Wednesday, November 2, 2011

Portions from the thesis



Glaciers are melting but the rate in last 10 years are alarming (around 145% increase in the rate). However the uncertainty in the values have not been analysed.



The tiny black speck is me on the glacier (thanks to my supervisor for this photograph). Explains the vastness of the glacier and an insignificant me.


:-)

S

A nice diagram from masters thesis



One of my favorite diagrams from the masters thesis, generated from the model of my supervisor. However I could figure out the meaning of this strange representation of the glacier data and model output and analyze it.

;-)

S

A strange analysis

A strange thought recently came to my mind - to represent different cycles of different scales (small scale cycles within medium scale cycles, which are again within large scale cycles) in such a way that all the results are positive (individual and cumulative).

I think there are endless ways to do this - however I tried to do it mathematically. I tried write a single mathematical function and managed to compile one using exponential and sine functions

f(t) = [Base1 sin (t*360/A)]*[Base2 sin (t*360/B)]*[Base3 sin (t*360/C)]

The Base controls the amplitude of the cycles while the constant factors control their frequency.

However the single mathematical function did not give the result. But the moving average trend-line revealed the cycles.


Big cycles, medium cycles, small cycles - as I had wanted.

Enough of such strange analysis.


:-)

S


Geometry: on space, structure and form

Use of Mathematics in form and proportions

I took a simple geometric proportion (1:2:4) and two geometrical figures (cube and sphere) . I juggled a bit with these and ended up in modern reconstruction of a traditional mosque structure (part of undergraduate thesis).

Mathematics, especially geometry is so helpful in ordering spaces and in structuring.












Some romanticism was involved in this blog as I suddenly remembered the old stuff I worked on during undergraduate - geometry, spaces, forms, structures and plans. :-P

However I have learned, through a sequence of fortunate and unfortunate events, geometry and also mathematics which is related to composition and arts is something very difficult, too vague and is beyond my scope.

:-)

S

Nature to number: a fragment from thesis



Point specific glacier elevation changes over the glacier measured at different time periods (F) - important data for mathematical modelling of the mass balance of the entire glacier

deep blue is ice, light blue is snow.

:-)

Sovik