We consider the fractionally integrated ARFIMA Processes with seasonality s, denoted by SARFIMA(0, D, 0)s. This work presents a closed formula for the Durbin-Levinson’s algorithm relating the partial autocorrelation and the autocorrelation functions of these processes. In order to obtain the closed formula we show a hypergeometric identity, namely

We improve the lower bound on the extremal version of the Maximum Agreement Subtree problem. Namely we prove that two binary trees on the same n leaves have subtrees with the same ≥ c log log n leaves which are homeomorphic, such that homeomorphism is identity on the leaves.

Health is a state of homeostasis of four principle kinds, namely, biochemical, physiological, psychological, and social. In this article, we complete this theory with a fifth element, namely, spiritual balance. Existential attitudes have been found to be closely related to identity formation, moral development, value-related attitudes, personal goals, and lifestyle choices. Meaning in life and ...

By combining the standard units of measurement (namely, length, time and mass) and the usual kinematical vectors (namely, position, velocity and acceleration), by means of the dot and cross products and the Langrange’s identity, two significant concepts: ‘maccel’ and ‘energy’ are regenerated and a new quartet of fundamental identities is deduced. Next, basing in a sextet of ‘general properties’...

The Leau-Fatou flower theorem [8] completely describes the dynamic behavior of 1−dimensional maps tangent to the identity. In dimension two Hakim [12] and Abate [1] proved that if f is a holomorphic map tangent to the identity in C and ν(f) is the degree of the first non vanishing jet of f − Id then there exist ν(f)− 1 robust parabolic curves (RP curves for short), namely attractive petals at t...

Considerable research has demonstrated that fair procedures help improve reactions to decisions, a phenomenon known as the fair process effect. However, in the present research, the authors identify when and why objectively fair procedures (i.e., receiving voice) may not always improve justice perceptions. Findings from 2 studies (Ns = 108 and 277) yield support for the proposed identity violat...

We report on an experiment to investigate the top-down effect of exogenous social identity cues on a multiple-identity tracking task, a paradigm well suited to investigate the processes of binding identity to spatial locations. Here we simulated an eyewitness event in which dynamic targets, all to be tracked with equal effort, were identified from among a "crowd" of 8 faces, as an assailant, by...

Social identities merit special treatment in realist ontologies. Their ontological status is unsettled, so we should model them in a manner that is agnostic with respect to their ontological status. Nevertheless, there is a clear criterion for determining whether a specific person has a particular identity, namely, whether that person asserts that they do. This social act forms the basis for a ...

We define the problem “identity check”: Given a classical description of a quantum circuit, determine whether it is almost equivalent to the identity. Explicitly, the task is to decide whether the corresponding unitary is close to a complex multiple of the identity matrix with respect to the operator norm. We show that this problem is QMA-complete. A generalization of this problem is “equivalen...

In this paper we describe a new behavioural biometric technique based on human computer interaction. We developed a system that captures the user interaction via a pointing device, and uses this behavioural information to verify the identity of an individual. Using statistical pattern recognition techniques, we developed a sequential classifier that processes user interaction, according to whic...