We provide an elementary proof of the quantum adiabatic theorem.

Abstract. We present an elementary proof of the cross theorem in the case of Reinhardt domains. The results illustrates the well-known interrelations between the holomorphic geometry of a Reinhardt domain and the convex geometry of its logarithmic image. 1. Introduction. Main

A constructive and elementary proof

An elementary proof is given of the lifting theorem for a complete totally finite measure space, which does not use the martingale theorem or Yitali differentiation. Introduction * In this paper we give a proof of the lifting theorem for a complete totally finite measure space, which involves only

Elementary proofs of classical theorems on pricing perpetual call and put options in the standard Black-Scholes model are given. The method presented does not rely on stochastic calculus and is also applied to give prices and optimal stopping rules for perpetual call options when the stock

elementary probabilistic techniques. Computer Science Division, UC Berkeley. Email: dasgupta@cs.berkeley.edu. y Computer Science Division, UC Berkeley. Email: angup@cs.berkeley.edu. Supported by NSF grant CCR-9505448. 1 Introduction Johnson and Lindenstrauss [6] proved a fundamental result, which said

this theorem using elementary probabilistic techniques. © 2003 Wiley Periodicals, Inc. Random Struct. Alg., 22: 60–65, 2002

ABSTRACT. In this note, we give an elementary proof of Blundon’s Inequality. We make use of a simple auxiliary result, provable by only using the Arithmetic Mean- Geometric Mean Inequality.

The hook-length formula is a well known result expressing the number of standard tableaux of shape λ in terms of the lengths of the hooks in the diagram of λ. Many proofs of this fact have been given, of varying complexity. We present here an elementary new proof which uses nothing more than

In 1933, Borsuk conjectured that any bounded d-dimensional set of nonzero diameter can be broken into d + 1 parts of smaller diameter[1]. This conjecture was disproved for large enough d[2, 3, 4, 5, 6, 7], though it is true for low dimensional cases. The paper provides an alternative proof for d