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17 Cards in this Set
- Front
- Back
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1/a + 1/b = _+_/_*_ |
1/a + 1/b = a+b/ab ex. i. 1/4 + 1/3 = 7/12 ii. 4+3/4*3 = 7/12 |
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log(10^a) = |
a ex. log(100) = log(10^2) = 2 |
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If log(a) = b, then a = 10...? |
10^b ex. If log(a) = 2, then a = 10^2 = 100 |
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log(ab) = __ + __ |
log(a) + log(b)
ex. log |
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log(a^b) = _log_ |
log(a^b) = b*log(a) ex. log(10^3) i. log(10^3) = log(1000) = 3 ii. 3*log(10) = 3*1 = 3 |
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log(a/b) = |
log(a) - log(b) |
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(i) take log of each side: log(Y) = log(B0B1^x}E) (ii) apply log(ab) = log(a) + log(b) R side: log(B0Bx1E)= log(B0)+log(B1^x)+log(E) (iii) apply log(a^b) = b*log(a) to log(B1^x): xlog(B1) (iv).*. log(Y) = log(B0)+xlog(B1)+log(E) |
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In(e^a) = |
a |
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meaning |
Taking sum of n values (lastsub#) of X variable, starting at i = 1 (1stsub#). |
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Solve |
Squaring the sum of variable X from Xsub1 to Xsub5 ## value of X1 to X5 each has to be unique, but doesn't have to be sequence nor in order ex. = 1^2 + 2^2 + 3^2 + 4^2 + 5^2 = 1 + 4 + 9 + 16 + 25 |
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Expl |
The summation of variable X squared is not the sum of variable X squared ex. ⚡3,i=1}i^2 ≠ (⚡3,i=1}i)^2 i. ⚡3,i=1}i^2 = 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14 ii. (⚡3,i=1}i)^2 = (1 + 2 + 3)^2 = 6^2 = 36 |
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Expl |
Product of identical n values are summed |
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The summation of the sum of 2 variables is the sum of each variables independent summation. ## applies minus/difference too |
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c is constant |
The summation of the product of a variable & a constant is the product of the constant and the summation of the variable |
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The summation of a constant is the product of the constant and n times constant summed. |
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~= meaning |
approx equal to (also ≈) |
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E |
