Aneurysmal bone cyst (ABC) is a benign expansile bone tumor, most commonly involving the medulla of long bones. ABC rarely arises within the cortex or in the subperiosteal region, radiographically mimicking other conditions, in particular surface osteosarcomathat is low-grade in nature and may go secondary ABC changes, and telangiectatic osteosarcoma. Both of these are sometimes mistaken mic...

The ABC conjecture of Masser and Oesterlé states that if (a, b, c) are coprime integers with a+ b+ c = 0, then sup(|a|, |b|, |c|) < cǫ(rad(abc)) 1+ǫ for any ǫ > 0. In [2], Oesterlé observes that if the ABC conjecture holds for all (a, b, c) with 16|abc, then the full ABC conjecture holds. We extend that result to show that, for every integer N , the “congruence ABC conjecture” that ABC holds fo...

Approximate Bayesian computation (ABC) is a powerful and elegant framework for performing inference in simulation-based models. However, due to the difficulty in scaling likelihood estimates, ABC remains useful for relatively low-dimensional problems. We introduce Hamiltonian ABC (HABC), a set of likelihood-free algorithms that apply recent advances in scaling Bayesian learning using Hamiltonia...

conclusions the hindi version of the abc scale demonstrated acceptable measurement properties, showing that abc-h can be used for assessing balance confidence in hindi-speaking, community-dwelling indian older adults. it can be an assessment tool either for clinical management or research. results the normative value of abc-h total score observed in the indian older population (n = 100) was 71%...

pathologic fractures of the jaw are usually associated with aggressive, destructive lesions or malignant lesions of the jaws. aneurysmal bone cysts (abc) of the jaws are benign lesions which normally do not cause destruction to such an extent. this article reports a relatively aggressive abc of the mandible in a 19 year-old male which destroyed the buccal and lingual cortices as well as the inf...

 Numerous problems in engineering and science can be converted into optimization problems. Artificial bee colony (ABC) algorithm is a newly developed stochastic optimization algorithm and has been widely used in many areas. However, due to the stochastic characteristics of its solution search equation, the traditional ABC algorithm often suffers from poor exploitation. Aiming at this weakness o...

Data visualization is the process of transforming data, information, and knowledge into visual form, making use of humans’ natural visual capabilities which reveals relationships in data sets that are not evident from the raw data, by using mathematical techniques to reduce the number of dimensions in the data set while preserving the relevant inherent properties. In this paper, we formulated d...

abc is a simple, yet powerful, textual musical notation. This paper presents abc::dt, a rule-based domain-specific language (Perl embedded), designed to simplify the creation of abc processing tools. Inspired by the Unix philosophy, those tools intend to be simple and compositional in a Unix filters’ way. From abc::dt’s rules we obtain an abc processing tool whose main algorithm follows a tradi...