math

Ordering functions by Asymptotic Growth Rate

亡梦爱人 提交于 2021-02-07 08:59:00
问题 List the following functions in non-descending order of asymptotic growth rate. If two or more functions have the same asymptotic growth rate then group them together. g1(n) = n g2(n) = n^3 +4n g3(n) = 2n log(base 2) n g4(n) = 2^n g5(n) = 3 ^ (3 * log(base 3) n) g6(n) = 10^n I've been looking through several examples online but I have no idea how to do this, it just seems like a completely foreign concept to me. If anyone could help me, that would be much appreciated. how do I even calculate

Best way to convert a double to String without decimal places

大城市里の小女人 提交于 2021-02-07 07:59:35
问题 What is the best way to convert a double to String without decimal places? What about String.valueOf((int) documentNumber)? The doubles always have 0 after the decimal dot. I don't need to round or truncate 回答1: If you are sure that the double is indeed an integer use this one: NumberFormat nf = DecimalFormat.getInstance(); nf.setMaximumFractionDigits(0); String str = nf.format(documentNumber); As a bonus, this way you keep your locale's configuration as in thousand separator. EDIT I add this

Best way to convert a double to String without decimal places

无人久伴 提交于 2021-02-07 07:58:26
问题 What is the best way to convert a double to String without decimal places? What about String.valueOf((int) documentNumber)? The doubles always have 0 after the decimal dot. I don't need to round or truncate 回答1: If you are sure that the double is indeed an integer use this one: NumberFormat nf = DecimalFormat.getInstance(); nf.setMaximumFractionDigits(0); String str = nf.format(documentNumber); As a bonus, this way you keep your locale's configuration as in thousand separator. EDIT I add this

How to correctly compute direct kinematics for a delta robot?

对着背影说爱祢 提交于 2021-02-07 06:03:19
问题 I'm trying to put together a simple simulation for a delta robot and I'd like to use forward kinematics (direct kinematics) to compute the end effector's position in space by passing 3 angles. I've started with the Trossen Robotics Forum Delta Robot Tutorial and I can understand most of the math, but not all. I'm lost at the last part in forward kinematics, when trying to compute the point where the 3 sphere's intersect. I've looked at spherical coordinates in general but couldn't work out

How to correctly compute direct kinematics for a delta robot?

痞子三分冷 提交于 2021-02-07 06:02:13
问题 I'm trying to put together a simple simulation for a delta robot and I'd like to use forward kinematics (direct kinematics) to compute the end effector's position in space by passing 3 angles. I've started with the Trossen Robotics Forum Delta Robot Tutorial and I can understand most of the math, but not all. I'm lost at the last part in forward kinematics, when trying to compute the point where the 3 sphere's intersect. I've looked at spherical coordinates in general but couldn't work out

Set all BigDecimal operations to a certain precision?

回眸只為那壹抹淺笑 提交于 2021-02-07 05:20:20
问题 My Java program is centered around high precision calculations, which need to be accurate to at least 120 decimal places. Consequentially, all non-integer numbers will be represented by BigDecimals in the program. Obviously I need to specify the accuracy of the rounding for the BigDecimals, to avoid infinite decimal expressions etc. Currently, I find it a massive nuisance to have to specify the accuracy at every instantiation or mathematical operation of a BigDecimal. Is there a way to set a

Set all BigDecimal operations to a certain precision?

别说谁变了你拦得住时间么 提交于 2021-02-07 05:16:46
问题 My Java program is centered around high precision calculations, which need to be accurate to at least 120 decimal places. Consequentially, all non-integer numbers will be represented by BigDecimals in the program. Obviously I need to specify the accuracy of the rounding for the BigDecimals, to avoid infinite decimal expressions etc. Currently, I find it a massive nuisance to have to specify the accuracy at every instantiation or mathematical operation of a BigDecimal. Is there a way to set a

Fast method to multiply integer by proper fraction without floats or overflow

一曲冷凌霜 提交于 2021-02-07 05:14:54
问题 My program frequently requires the following calculation to be performed: Given: N is a 32-bit integer D is a 32-bit integer abs(N) <= abs(D) D != 0 X is a 32-bit integer of any value Find: X * N / D as a rounded integer that is X scaled to N/D (i.e. 10 * 2 / 3 = 7) Obviously I could just use r=x*n/d directly but I will often get overflow from the x*n . If I instead do r=x*(n/d) then I only get 0 or x due to integer division dropping the fractional component. And then there's r=x*(float(n)/d)

Fast method to multiply integer by proper fraction without floats or overflow

痞子三分冷 提交于 2021-02-07 05:14:38
问题 My program frequently requires the following calculation to be performed: Given: N is a 32-bit integer D is a 32-bit integer abs(N) <= abs(D) D != 0 X is a 32-bit integer of any value Find: X * N / D as a rounded integer that is X scaled to N/D (i.e. 10 * 2 / 3 = 7) Obviously I could just use r=x*n/d directly but I will often get overflow from the x*n . If I instead do r=x*(n/d) then I only get 0 or x due to integer division dropping the fractional component. And then there's r=x*(float(n)/d)

What is the arithmetic mean of an empty sequence?

梦想与她 提交于 2021-02-07 04:41:53
问题 Disclaimer: No, I didn't find any obvious answer, contrary to what I expected! When looking for code examples wrt. the arithmetic mean, the first several examples I can turn up via Google seem to be defined such that the empty sequence generates a mean value of 0.0 . (eg. here and here ...) Looking at Wikipedia however, the Arithmetic mean is defined such that an empty sequence would yield 0.0 / 0 -- A = 1/n ∑[i=1 -> n](a[i]) -- so, possibly, that is NaN in the general case. So if I write a