95 research outputs found
Benford's distribution in extrasolar world: Do the exoplanets follow Benford's distribution?
In many real life situations, it is observed that the first digits (i.e.,
) of a numerical data-set, which is expressed using decimal
system, do not follow a random distribution. Instead, smaller numbers are
favoured by nature in accordance with a logarithmic distribution law, which is
referred to as Benford's law. The existence and applicability of this empirical
law have been extensively studied by physicists, accountants, computer
scientists, mathematicians, statisticians, etc., and it has been observed that
a large number of data-sets related to diverse problems follow this
distribution. However, applicability of Benford's law has been hardly tested
for extrasolar objects. Motivated by this fact, this paper investigates the
existence of Benford's distribution in the extrasolar world using Kepler data
for exoplanets. The investigation has revealed the presence of Benford's
distribution in various physical properties of these exoplanets. Further,
Benford goodness parameters are computed to provide a quantitative measure of
coincidence of real data with the ideal values obtained from Benford's
distribution. The quantitative analysis and the plots have revealed that
several physical parameters associated with the exoplanets (e.g., mass, volume,
density, orbital semi-major axis, orbital period, and radial velocity) nicely
follow Benford's distribution, whereas some physical parameters (e.g., total
proper motion, stellar age and stellar distance) moderately follow the
distribution, and some others (e.g., longitude, radius, and effective
temperature) do not follow Benford's distribution. Further, some specific
comments have been made on the possible generalizations of the obtained result,
its potential applications in analyzing data-set of candidate exoplanets, and
how interested readers can perform similar investigations on other interesting
data-sets.Comment: 7 pages, 3 figures and one potrai
Multi-objective optimization of an industrial styrene reactor using Harmony Search Algorithm
Multi-objective optimization of industrial styrene reactor is done using Harmony Search algorithm. Harmony search algorithm is a recently developed meta-heuristic algorithm which is inspired by musical improvisation process aimed towards obtaining the best harmony. Three objective functions – productivity, selectivity and yield are optimized to get best combination of decision variables for styrene reactor. All possible cases of single and multi-objective optimization have been considered. Pareto optimal sets are obtained as a result of the optimization study. Results reveal that optimized solution using harmony search algorithm gives better operating conditions than industrial practice
CHARACTERIZATION OF MYCOBACTERIAL ESTRASES/LIPASES USING COMBINED BIOCHEMICAL AND COMPUTATIONAL ENZYMOLOGY
Master'sJOINT M.SC. IN INFECTIOUS DISEASES, VACCINOLOGY AND DRUG DISCOVER
How long, how high, how wide
This article describes
and reflects upon the
classroom experience
of helping a group of
children understand the
concept of length. The
activities are inspired
by the Measurement
PullOut published with
the July 2015 issue
of At Right Angle
Learning constitutional values through activities
In a democracy, the most exacting and challenging
job of a citizen is citizenship. This is so because a
citizen is responsible for selecting the government
and to use this right, the individual must be capable
of decision-making. Education plays a pivotal role
to develop this competence by helping us develop
our ability to think clearly and grasp new ideas.
An ideal and rational public discourse requires the
interest of all citizens, the availability of relevant
information to all and well-developed critical
thinking abilities among them. Education aims at
developing these critical thinking abilities in the
citizens, where each citizen can make his or her own
decisions rationally and can understand intellectual
integrity and sift truth from falsehood, facts from
propaganda; reject partiality and radicalism. An
educated mind has a scientific temperament and
faith in outcomes based on data. It has the ability
to receive and perceive new ideas
Using fun to learn
Learning in the classroom requires constant effort
from both, the teacher and the students. It requires
an environment which acts as stimuli, because of
the nature of the given task, the expectations of
the learners, the ways in which information is
presented – all these impact learning. We can easily
see the different dimensions of learning and the
way it happens with the help of examples, learning
activities and the different ways in which children
process their learnings. I realised these truths after
being with the Azim Premji Foundation for almost
three years and having visited many schools in the
district assigned to me
TLM-an obstacle or an advantage?
n the educational fraternity, we commonly use
some terms such as pedagogy, learning practices,
etc. The thing which is to be discussed as of now is a
special word known as Teaching learning Materials
or commonly known as TLMs. What does the word
TLM? What is its utility? If I go by the definition of
TLM, it means any aid that assists in teaching and
learning of students may be categorised under this
definition
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