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hi bobbym
i would say e^n,but don't know why.
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Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Correct! You could take the limit of the ratio of them.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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ok.next?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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What is being said in the above statement? if x = .1 how accurate do you expect that series to be?
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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if i'm not wrong that's the approximation of the sin(x) function.
well it means that sin(x)x+x^3/6x^5/120<c*x^6 for some const. c>0
i expect the value of xx^3/6+x^5/120 to be at most 1 away from the value we wanted to calculate in the first place.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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The first part is correct. I do not like the second part.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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me neither.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Compute Sin[.1]
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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hi bobbym
i didn't see the decimal point.well my second guess would be 10^(6) but i'm not sure that one's correct either.could you tell me how it's done?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Yes, but it is better if you see it for yourself. Start by computing Sin[.1].
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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i have nothing against doing it by myself.just walk me through it.
sin(0.1)=0.0998... approx. 0.1
Last edited by anonimnystefy (20120121 08:23:08)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Use radians?
igloo myrtilles fourmis
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Hi;
That is not correct, please be a little more careful and I am walking you through it.
Hi John;
Yes, it is in radians.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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hi bobbym
i forgot a zero by accident.fixed it now.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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You will need more decimal places for this example.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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ok then.can do. 0.0998334.i think it's enough.
Last edited by anonimnystefy (20120121 08:29:37)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Now compute using that series the value .1
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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0.0998334...the same
i used alpha.it says the difference is about 2*10^(11)
Last edited by anonimnystefy (20120121 08:36:38)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Hi anonimnystefy;
Power went out for many hours and is only intermittent right now, sorry for the delay.
Here is a new question.
Big O gave us an error estimate of about 10^6 we can see that the error is much smaller than that, about 10^11. Can you explain that?
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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hi bobbym
well Big Oh gives us the maximum difference between the real value and the estimated value.
that's why it's sin(x)f(x)<x^6 where f(x) is a function of x i wrote above.
^

this here says so.the abs. difference of the real function value and the approx. value is less that x^6 for every x we have.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Also Big O does not care about a constant multiple that could be large. It is only concerned about the asymptotic properties.
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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hi bobbym
next one please.
btw,i just found out that the number coming out of justlookingforthemoment's saxophone av is a Harshad number.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Show that f(n)= (n+2)^3 is O(n^3)
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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hi bobbym
Last edited by anonimnystefy (20120122 02:23:12)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
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Hi;
Or:
Now because (n+2)^3 ≤ 8n^3 when n>1
An application:
I wish to evaluate e^(.1) using a taylor series to an error less than .000001 how can I do that?
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
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