Recent content by kai sinclair

found an error in my equasion, this is fixed $$ \frac {\left( cos(\theta_t) \sum (L_n cos(\theta_n)) \right)^2 + 2 cos(\theta_t) \sum (L_n cos(\theta_n)) sin(\theta_t) \sum (L_n sin(\theta_n)) + \left( sin(\theta_t) \sum (L_n sin(\theta_n)) \right)^2} {\sum (L_n sin (\theta_n)) \sum (L_n...

$$ \left( \left( cos(\theta_t) \sum (cos(\theta_n)) \right)^2 + 2 cos(\theta_t) \sum (cos(\theta_n)) sin(\theta_t) \sum (sin(\theta_n)) + \left( sin(\theta_t) \sum (sin(\theta_n)) \right)^2 \right) / \left( \sum (sin (\theta_n)) \sum (cos(\theta_n)) \right) = \left( \left( \sum (sin (\theta_n))...

$$ \left( \left( cos(\theta_t) \sum (cos(\theta_n)) \right)^2 +2 cos(\theta_t) \sum (cos(\theta_n)) sin(\theta_t) \sum (sin(\theta_n)) + \left( sin(\theta_t) \sum (sin(\theta_n)) \right)^2 \right) / \left( \left( \sum (sin (\theta_n)) \right)^2 + \left( \sum (cos(\theta_n)) \right)^2 \right) =...

okay this is what I can get one my own $$ \left( \sum (L_n cos(\theta_n - \theta_t)) \right)^2 = \left( \sum (L_n sin (\theta_n)) \right)^2 + \left( \sum (L_n cos(\theta_n)) \right)^2 $$ $$ \left( \sum (L_n cos(\theta_n - \theta_t)) \right)^2 / \left( \sum (L_n) \right)^2 = \left( \left( \sum...

I do suspect that sin function will be needed of the angle formula, just don't know where and if it'll be the only thing needed to be added

my angle formula only works if every instance of ##L_n## is the same, because the longer ##L_n## is the more disproportionately it's pairing ##\theta_n## matters so yes my angle forumla is not finished, it can't be used outside of very specific situations, I wish to expand it's reach

my final angle forumla is incomplete I know that, I'm trying to find the missing piece/s for it but lets have a look for the magnitude so cos(353-54.28)⋅0.672+cos(128-54.28)⋅0.614=0.495 no you haven't found a failure state for my magnitude, I suspect you used the incomplete angle forumla to...

that's the problem I'm trying to solve, but yes I started with magnitude and I could see the relation in the graphs, but less so with the angle

well hows a dozen or so and a proof? at least for the magnitude

you see a faliure state for the magnitude? can you give an example?

for those that enjoy the code version here we go these two are mine: $$ \sum (L_n cos(\theta_n - \theta_t)) = L_t $$ $$ \sum (\theta_n \frac{L_n}{\sum L_n}) = \theta_t $$ this one is incomplete these two are the long way around $$ \tan^{-1} (\frac {\sum (L_n sin(\theta_n)) }{\sum (L_n...

Dave, does my example in #13 help any?

yes these two methods are the long way round I described, I have evidence that there is a faster way to calculate both of these in the two other formulas

okay here's an example, you wouldn't find this anywhere but it should help explain what the hell I'm on about inputs L₁ L₂ L₃ θ₁ θ₂ θ₃ 10 10 10 15 70 -40 Pythagoras [∑(cos(θₙ)⋅Lₙ)]²+[∑(sin(θₙ)⋅Lₙ)]²=Lₜ²...

Vector sums, I need to calculate if a ciduit is in phase or not most commonly this boils down to a RLC circuit, but you can also have several circuits adding to together