Recent content by PatternSeeker

Hi everyone! This is an application question. I would like to get some advice about how to calculate a score based on a set of individual scores in a way that makes most sense. CONTEXT: I am going over some criteria for judging usability of hypotheses. I came up with a whole bunch about a...

Thank you chiro!

Hi, I am working on proofs of the difference identities for sine, cosine, and tangent. I am hoping to solve these using a specific diagram (attached). I was wondering if you could help me with the difference of cosines. Is it possible to derive it using the attached diagram? If so, how...

Hi, Thank you for answering. I see your point. A proof should reflect an increase in the length of "AB". What I would like to show is that angle Beta decreases (towards zero) at a quadratic rate. Apparently the decrease in that angle should be inversely proportional to (AB)^2. Any further...

Hi, I am working on a proof . Could you kindly check my work in the attachment? Am I addressing the problem correctly? Also, am I missing any steps? The problem is stated in the attachment. My work in progress and a relevant diagram are also included. Thanks in advance for your help.

Hi Stephen, I will get back to this soon. Thank you.

Thanks, Stephen!

Hi, Just a hypothetical problem... Lets say I test participants in three "light" conditions (dim light, bright light, no light) to see how they reach an object. There are 20 trials within each condition. There are four possible reaching trajectories (A, B, C, and D). Let's define them...

Hi Stephen, I appreciate your work. Can you just explain to mee exactly how did you get f(r) = f(r)=|arctan(r)−arctan(λr)| where r=tan(α)? If this is for a reported angle minus physical angle, wouldn't the equation read arctan(λr)-arctan(r)? Why did you use arctans the way you did? A few...

Stephen, I think you got it! Except that it's not arctan(1√λ), but that formula subtracted from 90 degrees. How did you arrive at that solution? I will try to figure this out on my own, but if you could clarify further, that would be great. Thank you so much

Hi Stephen, That may be so. Can you just tell me what λ stands for? Is it % error? In translation I would state the problem as: given that the % error in estimated lengths is less than zero, find physical angle α that maximizes the change between the estimated angle α' and the physical angle...

Thanks jedishrfu. That does look interesting. I will take a look at this & see if I could use it.

Hi LC Kurtz, Thank you for your kind email. This is not exactly what I was looking for though. What I'm after exactly is finding a formula that will tell me where the maximum change between reported and physical angles should occur as a function of (1) % error in reported lengths and (2)...

I need directions regarding methods that I could use for the following type of problem: I am given the following scenario: Observers consistently estimate objects as 20% shorter than they really are in the "y" dimension. They accurately estimate objects in the "x" dimension. ** error...

Hi Stephen, Thank you for your reply. I used the term "perceived" for angles that would be estimated by observers. In this example, they would report angle as 65 degrees. Real angles are physical angles. The data I put up on this portal are made-up. I used the formulas such as the one you...