# Existsa

### Tensor-Rank and Lower Bounds for Arithmetic Formulas

One component of our proof is anew approach for homogenization and multilin-earizationof arithmetic formulas, that gives the following results: We show that for any n-variate homogenous polynomialfof degreer, if there **existsa** (fanin-2) formula of sizes and depthdforfthen there **existsa** homogenous ...

www.wisdom.weizmann.ac.il

### Locally Compact Spaces

If Xis locally compact and Hausdorff, x 2 X, and Uisany neighborhood ofx, then there **existsa** neighborhood Vofxsuchthatthe closure ¯ Vis compact and ¯ V*U. Remark.

www.math.uiowa.edu

### Section2.4: The Precise Definition of a Limit

We say that the limit off (x) approaches Las xap-proachesaand write lim x! a f (x) =L ifforany">0, there **existsa***>0 such that|x a|<*guarantees that|f (x) L|<".

faculty.up.edu

### A few more cyclic Steiner 2-designs

In general, given k and, to establish the spectrum of value of v for which there **existsa** ( v;k; )-CBIBD is a very dicult problem. It has been solved for k =3and =1 byPeltesohn[24]and for k =3and > 1 by Colbournand Colbourn[19].

www.emis.ams.org

### Sample Test1 (Fall 2003)

(4) ... for every">0 there **existsa** K>0 such thatjf (x) Lj<"for allx 2 D f withx>K. (5) ... for every">0 there **existsa** K>0 such thatjf (x) Lj<"for allx 2 D f withx<K (6) ... for every K>0 there **existsa** >0 suchthatf (x) >Kforallx 2 D f \ (a; a+) withx6=a.

www.math.binghamton.edu

### VALENTINFERENCZI, Universit´ePierreetMarie Curie-Paris 6 ...

This gives another proof of a result of E. Odelland T. Schlumprecht answering a question of J. Bourgain: there **existsa** separable reflexiveBanach space which is universal for the class of separable uniformly convex spaces.

cms.math.ca

### EC 813AMACROECONOMICS PROBLEM SET 4. PLEASE HAND IN ON FRIDAY ...

There **existsa** 1:1 technology that allows to transform one fruit into one machine and a concave technologyF (K) that produces fruits with machines.

www.msu.edu

### Proof of Cesaro Means

Proof Recall the meaning oflim n→∞ b n = a : For every δ> 0 there **existsa** n δ such that, for every n>n d elta , *b n −a*<δ . Now, sincelim n→∞ a n = a , we know that ∀, ∃n * such that ∀n>n *, |a n −a|<.

www.ee.columbia.edu

### We survey the current state of knowledge of the subject.

Then there **existsa** reversible HDSin H. Ma [36] constrained the structure of certain Sylowsubgroupsof an abelian group containinga reversible HDS, using Cayleypolynomial digraphs: Theorem 4.5 Suppose there **existsa** reversible HDS in an abelian group G whoseSylowp-subgroup has exponentpb, where pis prime ...

www.hpl.hp.com

### Fujisaki-Okamoto Hybrid Encryption Revisited

Instead of this, it is assumed that there **existsa** recognizable set ¯ ZsuchthatZ pk Z pk, and that the partial inverse off pk can also be computed (in polynomial time) on elements of the extended set Z pk.

www.dgalindo.es

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