Hipster Algebras?

So I’m getting ready to start my graduate studies (hopefully) in the next year. I find that really enjoy algebra. I’ve liked group theory, galois theory, representation theory of groups, etc. But I find that I like learning about and playing with wackier or less popular algebraic structures like monoids and semigroups as well. Playing by different rules is refreshing and gives interesting insights (in my opinion) why things like groups or fields are so nice.

Everywhere I look, it seems like professors are group theorists, ring theorists, algebraic geometers. I have yet to see a professor at an R1 call themselves a loop theorist, mention quasigroups or quandles, etc. Is there just not enough general interest in these other structures?

I know for example that there are very compelling reasons to care about groups (encoding information about symmetry, acting on sets, applications in physics, Maschke’s theorem fails spectacularly for monoid representations, etc.) and polynomials over a ring are a ring so that’s also natural. Rings look like numbers we’re familiar with and you can do a lot of cool stuff like making field extensions, etc.

The advice I’ve gotten from a couple of different professors is to build a research program in something most mathematicians care about, without being super hot (like deep learning in CS right now). You can get funding and you maximize your chances of saying something worthwhile/interesting about the field.

Should I focus on mainstream algebra research programs in graduate school or should I try to blend in my weirder interests. I’m quite happy to have a mathematical hobby, if that’s how algebra is in the US/Europe right now.

submitted by /u/whiteboardandadream
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Programming for a Mathematician

Hello, I’m going to the second year of the math course and would like to know tips on programming languages ​​that could be useful in the future, along with sites I could learn. I learned Fortran last semester, but the course was not very good, besides the faculty not valuing much the area, being a forgotten course, which left me in doubt about the usefulness of the code.

submitted by /u/Heage
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SPSS SYNTAX for A’ (A-prime)

I am conducting a test with signal detection theory (‘old’/’knew’ & ‘same’/different’), and have the Syntax and results for Hit rates, correct rejections, adjusted HR, adjusted False alarms (too ensure d’ does not sum to infinity) and also Bias (c). However, some of my data is skewed (negatively) and have found that d’ is not appropriate for this, and should use A’ instead.

When I have looked at articles with A’, I managed to find this:

COMPUTE APRIME = .5 + (ABS(HR – FA)/(HR – FA))*((HR – FA)**2 + ABS(HR – FA)) / (4*MAX(HR,FA) – 4*HR*FA).

EXECUTE.

(Stanislaw & Todorov, 1999)

However, when I input this into SPSS with my own variable names some of the functions do not come up in red (i.e., the second ABS – the first one does appear red). Note: I am fairly new to SPSS Syntax, but I understand that bright red means an error somewhere.

My question is therefore:

Will it matter in computing my data if the functions (i.e., ABS, MAX etc.) are not coloured red? Will the SYNTAX ignore them or include them?

Thank you all in advance, feel free to ask if I have not explained anything properly or have any questions.

submitted by /u/Commander_Nayr
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Is a 14-hour drive manageable?

I’m considering driving from Georgia to Philadelphia to visit some family. It’s about a 900 mile trip and I’d be driving alone. The most I’ve ever driven in one sitting is about 8 hours and I was bored out of my mind near the end of it. I’d also be staying a week or so in Philly and then heading back to Georgia, so I’d be making the trip twice.

Does anyone have any experience with driving long distances? Any advice or stories would be helpful.

submitted by /u/Olaaaf
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Strategies to reduce salt damage?

As long as I’ve lived in the Midwest I’ve had a beater to drive from Halloween to Easter to keep the salt off my nicer cars and just in case some moron slides into me. However I’m getting tired of trying to maintain a fleet of cars with my “summer daily”, winter beater, tow van (that I refuse to drive more than necessary), and project vehicles. So I’m thinking about selling the beater and making my S12 winter ready.

Ideas on how to keep this rice paper car from rusting out? POR-15 the whole underside?

submitted by /u/Sponsoredmiatadriver
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PyCM 1.7 released: Machine learning library for confusion matrix statistical analysis

https://github.com/sepandhaghighi/pycm

Changelog :

  • Gini Index (GI) added
  • Example-7 added
  • pycm_profile.py added
  • class_name argument added to stat,save_stat,save_csv and save_html methods
  • overall_param and class_param arguments empty list bug fixed
  • matrix_params_calc, matrix_params_from_table and vector_filter functions optimized
  • overall_MCC_calc, CEN_misclassification_calc and convex_combination functions optimized
  • Document modified

submitted by /u/sepandhaghighi
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