#help-10

1 messages · Page 106 of 1

tardy epoch
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you did nothing wrong.

river compass
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well, I am glad

spiral knot
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remove Helpers role if you don't like that

obtuse pebbleBOT
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@river compass Has your question been resolved?

frosty spoke
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can you describe what you're doing / trying to do without so many big words? are you trying to model a black box?

river compass
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I have modelled a black box, but making new data points takes time (almost a minute, in fact). I have obtained several regressors using a symbolic regression library (pySR in particular). I am trying to figure out a method to add new data points in an efficient way, so that I can discard bad regressors and be more confident

river compass
frosty spoke
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what do you mean by "disprove"? what do you mean by "experiments"?

river compass
# frosty spoke what do you mean by "disprove"? what do you mean by "experiments"?

by "experiment", I mean a list of parameters [x0, x1, x2..] to input into the black box to produce a result, Y.
by "disprove", I mean exactly that. I do not believe the current hypothesis are good enough. Therefore, the optimal datapoints to add to the known data are those that will prove as many regressors wrong as possible (by being far away from their prediction). Since I do not know what Y will be beforehand, my intuition is then to test the points where each regressor's prediction are "maximally separate", by whatever possible definition of it

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An example (that comes from a previous test of PySR). Every line is the predicted values of a regressor.
My intuition is then to try and run a new experiment at ~1.3, since thats where every regressor disagrees the most with each other. I would like a general procedure to figure this out, though, not intuition.

frosty spoke
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okay first of all, what do you mean by "regressor"? You're using that word a lot, and it doesn't line up with the usage that I've seen

river compass
frosty spoke
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so you have a bunch of models for a particular black box

river compass
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possible models, yes. They are all bad

frosty spoke
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what makes you think that they are bad

river compass
# frosty spoke what makes you think that they are bad

i actually know how the black box should be (more or less: it imitates a real world process with a known formula), and I also have access to it and can make tests myself. I know these models arent complex enough. The interesting part of the project, though, is to make sure it can figure it out by itself. That way i can test other black boxes I do not know how they work, without me being there to give hidden information

frosty spoke
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how well do the models fit the data you've given?

river compass
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the best one is close, but it is missing data I think

frosty spoke
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what do you mean the model is missing data?

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models don't contain data

river compass
frosty spoke
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that doesn't make any sense

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a model does not contain data points

river compass
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I didnt say it contains them

frosty spoke
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how can something be missing something if it doesn't contain them

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that's like saying a gas tank is missing water

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are you saying that the model doesn't generalise well to data it hasn't seen?

river compass
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to miss something also means to not know about

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and yes

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well, it hasn't "seen" any data, models dont see

frosty spoke
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model parameters are estimated with data

river compass
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and if im being even more specific, it doesnt "see" anything at all, since the whole batch of possible models is produced at once by a single program

frosty spoke
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unseen data refers to data that was not used to estimate the parameters of the model

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I still don't know what you mean by a model is "missing" data

river compass
frosty spoke
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so you're basically saying that the models fit the data they've been giving fairly well, but they don't generalise very well to unseen data

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then usually there are two approaches to fixing that: regularisation (adding constraints to the model parameters / putting a prior belief on the model parameters) or giving data more reflective of the distribution of data that you're actually going to use with the model

river compass
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thats not what I want

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It doesnt matter to me how the regressor models are obtained. The problem is, as I said, giving them the right data given that finding datapoints themselves is expensive

frosty spoke
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well unfortunately it matters how models are estimated, because that directly affects how they perform on real-world metrics lol

river compass
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You cannot test a pharmaceutical cocktail in all possible dosages

frosty spoke
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in general, a black box can do whatever it wants with the inputs, and it can make absolutely no sense at all

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but that's only in the very strict sense that one can construct pathological black boxes

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most real-world problems are not that pathological

river compass
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This is why I said it imitates a real world process

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it is not weisserstrass function

frosty spoke
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the point is that the estimation procedure is literally what makes or breaks a model

river compass
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the estimation is fine

frosty spoke
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you tune your model so it is likely to produce reasonable outputs from the distribution of data that it will actually see

frosty spoke
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if the estimation is fine then what problem do you have? your models are perfect then

river compass
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for the data they were given, they are fine

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like I said at the begining, I am trying to add MORE data to their estimation

frosty spoke
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that says almost nothing about the quality of the estimation procedure

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in particular, there are ways to get models to fit the training data perfectly and completely fail validation against unseen data

river compass
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I know. So how do I antagonistically add more data to put those models to the test

frosty spoke
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that doesn't make much sense to do

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the overarching goal is that your model does well on predicting on inputs that are drawn from the same distribution of inputs that it is likely to see in practice

river compass
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no, that is not my goal

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it's not the goal of science in general either

frosty spoke
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that literally just isn't how it works

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you can't just say "no I don't want that"

river compass
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real world scientific testing relies on finding experiments that make or break hypothesis. Michaelson-Morley being a great example: measuring the fastest possible relative speed at the time.

frosty spoke
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this is literally the goal of prediction

river compass
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But i am not trying to predict

frosty spoke
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are you not trying to predict the values of the black box?

river compass
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no, I am trying to model the black box correctly

frosty spoke
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that is literally the prediction task

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you are trying to predict the values of the black box given the inputs

river compass
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that is part of it

frosty spoke
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unless you have some other goal, like interpretability or whatever

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but I doubt that

river compass
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obtaining the data is also part of it, and thats the part I have trouble with

frosty spoke
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huh?

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the data is a means to an end

river compass
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and yes, interpretability is important but thats why Im using a symbolic regressor

frosty spoke
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the data is used to estimate and select a model

river compass
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yes, and data is more expensive than compute time

frosty spoke
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okay you're completely missing the point

river compass
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I dont see how I can be missing the point

frosty spoke
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because you're saying a lot of things that are just contradictory and also just aren't following the basic principles of statistical modeling

river compass
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this isnt statistical modeling

frosty spoke
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if you want a refresher on it, I suggest reading the first few chapters of introduction to statistical learning or a similar type of book

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what you are asking isn't well-posed or well-defined

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literally the most charitable interpretation I can come up with for what you want is that you want a whole bunch of examples on which your current model candidates do absolutely horribly on

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and there's research into that that crosses over from deep learning / artificial intelligence involving adversarial examples, the simplest of which are gradient-based like FGSM

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but given everything else you've said, I highly doubt that will actually get you any closer to achieving whatever it is you want

river compass
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if this was statistical learning, there is an standard way of doing what I want

frosty spoke
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it's a pretty obvious mathematical fact that, given any finite number of examples, one cannot model an arbitrary black box for all input values

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and that seems to be what you seek to demand here

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so either you need to fix the problem of the black box being arbitrary by putting priors or constraints on it, or you need to solve the input values problem

river compass
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the information matrix of a set of statistical regressors can be used such that the information content of new data can be obtained. From that, it can be used to find maximal information experiments

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Unfortunately, i do not know any information matrix analysis of symbolic regressors

frosty spoke
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fisher information?

river compass
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When the linear (or linearized) statistical model has several parameters, the mean of the parameter estimator is a vector and its variance is a matrix. The inverse of the variance matrix is called the "information matrix". Because the variance of the estimator of a parameter vector is a matrix, the problem of "minimizing the variance" is complicated. Using statistical theory, statisticians compress the information-matrix using real-valued summary statistics; being real-valued functions, these "information criteria" can be maximized. ```
frosty spoke
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you don't need to explain to me what Fisher information is

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I learned it in my statistics classes

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I highly doubt Fisher information is what you want

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Fisher information does not depend on the data

river compass
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No, like I said, I know it is not what I want, since it deals with statistical regressors

frosty spoke
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it's used in things like the Cramer-Rao lower bound

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it's a total non sequitur

river compass
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"In the design of experiments for estimating statistical models, optimal designs allow parameters to be estimated without bias and with minimum variance. A non-optimal design requires a greater number of experimental runs to estimate the parameters with the same precision as an optimal design. In practical terms, optimal experiments can reduce the costs of experimentation. "

frosty spoke
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I suggest that you open a book, like the one by Hastie I gave you, and actually study the subject

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otherwise you're just quoting stuff from random articles that doesn't make any sense in context

river compass
frosty spoke
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I honestly have no idea, which is why I asked so many questions, but I got contradictory answers

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I told you that my best literal interpretation of what you're asking is that you want examples such that all of your models do poorly

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but I can't imagine anyone wanting that because it's mostly useless

river compass
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I want to design experiments, as stated on my first post

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I want to design them optimally, or close to optimal if not possible, as stated on my first post

frosty spoke
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none of that makes any sense in context though

river compass
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The optimality is given by the less runs possible

river compass
frosty spoke
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in the entire context of statistical modeling

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like what does this have to do with experiments

river compass
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I have said, all this time, this is not statistical modelling

frosty spoke
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it's not like you have come up with a model for your black box a priori and are trying to say yes or no does this model hold

river compass
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I have corrected you before, saying that "this is not statistical modelling"

frosty spoke
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you can say whatever you want, but fundamentally your problem falls into statistical modeling

river compass
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I have also added that, where this statistical modelling, I already know how to do what I want

frosty spoke
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you want to pick a model such that your black box fits well

river compass
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no

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I want to design experiments such that they are the best possible experiments, given what estimators I have. I then explain what "best" means

river compass
frosty spoke
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okay you never mentioned estimators before, so I'm going to assume you meant models

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and no

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you literally estimated the models off the data

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I don't want to rehash the basic principles of doing these things, because I feel like I wouldn't do as good a job as all of the resources out there

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but I highly suggest actually reading up on this stuff because you're not making much sense

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if you're not interested in the statistical inference parts, perhaps taking a look at some of the resources surrounding deep learning on the internet would help a lot

river compass
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this has absolutely nothing to do with deep learning

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this is a design of experiments problem

frosty spoke
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because that is literally a lot of what they do -- model a lot of complex phenomena that are black boxed out and use data to build models

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as I said

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you can say all you want, but how do you know you're actually right on that?

river compass
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what?

frosty spoke
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you're literally modeling a black box, and a lot of the deep learning basics have insights to the problem that you haven't grasped

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things like the bias-variance tradeoff, optimization, overfitting, model selection, regularization

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but it's up to you whether you actually want to do the reading or not

river compass
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Im starting to think I should just give you a bunch of numbers and see if you come up with an optimal method of asking me the right questions

frosty spoke
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and gathering more data is a part of it too. there are papers about data augmentation, but these are all done with a purpose

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and one last bit: it turns out that in decision theory, the criteria for optimality matter a lot, and that vastly different choices become optimal depending on how you look at it

river compass
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I can think of relationships between what I know of decision theory and Montgomery's Design and Analysis of Experiments (my handbook at the moment), but that would be a guess

frosty spoke
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decision theory relates to things like statistical hypothesis testing, model selection, estimations

river compass
frosty spoke
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number of runs until what?

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I can't give you an answer to your question because I don't understand what you want or what direction you want to go in

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none of it makes sense

river compass
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The optimal design is designed for a certain number of runs, such that the information gained in the experiments is maximized (this is called D-optimal)

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you can see it in page 466 of Montgomery's

frosty spoke
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as I said, I highly recommend reading / watching an introduction to deep learning and learning about the issues that result when using data to build a model

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you're just quoting things that don't apply in context

river compass
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How does what I just said dont apply?

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This is exactly what I meant when I said that my problem is that I have no clue how to obtain the information matrices of a design given that it does not deal with random variables

frosty spoke
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look, I cannot rehash and explain every aspect of the theory involved

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your talk about Fisher information matrices makes absolutely no sense in context

river compass
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you keep saying that, then not explaining how it makes no sense in context

frosty spoke
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what else would I say? if I told you to use logarithms here, that would also be an example of something that makes no sense in context

river compass
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I am aware of the language barrier but surely you can see a question like "How does one make a D-like optimal design, given I am not using statistical models?"

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All other, particular information, i thought, would help to understand how one reaches this problem

obtuse pebbleBOT
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@river compass Has your question been resolved?

obtuse pebbleBOT
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#
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Send your question here to claim the channel.

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lucid berry
obtuse pebbleBOT
lucid berry
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I don’t understand this because I think I need the future value to work it out but I’m not given that

obtuse pebbleBOT
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@lucid berry Has your question been resolved?

obtuse pebbleBOT
#

@lucid berry Has your question been resolved?

obtuse pebbleBOT
#
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Use .reopen if this was a mistake.

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Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

wind panther
obtuse pebbleBOT
elfin burrow
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How many of the remaining cards are black?

obtuse pebbleBOT
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@wind panther Has your question been resolved?

high lily
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please reread the question

wind panther
calm mesa
high lily
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please reread the question

calm mesa
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Made my day tbh

high lily
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i'll break the question down if needed based on your next response

wind panther
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49?

high lily
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no

trail musk
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How many black cards are there in a deck?

timid silo
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26

high lily
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not directed at you @timid silo

calm mesa
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I think they are assuming the entire deck is black which is not

wind panther
royal basin
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yes, there are 26 black cards in a deck.

trail musk
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Yes! Very good!

royal basin
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so now that 2 black cards have been drawn, how many black cards remain in the deck?

wind panther
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24

royal basin
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correct

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so now, there are 24 black cards remaining in the deck.

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how many cards in total remain in the deck?

wind panther
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24+52?

high lily
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no

calm mesa
high lily
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how many cards are in a standard deck of playing cards (not counting jokers)

restive fiber
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just use binomial probability formula no?

wind panther
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52 in stabndard deck

wind panther
high lily
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and after 2 cards have been drawn, how many cards do you have left in the deck?

high lily
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yes

calm mesa
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Yes

wind panther
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24+50

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??

high lily
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whuit

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what's 24+50 supposed to be

wind panther
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from???

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24?

restive fiber
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hhh

high lily
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why are you adding the number of black cards to the number of cards in the deck

restive fiber
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@high lily @calm mesa

wind panther
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thought thats how u do it

restive fiber
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stop the bullying

calm mesa
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You know you are left with 24 back cards from the remaining 50 cards in total?? Work with that

high lily
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it's like saying
i'm starting with 100
gave 2 away
leaving me with 98
but the total amount of money i have now is 198

calm mesa
wind panther
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24/50?

calm mesa
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Yes

high lily
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the total Ann is referring to, is simply the cards remaining in the deck

calm mesa
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Then simplify

wind panther
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12/25

calm mesa
#

Anyways sorry for laughing

calm mesa
wind panther
calm mesa
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MEAN = $\sum fx \over \sum f$

warm shaleBOT
wind panther
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i know what mean is

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i just dont know what number to put in

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do i use all numbers of frequency or score?

calm mesa
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Draw a table:
f = frequency
fx = frequency* score(x)
Efx = sum of all fx
Ef = sum of frequencies

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Then find the mean from that

wind panther
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okay thanks

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@calm mesa

restive fiber
calm mesa
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Form equations then solve

wind panther
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how to form?

calm mesa
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X + 115 + x = 180 --> Angles in a straight line add up to 180
X+115 + z = 180
Z+ y = 180
Those should be enough I think

calm mesa
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Y?

wind panther
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arent they both 90?

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Z and Y 180?

calm mesa
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Can't make assumption..Yes

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Z + y = 180 since they are on a straight line

wind panther
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so then X +115+90=180?

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wait no that doesnt work

calm mesa
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You cant assume any angles until you have solved them

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Remember sometimes seeing is not what is actually there

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Solve the equations I gave in that order then substitute accordingly

calm mesa
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Yep

wind panther
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Big X 30?

calm mesa
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There is no big X and small x all of them are the same it just my keyboard which is capitalizing the first letter

calm mesa
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x + x + 115 = 180
2x = 180 - 115
x = (180-115)/2

wind panther
calm mesa
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Yeah

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Then solve the second by substuting the value of x then solve the third

wind panther
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X+115 + z = 180

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32.5+115+32.5

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Z=32.5

calm mesa
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???

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Yeah

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It's correct

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Then solve for y

wind panther
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z+y=180

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180-32.5

calm mesa
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Yep

wind panther
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147/5

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147.5

calm mesa
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I think so

wind panther
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Sorry for all the questions

calm mesa
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Try adding all the angles after substituting .If they add up to 360 then it is correct

wind panther
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Just a new year and New topics

calm mesa
wind panther
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total surface area for cube is like a^6?

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a is like a side

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and idk what a side of this shape is it just gave me diagonal

calm mesa
# wind panther sounds right to me

If it is closed:
Total surface area = $6 * s^2$
(Assume it is closed if not told)
If open:
TSA = $5 * s^2$
Where s = length of the side

warm shaleBOT
wind panther
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would it be 4

restive fiber
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bro

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why are you makign them solve all of your homework

wind panther
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im not making them solve im learning on the procces ☺️

restive fiber
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this is what you tell yourself

wind panther
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mate tbh why do u carE?

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ur not helping r u?

calm mesa
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You can find side from Pythogarus -->
$ 8^2 = a^2 + a^2$
$64 = 2a^2$
$32 = a^2$ $\implies a = 4\sqrt{2}$ or 5.6569 to 4.sf

warm shaleBOT
wind panther
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im thankful hat @calm mesa is willing to help

restive fiber
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good lukc on your exam

wind panther
calm mesa
wind panther
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so the side is 4?

calm mesa
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So you side, a = can now be substituted in the formula

calm mesa
warm shaleBOT
wind panther
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4sqare 2

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and then with that how do we find surface area

calm mesa
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Or 5.6569 cm in actual length

calm mesa
calm mesa
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It's best to use $s^2$ as 32 for more accuracy

warm shaleBOT
wind panther
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5 x 32^2

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?

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6 x 32^2

calm mesa
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The last one

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From 6 sides when not told whether it is closed or opened

wind panther
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i got 6144

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is that right?

calm mesa
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Oh and it's just 32 and not the square of 32

wind panther
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got 192

calm mesa
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Since 32 is already squared

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Then its correct

wind panther
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@calm mesa r u free still

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or no?

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its fine if ur not

calm mesa
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I'm free

wind panther
calm mesa
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Just get the area in hectares and then multiply whatever you get by the 60 kg

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1 ha --> 60kg
x ha --> ? kg

wind panther
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500 x 300?

calm mesa
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The answer is in square metres..Convert to hectares

wind panther
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2500 hectares?

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500 x 300 =150000
150000/60

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is this right?

calm mesa
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No

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Math is not about just playing with numbers ..it is always done to achieve a certain goal

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You must have proper understanding to accurately formulate the answers

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As much as you have the area you must always remember the units (m ^ 2)

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Otherwise you might get confused...

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Then when you change to hectares remember you put ha at the end

wind panther
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so whats the equation for this

calm mesa
#

What I can tell you understand what you are doing otherwise all of this will be just a waste of your time

calm mesa
wind panther
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so what do i do?

calm mesa
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I'll solve this stepwise:
1: What does the question want --> Kg required to be planted in the land if 60 kg are on one ha
2: Ha is a unit of area .So I must get area first but in the end it must end in ha
3: What do I have ? --> The linear dimensions (length and width)
4: Ok. What do I know?

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Area = Length * Width
I substitute to get
Area = 500m * 300m
Area = 150000 $m^2$

warm shaleBOT
wind panther
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yes i agree to that

calm mesa
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5.What then?? I convert to hectares since
$ 1 ha = 10000m^2$
What about 150000 $m^2$?
This leads to 15 ha

warm shaleBOT
wind panther
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OHHHHH

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Oh NOW I get it

calm mesa
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Ok. I have area in hectares. Now if 1 hectare = 60kg what about 15 ha

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You must have clear understanding of what is happening to actually get to the correct answer

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That proper analysis is required

wind panther
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15ha=900kg

calm mesa
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Yeah

wind panther
#

ayyy

calm mesa
#

$\calc 15 * 60$

warm shaleBOT
#

Pyp
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

wind panther
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yea thats what i did

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so 900 kg as the asnswer?

calm mesa
#

Yeaj

wind panther
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@calm mesa got time in ur hands? still?

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Nearly done

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like 2 more questions

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its fine if u dont

calm mesa
#

And dont be excited when you see a similar question..Always read them twice

wind panther
calm mesa
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There are 2 ways you can solve this

wind panther
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tell me the easier way

calm mesa
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Both of them are easy but the first one is simpler compared to the second one

trail cloak
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Oooo

calm mesa
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1: Find the volume and then convert to cm3

trail cloak
#

You know how when you get Volume?

wind panther
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Area times Width or sumthing like that?

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Area x Width

trail cloak
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That's only area
Oo yeah that's it

calm mesa
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Or convert to cm units and then multiply

wind panther
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900 x 80?

trail cloak
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Yep

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What's your units?

wind panther
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72000

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mm

trail cloak
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Okay

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And how many mm^3 in 1 cm^3?

wind panther
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1000

trail cloak
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Okay so to obtain cm^3, what do you do to the mm^3?

wind panther
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x 1000?

trail cloak
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Hmm

calm mesa
#

First way
1: Volume = Area * Length
2: V = 900 * 80 = 72000 $mm^2$
3: 1 $cm^3$ = 10000 $mm^3$

trail cloak
#

Hmm

#

Those numbers for conversion look sketchy

calm mesa
#

Oh

wind panther
#

wait so i convert 7200mm2 to cm2

trail cloak
#

No no

#

You got volume

warm shaleBOT
trail cloak
#

$72000 \mathrm{mm}^3$

warm shaleBOT
#

VulcanOne

wind panther
#

is that the answer?

trail cloak
#

And you just said that

#

1000mm^3 = 1cm^3 right?

wind panther
#

yea

trail cloak
#

Okay solve for 1 mm^3

wind panther
#

divide 1000

#

????

trail cloak
#

Yep

wind panther
#

72000/1000

#

72?

trail cloak
#

Yeppppp

wind panther
#

72mm^3

trail cloak
#

cm^3

wind panther
#

oops

calm mesa
#

Yes dont forget the units (correct) ones

#

Nice

trail cloak
#

Oo

calm mesa
#

This questions always made miss that 100

trail cloak
#

Notice how the biggest lengths are the only lengths given

wind panther
#

oh yea tru

#

so we can find the smaller one with the biggest ones

#

the under the 30 is 15?

#

actualls dont wrry abt this one

#

i can do this by my self

#

this one gets on my nevres

#

nerves

#

THIS ONE SO HARD

#

pain in the but fr @trail cloak @calm mesa

#

so i found out

calm mesa
#

Assume that there is no time difference first:
Get the time difference: how long is one time from the other

wind panther
#

March 27th 1:00PM

to

Martch 28th 05:55AM

calm mesa
#

Yeah

wind panther
#

16hrs and 55mins

#

is that correcvt/

calm mesa
#

Then just add their time back since they moved from a region where time is ahead to a region where time was behind

wind panther
#

6hrs and 55min diffrence now

calm mesa
#

If they had gone where time was infronty u would have hadd to subtract

calm mesa
wind panther
#

16hrs 55mins - 10hrs?

#

isnt that what its supposed to be

calm mesa
#
  • Since they want back in time
wind panther
#

26hrs and 55mins

calm mesa
#

Yes.. According to me

wind panther
#

and with that 26hrs and 55mins what do i do with that??

#

oh thats the answer

#

YOO @calm mesa

#

IM DONE NOW

#

u fr a goat

#

i can sleep now even though 2am at night

#

UR A G FR

#

i wish i could give u virtual hug

#

u being saving life fr

calm mesa
#

Anytime

wind panther
#

.close

obtuse pebbleBOT
#
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prisma lintel
#

I uderstand what a limit is

obtuse pebbleBOT
prisma lintel
#

But i still have hard times uderstading the formal definition

#

Can someone explain me?

trail cloak
#

Epsilon delta

empty sky
#

He gonna have lots of fun

prisma lintel
#

wdym

trail cloak
prisma lintel
#

The video is private

empty sky
#

All it’s really saying is that as x gets closer to a point, then f(x) also approaches a value

trail cloak
#

How so?

prisma lintel
#

I'll watch the video

#

thx btw

#

.close

obtuse pebbleBOT
#
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trail cloak
obtuse pebbleBOT
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silver plover
#

when proving algebraic numbers

obtuse pebbleBOT
silver plover
#

can they be of any degree?

#

ie quadratics, cubics, quartics,...

unreal musk
#

The polynomials [with integer/rational coefficients] that make you algebraic can be of any [finite] degree greater than or equal to 1 yes

obtuse pebbleBOT
#

@silver plover Has your question been resolved?

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thick crystal
#

why does this functions is located in 2nd and 4th quadrant?

trail cloak
#

Hmm

#

When x is from (-infinity, -2), the fraction is positive

#

Then it becomes negative in between (-2, 3)

#

Lastly, (3, +infinity), your function will be positive and will approach 1

shell thistle
#

anyone knows how to do it?

#

question 2

trail cloak
#

!help

obtuse pebbleBOT
thick crystal
thick crystal
trail cloak
obtuse pebbleBOT
trail cloak
#

Please get your own channel

#

Thank you

thick crystal
#

@trail cloakokay go on

trail cloak
#

I finished

thick crystal
#

.close

obtuse pebbleBOT
#
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sand saffron
#

Should I introduce the +_ sign when I cancel log on both sides

high lily
#

um can you show a specific problem where this is coming up

sand saffron
#

Pic 1 is the textbook solution

sand saffron
#

I want to know why did they introduce the +- sign when they canceled log on both sides

#

.

#

U still online ?

#

Forget about my 1st question , lets settle that later

Pls answer my Q2 and Q3 now

#

@high lily sry to ping you

#

<@&286206848099549185>

obtuse pebbleBOT
#

@sand saffron Has your question been resolved?

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silver plover
#

hi

obtuse pebbleBOT
silver plover
#

do we only use euclids lemma for prime factors?

#

ie for this

#

can we not use euclids lemma since 6 is not a prime factor?

wise talon
#

whats the question

#

because that statement is wrong if b is a perfect square

silver plover
wise talon
#

abbotts analysis im guessing

#

u dont need euclids lemma for this

#

and no it wont work since 6 is not prime

silver plover
#

when do u use euclids lemma then

wise talon
#

so you are correct

royal basin
#

make your six not look like the lowercase letter b, for a start...

wise talon
#

oh god that was a 6

silver plover
#

Ann patrol again

wise talon
#

I thought it was a b

royal basin
#

well

silver plover
#

then again

silver plover
#

she has a point

royal basin
#

that only furthers my point doesn't it

#

yeah

#

anyway, you could nuke this with FTA i guess

silver plover
#

whats FTA

royal basin
#

fundamental theorem of arithmetic

silver plover
#

oh

royal basin
#

yknow the prime factorization thing

silver plover
#

ye ye

royal basin
#

the exponent on 2 in the prime factorizations is odd on one side and even on the other

#

and the same for 3

silver plover
wise talon
#

nope

#

do you know what the thm statement of euclids lemma is

silver plover
wise talon
#

yes can you see how

#

thats not the same

silver plover
#

ye

wise talon
#

"ann patrol" is hilarious btw

silver plover
#

lmao

wise talon
#

but yes do not write your 6 like a b

silver plover
#

ive done the proof

#

idk if its valid tho

silver plover
wise talon
#

yup this is fine

#

although

#

you should explain why 6 being a factor of a^2 means

#

6 must be a factor of a

#

its probably easier to go with saying a^2 is even

#

so a is even

#

and then

silver plover
#

i see

wise talon
silver plover
royal basin
wise talon
#

thank goodness you've never seen mine

silver plover
wise talon
#

to be fair ive never turned a 6 into a b so

#

exercise for you

#

i have no idea if it can be justified without using the irrationality of sqrt 6 btw

silver plover
#

could u just say

#

6 divdes a^2

#

a^2 = a times a

#

so 6 divides a?

wise talon
#

why though

silver plover
#

i was gonna say this is a bit like euclids lemma

#

but 6 aint prime

wise talon
#

you still havent justified it

silver plover
#

this is an example

wise talon
#

I mean you can finish the proof by just saying

silver plover
#

from my lecturer

wise talon
#

since a^2 is even then a is even

silver plover
#

and he hasnt justfied it

wise talon
#

yes ik what euclids lemma is

#

because 3 is prime

#

thats the justification lol

silver plover
#

thats same as what i said

#

basically

wise talon
#

no....

silver plover
#

if 6 divides a^2

wise talon
#

you said 6

silver plover
#

then a divdes 6

wise talon
#

that is completely unjustified

silver plover
#

yh but all multiples of 6 r even

wise talon
#

yes I know

#

so say its even

silver plover
#

so its kinda the same thing

wise talon
#

no

silver plover
#

why thp

wise talon
#

it is not

silver plover
#

tho

#

but

#

thats the markers fault

#

they should have common sense

#

for realsing that

wise talon
#

yes, if 6 divides a^2 then a^2 is even

#

no....

#

no no no

silver plover
#

😂

wise talon
silver plover
#

ok but i get wat u mean

#

kl

wise talon
#

its an unjustified assertion

#

6 is not prime so euclids lemma does not apply

#

if you can prove 6 dividing a^2 implies 6 divides a WITHOUT using the fact that sqrt 6 is irrational

#

then you can use that

silver plover
#

i see

wise talon
#

otherwise just make your life easy and say 6 dividing a^2 means it is even

silver plover
#

ok

wise talon
#

uh no a will not be equal to 6k

silver plover
#

before

#

oh is it cuz i changed it now

wise talon
#

sigh

#

yes

#

its a proof, you need to think a bit

silver plover
#

allow it got a real analysis exam next week

wise talon
#

yes this is abbotts real analysis book

silver plover
#

and i gotta teach mysef everything in a week

#

...

wise talon
#

im guessing

#

good luck lol

silver plover
#

this is my lecturers

#

book

wise talon
#

wait what

#

oh

#

maybe prove sqrt6 irrational is a common one

silver plover
#

lma

wise talon
#

i know its in chapter 1 of

#

understanding analysis

#

unless he's ur lecturer lmao

silver plover
silver plover
#

for the last bit?

wise talon
#

which last bit

silver plover
wise talon
#

sure but no need

#

2a^2 is even so 3b^2 is even

#

either 3 is even or b^2 is even

#

obviously 3 is not even

silver plover
wise talon
#

yes

silver plover
#

rare L

wise talon
#

i make mistakes all the time tho

#

its not rare

silver plover
silver plover
wise talon
#

lgtm

silver plover
#

.close

obtuse pebbleBOT
#
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static pebble
#

can someone pls explain

obtuse pebbleBOT
#

@static pebble Has your question been resolved?

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#
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static pebble
#

.reopen

obtuse pebbleBOT
#

timid yacht
#

call one side a, the other b

#

write the perimeter and the area using those

#

then use this

obtuse pebbleBOT
#

@static pebble Has your question been resolved?

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warm arch
#

first semester in college algebra id love to know how to work through and get this answer. also would love to know what "i" is and where its applications are

wooden cipher
#

i=sqrt(-1)

warm arch
#

oh wow

wooden cipher
#

Youll se its application a lot when you get into physics of rotations and stuff

#

Polar form, de moivres theorem, etc

warm arch
#

so i, in this problem would be sqrt of 5 then -1 ?

silver plover
#

i is sqrt(-1)

warm arch
#

im still stuck trying to solve the question at all. i have the answer sure, but i have no idea how to get too that answer. i get stuck somewhere in the simplifying part

silver plover
#

ok so

#

simplify

#

the inside

#

of the sqrt

#

and tell me what u get

warm arch
#

220

silver plover
warm arch
#

yes

silver plover
#

well ur wrong

#

try again

warm arch
#

-20

silver plover
#

yes

warm arch
#

okay that helped, ive got the process to get sqrt of 5 over 5

silver plover
#

gd

warm arch
#

but at what point does i join in there

silver plover
warm arch
#

unsure, i know sqrt of 20 is 2xsqrt5 but -20 would have to be a - and + multiplication.

silver plover
#

so think

#

how u can use i

#

which is the sqrt of -1

#

and re write sqrt -20 using that

warm arch
#

im lost

silver plover
#

smh

warm arch
#

.close

obtuse pebbleBOT
#
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dawn quarry
#

You invest $400 in a magazine stand. You buy each magazine at $3.00 and you are planning to sell them at $7.00.

dawn quarry
#

My answer would be 400 = 3x + 7

#

But I’m unsure if this is correct or not

dawn quarry
digital remnant
#

you buy n magazines, each costs $3, for $400

#

i would want to find the numbers of magazines i can buy

dawn quarry
#

so that’s 3n = 400?

digital remnant
#

mhm

#

yes

dawn quarry
digital remnant
#

not really

#

it is

#

but it doesnt help us in this problem

#

i suppose we want to know how much of a profit we can make

#

we know that we buy one magazine at $3

#

and sell it 7

#

so we buy n magazines for 3

#

sell n magazines for 7

#

and find benefits

digital remnant
#

have you ever solved equations

dawn quarry
#

Yes

digital remnant
#

nice

#

do you see where this is going ?

#

you can tell me

dawn quarry
#

Yes

digital remnant
#

good

dawn quarry
#

For n

digital remnant
#

yes

dawn quarry
#

but it’s just asking for an linear function

#

Not to solve it

digital remnant
#

oh

#

is it

#

ok

#

i didnt know

#

linear function of buying or selling ?

#

both perhaps

dawn quarry
digital remnant
#

yes

#

im sorry

#

i thought it required the sales

dawn quarry
#

it’s okay

#

that’s correct?

digital remnant
#

mhm

#

why the +7

dawn quarry
#

should it be minus 7?

digital remnant
#

idk

#

what is the question asking for

dawn quarry
#

To write a linear function to represent the situation

digital remnant
#

i dont see why we would need a linear function

#

we know how much magazines we have

#

how much we sell

dawn quarry
#

.close

obtuse pebbleBOT
#
Channel closed

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dawn quarry
#

I get it now, thanks

obtuse pebbleBOT
#
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tardy epoch
#

(7, 9) is correct

royal basin
#

this is a technical issue

#

(7.9) is not valid interval notation

#

(7, 9) is seven, comma, nine. not seven and nine-tenths.

#

have you tried submitting it with the comma

obtuse pebbleBOT
#

@waxen fossil Has your question been resolved?

#
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twin root
#

I don't understand this question

obtuse pebbleBOT
trim locust
#

Between what times does the line go up?

twin root
#

I guess 0 hours and 2/3

#

and it's all down from there

trim locust
#

Ok

#

So the level of ibuprofen increases between the <BLANK> hours and <BLANK> hours

twin root
#

0 and 2/3

#

and I am stuck on another one as well..I'm struggling with these graph questions

#

I realize that it's always going up by 0.6, but I don't understand what it wants me to do

trim locust
#

Hold on let me read it

twin root
#

I'm not use to algebra either so I'm unsure where my x should be

trim locust
#

Let’s clear some of the clutter from the question

#

That’s the data

twin root
#

Yep

trim locust
#

What column is x which is y

#

Refer to the question

twin root
#

x = year

#

y = trunk

#

diameter

trim locust
#

Perfect

#

You said they all go up by 0.6

twin root
#

yea

trim locust
#

I think it’s easier to think about this in words
The tree diameter grows 0.6 per year

#

I put the bits in bold, how much will the tree diameter grow in 2 years

twin root
#

1.2

trim locust
#

How much does the diameter grow in x years

twin root
#

If x = 2 years then 1.2

trim locust
#

But now we want to say how much does it grow every x year where x could be any number

#

When I asked you for every 2 years, you did 0.6 . 2, now I want every x years you should do

twin root
#

Idk wym by x years

#

AHHH

trim locust
#

Right so

#

We said x is the number of years right

#

I picked x = 2 and you told me how much itd grow, you multiplied it by 2

#

So let’s say we have some number x years, and x can be anyyyy number, how will we know how much it grows? Can you write a formula? Instead of 0.6 * 2 it’ll be 0.6 *...

twin root
#

All I know is every 2 years = 0.6 diameter and so 1 year would more than likely be 0.3

#

So I could just go year by year

#

But Idk what it's asking me to write

#

I'm pretty much noob at algebra stuff

trim locust
#

You know that every year

#

This tree grows 0.6

twin root
#

It's technically every 2 years right?

trim locust
#

Yeh my bad didn’t read the question close enough, so every year is 0.3

#

Let’s say the letter x is SOME NUMBER any number whatsoever, and this number represents the number of years

#

Are you following

twin root
#

Yeah

trim locust
#

How do you work out how much it has grown over those x years, remember it grows 0.3 every year

twin root
#

I just add 0.3 by each year to solve what it would be the next

#

or 0.6 for every 2 years

trim locust
#

Ok

#

The number of years is x

#

So it’s 2*x

obtuse pebbleBOT
#

@twin root Has your question been resolved?

obtuse pebbleBOT
#
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timid silo
#

Can someone help me by this

If S (t) = a Cos 2t
Find a (6)

obtuse pebbleBOT
#

Please don't occupy multiple help channels.

timid silo
#

<@&286206848099549185>

tardy epoch
#

can you take a picture of the original question

#

or screenshot

timid silo
#

But its in arabic

tardy epoch
#

the math is what matters

#

translate the rest

timid silo
#

Ok just a minute

#

Here is the question

#

A body moves in a straight line according to the relationship S (t) = a cos 2t, where S: distance in meters and T: time in seconds, a constant that the acceleration of the body when it travels a distance of 6 meters is??

#

@tardy epoch

trim locust
#

How do you get a formula for acceleration?

timid silo
#

By speed derivation

trim locust
#

Do you have an equation for acceleration

timid silo
#

No i only have the formula of distance

trim locust
#

How do you find the equation for speed

timid silo
#

<@&286206848099549185>

trim locust
#

I'm helping you -

timid silo
#

By the distance derivation

trim locust
#

Can you differentiate the distance function

timid silo
#

-2a sin 2t

trim locust
#

How do you now find acceleration equation

timid silo
#

By speed derivation

trim locust
#

Please may you compute the acceleration function

tardy epoch
timid silo
#

So you want to solve it with you step by step??

trim locust
#

?

tardy epoch
trim locust
#

At some point most people it clicks and you're supposed to realise why you're doing what you're doing, and perhaps suggest what to do next without me telling you

timid silo
#

Can you just give the answer @trim locust

trim locust
#

No

timid silo
#

Why

steel marsh
#

that's not what these help channels are for...

tardy epoch
#

do your own work

steel marsh
#

we're here to help you learn not enable you to cheat your way through a problem

timid silo
#

Ok thank you

trim locust
#

Ok, the answers 93842.3 ms^-2 have you learnt how to do it if you change the numbers

trim locust
#

Yes of course it is thats why i said it

jaunty sigil
#

?

trim locust
#

I said it to prove a point, they wouldn't know if it's right or not (in context of the question its clearly wrong)

jaunty sigil
#

Oh ok

#

Thx

obtuse pebbleBOT
#

@timid silo Has your question been resolved?

obtuse pebbleBOT
#
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#
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frozen carbon
#

I have a point in 3d space, and all properties about the 3d space are relative to the point; the roll, yaw, pitch and X, Y, Z of the point is always at 0, no matter how it moves or rotates in relation to everything else.

If I had a plane x distance in front of the point, and the point rotates y amount of degrees in the yaw rotation (or any transformation of the point possible), is there a formula to reliably calculate the X, Y, Z, roll, yaw and pitch of the plane?

frozen carbon
#

A crude visualization of what my problem is

obtuse pebbleBOT
#

@frozen carbon Has your question been resolved?

obtuse pebbleBOT
#

@frozen carbon Has your question been resolved?

dark stirrup
#

You should have a transformation matrix T1 defining origin to point. The a matrix T2 from origin to plane

#

Matrix from point to origin should be T1^-1*T2

frozen carbon
#

the origin would be 0,0,0 on the actual 3d space excluding all the point stuff?

dark stirrup
#

I may be misunderstanding the question. You're saying point can move, yet it stays as the origin? So there should be some master reference point somewhere, right?

obtuse pebbleBOT
#

@frozen carbon Has your question been resolved?

frozen carbon
dark stirrup
#

This is confusing then: "and the point rotates y amount of degrees in the yaw rotation (or any transformation of the point possible)"

#

because how can the point rotate or translate without another reference point?

frosty spoke
#

a point cannot have roll, yaw, or pitch

#

doesn't make much sense

#

you're basically saying that the point is the origin, and rotations are done around an axis through the point

#

but you haven't specified the axes through the point either

#

and further, there is no "X Y Z" of a plane -- a plane consists of many points

obtuse pebbleBOT
#

@frozen carbon Has your question been resolved?

obtuse pebbleBOT
#
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#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

deft forge
obtuse pebbleBOT
deft forge
#

Guys I am so lost on this! Someone please guide me!

#

I did this so far. But I don't know if it is right.

fallow cove
#

yeah

#

but you have to calculate the decimal digits for b

deft forge
#

Ohh! How do I do the long division for this?

fallow cove
#

just keep going by adding a .0

#

cuz 355=355.0

#

and 326=326.0=326.00=326.000and so on

deft forge
#

I really don't understand that.

fallow cove
#

ok

deft forge
#

I know we can find it using a calculator but I don't know the long division method with decimals

fallow cove
#

should be smth like this

dark stirrup
#

btw typo here:

fallow cove
#

oh yeah

#

should be 326

deft forge
#

Oh my bad!!

#

I will redo the question

#

Finished part a

#

Will attempt part b now

dark stirrup
#

,rcw

warm shaleBOT
dark stirrup
#

Looks good so far

fallow cove
#

yeah

deft forge
#

So do I do 355 divided by 113 next?

dark stirrup
#

113 divided by 355

deft forge
#

So something like this?

dark stirrup
#

,rcw

warm shaleBOT
dark stirrup
#

That's 355 divided by 113

deft forge
dark stirrup
#

Good so far

deft forge
#

Do I round the last digit?

#

The 2 to a 3

dark stirrup
#

should be 113÷160

deft forge
#

Ohh

dark stirrup
#

,rcw

warm shaleBOT
dark stirrup
#

How'd you get 7?

#

(at 3.7)