Propositions and Corollaries

"My darling, you are allowed to fail without being a failure. You are allowed to make mistakes without becoming one. More opportunities will present themselves, you will find hope again."

Reblogged from aradial-symmetry

rustyvoices (via wordsaresinging)

I thought that changing locations would help me find the motivation to work again. Apparently not. I have a lot of energy, but I’m too restless to work.

Things I should do:

  • Study for quantum? (Or not; I’ve actually studied a lot and I don’t really want to look at it any more)
  • Do my math problem set that’s due tomorrow

Things I want to do:

  • Watch a foreign language film
  • Call Jess; force us to maintain a conversation in French
  • Go lifting
  • Swing dance to rock n’ roll songs for hours
  • Sing country music songs from the 90s at the top of my lungs
  • Call a friend and make him sit down with me and go through all the Swedish grammar I would ever need to know to properly construct sentences
  • Call a different friend and have him teach me Russian as we talk about quantum mechanics
  • Learn how to build a laser cavity
  • Make Kelly tell me about all of her favorite ochem facts
  • Study biomechanics
  • Jump on a trampoline
  • Talk to someone about algebraic geometry
  • Paint a picture
  • Write a story
  • Jump around a lot
  • Get a hair cut, pluck my eyebrows, cut and paint my nails, buy fancy earrings, put on make up, dress up for no reason
  • Play with a pet
  • Play frisbee on a beach
  • Get lost in a forest
  • Watch a musical
  • Learn how to swim
  • Lie outside in the sun (note: it’s 10pm)
  • Go hiking
  • Go mountain biking
  • Explore the underground steam tunnels
  • Stand on a balcony or the roof of a building and feel the wind on my face and in my hair
  • Kick off my shoes and run around barefoot

What the heck do I do with this energy and this restlessness?

Reblogged from differentialprincess


rather than actually write my lab report for the class, I figured that I should procrastinate and actually show everyone what I’ve been up to in advanced lab.

these images are of spectral lines in Mercury. we applied a magnetic field* to a mercury sample. as the field strength increases, the energy levels of the electronic states of mercury begin to split, proportionally to the applied field. this is known as the Zeeman effect.

(the asterisk is because voltage, not magnetic field, is recorded in the image captions. this is because we had control over the voltage. unlike current, the magnetic field is not guaranteed to have a linear relationship with the voltage, so what magnetic field is present in each image has a complicated relationship. thankfully, we had a nice hall probe that we could make measurements with.)

examine the rightmost spectral lines closely (the right vertical strip) as we increase the voltage/magnetic field. notice how the two lines appear to split into three separate components, two of which then merge together. our goal was to find the magnetic field where that resonance occurs. from that field value, we can experimentally determine the charge to mass ratio of the electron (e/m).

I didn’t quite have room to include it in this photoset, but if you examine the spectral lines at 50 V and above, they start to split away from the resonance (and will eventually combine with the original spectral lines, at a magnetic field value much higher than we had access to). so the resonance we want to use is somewhere in between 40 and 45 V.

which leads to a value of e/m = 2.03 x 10^11 C/kg, and the known value is around 1.75 x 10^ 11 C/kg. Not bad for an experiment with okay spectral resolution and pretty bad field resolution.

Mir! I’m currently doing the Zeeman Effect in my Advanced Lab, too. The biggest difference is that we’re using a Fabry-Perot etalon to look at interference fringes, so we measure the radii of the rings we take pictures of and plot ring number vs. the square of the radius of the ring number for when there is no field and for increasing |B| (well, V, but whatever). Using our results, we can calculate the ratio e/m (as you did) and therefore find the Bohr magneton mu=e(hbar)/2m.

I think we also did chaos experiments around the same time, but we did them in very different ways (like I said, we used an inductor-resister-diode set-up to get our chaotic behavior). Our physics paths have been incredibly well-aligned over the years. It’s too bad you’ll likely end up being an analyst or an applied mathematician; I will miss seeing a summary of your coursework on my dashboard and feeling odd because I’m doing the same thing.

How to Deal with Procrastination

Reblogged from onlinecounsellingcollege


1. Be honest with yourself and admit that you’re putting off stuff that really needs to be done.

2. Try and figure out why you’re procrastinating. Is it because you don’t like it, it creates anxiety, you don’t understand it, it feels overwhelming, you’re disorganised …?

3. Decide to break the habit of procrastination by deliberately rewarding yourself for doing something you’d rather not do.

4. Make a pact with a friend –where you deliberately and regularly encourage each other, and hold each other accountable.

5.  Sit down and think – in detail – about all the likely consequences of not doing what needs to be done. Be brutally honest, and try and picture what you’re life is going to look like 6 months, a year and five years from now ( if you continue to procrastinate).

6. Decide to break large tasks down into smaller, more achievable tasks, and then tackle these smaller tasks one at a time.

7. Recognise your progress, and affirm and praise yourself for making these changes – and doing things differently, even though it’s hard. 

I wrote this over Spring Break while I was in Milwaukee. I keep meaning to flesh this out, but it’s rare that I have the motivation to write for fun any more.

Additionally, writing is hard when you feel so negative. Everything becomes tinged with self-pity.

Read More

"hi I had a complex analysis / elliptic curves question: if you take an elliptic curve E with rational coefficients and set a_p = p+1-|E(F_p)| and take the Euler product of (1 - a_p p^{-s} + p^{-2s+1}) over all places of good reduction and analytically continue that to the complex plane I was wondering if you could compute the order of vanishing at s = 1"

Asked by aradial-symmetry




Sources: Quote source 1, quote source 2, background image, chemical structure of lignin (on right), chemical structure of rosin (on left).

Reblogged from eatgeekstudy


Sources: Quote source 1, quote source 2, background image, chemical structure of lignin (on right), chemical structure of rosin (on left).

Reblogged from theuncolonizedmind

This is adorable.

Reblogged from anengineersaspect


Anyone Up for Pancakes & Syrup?

Image BV4720 (Fluid coiling effect)

Image BV4724 (Fluid coiling effect)

Image BV4726 (Fluid coiling effect)

Liquid Rope Coiling. In these images, high viscosity corn syrup is poured out of a 6 mm hole. These types of liquids will naturally start to coil when they hit a surface. This rope coil effect is often seen when pouring syrup on food. Honey, glue, oil and liquid chocolate are among the other viscous fluids that behave this way. The frequency of coiling depends on the height from which the stream is falling, being more frequent as the fall increases. As an alternative to coiling you may see the fluid fold back and forth in a ribbon-like pattern or wrap around in some other pattern.This image was taken with a high speed flash at 1/40,000th of a second at at a magnification of 2x.

© Ted Kinsman / Science Source 

  • *discussing schedules for next fall*
  • Friend: Listen to your heart.
  • Me: My heart wants me to take 50 credits and learn everything.
  • Friend: Don't listen to your heart, because it's a fucking idiot.

New language learning site: Memrise

Reblogged from russiangrammar


Yet another site for learning languages!

  • Includes languages that are less accessible, such as Persian, Croatian, Hebrew, Estonian and Catalan, as well as all languages such as Russian, French, Spanish, German and Chinese.
  • Especially useful for vocabulary learning.

"Maybe happiness is this: not feeling like you should be elsewhere, doing something else, being someone else."

Reblogged from adjectivelyamber

Isaac Asimov (via awelltraveledwoman)

(Source: wordsthat-speak)

Dialects of Sign Language: Black ASL

Reblogged from allthingslinguistic


We’re all aware of the large number of dialects that make up our spoken languages around the world. But with many ignorant of the fact that separate forms of sign language exist in different countries, there’s even less education on the different dialects that populate…


Elliot Perlman, Seven Types of Ambiguity

Reblogged from aseaofquotes


Elliot Perlman, Seven Types of Ambiguity

"Don’t lose your passion in a subject over the worry of exams."

Reblogged from theazerilime

Emil Kerimov (via theazerilime)