B Sine Multiplication

AI Thread Summary
The discussion revolves around the proper approach to multiplying sine functions in equations, specifically whether to multiply all numbers first or apply the sine function to individual components. The user also questions the validity of substituting t=0.66 for t=1 in a specific equation, which lacks clarity. Participants emphasize the need for clearer expressions and examples to facilitate understanding. Additionally, there is a correction regarding the decay of Carbon-8, which does not undergo alpha emission as initially suggested. Overall, clarity in mathematical expressions and understanding the context of equations are crucial for accurate problem-solving.
Vilhjalmur Haldorson
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Sine Multiplication
Hi, I am doing a sine quation which has multiple numbers along the line.I was wondering when multiplying the equation out do I multiply all the numbers then sin function that number or do I sin the number beside the sine function and then multiply it out?
The equation is: sin h bt/ bt.
I also have another question, if t does not equal 1 and an equation requires that it equals one then can I use 0.66 instead of one or is the equation set for when t=1 and cannot be used with t=0.66?
 
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Lets start at the beginning:

Is this something that has to do with using Laplace transforms?

$$f(t)=\sinh(bt)=\frac{e^{bt}-e^{-bt}}{2}$$

or is your expression $$\frac{\sinh(bt)}{bt}$$ or $$\frac{\sin(hbt)}{bt}$$ ?
 
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Vilhjalmur Haldorson said:
Hi, I am doing a sine quation which has multiple numbers along the line.I was wondering when multiplying the equation out do I multiply all the numbers then sin function that number or do I sin the number beside the sine function and then multiply it out?
What does "multiple numbers along the line" mean? Also, your question would be more comprehensible if you provided an example of what you're talking about.
Vilhjalmur Haldorson said:
The equation is: sin h bt/ bt.
First, this is not an equation -- an equation expresses the equality of two expressions (or possibly more) and has an = symbol between the expressions.
Second, what you have written is too ambiguous for us to even tell what it's supposed to represent.
Vilhjalmur Haldorson said:
I also have another question, if t does not equal 1 and an equation requires that it equals one then can I use 0.66 instead of one or is the equation set for when t=1 and cannot be used with t=0.66?
What equation? Why does some "equation" require that t = 1?

You're going to have to be a lot clearer in your questions if you want reasonable replies.
 
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Sorry Im doing a continuous uniform distribution from the beta distribution using Mx= sinh(bt)/bt but Ive already fugured it out.It doesnt matter they both come out the same way.But that is not always the case. , and t=1 in a hypoerbola , but t=0.66 for me . Im doing the alpha decay of the carbon 8 to Nitrogen and C13. but eh stable alpha soes not seem to equate out.SO I am doing the uniform distribution from the beta distribution and then the continuance of the beta distribition at (x-a)^a-1(b-x)^B-1 / B(a,B) transpose (b-a)^a+B+t , a< x< b, a>0,,B > 0 and then normally distribute it, but Ive been thinking mybe I should do a student t instead first.
 
Vilhjalmur Haldorson said:
Im doing the alpha decay of the carbon 8 to Nitrogen and C13.
Carbon-8 does not decay by ##\alpha##-emission. It decays by double proton emission to beryllium-6.
 
That's great that you figured it out.

In the future, please learn to use latex to enter your math expressions. We have a simple guide. See my signature below for the link to Mathjax/latex help.
 
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