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Numerical Analysis and Simulation
The study of algorithms for problems related to continuous mathematics
818 Questions
To the nearest number what is the mean number of letters per word in this sentence?
4. (67 letters divided by 16 words = 4.4667 letters per word.)
What are the chances of 3 people agreeing to a time in 1 day?
It depends on what you mean by "agree to"...
If the choices are purely random and independent, and your resolution is (lets say during working time) one of eight hours, then the probability is simply (1 in 8) squared1, which is about 0.0156. If your resolution is to the nearest minute, in any time of the day, then the probability is (1 in 1440) squared, which is about 4.82 x 10-7.
In practice, however, the choices are not random nor independent. Most people will pick certain times, favoring them over other times. Most people, when presented with the choice of the other people, will tend to bend their choice in order to compromise. There is, as a result, no way to answer this question any better than this.
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1Its squared, rather than cubed, because the first choice has a probability of 1, so we are left with only the two remaining choices.
How is 16 and one half simplified?
16 and one half is a simple as its going to get, unless you want to consider a single fraction, in which case it is 33 / 2.
No, a crescent is not a polygon. It is the area between two arcs of different radii that intersect each other.
Theoretically, the crescent could be considered to be a polygon with an infinite number of infinitesimally small sides, but that is not the standard interpretation.
Reqd no. is 9 -digits.. available digits are 1 2 3 4 5.. Numbers which are divisible by 4 can be determined by the last two digits.. from the given combinations,, the numbers div by 4 are 12, 24, 32, 44, 52
so.. the number's last two digits can be any of the above 5.
Hence, we have to calculate the combinations for the first 7 digits..
Ans: (5C1)^7 * 5
ie 5^8 = 390625
When constructing a rate the denominator refers to?
The answer depends on how the rate is measured.
Consider the fuel efficiency rate for cars. Under the outdated Imperial system, it is measured as miles per gallon and the volume of fuel is the denominator. The SI definition is based on litres per 100 kilometres. So the distance travelled is the denominator.
What is the difference between insantaneous speend and average speed?
The instantaneous speed is the speed of a moving body at an instant. Average speed is the overall speed through a period of time. These are two important aspects of differentiation in calculus.
60
Father age is 50. today
How many different types of graphs are there?
Infinitely many. You can represent almost anything using a graph. One of my favourites is Minard's graph of Napoleon's march into Russia. See, for example, http://en.wikipedia.org/wiki/French_invasion_of_Russia#Weather_as_a_factor
What are the Different steps involved in solving a problem by using simulation method?
You need to give more information about which specific method you mean. simulation in numerical analysis just means using a computer to run different algorithms to solve continuous problems that can't be solved by normal or analytical methods. Considering the large amount of different algorithms there are for different topics and even different variations on those algorithms, I can't answer your question unless you specify which method it is you want to know the steps for.
How many ways can you arrange the following numbers 2 3 4 5 7 9?
There are six distinct numbers, [2 3 4 5 7 9], so the number of permutations of those six numbers is 6 factorial, or 720.
What is short time fourier transform and what are its properties?
The fractiona lFourier transform (FRFT) is a potent tool to analyze the chirp signal. However,it failsin locating the fractional Fourier domain (FRFD)-frequency contents which is requiredin some applications. The short-time fractional Fourier
transform (STFRFT) is proposed to solve this problem
The height, in feet, above the ground at time t, H(t) = 40 + 32*t - 16*t2
