EPTIt's been a pretty slow week, I've had more time on my hands so I was able to get most of the work done this week. Probably because of not having to put down so many hours into SC2 anymore, as I've decided to take a break with SC2 for the time being, I feel that I have other prorities for now, that I have other stuff to work on. The break can be good to take now that HotS is out, to let the pro scene stabilize and attain standard play again. I've never really liked to develop my own strategies or build orders, so I think I'll let the metagame sort itself out before I jumo into the action again
I watched some of the TLS. Though the games may not have been any special in themselves, I think the really showed why BW is such a good game. I still kinda regret that I never did play it competetively. If I seek a new project, I'll probably try to do some BW. Could be a good challenge, maybe too high of a challenge?
I tried some PoE last weekend and this weekend. I played a lot of D2 (never did touch D3 though...
) and I thought it was a really good game, definitely recommend it, at least to try it when it gets released. They've organized a race system with a well-structured calendar. Kinda fun, but maybe a bit too competitive to what I am looking for!My girlfriend has had a hectic week, so we haven't found anymore time for StarCraft 2
BUT, we did try out Pocket Legends for Android. Another hack-n'-slash rpg game, but in a more friendly and casual manner than D2 or PoE. She likes it a lot, luckily, and as we can play together on out phones, it's a good game to get your partner into gaming, imo. Hopefully, it will raise her interest in gaming ^^Code S Spoilers
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I managed to catch some of the Ro8 games. Curious vs. Parting was pretty interesting to see (mainly due to the storyline!) and MC vesus Roro was pretty tense as well (especially G4!) but Taeja vesus SK was tense as fuck. I kinda suprised people have been resorting to ling/bling/muta play a lot in TvZ, which kinda suprises me, but it really creates far more interesting games. I don't think I was the only one giving out a cry of excitment when SK ALMOST blew up Taeja's PF. God, that must be a heart wrenching moment for SK
Oh well, over to the weekly mechanics!
1) What have you done this week?
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i) Topics covered
Just repetition this week, so I worked on the exercises which were to be handed in. They are due the end of next week, but I managed to get them all done last Friday! Yay!
ii) Time spent/what sessions?
3 x 2 hours of exercise working
1 x 2 hours of miscellanous work (repetition, final polish on exercises)
Just repetition this week, so I worked on the exercises which were to be handed in. They are due the end of next week, but I managed to get them all done last Friday! Yay!
ii) Time spent/what sessions?
3 x 2 hours of exercise working
1 x 2 hours of miscellanous work (repetition, final polish on exercises)
2) Problems/Exercises
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i) List of exercises
I thought that I would upload some of the exercises that I have been doing which are to be handed in. They are done in Swedish though, but most of the text is of course understandable regardless of language knowledge (assuming that you know how to follow mathematical text!).
ii) Solving problems
1)
+ Show Spoiler +![[image loading]](http://i.imgur.com/edTOip6.jpg)
*The task at hand is to find the angle between the vector BA and the plane BCD. Let's draw a picture
*n is the normal vector to the plane BCD. It is defined as:
*Right hand rule gives us the direction
*Sarrus rule gives:
+ Show Spoiler +![[image loading]](http://i.imgur.com/o4iOjWu.jpg)
*Let's now draw a picture with only n and BA:
*We want to find the angle theta. The scalar product gives:
2)
+ Show Spoiler +![[image loading]](http://i.imgur.com/TuzpqPW.jpg)
* We'll calculate the center of mass of the subareas and then we add the center of mass for all of the subareas:
*Pappus rule gives:
*The figure can be seen as a circle sector
+ Show Spoiler +![[image loading]](http://i.imgur.com/kNy0h6m.jpg)
*If we take a specific look at A3 we get this figure:
*As A3 = AT - A4 and m = (rho) x A, where (rho) is the same for all bodies in the diagram we can state the following relationship:
*We can find rGT and rG4 with the help of the center of mass for a circle sector
+ Show Spoiler +![[image loading]](http://i.imgur.com/8CcMLJX.jpg)
*rG3 is then described as:
*The center of mass for the whole figure can now be found with the following relationship:
*We can see that:
3)
+ Show Spoiler +![[image loading]](http://i.imgur.com/KB9qSoR.jpg)
*What's the value of P when N = 0?
*We don't have to find N2 or N3, because we are only interested in the rotation around point A
4)
+ Show Spoiler +![[image loading]](http://i.imgur.com/4Vpqhqe.jpg)
*Given:
*The truck is at a constant velocity, which means that it is in equilibrium, as the sum of F = sum of M = 0
*No friction is acting in A as the truck has an rear engine design
*What is the maximum value on P? => What is the greatest value of P while the truck is still in equilibrium?
+ Show Spoiler +![[image loading]](http://i.imgur.com/Bi4nkml.jpg)
*1,2 and 4 into 3 gives:
+ Show Spoiler +![[image loading]](http://i.imgur.com/wFkxZIi.jpg)
*We now plug in the values of our variables in our formula:
*If we use a calculator we get:
*We can also see that the dimension inside of the brackets must be 1, as [m]/[m] = 1.
*We can therefore conclude that if mg is a force than P must also be a force.
Hopefully, the pictures aren't to blurry. If you want me to take better pictures, I can reupload them again. At the moment, I ain't motivated enough to do so, as I do have the originals on paper
I thought that I would upload some of the exercises that I have been doing which are to be handed in. They are done in Swedish though, but most of the text is of course understandable regardless of language knowledge (assuming that you know how to follow mathematical text!).
ii) Solving problems
1)
+ Show Spoiler +
*The task at hand is to find the angle between the vector BA and the plane BCD. Let's draw a picture
*n is the normal vector to the plane BCD. It is defined as:
*Right hand rule gives us the direction
*Sarrus rule gives:
+ Show Spoiler +
*Let's now draw a picture with only n and BA:
*We want to find the angle theta. The scalar product gives:
2)
+ Show Spoiler +
* We'll calculate the center of mass of the subareas and then we add the center of mass for all of the subareas:
*Pappus rule gives:
*The figure can be seen as a circle sector
+ Show Spoiler +
*If we take a specific look at A3 we get this figure:
*As A3 = AT - A4 and m = (rho) x A, where (rho) is the same for all bodies in the diagram we can state the following relationship:
*We can find rGT and rG4 with the help of the center of mass for a circle sector
+ Show Spoiler +
*rG3 is then described as:
*The center of mass for the whole figure can now be found with the following relationship:
*We can see that:
3)
+ Show Spoiler +
*What's the value of P when N = 0?
*We don't have to find N2 or N3, because we are only interested in the rotation around point A
4)
+ Show Spoiler +
*Given:
*The truck is at a constant velocity, which means that it is in equilibrium, as the sum of F = sum of M = 0
*No friction is acting in A as the truck has an rear engine design
*What is the maximum value on P? => What is the greatest value of P while the truck is still in equilibrium?
+ Show Spoiler +
*1,2 and 4 into 3 gives:
+ Show Spoiler +
*We now plug in the values of our variables in our formula:
*If we use a calculator we get:
*We can also see that the dimension inside of the brackets must be 1, as [m]/[m] = 1.
*We can therefore conclude that if mg is a force than P must also be a force.
Hopefully, the pictures aren't to blurry. If you want me to take better pictures, I can reupload them again. At the moment, I ain't motivated enough to do so, as I do have the originals on paper
3) For Next week
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i) What topics?
Newton's laws have been scheduled for next week, so probably will mostly be about practical applications with Newton's laws.
Newton's laws have been scheduled for next week, so probably will mostly be about practical applications with Newton's laws.
If you have any questions, I'll be happy to (try to) answer them!
Take care everyone, have a week!
