56astro Custom Title Time!
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Qd = 60 x (1 - exp(-I / 3000x df))
How should the equation be written when trying to determine df:
df = ??
Can anyone help?
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56astro Custom Title Time!
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zac_smits Coolest Person Ever!
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i got the same thing!!!modulus wrote:Qd = 60 * (1 - exp(_I/3000*df)
exp(_I/3000*df) = 1 - Qd/60
-I/3000*df = ln(1 - Qd/60)
3000*df = -I / (ln(1 - Qd/60))
df = -I / (ln(1-Qd/60) */ 3000)
I've used more parentheses than striclty necessary for clarity.
hth.
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modulus wrote:Qd = 60 * (1 - exp(_I/3000*df)
exp(_I/3000*df) = 1 - Qd/60
-I/3000*df = ln(1 - Qd/60)
3000*df = -I / (ln(1 - Qd/60))
df = -I / (ln(1-Qd/60) */ 3000)
I've used more parentheses than striclty necessary for clarity.
hth.
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Ich fahre ein Kdf ein Tag Officially Full-On Dubber
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I get similar, but i reckon this is less confusing.modulus wrote:Qd = 60 * (1 - exp(_I/3000*df)
exp(_I/3000*df) = 1 - Qd/60
-I/3000*df = ln(1 - Qd/60)
3000*df = -I / (ln(1 - Qd/60))
df = -I / (ln(1-Qd/60) */ 3000)
I've used more parentheses than striclty necessary for clarity.
hth.
modulus Veteran Volks Folk
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Confusion is in the mind of the beholder, grasshopper.Ich fahre ein Kdf ein Tag wrote:I get similar, but i reckon this is less confusing.modulus wrote:Qd = 60 * (1 - exp(_I/3000*df)
exp(_I/3000*df) = 1 - Qd/60
-I/3000*df = ln(1 - Qd/60)
3000*df = -I / (ln(1 - Qd/60))
df = -I / (ln(1-Qd/60) */ 3000)
I've used more parentheses than striclty necessary for clarity.
hth.
From third last line:
-I/3000*df = ln(1 - Qd/60) multiply both sides by 3000/-I
1/df=((3000*ln(1-Qd/60))/-I)
df=1/((3000*ln(1-Qd/60))/-I)
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Lol, yes but i just prefer the inverse cos it looks nicer 1/(A/B). I am fond of brackets, the more the merrier!modulus wrote:Confusion is in the mind of the beholder, grasshopper.
Whilst they both give the same answer (ain't maths wonderful!), yours is in the form of:
x = 1/A/B
which to me looks like an unnecessary inverse. What's wrong with
x = B/A ?
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why don't you just write x=(A/B)^-1 to really be confusing.Ich fahre ein Kdf ein Tag wrote:Lol, yes but i just prefer the inverse cos it looks nicer 1/(A/B). I am fond of brackets, the more the merrier!
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:thumbLaughed me butt off!!!. I love the way that a fictional sci fi series can keep boffins guessing and trying to find ways of justifying if it can be made to be true. Sounds an awful lot like Scientology!!😂4ThALaStTiMe wrote:the Ultimate Answer to Life, the Universe, and Everything
:
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4ThALaStTiMe wrote:the Ultimate Answer to Life, the Universe, and Everything
Cardinal 42
forty-two
Ordinal 42nd
forty-second
Factorization 2 × 3 × 7
Divisors 2, 3, 6, 7, 14, 21
Roman numeral XLII
Binary 101010
Hexadecimal 2A
IEEE Float 42.0 = 42280000 hexadecimal
Hebrew מב (Mem Bet)
Bracketed by twin primes, this composite number's factorization makes it a sphenic number, as it is the product of the first three terms of Sylvester's sequence. It is also the third 15-gonal number, a Catalan number, a meandric number, an open meandric number. It is believed to be the third moment of the Riemann zeta function, based partially upon evidence from quantum mechanics.
In base 10, it is a Harshad number and a self number.
It is also a perfect score on the USA Math Olympiad (USAMO) and International Mathematical Olympiad (IMO).
http://en.wikipedia.org/wiki/The_Answer_to_Life%2C_the_Universe%2C_and_Everything#The_Ultimate_Answer
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I've actually got a highest individual score trophy from a Mathematical Olympiad 🤓4ThALaStTiMe wrote:It is also a perfect score on the USA Math Olympiad (USAMO) and International Mathematical Olympiad (IMO).