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Are You Good at Math?

Ghost of the dead horse

filling some space
Joined
Sep 7, 2007
Messages
3,538
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ENTJ
There's a range of proficiency in maths that borders on the absurd. Yes, I'm good at math.
edit: #fields #algebra #manifolds #discretemaths #equations #cryptography #cryptanalysis #settheory #probability #montecarly #stocastichal #deterministic #differential #complextheory #multidimensional #selforganizing
 

tony_goth

Pseudo-delusional Rebel
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I'm not very good at math, because I'm prone to make calculation errors.

Despite of this, I managed to get a Master in Statistics.
 

EJCC

The Devil of TypoC
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Aug 29, 2008
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19,130
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I'm great at all math that doesn't involve spatial reasoning. If I can easily reduce it to formulas, fine. If I can X therefore Y therefore Z it, fine. Area under the curve? Absolutely not.

I also basically flunked economics four semesters in a row and still have no idea why.
 

Ghost of the dead horse

filling some space
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If I may suggest, people might fall equally on a scale where people math skills are

1
10
100
1000
10000
100000
1000000
10000000
100000000
1000000000
10000000000

No number of 5-year-olds, put together, will amount to the math knowledge of a common statistician.
 

Merced

Talk to me.
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I'll swear up and down I'm good at math but if you present me with anything above Algebra 1 I will physically attack you.
 

Virtual ghost

Complex paradigm
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Jun 6, 2008
Messages
15,876
Being good at math isn't correctly measured through high school level of mathematical problems but with ability to use math in every day to your advantage. The more complex and correct the better.
 

WileStyle

New member
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Jan 5, 2021
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ISTP
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Being good at math isn't correctly measured through high school level of mathematical problems but with ability to use math in every day to your advantage. The more complex and correct the better.

I guess that's what you would call genius in math.
 

Siúil a Rúin

To the waters of the wild
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I'm strong at math, but didn't take that many classes at the college level. I really enjoyed a statistics course I took recently. I scored in the 74 percentile in math on the GRE, and 92 percentile on the analytical reasoning. I enjoy the logical clarity and consistency of math. I sometimes feel as though I'd like to go back and study math.
 

Charm

New member
Joined
Jul 27, 2020
Messages
23
MBTI Type
INFJ
Minored in math in undergrad. I've still got a lot of the concepts down pat, but I hardly remember many of the implementation details behind many of them beyond differential equations or so.

In operations research, I'm usually able to get away with providing a "good enough" picture of some phenomenon, system, problem, etc. -- what sorts of mathematical models/methods could be used to represent it, what assumptions would have to be made, and whether those assumptions would take us away from the problem at hand. Then, other folks could take that ball and roll with it.

I'm a fan of looking out for needless complications and nixing them before we dive in. Sometimes, the more advanced methods aren't necessary. We don't need a damn Rube-Goldberg machine to hammer a nail -- we have, you know, hammers -- but we might need something pretty damn close to one if we need to collect and stabilize aerosols or something.

Hi, would you humor me and try summarizing what you do in your day job? :)
 

Charm

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Jul 27, 2020
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I love the philosophy of mathematics. My favourite book is, "The Laws of Form", by G Spencer Brown, click Laws of Form - Wikipedia.

This.

Though haven't read the book but the subject matter resonates.

- - - Updated - - -

There's a range of proficiency in maths that borders on the absurd. Yes, I'm good at math.
edit: #fields #algebra #manifolds #discretemaths #equations #cryptography #cryptanalysis #settheory #probability #montecarly #stocastichal #deterministic #differential #complextheory #multidimensional #selforganizing

Very intriguing. Please tell me more? :)
 

Ghost of the dead horse

filling some space
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ENTJ
Very intriguing. Please tell me more? :)
Me and my friend, doctor in computer science, have applied mathematics to many problems in the past. We've done lot of work separately.

We've applied probability and sampling theorems to improve 3d graphics results with path tracing. Probability can be used to find out the distribution of results of some processes for which we have a description. Probability theory can be applied for testing whether some explanations or findings are true.

We've applied combinatorics to find out what kind of moves are available in a game, to improve the game AI. Combinatorics can be used to find out how many and which kind of variations there are for some configuration of parameters, and how much they overlap with some other configuration of parameters and permutations thereof.

Set theory is readily applied to data structures which describe the breakdown of some complex structures. Similar to combinatorics, it can be used to count to overlap of some sets of parameters. It can also be used to establish a hierarchy for a sets of sets of parameters. These kinds of structures can assist in the data handling part of some miscellaneous AI operations, or they can be used for AI in some applications.

Discrete mathematics can be applied to discrete optimization problems. There we have parameters which obey some strict rules within the system where the values may only obtain certain values. This could be a card game, or the delivery of packages, or the logistics of people or cargo.

I've done some cryptanalysis to find out the complexity of decrypting some cryptosystems without having the keys. It can also be applied to finding out how much of the original information is available after it has been scrambled with some method.

Multidimensional analysis applies to situations where we have multiple parameters describing some object, and we have a set of those objects. This can be used to things like classifying parts of a video, or it can and has been used to classify loan applicants.

Differential equations come up in simulating some physics-based systems, and in in the design and implementation of finite element analysis to simulate those systems.

Yeah I think maths are a ton of fun. Exciting stuff!
 

Charm

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Me and my friend, doctor in computer science, have applied mathematics to many problems in the past. We've done lot of work separately.

Hi [MENTION=988]UnitOfPopulation[/MENTION], this seems very cool. Thanks for the prompt response. I really dig this. Btw, as of today I've changed my college major from electronics technology (boring!!!) to applied math, with an interest in operations research.


We've applied probability and sampling theorems to improve 3d graphics results with path tracing. Probability can be used to find out the distribution of results of some processes for which we have a description. Probability theory can be applied for testing whether some explanations or findings are true.

Can you recommend a book or online reference on this subject? Thanks.

We've applied combinatorics to find out what kind of moves are available in a game, to improve the game AI. Combinatorics can be used to find out how many and which kind of variations there are for some configuration of parameters, and how much they overlap with some other configuration of parameters and permutations thereof.

Interesting.

I used to read a lot. Dr. Art Benjamin did a course called, The Joy Of Mathematics, by The Great Courses. It was my first exposure to combinatorics. After, I bought both of Art's mental math publications. Two years ago, when I lived in Southern CA, I was delivery driving for a paint company. When I was dispatched to the city of Montclair I instantly knew it's where Art had a math professorship at Harvey Mudd College. Zip! There I was, hopped out the truck, and loitered the campus. Meandered up the steps to his 2nd story office but, I got cold feet. Instead I walked the entire campus - very small but quaint.


Set theory is readily applied to data structures which describe the breakdown of some complex structures. Similar to combinatorics, it can be used to count to overlap of some sets of parameters. It can also be used to establish a hierarchy for a sets of sets of parameters. These kinds of structures can assist in the data handling part of some miscellaneous AI operations, or they can be used for AI in some applications.

I see.

Related to set theory. I started off watching lectures by a Dr. Jason J Campbell's numerous Youtube logic series. This dendritic surge of interest made me veer into a used book store in the Riverside CA mall. I scanned the book shelves, spotted this below book, then tested myself. It was cool what I'd learned and didn't know...

32563_1263918516_Width288.jpg

Afterward I wasn't sure where to go next so I picked up an introductory mathematical logic text. Feeling a big intimidated I decided to learn some set theory. That got me interested in abstract algebra. But I've since stopped my wondering and now plugging away my prerequisites to transfer to university. I wish the community college/university level would accept MOOC credits. But so far it's a no go. :sad:

Discrete mathematics can be applied to discrete optimization problems. There we have parameters which obey some strict rules within the system where the values may only obtain certain values. This could be a card game, or the delivery of packages, or the logistics of people or cargo.

This is of interest to me.

Yeah, I'd no idea what discrete mathematics was until I took a computer science class for programming in Java. My mind exploded. What I recall is what my community college instructor lacked in pedagogy he made up for in funny code monkey stories from his employment in Bay Area CA - it helped reverse track ideas I was puzzled by i.e. industry culture etc. I keep signing up for coding classes online but get half way through and stop because there's no interesting application.


I've done some cryptanalysis to find out the complexity of decrypting some cryptosystems without having the keys. It can also be applied to finding out how much of the original information is available after it has been scrambled with some method.

Cool, while a member of intpcomplex I used to correspond with this Australian math teacher who introduced me to cryptoanalysis. I then pirated some books on it. I mostly just learned the history of it and that set me on a pathway to research number theory. I got great advice from a guy named Limes, who suggested my personality type (barring the ASD etc issues) might favor the theoretical vs the hands-on technology focus. And might check out information security. I'm an odd specimen and couldn't grasp interesting applications so I shifted from the subject.

Multidimensional analysis applies to situations where we have multiple parameters describing some object, and we have a set of those objects. This can be used to things like classifying parts of a video, or it can and has been used to classify loan applicants.

Hm.

Would you please provide a reference? Thanks!

Differential equations come up in simulating some physics-based systems, and in in the design and implementation of finite element analysis to simulate those systems.

I see.

I'm interested in the big picture view of calculus and its applications. Physics came up, during a google search, related to engineering. Perhaps you could enlighten me with a quick reference?

If I can grasps the end goal of the material I can sometimes modify how I learn it and shorten the time learn the material, kinda thing.

Yeah I think maths are a ton of fun. Exciting stuff!

No

:cry: it's double rainbow exciting!

(Btw, I've taken the liberty to google the topics you've mentioned but, again feel free to respond with examples as you desire. Thanks for taking the time to read this message.)
 

Ghost of the dead horse

filling some space
Joined
Sep 7, 2007
Messages
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ENTJ
Uhm, I don't think I can provide references which specifically prove that a certain field is used for something. But I can find references you might approve on other grounds, if you find that helpful
 

Mole

Permabanned
Joined
Mar 20, 2008
Messages
20,299
There is a sense in which we are all good at mathematics.

And we are all good at mathematics, because we have been selected by natural selection to see patterns in our environment, so that we will survive and reproduce.

So just as written music is the notation, the notes, of musical sound, so mathematics is the notation, the notes, of patterns in our environment.

And it has often been noted, music and mathematics are similar.
 
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