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Akano

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Blog Entries posted by Akano

  2. Akano
    It's finals week at my grad school, but since I didn't take any classes this semester, I have no exams to study for (except my prelims, which are at the end of the summer ). I am, however, holding office hours for my students before they take their exams, so I'm not without stuff to do.
     
    I also went to Philly BrickFest two weekends ago, but I was only there for a couple hours since I had to leave for choir rehearsal. I did snap some pics, which will hopefully end up on my Brickshelf at some point. Maybe.
     
    In other news, I'm still obsessed with quantum mechanics and have been playing around with various mathematical things associated with it, like deriving the ladder operators and matrix elements for the quantum harmonic oscillator, deriving formulas for coherent states, and trying to find out what a true Hufflepuff is, anyway deriving coordinate transformations to the center of mass frame of two particles. Fun fun.
     
    (This is the part where you all look at me like I'm mad, and I reply with an expression like this: 8D)
     
    So, not too much going on with me right now, but I can't complain.
     

  3. Akano

    My D&D Characters

    By Akano,

    So, recently I told you all that my brother, KK, has come to stay with me this summer and that we've started a Dungeons and Dragons campaign in the land of Hyrule, set some 50 years or so after the events of Majora's Mask. We recently just dealt with some undead necromancy in the Kakariko graveyard and are waiting for orders from the King of Hyrule on where our party will travel for our next mission. KK has also gotten me into the wonderful webcomic The Order of the Stick, which lampshades and parodies the Dungeons & Dragons universe and gameplay. I have since made my player characters in the style of OotS's comic design and wish to share them with you, my lovely reader.
     
    Atlov
     
     



    Atlov is a Hylian wizard who specializes in the Storm Domain (bonus points to those who figure out where his name comes from). He aspires to use his wizard talents as a servant of the Royal Family of Hyrule.
    Stats
    Lawful Good, Level 2 Wizard, 12 HP, AC 12
    Str: 10
    Dex: 14
    Con: 15
    Int: 16
    Wis: 14
    Cha: 13
     
    I'm planning to take a level in Cleric with Atlov after I get my level 2 Wizard spells, since it will give him a nice diversity and allow him to heal himself in battle. He currently worships Nayru, but I think that will change, a) because the Hyrule campaign thingy we're basing our game on doesn't give Nayru many good Cleric domains, and b) because while Nayru is the goddess of wisdom, it may make more sense to worship Hylia (since he wants to serve the Royal Family) or not have a preferred deity (since he may feel that they're all equally important).
     
    Ralu
     
     




    Ralu is a Zora bard from Zora's Domain. He enjoys traversing Hyrule and gathering new stories to tell through the soothing tones of his fish bone guitar. The diplomat of the group, since his Charisma is out the wazoo.
    Stats
    Chaotic Good, Level 2 Bard, 15 HP, AC 13
    Str: 11
    Dex: 11
    Con: 16
    Int: 15
    Wis: 9
    Cha: 16
     
    Zoras get a penalty to strength, and I rolled a bad Wisdom score, but fortunately he doesn't need it too badly. Ralu worships Farore, since he's Chaotic rather than Lawful (otherwise I would have had him worship Nayru). I haven't developed his character too much yet, so we'll see where I take him during our journey.
     

  4. Akano

    Dear Chairman...

    By Akano,

    I love watching series over and over again to see if there are any subtleties the writers threw in that I never noticed during my first viewing. However, I rarely find a series that, when I watch it, I get the same feeling of suspense, the same feeling of revelation, as I do when I watch Red vs. Blue Season 6: Reconstruction.
     
    If you haven't seen Reconstruction yet, be warned that there will be spoilers in this entry.
     
    What is it that's so great about this particular season of a very comedic and ridiculous take on the Halo universe? Well, let's start with the premise of Red vs. Blue. We have two teams of ridiculously inept soldiers who are "at war" with each other for what they believe is the fate of the universe. Being the ineffective soldiers that they are, their battles usually end in whacky hijinks and the exchange of insults, and they very much keep those personalities in Season 6. A brief summary of the characters and their personalities:
     
    Red Team
     
    Sarge - Gruff and regimented leader of the Red Team, older, comes up with convoluted plans and ridiculous tactics. His hate for the Blues is only surmounted by his hatred of Grif.
     
    Grif - Lazy comic relief who is smarter than he looks, just unmotivated. Has a sort of love/hate relationship with Simmons.
     
    Simmons - The nerd of the Red Team, enjoys math, sucks up to Sarge every chance he gets.
     
    Lopez - The Red team's robot who can only speak (poorly translated) Spanish. Deadpan snarker.
     
    Donut - (absent from Reconstruction) Guy who wears pink armor and is rather effeminate.
    Blue Team
     
    Church - Self-appointed leader of the Blue Team
     
    Tucker - Lazy member of Blue Team who only thinks about picking up chicks.
     
    Caboose - The token cool dude of Blue Team. Probably the most popular character on the show for his ridiculous lines.
     
    Tex - A special ops soldier and Church's ex-girlfriend. The only soldier who can actually do something.
    Now, mix these characters with Agent Washington, a completely serious special ops soldier (like Tex) with no tolerance for humor. Surprisingly, this works extremely well (considering the number of ways they could have screwed this relationship up). Together, they are all trying to find a new threat known as the Meta who is killing off Freelancer agents (like Tex and Wash) to obtain their armor abilities and AI, which help them in battle.
     
    Then there is the overarching banter between the Director of Project Freelancer and the Oversight Sub-Committee Chairman. These conversations open every episode in the form of audio letter and alternate between the two, and they illustrate one of the most awesome passive-agressive power struggles I've ever witnessed in any series (and they are never on screen throughout the entire season!). While brief at the beginning of each episode, the subject of the dialogue, while at first seems unrelated, is actually intertwined with the entire motivation of the events of the season.
     
    And if that didn't seem to make things come full circle, the big reveal in the season further seals the deal. When I watch this one moment when Washington fully reveals why the Reds and the Blues were stuck in the middle of a boxed-in canyon in the middle of nowhere, why these Freelancer AI have plagued them and caused all their problems from the get go, and why he needs to put a stop to what Project Freelancer has done and bring them to justice, I am stunned. I always watch the scene and marvel at how perfectly everything is drawn together. I get the same goosebumps during each subsequent viewing of that scene that I got the first time I watched it. The reveal is always fresh; it always keeps me on the edge of my seat; it never gets stale, and that is why I consider this the crowning moment of the entire Red vs. Blue series.
     
    And I can't think of any other series that does that to me.
     

  5. Akano

    Professor Akano

    By Akano,

    Over the past couple of months I visited and interviewed at a college interested in hiring someone to teach one semester of courses for their physics major series. My name was given to them through the grapevine and, after giving a mock lecture, presenting my research over lunch, and meeting with the department, I got the job. Starting later next month, I will officially be Professor Akano.
     
    I'm excited.
     

  6. Akano

    It's All Relative

    By Akano,

    Being a physics grad student has seen me be in quite the scientific mood lately, hasn't it? Well, unfortunately, I still don't have a new comic made (I'm sorry, everyone! ><), but I do have another idea for a blog entry. Last week, Pi day (March 14) marked Einstein's 133rd birthday, and since my Classical Mechanics course is covering the Special Theory of Relativity, I thought I'd try to cover the basic ideas in blog form.
     
    According to the laws of physics laid down by Sir Isaac Newton, all non-accelerating observers witness the same laws of physics. This included an idea of spontaneity, the idea that someone traveling on the highway at 60 mph would witness an event occur at the exact same time as someone who was just sitting on the side of the highway at rest. The transformation from a reference frame in motion to one at rest for Newtonian physics is known as a Galilean transformation, where x is shifted by -vt, or minus the velocity times time. Under such transformations, laws of physics (like Newton's second law, F = ma, remain invariant (don't change).
     
    However, during the 19th century, a man by the name James Clerk Maxwell formulated a handful of equations, known now as Maxwell's equations, that outline a theory known as electromagnetic theory. Of the many new insights this theory gleaned (among these the ability to generate electricity for power which every BZP member uses) one was that light is composed of oscillating electric and magnetic fields; light is an electromagnetic wave. By using his newly invented equations, Maxwell discovered what the speed of light was by formulating a wave equation. When his equations are used to describe electromagnetism, the speed of light is shown to be the same regardless of reference frame; in other words, someone traveling near the speed of light (as long as they weren't accelerating) would see light travel at the same speed as someone who was at rest. According to Newton's laws, this didn't make sense! If you're in your car on the highway and traveling at 60 mph while another car in the lane next to you is traveling at 65 mph, you don't see the other car moving at 65 mph; relative to you, the other car moves at 5 mph. The reason that light is different is because a different theory governs its physics.
     
    This brought about a dilemma: is Maxwell's new electromagnetic theory wrong? Or does Newtonian mechanics need some slight revision? This is where Einstein comes in. He noticed the work of another physicist, Lorentz, who had worked on some new transformations that not only caused space to shift based on reference frames moving relative to each other, but also shifted time. Einstein realized that if light had the same speed in all non-accelerating reference frames, then objects moving faster experienced time differently than those that moved slower. This would come to be known as the Special Theory of Relativity.
     
    How does this make sense? Well, if you have some speed that must remain constant no matter how fast one is traveling, you need time to shift in addition to shifting space to convert between both reference frames, since speed is the change in distance over the amount of time that displacement took place. If you have two reference frames with some relative speed between them, the only way to shift your coordinates from one to another and preserve the speed of light is if both frames experience their positions and times differently. This means that, if something moves fast enough, a journey will take less time in one frame than the other. Special relativity says that moving clocks progress more slowly than clocks at rest, so someone traveling in a rocket at a speed comparable to the speed of light will find that the journey took less time than someone who had been anticipating his arrival at rest. This also means that if someone left Earth in a rocket traveling near the speed of light and came back ten years later would not have aged ten years, but would be younger than someone who was his/her age before his journey took place. Weird, huh?
     
    If you think this is crazy or impossible, there have been experiments done (and are still going) to try to confirm/reject the ideas of special relativity, and they all seem to support it. There's another relativity at play as well known as general relativity, which states that gravitational fields affect spacetime (the combination of space and time into one geometry). General relativity says that the higher up you are in a gravitational field, the faster clocks run (time speeds up). A proof of this theory is GPS; the satellites that help find your position by GPS are all higher up in Earth's gravitational field than we are, and thus their clocks run faster than those on Earth's surface. If general relativity weren't considered in the calculations to figure out where you are on Earth, your GPS would be off by miles.
     

  7. Akano

    Schrödinger's Cat

    By Akano,

    With the end of break comes the beginning of a new semester.
     
    At least, that happened last week. Today commences week two of my spring semester of my junior year (though I'm a senior by credits—thank you, Advanced Placement!). The week before that was our college's choir tour, my first since I just joined last semester. Holy mukau. I can't even begin to describe how awesome that experience was. I look forward to next year's tour.
     
    This semester I'm taking a lovely range of physics courses for my major. By a lovely range, I mean that I'm only taking two: Atomic Physics and Quantum Mechanics. Yay Quantum! Yesterday I spent three hours proving the simple statement that Force=Force (or, more accurately, that d<p>/dt=<-∂V/∂x>) via Quantum Mechanics laws. Fun times.
     
    Oh, and you may be wondering why I've titled this entry "Schrödinger's Cat." It turns out the cover of my quantum mechanics book has the dear kitty on its front and back covers.
     
    That's all for now. Hopefully I'll get up a new comic before the week is over. >>;
     

  12. Akano

    Allons-y!

    By Akano,

    So, I may have just finished watching all six series of Doctor Who available on Netflix.
     
    And I'm quite glad I did. Awesome show. David Tennant is best pony Doctor.
     
    I want a sonic screwdriver.
     

  13. Akano
    Ah, the pentagram, a shape associated with a variety of different ideas, some holy, some less savory. But to me, it's a golden figure, and not just because of how I chose to render it here. The pentagram has a connection with the golden ratio, which is defined as
     



     
    This number is tied to the Fibonacci sequence and the Lucas numbers and seems to crop up a lot in nature (although how much it crops up is disputed). It turns out that the various line segments present in the pentagram are in golden ratio with one another.
     



     
    In the image above, the ratio of red:green = green:blue = blue:black is the golden ratio. The reason for this is not immediately obvious and requires a bit of digging, but the proof is fairly straightforward and boils down to a simple statement.
     
    First, let's consider the pentagon at the center of the pentagram. What is the angle at each corner of a pentagon? There's a clever way to deduce this. It's not quite clear what the interior angle is (that is, the angle on the inside of the shape at an individual corner), but it's quite easy to get the exterior angle.
     



     
    The exterior angle of the pentagon (which is the angle of the base of the triangles that form the points of the pentagram) is equal to 1/5 of a complete revolution around the circle, or 72°. For the moment, let's call this angle 2θ. To get the angle that forms the points of the pentagram, we need to invoke the fact that the sum of all angles in a triangle must equal 180°. Thus, the angle at the top is 180° – 72° – 72° = 36°. This angle I will call θ. While I'm at it, I'm going to label the sides of the triangle x and s (the blue and black line segments from earlier, respectively).
     



     
    We're nearly there! We just have one more angle to determine, and that's the first angle I mentioned – the interior angle of the pentagon. Well, we know that the interior angle added to the exterior angle must be 180°, since the angles both lie on a straight line, so the interior angle is 180° – 72° = 108° = 3θ. Combining the pentagon and the triangle, we obtain the following picture.
     



     
    Now you can probably tell why I labeled the angles the way I did; they are all multiples of 36°. What we want to show is that the ratio x/s is the golden ratio. By invoking the Law of sines on the two isosceles triangles in the image above, we can show that
     



     
    This equation just simplifies to sin 2θ = sin 3θ. With some useful trigonometric identities, we get a quadratic equation which we can solve for cos θ.
     



     
    Solving this quadratic equation yields
     



     
    which, when taken together with the equation for x/s, shows that x/s is indeed the golden ratio! Huzzah!
     
    The reason the pentagram and pentagon are so closely tied to the golden ratio has to do with the fact that the angles they contain are multiples of the same angle, 36°, or one-tenth of a full rotation of the circle. Additionally, since the regular dodecahedron (d12) and regular icosahedron (d20) contain pentagons, the golden ratio is abound in them as well.
     
    As a fun bonus fact, the two isosceles triangles are known as the golden triangle (all acute angles) and the golden gnomon (obtuse triangle), and are the two unique isosceles triangles whose sides are in golden ratio with one another.
     



     
    So the next time you see the star on a Christmas tree, the rank of a military officer, or the geocentric orbit of Venus, think of the number that lurks within those five-pointed shapes.
     

  14. Akano

    A True, True Friend

    By Akano,

    Confound these ponies!
     
    They drive me to sing.
     
    I liked the finale, but I kinda wish it were a two-parter. It felt slightly rushed as one episode.
     
    Also, SONG OVERLOAD.
     

  16. Akano

    Summer: Week 1

    By Akano,

    Already I'm nearly through my first week of summer research. That's kinda weird.
     
    What I've gained from this experience thus far: aligning a laser beam so that it hits a fiber optic cord that's ~1-2 microns in diameter is tedious, painful, and annoying. However, magneto-optical traps and ultracold plasmas are awesome. I am learning a lot about optics and atomic physics despite it only being week one, and I'm sure this lab will be fun.
     
    This weekend I hope to work on my Whirling Time Warper review (I have the pics, I just have to type and format everything) and maybe even make a new comic! Hurray for no homework and more free time!
     

  17. Akano

    Sandy

    By Akano,

    So, school for me has been cancelled Monday and Tuesday due to some sort of sandy storm that is also full of winds and snow (and may or may not be caused by Spongebob's rodent friend). The details aren't really clear. So, after removing things from my porch and storing lots of water in my fridge (at least five gallons worth, maybe more), I feel I'm ready to bunker up and watch it from the comfort of my living room.
     
    My roommate is thinking of going into school to do research. I am not terribly keen on the idea. So, Pokémon it is. 8D
     
    Also, that awkward moment when you're about ready to check out Christmas presents for siblings on Bricklink and a scheduled downtime occurs. :\
     

  19. Akano

    Video Games...in 3D!

    By Akano,

    So, I purchased a lovely Zelda-edition 3DS with some money I got for Christmas and some out of my own pocket after the festive holiday. I have to say, it is awesome. Playing the classic game that got me into the Zelda series in 3D is fun, and due to the fact that I am used to 3D stereogram images the 3D bothers my eyes minimally. Actually, I think OoT is a great game to do in 3D, because there are many scenes that the 3D adds to well (such as Navi's flight at the beginning, establishing shots of dungeons, and basically any scene in the Chamber of Sages). Another great thing about the 3DS is its two external cameras, enabling you to take stereogram pictures. This was one of the biggest appeals to me buying one (the deciding factor was the Zelda-edition-ness). To demonstrate, I have put some 3D LEGO pictures here. Note that the images are crossview stereograms. Enjoy!
     

     

  20. Akano
    If you're building something and want to tell other people how to build it, it's useful to show the dimensions of said something (how big it is) relative to other things that people are familiar with. However, there are very few things in this world that are exactly the same size as other similar things (e.g. not all apples weigh the same or have the same volume). So, some smart people once upon a time decided to make standards of measurement for various properties of matter (which I think we can all agree was a smart decision). I wanted to talk about one of these today: the meter.
     
    The word meter (or metre for those who live across the pond/in Canada) comes from the word for "measure" in Greek/Latin (e.g. speedometers measure speed, pedometers measure steps, &c.), but the meter I'm talking about is the International System (SI) unit of distance. The original definition of the meter was one ten-millionth of the distance from the Earth's equator to the North Pole at sea level (not through the Earth). The first person to measure the circumference of the Earth was the Greek mathematician/astronomer/geographer Eratosthenes (and he was accurate to within 2% of today's known value) circa 240 B.C., so this value was readily calculable in 1791 when this standard was accepted.
     
    In 1668, an alternative standard for the meter was suggested. The meter was suggested to be the length a pendulum needed to be to have a half-period of one second; in other words, the time it took for the pendulum to sweep its full arc from one side to the other had to be one second. The full period of a pendulum is
     



     
    So, when L = 1 m and T = 2 sec, we get what the acceleration due to gravity, g, should be in meters per second per second (according to this standard of the meter). It turns out that g = pi2 meters per second per second, which is about 9.8696 m/s2. This is very close to the current value, g = 9.80665 m/s2 which are both fairly close to 10. In fact, for quick approximations, physicists will use a g value of ten to get a close guess as to the order of magnitude of some situation.
     
    So, you may be wondering, why is it different nowadays? Well, among a few other changes in the standard meter including using a platinum-iridium alloy bar, we have a new definition of the meter: the speed of light. Since the speed of light in a vacuum is a universal constant (meaning it is the same no matter where you are in the universe, unlike the acceleration due to gravity at a point in space), they decided to make the distance light travels in one second a set number of meters and adjust the meter accordingly. Since the speed of light is 299,792,458 meters per second exactly, this means that we have defined the meter as the distance light travels in 1/299,792,458th of a second.
     
    This is all nice, but it's not a very intuitive number to work with. After all, we humans like multiples of ten (due to having ten fingers and ten toes), so why not make a length measurement of the distance light travels in one billionth (1/1,000,000,000th) of a second (a.k.a. nanosecond)? That seems a bit more intuitive, don't you think? It turns out that a light-nanosecond is about 11.8 inches, or about 1.6% off of the current definition of a foot. In fact, one physicist, David Mermin, suggests redefining the foot to the "phoot," or one light-nanosecond, since it's based off of a universal constant while the current foot is based off the meter by some odd, nonsensical ratio.
     

  21. Akano

    Sandy Update 3

    By Akano,

    (12:43 p.m. EDT) So, Sandy is currently doing his/her (its?) stuff outside my apartment. LOTS O' RAIN!
     
    No snow or high force winds yet, though. I think that stuff is being saved for later.
     
    In other GOOD NEWS, EVERYONE, I'm technically still alive.
     
    UPDATE 2 (3:40 p.m. EDT): Winds have been picking up, rain is unrelenting, and my apartment is cold. This calls for hoodie & blanket times! 8D
     
    Wow, it's really raging out there...
     
    UPDATE 3 (10/30/2012 at 2:29 p.m.): Things have calmed down. This morning whilst being sleepily half-awake I heard cleanup trucks outside. At least two trees are down that I can see from my apartment windows. Fun stuff.
     
    Also, the power went off a couple times last night and this morning, but it's currently on (hence my ability to type this ).
     

  22. Akano
    Hydrogen is the simplest and most common neutral atom in the universe. It consists of two particles – a positively charged proton and a negatively charged electron. The equation that describes the hydrogen atom (or any one-electron atom) in the nonrelativistic regime is the Schrödinger equation, specifically
     



     
    where ħ is the reduced Planck constant, μ is the reduced mass of the electron-nucleus system, Z is the number of positive charges in the nucleus that the electron is orbiting, e is the charge of a proton, τ is the circle constant, ε0 is the vacuum permittivity, and ψ is the wavefunction. Solving this equation (which is nontrivial and is usually done after a semester of Advanced Quantum Mechanics) yields a surprisingly simple formula for the energies of the atom,
     

    ,

     
    where h is Planck's constant, c is the speed of light, me is the rest mass of the electron, and n is any integer larger than or equal to 1. The constant R∞ is known as the Rydberg constant, named after Swedish physicist Johannes Rydberg, the scientist who discovered a formula to predict the specific colors of light hydrogen (or any hydrogen-like atom) would absorb or emit. Indeed, the formula I gave, En/hc, is equivalent to the inverse wavelength, or spatial frequency, of light that it takes for the atom in its nth energy state to free the electron of its atomic bond. Indeed, this was a puzzle in the early 20th century. Why was it that hydrogen (and other atoms) only absorbed and emitted specific colors of light? White light, as Isaac Newton showed, is comprised of all visible colors of light, and when you split up that light using a prism or similar device, you get a continuous rainbow. This was not the case for light emitted or absorbed by atoms.
     
    The equation above was first derived by Niels Bohr, who approached solving this problem not from using the Schrödinger equation, but from looking at the electron's angular momentum. If electrons could be considered wavelike, as quantum mechanics treats them, then he figured that the orbits of the electron must be such that an integer number of electron wavelengths fit along the orbit.
     

     
    Left: Allowed orbit. Right: Disallowed orbit. Image: Wikimedia commons


     
    This condition requires that
     



     
    The wavelength of the electron is inversely related to its momentum, p = mv, via Planck's constant, λ = h/p. The other relation we need is from the physics of circular motion, which says that the centripetal force on an object moving in a circular path of radius r is mv2/r. Equating this to the Coulomb force holding the proton and electron together, we get
     



     
    Plugging this into the quantization condition, along with some algebra, yields the energy equation.
     
    What's incredible is that hydrogen's energy spectrum has a closed-form solution, since most problems in physics can't be solved to produce such solutions, and while this equation only works exactly for one-electron atoms, it can be modified to work for so-called Rydberg atoms and molecules, where a single electron is highly excited (large n) and orbits a positive core, which need not be a nucleus, but a non-pointlike structure. In my lab, we consider two types of Rydberg molecules.
     



     
    The example on the left is an electronic Rydberg molecule, while the one on the right is called an ion-pair Rydberg state, where a negative ion acts as a "heavy electron" co-orbiting a positive ion. To model the energies of these kinds of states, we use a modified energy equation.
     



     
    where I.P. represents the ionization energy of the electron, and the new quantity δ is known as the quantum defect. It's a number that, for electronic Rydberg states, has a magnitude that's usually less than 1, while for ion-pair states can be quite large (around –60 or so in some cases); it in some sense contains information of how the core ion, e.g. H2+, is oriented, how the electron is spread over space, how its polarized, and so on. It's a vessel into which we funnel our ignorance in using the approximation that the molecule is behaving in a hydrogen-like manner, and it is surprisingly useful in predicting experiments. Currently my research involves studying electronic Rydberg states of molecular nitrogen, N2, and looking at heavy Rydberg states of the hydrogen molecule, H2 to gain a better understanding of the physics of certain states that have been experimentally observed in both systems.
     

  23. Akano

    This Day

    By Akano,

    I've decided that This Day Aria is my favorite song from A Canterlot Wedding. Its juxtaposition of Cadance singing about her love for Shining Armor with Chrysalis singing about her callous indifference and plot to use him is amazing.
     
    Also, it's (at least partially) a villain song, and those tend to be awesome.
     

  24. Akano
    I have been up to lots of stuffs recently. Mostly of the electronic gaming variety.
     
    First off, I played Mega Man X for the first time courtesy of the Wii U Virtual Console (prompted by a fantastic video by Egoraptor). Fantastic game; the more I play SNES games, the more I regret not owning a SNES in childhood.
     
    After playing Fire Emblem (Rekka no Ken) and Sacred Stones, I finally caved into my roommate's demands that I play Awakening; OMG SO MUCH AWESOME! Probably one of my favorite games of all time, and definitely looking forward to playing it again.
     
    Right after completing Awakening, I received Professor Layton vs. Phoenix Wright: Ace Attorney in the mail. Another fantastic game; Layton puzzles and story combined with Phoenix Wright courtroom shenanigans made for an awesome crossover. I just wish Maya hadn't been given a valley girl accent. :/
     
    And, finally, my roommate got some 3DS Smash Bros codes, one of which he shared with me. I'm loving Mega Man so far; will definitely be playing as him once the Wii U version comes out (not getting the 3DS version; I'd like to spare my buttons of a painful death). I really wish the demo included Robin as a playable character, though; of the new roster, I'm looking forward to playing as him the most.
     
    On a more academic note, this Thursday is my Ph.D. preliminary exam oral defense, so that'll be fun. I've already worked through the problems that I will be asked about, and I think I've solved all of them. Hopefully all will go well.
     

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