The notion of our common ancestors has received considerable attention of late in both the scientific and lay communities. Principally this attention has focused on ‘Mitochondrial Eve,’ defined to be the woman who lies at the confluence of our maternal ancestry lines, and who is believed to have lived 100,000–200,000 years ago. More recent attention has been given to our common paternal ancesto...

The past decade has witnessed an extraordinary growth in both the demand for medical rehabilitation services and the number and variety of facilities and services available. The perception of sometimes ill-defined therapeutic end points, coupled with somewhat open-ended reimbursement, produce actuarial malaise and clinical concerns, which will be explored elsewhere in this month’s issue of the ...

Farach recently gave a linear-time algorithm for constructing suux trees for integer alphabets, which solves a major open problem on index data structures. We present a new and somewhat cleaner algorithm for constructing suux trees for integer alphabets in linear time.

A well-known open problem of Muckenhoupt–Wheeden says that any Calderón–Zygmund singular integral operator T is of weak type (1,1) with respect to a couple of weights (w,Mw). In this paper, we consider a somewhat “dual” problem: sup λ>0 λw { x ∈Rn : |Tf (x)| Mw > λ } ≤ c ∫

As an effective solution to protect the privacy of the data, homomorphic encryption has become a hot research topic. Existing homomorphic schemes are not truly practical due to their high computational complexity and huge key size. In 2013, Coron et al. proposed a batch homomorphic encryption scheme, i.e. a scheme that supports encrypting and homomorphically evaluating several plaintext bits as...

In recent years, image sharing method has become a popular technique due to the characteristics of security and simplicity. However, pixel expansion and bad image contrast are two common disadvantages that must be improved. This paper proposes an image sharing method to improve the problems mentioned above. First, the homomorphic encryption is utilized to enhance the security of digital images....