Saturday, 13 August 2016
MATHEMATICS & THE ENVIRONMENT by KAINAT MUNIBA KHAN
We see a diversity of waves in our everyday experience.
Electromagnetic waves carry television and radio to our homes,
ultrasound waves are used to monitor the growth of a baby in the
mother's womb, and a variety of waves on the surfaces of rivers,
lakes and oceans affect the coastal environment. Mathematical
models help us understand these disparate phenomena.
Many wave phenomena are characterized by a simple oscillation
like a hand-waving greeting. Seen from across a football stadium,
such a wave executed by human bodies appears to propagate around
the stadium, and this is how sound waves carry your voice across a
room. Other wave phenomena are more complex, often involving
nonlinear interactions.
A special type of wave which can propagate over long distances
without significant dispersal, the solitary wave, was first
observed by Scott Russell in 1844 on the surface of a canal. Often
initiated by mid-ocean earthquakes, but also susceptible to
creation by human error, similar waves propagate across oceans at
the speed of a commercial jet and cause devastation when they
collide with solid shores. Dubbed the tsunami by the Japanese who
must contend with their destructive effects, these waves can
propagate undetected due to their large wavelength and small
amplitude. However, decreasing depth near a shoreline causes them
to transform into huge waves that can inundate a coastal region.
Their special form allows them to move over great distances without
being dispersed as quickly as other waves.
Mathematics plays a key role in environmental studies, modeling,
etc. Basic mathematics - calculus, percents, ratios, graphs and
charts, sequences, sampling, averages, a population growth model,
variability and probability - all relate to current, critical
issues such as pollution, the availability of resources,
environmental clean-up, recycling, CFC's, and population growth.
A Pakistani Mathematician Muhammad Naveed Jafar recently write an article on
'APPLICATION OF SACNHEZ APPROACH TO DISEASE IDENTIFICATION USING TRAPEZOIDAL FUZZY NUMBERS' and now a days he is working on mathematical envoirnmental science , here the picture of that pakistani Mathematician is
Fred Roberts - Department of Mathematics, Rutgers University
Moving Traffic So As To Use Less Fuel and Reduce Pollution
Two of the ways in which mathematics is used in traffic
management are in the phasing of traffic lights and in
the design of patterns of one-way streets. Mathematical
methods first developed in the early stages of
sequencing the DNA molecule have turned out to be useful
in deciding when to give different streams of traffic a
green light. Related mathematical methods are useful in
deciding how to make streets one-way so as to move
traffic more efficiently.
The health and welfare of Earth relies in large part on the
ability to accurately understand and interpret mathematical
environmental data in critical areas, such as pollution, global
warming, recycling, population growth, and weather predicting. At
a national mathematics conference held earlier this year,
mathematicians reported on their research in these and other
environmental areas. They also reported on new undergraduate
courses being offered at mathematics departments which focus on how
to study environmental issues.
Celebrations of Mathematics Awareness Week will feature
proclamations from many of the nation's governors, legislators, and
mayors. Colleges and universities across the country have planned
competitions, exhibits, demonstrations, lectures and other events
to mark the week.
The power and beauty of mathematics and the environment are
symbolized in the ocean wave, featured on this year's poster and
accompanying card. Included is the solitary wave equation, based
on Scott Russell's observations of the surface of a canal in 1844.
Mathematics Awareness Week is coordinated by the Joint Policy
Board for Mathematics which represents three national mathematics
organizations, the American Mathematical Society, the Mathematical
Association of America, and the Society for Industrial and Applied
Mathematics.
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Nice work by mathematician
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