 1 saythat the product of the reflections si and sj is a rotation by 2π/mij. ... Definition 1.2. The length (w) of w W is(w) = min{ 0 | w can be written as a product of generators in S}.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2009/parkinson-21.pdf

sols2004.dvi

This last expression may be written (3k 1)a/b, where b is the product of all the terms k j and 2k 1 j,for j = 1,. , ... It would perhaps be natural to allown = 0, and the empty partition of 0, and decree that the label sum of this partition is 0.
www.maths.usyd.edu.au/u/SUMSCOMP/sols2004.pdf

paper3.dvi

If G = SL2(k) then X+ may be identified with the natural numbers. ... Hence. the map δm1 : HomG1((2b), Mm) HomG1((2b), Im) is the natural injection into Am and.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2004/parker-36.pdf

Topology Proceedings 36 (2010) pp. 229-247: Counting Overlattices for Polyhedral Complexes

H sT. Gs. The monomorphisms between such local groups are natural inclu-sions. ... sT ′,s =tGs G. sT,s=t. Gs. is the natural inclusion. For each T ′ T with t T ′, the monomor-phism.
www.maths.usyd.edu.au/u/pubs/publist/preprints/athomas_lrhb.pdf

Complex Analysis (620-413):Riemann mapping theorem and Riemann surfaces Stephan ...

Example: The Riemann surface of. z comes with a natural two-to-one covering maponto C{0}. ... An elliptic curve E = C/Λ has a natural covering p : C E defined byp(z) = zΛ; this map is infinite-to-one.
www.maths.usyd.edu.au/u/tillmann/2007-complex/ComAna-Lectures.pdf

LARGE DEVIATIONS AND TRANSITION BETWEEN EQUILIBRIA FOR STOCHASTIC LANDAU-LIFSHITZ ...

where F R3 is a fixed vector and F m is an inner product in R3. ... 0,T ]. We will denote by. (F 0t). the natural filtration of this Wienerprocess.
www.maths.usyd.edu.au/u/pubs/publist/preprints/2015/goldys-7.pdf