Archive for the ‘Uncategorized’ Category

Maths in my town

May 29, 2010

I live in a little beautiful town, Santander in the north coast of Spain and I want to give my congratulations to a local mathematician Francisco Santos who has refuted the Hirsch conjecture.

Conjecture   Let $ P $ be a convex $ d $polytope with $ n $ facets. Then the diameter of the graph of the polytope $ P $ is at most $ n-d $.

What haven’t been proved for d≥4 and remains unresolved for 50 years.

The proof will be presented at the 100 Years in Seattle (The mathematics of Klee and Grunbaum) conference in end-July, this year.

But there is even an entry in the Wikipedia and a lot of references in the web,  what as I’ve read in the local newspaper interview, astonished Francisco Santos for such a quick reaction in the emedia. 

Here you have a part of this work published a few months ago December 2009

My humble congratulations.

Why Soap bubbles are possible?

May 29, 2010

How many times since I was a child I`ve got distracted while I wash the dishes by  making soap bubbles? so many, because they are enigmatic, like the most beautiful things in nature. Why his shape is so perfectly espherical?Why they shine in iridescent colors? What is the cause of the way they  arrange when they stick each other together? How could I make they take longer to explode? 

 I give you some formal mathematical expressions that need to be commented but give an idea about how something so simple hides complexity.

For a bubble of radius r, the pressure from the film surface tension is given by the Laplace-Young law

(1)

 

where and are the inner and outer radii of the bubble, respectively, and is the surface tension of the fluid. Letting r be the average of and (actually, ) gives

(2)

 

About the sound the bubble make when it explode there is another equation for the natural frequency

given in the following expression:

where:

gamma is the ratio of specific heat of the fluid

P sub zero is the steady state pressure

R sub zero is the steady state radius

rho is the density of the fluid

And here the instant when the subject of study disappear

Some thing else to think about….

Laser light

May 4, 2010

 

Let me explain what laser is in a few words.

The word laser is an acronym for Light Amplification by Stimulated Emission of Radiation. 

Visible light is a mixture of different wavelengths

Laser light is the result of filter one of this wavelengths and boost his intensity by rebooting into a cavity wich  length between the mirrors inside, is a multiple of the  wavelength  in order  to generate constructive interactions. 

The source of the light, the way to increase the intensity, and the materials used make the difference in the numerous  lasers developed.

 

Origami is not only for fun

April 20, 2010

Can you do a paper bird? perhaps you can find new applications to this enterteining hobby.

In March of 1995, Japanese scientists used origami concepts to pack and deploy a solar power array in the research vessel called Space Flight Unit (SFU). On Earth, the solar array was folded into a compact parallelogram, and then in space, it was expanded into a solar sail. The method of folding the solar panels is called “Miura-ori”, in honor of Koryo Miura, a professor in Tokyo University, who developed the fold.


How it works

Vulcanology

April 15, 2010

The earth is alive, so it moves.He has a very hot heart that some times comes to his surface. That it’s my poetic way to describe a volcano,but the consequences to animals and the vegetation are no so kind.
There is a part of  physics that apply its principles to understand and prevent the aspects  of volcano’s eruptions named vulcanology. There have been sadly famous eruptions along the history that cause death and destruction.
But vulcanology has each day more sophisticated methods to predict the seismic activity.
Last night in Iceland the volcano Eyjafjallajokull  has erupted.

Eyjafjallajokull volcano is situated  160 km from Reykjavik, and shares the name(I’m spanish and Eyjafjallajokull seems to me the onomatopoeia more than the name) with a glacier of 107 km² , one of the smallest in the island if we compare it with Vatnajökull of 8,100 km²

It’s not a good day to visit the place but here is the site of the hiking touristic expeditions, just in case someone wants to see the changes  last eruption made and that I hope not take to long to stay calm again without any injured.

http://www.arcticrafting.com
I’ve found also some one who was there and tell us the experience would you like to see a volcano erupting?

One of the last developments in vulcanology is an electronic  nose that use a little mass spectrometer.

This nose can “smell” helium in the fumes of the volcano what is a sign of an imminent eruption.  This spectrometer is placed in the air-craft of a plane wich can smell out the zone.

Here a presentation part of the project AVEMS

Nanonabla

April 13, 2010

A new word that I hope will be meaningful in the science world

Nanonabla

It seems to me a good idea to join this both concepts used in physics the nabla operator and the submultiple nano used in most of the new research lines, at nanoscoscopic scale.

Welcome to Nanonabla

April 12, 2010

Hello!

This pretend to be a place to enjoy science, and discover how it improves each aspect of our lifes.

I hope you’ll find interesting the information

Thank you for your visit!