Admittedly, I am doing precalculus. Of course, sometimes questions will specifically ask for all solutions in [0, 2pi] or [-pi, pi]. But when that is not specified, I see the answer key of the same textbook sometimes list solutions in one interval or the other, and it seems arbitrary to me. Is there something I am missing? I guess this may count as a homework question, and if so I am sorry for wasting your time. When I search for help, I only get domains for specific trigonometric functions.
I do not need help solving these problems per se because I have done so already. I just need to know which domain to assume when it isn't specified. If you need the examples, the book lists the four solutions for z4 = 8+8(sqrt3)i in [0, 2pi], but it lists the four solutions for z4 + 81i = 0 in [-pi, pi] and I don't understand how those are two different types of problems.
Is selecting the domain of theta arbitrary or not? I would really appreciate your help.
With respect to my background, I have just completed my high school with a knowledge of basic differential and integral calculus; I am nevertheless seeking to cultivate an interest in pure mathematics.
On doing some research on the great mathematician Ramanujan, I found that he was prominent for discovering "Mock theta functions." While the name does sound pretty fascinating, I hope to find a good explanation regarding this topic. Thanks in advance !
(The Game is currently in Development)
Pokรฉcommunity Thread: https://www.pokecommunity.com/showthread.php?t=446932
(Credits to all people can be found on the thread)
Discord Server: https://discord.gg/VEXwjtp2D8
Pokรฉmon Theta at its core is an attempt to make a fangame as open world-ish as possible while having a lot of unique features or features rarely seen in Fangames. The work on this game started back in February (2020) but then development stopped for real-life reasons. I started it again late last year because I think such a Pokรฉmon Fangame should exist. The game is in development and I hope you all would like it.
The game connects to a server to transfer Pokรฉmon and data in and out, Which can be accessed from a Discord Bot from the server.
Here are some of the screenshots from the game currently (More on the thread, These screenshots just showcase features, Not storyline/gameplay.)
News System (There are more Online Functions)
Transferring Money, You can also trade Pokรฉmon
The Pokรฉmon command from Discord bot.
I have f(n) = lg(n)^(lg(n)) . (The base is 2 since I am dealing with algorithm analysis)
I have tried finding an equivalent growth function using limit method. But no matter how I try to manipulate the function, it seems like calculating the limit isn't possible.
I thought it would be equivalent to r^(n) since I can rewrite f(n) as 2^(lg(n * lg(lg(n)))) . Again, trying limit method didn't work, and I was unable to prove it either.
How do you go about finding theta for functions that just can't be reasonably derived making l'hopital for limits impossible?
Hello everyone. u/aero_0Ftime was having a bit of correspondence with me on my earlier "nontrivial zeros of the Riemann Zeta function in polar form" graph and the "zeta boye" graph by anonymous that he/she added upon and shared with me allowed me to learn about the Riemann-Siegel functions. And I decided I wanted to try implementing them as well. So here they are:
Riemann-Siegel theta: https://www.desmos.com/calculator/u3omof16v0?lang=en
Riemann-Siegel Z: https://www.desmos.com/calculator/g8enst4bz1?lang=en
For the Riemann-Siegel Z, the part I found the most interesting was how multiplying the Riemann zeta function with e^i(Riemann-Siegel theta(x)) could indeed cancel out the imaginary component. However, at this point I'm still wondering how to move ahead with these two functions to add onto the really cool "zeta boye" graph by anonymous u/aero_0Ftime shared with me. This was the original comment thread: https://www.reddit.com/r/desmos/comments/jgi2aa/5_nontrivial_zeroes_of_the_riemann_zeta_function/ You can see some of the cool things he/she developed from the original anonymous "zeta boye" graph. Anyway, I hope you enjoy :)
Hey all. I am very new to this topic and I recently learned about the asymptotic notations. I understand that, give a time function T(n), O(g(n)) means that g(n) is an upper bound, omega(g(n)) means that g(n) is a lower bound and theta(g(n)) means that g(n) is both.
For example if T(n) = 2n+1, then it is theta(n) since 2n+1 <= 3n for n >= 1 and 2n+1 >= n for n>=1.
However, I can't think of a T(n) for which we cant find a theta bound. Can someone, please, give me one or two examples of a case where we cannot find a theta(g(n)) for our T(n)?
Thanks a lot in advance.
Hi all, wondering if the relationship between theta decay and delta is 1:1 or linear/non linear etc (and how to examine this curve). Just from observation it looks like further OTM options have greater theta decay but I am not sure if my hopes are playing tricks on me or the nature of this relationship (for example the change in the rate of decay may be greatest as a function of price around a certain delta).
Anyone have any resources or experience with this?
I'm using matlab to calculate Forward kinematics and Inverse Kinematics of a robot arm which I'm using to study more about manipulators. I'm using servos for rotational joints. Calculating forward kinematics was easy using denavit hartenberg parameters, but when I'm using ikine function to inverse kinematics, it usually returns negative values for joints angles, and since I'm using servo motor, I'm not being able to use these values.
Is there a way to conditionate in order to only return positive values?
Alright, so I was trying to convert a video to 360ยบ with the ricoh theta basic app in windows, but the video made a 360ยบ spin at the start when converted. The thing is, that spin wasn't made when recording, and it didn't even show up in the non-converted video!
After some frustrated atempts I discovered that the issue was caused by the top bottom correction box marked before converting the video, but unmarking it deforms the video, which is even worse!
Any ideas on how to keep the video without the spin at the start AND the top bottom correction box marked?
I have 2 functions that I need to "convert" but im not sure where to start. I have tried looking back at my notes and looking online but I cant understand most of the explanations through talking so im hoping by someone typing it I will understand it better.
The first problem is
The first function is: Cos theta = -(Square Root 2 / 2)
For the second separate problem
My Second function is: Sin Theta = 1/2
My guess would be to somehow turn these ratios into degrees to find the reference angle..or something...right?
Any help appreciated!
Iโm looking for research on this and cant seem to find anything. Maybe Iโm looking it the wrong places but Iโm wondering if there has been anything done to find out if we do or do not, not just in primates but our further related specimen too like lobsters who we share serotonin function with. Perhaps an evolutionary look at brainwaves and the function of them throughout different species?
Hi friends,
I have a question. How do you integrate a Heaviside Theta function that is dependant on a logarithm. I mean, H(aยทlog(x))dx
Thanks in advance
Hello everyone, I'm new to statistics and data analysis and I have already had one question closed in a similar subreddit, so please excuse any mistakes, I hope my question is formulated adequately.
What I want to ask is how do I define a likelihood function for parameters given some dataset Likelihood(theta|X) if the parameters are actually input for a function that also takes X as input?
In detail my problem setup is the following: I have a dataset X, on which I have defined some function M(.) that gives me some estimate of a quantity of interest, the true value of which is known to me :M(X) = N'_x N'_x ~= true N
I then take X and perform a linear operation on it with parameters theta to produce a new dataset and then feed it through my function M(.) and see how this new dataset Y created from the original X performs:L(X, Theta) = Y, M(Y) = N'_y.
From this I have defined a cost function that I want to minimize:abs(1- N'_y/N) = abs(1 - M(L(X,Theta))
So what I am trying to find is the optimal parameters theta that will produce a Y, which gives the best estimate for N. I am trying to do this with MCMC and for **this I need a likelihood function Likelihood(Theta | X) which I don't know how to define.**What confuses me is the convolution, I just don't understand how Theta and X are related. Any ideas or reading material will be appreciated. On a side note, my original data X is time-series data from a Linear Dynamic System with some measurement error e. Y is just new linear combinations of the original data with coefficients theta.
Thanks!
i think i can't do tuis problem because it can't be a triangle if it has a height of 0
(2,0)
sin = ?
cos=?
tan=?
cot=?
csc=?
sec=?
Can someone please tell me how to do this problem? I have been stuck on it for an hour and cannot figure out how to do it. I do not need the answers, but I would like to know how to solve this problem.
