AKA: Para todo, Pfaffia paniculata.
Effects: Promotes energy and stamina. Has been used to treat exhaustion resulting from Epstein-Barr disease and chronic fatigue syndrome.
Dosage: Three to six capsules a day in three divided doses.blog comments powered by Disqus
Questions and Answers
How can you show the sum of positive entries or the sum of negative entries of diverging series must diverge?, If p_n is all the positive entries, and q_n is all the negative entries (and defined 0 elsewhere), obviously a_n=p_n+q_n. How can we show that if sum(a_n) diverges, then so must at least one of sum(p_n) or sum(q_n)
Also, if a_n converges conditionally, how can we show that both sum(p_n) and sum(q_n) must diverge?
If neither sum(p_n) or sum(q_n) were divergent, then sum(a_n) would be absolutely convergent, hence convergent:
|sum(a_n)|=|sum(p_n+q_n)| = |sum(p_n)+sum(q_n)| <= |sum(p_n)|+|sum(q_n)| < infinity
If sum(p_n) converged but sum(q_n) didn't, then sum(a_n) would diverge: say sum(p_n)=p (and sum(q_n)=-infinity) so sum(a_n) = p+(-infinity) = -infinity, so it wouldn't be conditionally convergent. The same argument applies swithcing the role of p_n and q_n. If neither of them diverged, we would be in the previous case: sum(a_n) would converge (which is not what we want).
So the only possibility is that p_n and q_n both diverge.
macro that sums values in excel until they reach a specified total, insert a break then start the sum over?, I need a macro that will sum the values in a column until they reach a specific total, then inserts a line (as a break between sets of values) and starts the sum over with the remaining cells. Basically I need to break columns into sections via specified ceiling on a running total.
Here's a macro that should do it. The specific total where it inserts a break is currently set at 100. You can set your own break point by changing the value in the line that look like this...
Tot = 100
To install the macro...
Alt + F11 to open the VB editor
Paste the code below in the edit window
When you run the macro, it will work on the column of the cell that is currently selected.
Dim r As Integer
Dim c As Integer
Dim Tot As Integer
Dim Counter As Long
Tot = 100
Counter = 0
c = ActiveCell.Column
r = Cells(65536, c).End(xlUp).Row
For Each Cell In Range(Cells(1, c), Cells(r, c))
Counter = Counter + Cell.Value
If Counter >= Tot Then
r = r + 1
Counter = 0
What is the largest sum of money you have lost?, I recieved cash for my birthday and it was put in an envelope in a big plastic bag that had all my other gifts. My mom came into my room did something with the bag and now the money is gone and I feel sad :(
So I'm wondering what's the biggest sum of money you have lost, like cash I mean, and how did you lose it?
My husband lost over 2,000.00 We went to cash his check then walmart to pick up a few things. Well we got all the way out the door and he told me he had to go back in to get something that he forgot, I tried to talk him out of going back telling him we could just get it later, but he would not listen. So I walked on to the car and he went in. A few minutes later he came up to the car with a dozen roses for me. I was so happy, then we carried the kids to eat and when he went to pay he barely scraped up enough money to pay for our food. i asked what the deal was and he told me all the money was gone, he lost it at walmart when he paid. We went back to walmart and for days we called to see if it was found or if we could look at the tape from the time we were there. We had no luck. He had to find some side jobs to make money. He is so proud he wouldn't accept help so when a preacher offered to help he wouldn't take it. The gas company wanted to cut our gas off over 15 dollars, they wouldn't extend it. He cut trees for somebody but when he got 4 cords cut for the guy he told him that his wife would only let him pay him 100 for all it. We had a very hard time for the next two weeks. but we did make it and were just fine. When we got home I just hugged him and told him not to worry. how could I be mad when he bought me roses just because? Now a couple of years later we laugh about it. I always tell him that maybe it went to somebody who needed it at least.
What is the fastest way to find the sum of positive factors of a number?, How do you find the sum of all the postive factors of a number if it is a big number? I have the number 504 and i am asked to find the sum of all the postive factors of that number. What is the fastest way to find it?
If N= a^x ·b^y·.... with a, b, ... prime numbers
nº positive divisors= (x+1)·(y+1)·....
Sum positive divisors= [a^(x+1)-1]/(a-1)· [b^(y+1)-1]/(y-1)]·....
==> 504= 2³ ·3²· 7
nº divisors= 4·3·2= 24
Sum = (2^4-1)/(2-1) ·(3³-1)/(3-1)· (7²-1)/(7-1)= 15· 13 · 8
What is the probability the sum of the second number will be 5 or greater?, Mary rolls two cubes numbered 1 - 6. She rolls 3 on Cube #1. Then she rolls the second cube.
What is the probability that the sum of Cubes #1 and #2's number will be greater than or equal to 5?
The second cube has 6 possible outcomes. The favourable outcomes are numbers 2-6. Therefore, the probability is 5/6 or 83.33~% that the sum of both cubes will be greater than or equal to 5 given the first cube was rolled a 3.
How do I calculate the sum of the highest three of four test scores using Excel?, I'm trying to use Excel to calculate 300+ students' final grades. All students take four exams, but we count only the highest three when calculating their semester grades. Is there some sort of formula that can determine which of the four to drop? Or that would calculate the sum of the highest three?
if the 4 scores were in cells c5 to c8, you could use the following formula:
What is the minimum number of unequal forces whose vector sum can equal zero?, What is the minimum number of unequal forces whose vector sum can equal zero?
My answer: I'd say two because the vector sum depends on the angle, not the magnitude of the force, so if we have two vectors with an 180 degree angle between them, their vector sum is zero. Is that right? I'm preparing for an exam, so I appreciate any idea. Thanks!
Wrong: every example of what you describe is a counterexample.
Say vector 1 = 1 m [north] and vector 2 = 2 m [north]
The angle between them 0 and they are not equal.
1 m [north] + 2 m [north] = 3 m [north], which does not equal 0
In general, given two vectors of unequal length, adding them will result in a non-zero vector because in order to have a zero vector sum, the first and second vectors must "cancel out." For example, if you travel left 1 metre, you must travel 1 metre right to return to your initial position.
The minimum is three:
Three vectors of unequal form a triangle.
What is the probability that the sum of 10 fair dice is divisible by 6?, Suppose we roll 10 fair standard dice. What is the probability that their sum is divisible by 6, assuming that the rolls are independent.
Whatever the first 9 dice come up,
there is only one possibility for the 10th.
So the probability is 1/6.
(Last die must be 6 - (other 9 mod 6)).
This holds for any number of dice.
How do you find the sum of the measures of the interior angles?, It's a question from geometry. The questions says: In a polygon, the ration of the number of diagonals to the sum of the interior angles is 33:340. What is the sum of the measures of the interior angles?
I think I have to solve the ratio first, and find out what n is. So, since the formula for finding the number of diagonals is 0.5n(n-3), and the formula for the sum of the measures of the interior angles is [(n-2)(180)], am I doing the problem right, if I wrote the equations as
0.5n(n-3) / [(n-2)(180)] = 33/340?
(n=the number of sides in a polygon)
all you have to do is (n-2)(180), because that is the sum, that is all you need!
What is the process for determining sum function of power series?, I'm currently in a droop in the chapter of calculus concerning power series.
Finding convergence intervals and expanding Taylor series are no problem. But how do I find the sum of a series as a function?
I've read the chapter front to back and searched online, but no one clearly explains this. The closest thing to an explanation is the definition of the "core" functions, such as E x^n = 1/1-x.
My question is this: is there a process or method to determining the function that is represented by a power series?
i think there is none...
so you have to be familiar with at least some of them...
the geometric series...
the exponential function...
sine & cosine functions...
some of them... you will encounter during the lessons... so take note of them... §