Images, posts & videos related to "Algebra"
Is there a comparable theory to linear algebra where you can solve systems of equations which include equations that have NonLinear terms?
When they see an x and a y they get triggered.
I've had limited experience with linear algebra, but the algebraic concepts have helped me enormously in solving equations. Solving systems of equations is much, much easier using matrices than basic algebraic methods. So, I assume the more linear algebra one knows would make the algebra part of Calculus easier, which is the most difficult part of Calculus.
So, would one run into any problems learning linear algebra before calculus? Would it be beneficial?
Do you like statistics, data and stuff? I do :) I wasn't super terrible at math in middle and high-school, but to get B was an achievement. I still suck at math now. Never liked it. Then barely managed to enroll to university and get 100% scholarship. It wasn't hard, it's no big deal here in Kazakhstan(not like in the US). Every my classmate got it. I don't know a proper name of my major in English but it's something about industrial automation. I'm russian btw. Also started learning English 2 years ago. And now I'm halfway through the graduation, barely keeping up with my classmates. I'm in bottom 1/3. Now I can learn stuff in English and it's much more fun and much more content available than in my mother tongue. Now I decided to kill my fear of math and improve my math foundation. That's why I chose Khan Academy. Then I will use openstax books. So, as a result, I figured out that I learned math on Khan Academy more than in all 11 years of school combined.
TL;DR my math background
... keep reading on reddit β‘Clifford algebra has elegant operations for reflections, rotations, etc. It generalizes vectors, quaternions, spinors, complex numbers as sub-algebras of a single system (Only this reason should be enough to prefer them even if they don't bring anything new to the table). It is proposed as an alternative to linear algebra. But are these multivector sub-algebras sufficient to do any arbitrary linear transformation that matrices can do?
My hell brain: LETS DO
The title is self explanatory. I took a class on applications of boolean algebra to computer architecture this last semester and I was wondering how and if this knowledge is directly used in software development.
Edit.: Thanks so much everyone for their great answers. Apparently boolean algebra is used by most people when comparing statements or refactoring code and knowing computer architecture helps people make better decisions about efficiency.
Hello, fellow csharpers!
I am a student and want to share with you my open-source project AngouriMath working with symbolic algebra. It's written on C# and allows to work with analytically-defined expressions: evaluation, simplification, derivating, solving equations, solving equation systems, and some more.
An example AM can solve:
(sin(x) + a)^3 + 3*(a + sin(x)) + c = 0
(but there're a lot of those that AM can't solve)
In addition to those algorithms, it has Numeric hierarchy (integer, rational, real, complex), true sets (with complex intervals), Tensors, and some more stuff.
I used many tricks and techniques there, yet still so far from Wolfram Alpha or even SymPy. One day I hope to make it more convenient & powerful than Math.Net symbolics.
Right now I'm working on optimization and decided to share the project with you. You can check the project on GitHub (under MIT => d
... keep reading on reddit β‘I've heard so many people say that algebra is taught in a horrible way in school.
Richard Feynman called algebra education as "a series of steps by which you could get the answer if you didn't understand what you were trying to do."
There is this sense that people learning algebra in compulsory education are only learning algorithms to solve equations that they fundamentally don't understand. This seems to make intuitive sense because I can recall my calculus teacher being hopelessly unsure of herself without the formulas and "steps." If I'd ask her mildly complicated questions about the calculus (what it's actually doing, for example), she'd be honest with me and tell me that she doesn't know, but that if I follow these steps, I'll be able to get good marks on my tests and get into a good university.
Algebra is so fundamental, such that calculus is pretty much impossible if your algebra is bad. If algebra is learned in such a horrible way, what's the alternative? How can one teach
... keep reading on reddit β‘Honestly I dropped out of high school and I'm now 31 and well I have literally forgotten all the math I ever learned, I'd say I'd got up to algebra 1 then dropped out. I still remember simple things like order of operations, very basic shit like that. Well is there anyone else in the same boat who successfully became a front end dev??? If I have to learn math again, that would easily be 200 hours of work and I already still have hundreds of hours of coding left to learn, I would just choose to go back to fast food if thats the case. But If I can really just learn to code and not worry about my atrocious math skills then I'm all in!
All though-out my life I been mid set for maths so decently decent at the subject however there was always a topic I loved which is algebra, finding x,y,z's equations in particular & I wish they made books filled with them like they do with Soduko, still not sure if algebra is useful or practical in life but I enjoy it nevertheless.
Something I hear all the time from freshman/incoming CS majors is 'Are we actually going to use discrete and linear algebra for cs? Those classes seem hard and useless', and I'd be lying if I said I wasn't one of them back then
I wanted to make this post for all of you who were like me and say yes, you will use them.
I was honestly shocked after seeing truth tables being rattled off in my systems programming class and was thankful I knew what was going on; it was also funny seeing the confusion of the students who definitely didn't pay attention/cheated their way through discrete.
Especially when you get into binary and bitwise operators in something like C, C++, or assembly, truth tables become very important in the same way matrices from linear alg become important for visual development and image processing.
So for all of you who are doubting their usefulness or are in either of these two classes now, pay attention and give it some time. The requirement of taking them wil
... keep reading on reddit β‘Does anyone else feel the need to explicate to non-math enthusiasts that linear algebra is big kid maths?
I feel they hear βalgebraβ and scoff that Iβm proud of where I am in my math journey.
So if you do here are some of my go to set ups:
. . . now that I have completed the CALCULUS SERIES (gotta emphasis on calculus at the very least), Iβll be moving onto Linear Algebra (this is where you puff your chest like a proud panda)
Iβll be taking Linear Algebra next quarter/semester, (clear throat and demand eye contact) which is the one of the last math courses Iβll need as an engineer.
Wanna hear what you guys say so I can try some new material
I took the MPE months ago. Iβm wondering if my score on my MPE is good.
Is Algebra one okay or impossible? Are answers on Quizlet or Brainly?
Let A be an nxn Matrix such that A is diagonalizable and the determinant is 0. suppose A has two distinct eigenvalues, L_1 and L_2. prove R^(n) = E_L_1 (+) E_L_2 (where (+) is the direct sum)
Hi all
I read the wonderful blog from JOHN A DE GOES regarding to tagless final. In the section 5.Fake Abstraction, he has mentioned:
> Unfortunately, these operations satisfy no algebraic lawsβnone > whatsoever! This means when we are writing polymorphic code, we have > no way to reason generically about putStrLn and getStrLn. > > For all we know, these operations could be launching threads, creating > or deleting files, running a large number of individual side-effects > in sequence, and so on.
He is correspond to the following tagless algebra:
trait Console[F[_]] {
def putStrLn(line: String): F[Unit]
val getStrLn: F[String]
}
Does it mean, writting laws for tageless algebra is not necessary?
Thanks
Hello, I am a 10th Grader whoβs trying to study Algebra II this summer while having no experience in the course whatsoever. I have went over a few videos detailing works within Algebra II. But it doesnβt seem going well. So that having said, my question is, #IS LEARNING MATRICES IMPORTANT? I know itβs a really questionable thought, but I want to know if it will really help me to learn Algebra II faster than it would or not?
G'Day science jaffies. If you are going to do a Computer Science or Math major, you will most likely going to take at least two these subjects. And from my experience Calc2+LinAlg+FoA are 3 of the toughest subjects in Science Level 1 with high fail rates. These are the type of subjects that you wouldn't want to leave up for "I will catch up during the mid semester break" or SwotVac. Even if you're aiming for a mediocre grade, you will have to study every week and stay on track because once you fall behind you will regret that in the following weeks. I am going to put some tips about how you should study these subjects to achieve your goals.
I had a lot of difficulty with cal 2 but calc 1 was easy. How much harder is linear going to be?
Until now I had never had trouble with math courses. But also until now (except geometry) none of my math courses dealt so largely with proofs.
Currently I am taking a Linear Algebra course and I am having tremendous difficulties. I am unable to solve most of the proving problems. Before that was the only problem, but now going into vector spaces I am becoming lost with all the terminology.
I was wondering I can get help with three things:
I have done so bad in these two classes that it's quite worry some. Not sure if I would survive in of these programs if they are highly involved.
For those who are completing their bachelors this year or already completed, how much of these math courses is involved in your program ? Please specify the program you are in.
Thanks a bunch !
As a Computer Science student I can see applications of everything we learn in Discrete Mathematics apart from Abstract Algebra. Why do we study this (although interesting)?
I'm into 3D computer vision and have been reading a book on slam algorithms. But I'm not quite good with lie algebra and the basic understanding of it. What concepts and books do you recommend? I've done linear algebra, probability, statistics and calculus. Do I need to start with abstract algebra? I'm looking for understanding concepts like SO(3) and se(3) relation, manifolds and topology? All the notes I searched start with heavy vocabulary.
Hey there. I need some help with an exercise I am stuck at. I failed at managing my schedule the past few weeks and it resulted in falling behind in Linear Algebra, so yeah now I am here.
The exercise was not in english and english is not my native language, but I tried to translate it in LaTex, if soething doesn't make sense, I'll try to correct my translation.
Here is the exercise: https://i.imgur.com/sMtg3lR.png
Any help is greatly apreciated.
Iβm new to college and engineering Iβm not sure if this will kill me, I also work every Friday Saturday and Sunday 6am to 6pm
http://imgur.com/gallery/f8Pdi0s
I'm working on a schedule to learn pre algebra, intermediate algebra, college algebra, trigonometry, and geometry before I enroll spring 2021. Is anyone doing similar? If so, how are you approaching it?
Over the last six months, I've researched memory methods, studying processes, srs systems, and finished a handful of book on mastering subjects of which the book Ultralearning was very relevant. In the book, the author attempted to complete a 4 year degree (Batchelor's) from MIT in 12 months. And he managed!
So I'm applying those "hacks" to streamline my learning. I'll share in another thread when I flesh it out for learning math.
So what was or will be your approach to picking up remedial math before enrolling?
How do you know which method to use when simplifying complex fractions? There's the writing as a single fraction method, and the multiplying by the lcd method. When do I use each of them?
Hello all,
I've been doing a lot of simulations recently, and I need to solve some large (2000 x 2000) symmetric and non-triangular sparse (~40000 non-zero entries) linear systems of equations where the matrices are changing in a tight loop. (The matrices are Jacobians of a highly non-linear function). The RHS vectors are dense. I currently store the RHS in a ndarray::Array1
.
What's the best library to use for this?
I've been using sprs
, but its performance was terrible in my benchmarking.
I understand nalgebra
has sparse matrix support, but I was under the impression that nalgebra
isn't meant for high dimensional systems such as mine.
EDIT: As many have pointed out these matrices aren't really large. I'll have larger ones in future iterations of this project, but should have been more careful with my phrasing.
Im in rbs w a double in cs, so linear algebra and managerial accounting are requirements.
Iβm considering which course to take this summer, considering summer is condensed and offers p/nc.
Which one is harder and should I take this summer?
Hey guys,not a problem but a theorem theorem I didnt understand. So from gcd(a,b) we got that exists such x and y that ax+by=1from a BΓ©zout theorem.Anyone knows ehat that theorem could be and how we get that ax+by=1 from it
Is the reason why I cannot do: new r2 = 1/c r2 - r2 to get 0 d-d/c g-g/c because there is no invertible matrix I can multiply on the left that will that row operation?
How do we know that g-fc is non-zero? If g-fc is non-zero, then d-3c can take any value.
Thanks for your help.
How can I verify that this is a linear transformation, going from R3 -> R2?
T(X,Y,Z) = T[x+z, y]
I know in order for something to be a linear transformation, we have two properties which must be true, T(u +v) = T(u) + T(v), and T(cu) = cT(u). But, I am really not sure how to setup the problem in order to find this.
do i have to know lin alg???
i thought it wasnt a pre req but apparently this got changed recently?
just wondering if i should switch to 61b before its too late
It's extremely unintuitive to me that 4X = Y means that Y is actually 4 times as large as X. Any ideas for clearing up this misconception?
The repetition of questions at the end are to focus where I need help. If you can answer any or all of these questions, please help and thank you so much. The 3 topics are separated by -'s and pair with the title.
Vector Space:
-----------------------------------------------------------------------------------------------------------------------------------------------------
A vector space is a collection of vectors closed under addition and multiplication. More specifically with an example: The collection of vectors with exactly two positive real valued components is not a vector space. The sum of any two vectors in that collection is again in the collection, but multiplying any vector by, say, β5, gives a vector thatβs not in the collection. We say that this collection of positive vectors is closed under addition but not under multiplication.
This doesn't make sense to me.
I'd like to use a 2x2 matrix to understand this, with vectors A = (1, 1) and B = (1, 0) (a lower triangu
... keep reading on reddit β‘I will be taking a diffy/linear algebra course in Fall. I wanted to get ahead and start watching lectures but all the videos are separated as two completely different courses. Should I start both simultaneously or learn one then the other. If anyone has taken this combo course, I am curious if they bounce between topics. Any information regarding how that class went would be helpful.
If the goal is to solve Ax = b, and gauss-jordan elimination gives us A^-1 , then isn't getting x just as simple as multiplying b * A^-1 ? Why bother coming up with a L matrix and a U matrix and then doing forwards and backwards substitution?
And while that may not seem like much, algebra has been my weak point since I was introduced to the concept and I will be a Jr this fall working on my engineering degree at university. I've already passed Calc III, but I know without algebra I won't be able to really thrive in any of my classes.
I've put it off so long now, it just feels good to put a little effort into it and make a little progress. Thanks for listening!
I will be doing linear algebra next year and I am trying to prepare because I will have a pretty heavy course load. I've went through calc 1 and most of calc 2 and the concepts there are fine but now I would like to know the best way to prepare for linear algebra. I have the textbook "Linear Algebra Done Right" in PDF form and I'm wondering if anyone would recommend a different text book and if they know if this textbook covers enough of the material that is likely to be taught in my linear algebra class. I will be completing the course in 3 weeks as opposed to 11 so for this reason I will definitely need to be as prepared as possible.
I am a rising sophomore, and a couple weeks ago I started taking algebra 2 online through Apex Learning. For context I took Algebra 1 in 8th grade and Geometry freshman year. I thought it would be a good idea to take this to catch up to some of my peers who took algebra 1 in 7th grade.
So far the course has been mostly Algebra 1 review, but I know it wonβt be review forever. I am doing probably at least 3 hours of work a day so I can finish the first semester by July 10th, and the second one by around August 10th. I am doing multiple quizzes every day, along with tests once or twice a week. I am also doing lessons every day.
I am starting to regret my decision of signing up for it. I feel like the amount of work I am doing daily is really taking a toll on me, and I am questioning if itβs worth it to stay in and finish the class. I feel like I would learn the concepts better in a classroom setting over the school year rather than me trying to learn it all almost on my own in 8 weeks
... keep reading on reddit β‘I need to get 2(2k + 3) + 7 into the form of 2x + 1
Can I do this?
= 4k + 13
= 4k + 12 + 1
= 2(2k + 6) + 1
What's the difference between these two math courses? It says I can choose either or, but not both. So is 240 just 223 but more advanced? How come one is linear algebra and the other just algebra? The course descriptions didn't really help me because I don't understand those concepts lol.
Thanks in advance for any help!
[edit] I've found someone! Thanks for all your suggestions <3
Hi everyone!
I am currently going into my second year in computer science, as well as currently taking a course in linear algebra. We have been assigned a project which requires us to interview people in the workforce who specifically uses concepts of linear algebra in their work. I have reached out to some people in a handful of other fields but had found that the use of linear algebra only applies to some very specific projects/jobs.
I am still very new to this field, so I want to explore the concept of linear algebra in relation to computer science. I was wondering if anyone would be available to help me answer some questions (small interview) about their background & jobs in relation to linear algebra?
Thank you!
Title says it all. I am getting ready to start engineering graduate school and my first class will be an online advanced engineering mathematics course... I've been out of school for 5 years now and haven't touched this stuff since. Any hep would be greatly apreciated.
CS major here...I registered for Linear Algebra this fall after passing Calc 2 (nightmare class)
I did terrible in calc 2 but still passed, and iβve never taken a proof based class before.
Anything i should know going in? How difficult is this class compared to calculus 2? Am i going to hate my life after the first 2 weeks?
Do you like statistics, data and stuff? I do :) I wasn't super terrible at math in middle and high-school, but to get B was an achievement. I still suck at math now. Never liked it. Then barely managed to enroll to university and get 100% scholarship. It wasn't hard, it's no big deal here in Kazakhstan(not like in the US). Every my classmate got it. I don't know a proper name of my major in English but it's something about industrial automation. I'm russian btw. Also started learning English 2 years ago. And now I'm halfway through the graduation, barely keeping up with my classmates. I'm in bottom 1/3. Now I can learn stuff in English and it's much more fun and much more content available than in my mother tongue. Now I decided to kill my fear of math and improve my math foundation. That's why I chose Khan Academy. Then I will use openstax books. So, as a result, I figured out that I learned math on Khan Academy more than in all 11 years of school combined.
TL;DR my m
... keep reading on reddit β‘Please note that this site uses cookies to personalise content and adverts, to provide social media features, and to analyse web traffic. Click here for more information.