Study Shows that Cephalopods Travel Faster in Air than in Water

flying-squid

A new study, using high-speed photography, shows that squids can save energy by flying rather than swimming. Some species of Cephalopoda can launch themselves into the air using the jet-propulsion system that they use to swim. Until now, researchers have thought that this sort of ‘flight’ was used by Cephalopoda to avoid predators, but the new study shows that the animals actually conserve energy when using this way to travel long distances.

Read more @ SciTechDaily

New Models Hone Picture of Climate Impact on Earth

wave-cloud-model

While climate models can forecast temperature changes and precipitation, they struggle to indicate how climate change will affect the factors that make Earth habitable, such as the availability of water and food.

Read more @ SciTechDaily

Mathematics and LEGOs: The Deeper Meaning of Combined Systems and Networks

Mathematics LEGO Power Law

You’d expect LEGO kits to be somewhat immune from mathematics, but that’s not the case, as Samuel Arbesman of Wired’s Social Dimension demonstrated most recently. However to start out with, it’s necessary to think how humans combine things together, in general.

Read more @ SciTechDaily

Wanna Get Lucky? Better Buy An iPhone

A new study shows that iPhone users have more sex than other cellphone users. I don’t know what could be a better endorsement than this. I’m just waiting to see the new iPhone sexy ads, “Wanna get laid? Buy an iPhone (and by the way, we just increased the price to $499.)”

iphone cellphone users sex android laid

Read more @ Technabob

Facebook Depression

Researchers at Stony Brook university in NY have published a study about depression linked to Facebook usage. Too much FB leaves you prone to anxiety and depression.

East And West Cultural Differences

Some more differences between Easterners and Westerners.

Mathematics And Photos And Pens

It’s taken me a little while to upload my latest photos from this week, sorry about that. It’s the end of the semester, and I’m busy with school. I’m feeling pretty good about myself. I’ve done a lot in these last few days and I feel that my mathematical intuition has returned almost in its entirety.

In Analysis I, I’ve worked hard and spent a lot of time on problem sets. Since we’ve started with the study of mathematical series, I’m confident that I’ll do well in the last exam. I think that I’m maintaining a B+ average this semester. It’s not fantastic, but it’s a lot better than when I was in school the last time.

Also, I’ve had to reconsider my note taking system. I bought two 300 page spiral notebooks for my four courses at the university. The system isn’t working out. My notebooks are disintegrating. I’ve bought a compact accordion folder with 13 subjects. I’ve started taking notes on ruled sheets of paper instead. It makes things more compact and ergonomic.

At the same time, I’ve bought a Blueline A91 Lab notes book. It’s got 200 pages and has a solid binding. I’m using this as my research notebook, noting interesting things in mathematics. I’ve started out by writing review sheets for my Linear Numerical Algebra class. I plan on working with one of the professors on a little project during the summer.

It’s taken me a while to find the right writing pens. I’ve settled on a Staedtler triplus fineliner for the moment. I’ve used a set to write for most of the semester, but find that the tip recesses after a while due to my writing. The tip isn’t rigid enough. I bought a Pilot V10 Grip and was disappointed with it. Since I find that felt tip pens write a lot better, I’ll get a few Pilot V Razor Point Marker Pens next week. They should to the trick.

Naturally, I’m not using my drawing pens to write. That would be a waste. When I was in the campus store at the visual arts faculty, I was a bit confused by the choices that I had. There were a lot of pens to choose from.

Team Work

Today I was doing a team assignment in Analysis I with four other guys. In our usual team, one guys had abandoned the class. Another guy joined us. He’s annoying because he speaks very loud and he’s about 50 years old. I don’t have anything against older people, but he kept trying to talk over and to push his point across while I was completing a proof [proving that a non-specified function was continuous on an arbitrary interval (-δ,δ)]. In the end, it seemed to me rightfully that the work was only done by two people.

Rémi and I also copied our work to give it to the professor. [these team assignment last one hour and we have to hand in our work at the end of the class]. I wasn’t a happy camper, especially since I stayed the extra five minutes to make sure that my proof was flawless. Everyone else had left. I don’t fault Rémi, he works had and did his part. But the other two idiots didn’t do squat. In fact, one of them asked the professor to explain something that he hadn’t understood during class, the continuity of a function on a point. I was pissed, because he hadn’t done anything.

Can you imagine trying to complete a mathematical proof on paper, while another guy is almost screaming in your ears? I had my hands on my ears in an effort to focus on what I was doing. That guy didn’t contribute anything to the work. He distracted us mostly. I’ll have to talk about this with Rémi.

I’ve included the problem and the answer, written in M$ Word 2007 thanks to M$ Equation, converted into PDF then into an image.

Midterms

Function sin cos tan csc sec cot
sinθ =  \sin \theta\  \sqrt{1 - \cos^2\theta}  \frac{\tan\theta}{\sqrt{1 + \tan^2\theta}}  \frac{1}{\csc \theta}  \frac{\sqrt{\sec^2 \theta - 1}}{\sec \theta}  \frac{1}{\sqrt{1+\cot^2\theta}}
cosθ =  \sqrt{1 - \sin^2\theta}  \cos \theta\  \frac{1}{\sqrt{1 + \tan^2 \theta}}  \frac{\sqrt{\csc^2\theta - 1}}{\csc \theta}  \frac{1}{\sec \theta}  \frac{\cot \theta}{\sqrt{1 + \cot^2 \theta}}
tanθ =  \frac{\sin\theta}{\sqrt{1 - \sin^2\theta}}  \frac{\sqrt{1 - \cos^2\theta}}{\cos \theta}  \tan \theta\  \frac{1}{\sqrt{\csc^2\theta - 1}}  \sqrt{\sec^2\theta - 1}  \frac{1}{\cot \theta}
cscθ =  {1 \over \sin \theta}  {1 \over \sqrt{1 - \cos^2 \theta}}  {\sqrt{1 + \tan^2\theta} \over \tan \theta}  \csc \theta\  {\sec \theta \over \sqrt{\sec^2\theta - 1}}  \sqrt{1 + \cot^2 \theta}
secθ =  {1 \over \sqrt{1 - \sin^2\theta}}  {1 \over \cos \theta}  \sqrt{1 + \tan^2\theta}  {\csc\theta \over \sqrt{\csc^2\theta - 1}} \sec\theta\  {\sqrt{1 + \cot^2\theta} \over \cot \theta}
cotθ =  {\sqrt{1 - \sin^2\theta} \over \sin \theta}  {\cos \theta \over \sqrt{1 - \cos^2\theta}}  {1 \over \tan\theta}  \sqrt{\csc^2\theta - 1}  {1 \over \sqrt{\sec^2\theta - 1}}  \cot\theta\

I’m busy studying for a midterm tomorrow morning. It’s a Teaching College Level Mathematics class. The teacher is interesting and younger than I am. He obtained his Masters a year or two ago. My program director suggested that I take this class to ease myself back into mathematics.

After the exam, I’ve got a numerical analysis laboratory. I start the midterm break afterwards. However, it’s going to be a busy time. Coming back from the break, I’ll have three more midterms within two weeks, three homework to give in (big ones involving a lot of coding).

I’m really enjoying the time here. I’ve really gotten into mathematics again. I’ve got a lot to do in numerical analysis and numerical linear algebra. Both classes involve coding in MATLAB.

My teaching hours are most probably going be at around 14 starting next week. That’s almost as much as I wanted. It’s been rough, but I managed to get by. Next semester, I want the least amount of distractions while I study.