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Numerical Analysis and Simulation

The study of algorithms for problems related to continuous mathematics

818 Questions

Formula for a penny every day for a month doubled every day?

If we call the day number "d", the number of pennies "n" and the number you are multiplying by each day "m":

For how many pennies you get on a particular day: n = m^(d-1)

If doubling: subtract 1 from the day number, then raise 2 to the power of that number (using indices) you get the number of pennies.

For how many pennies you would have after a certain number of days: n = 1-(m^d)/(1-m)

If doubling: raise 2 to the power of the day number, then subtract that from 1 (1st part-answer). Subtract 2 from 1 (2nd part-answer), then divide the 1st part-answer by the 2nd part-answer, and you get the cumulative number of pennies.

NB: these formulas can be used for doubling, tripling, quadrupling, halving, quartering, etc. by replacing m with what you would multiply by, and can be used from any starting number. Just multiply your answer with your starting number

Why is the number 1099 called a sexdecillion?

1099 is not called sexdecillion. 1099 is called one thousand and ninety nine.

a sexdecillion is a 10 with 51 zeros after it.

See related link below for more info on sexdecillion

How do you extrapolate with only 2 data points?

you're not meant to.

But, if you have to,

let's say the first data point is (w,x) and the second is (y,z), the nth point will be equal to:

(w+n(y-w),x+n(z-x))

Does a 1978 camaro have points?

it depends. take the cap off the distributer and look underneath the button. should take like 2 minutes. No it does not as it has HEI meaning High Energy Ignition.

What is the difference between a forward and a striker?

Striker is furthest up the field. Goal poacher. A forward is the deeper auxiliary striker who creates chances with through balls, surging runs towards goal and forage deeper for the ball IE E.Adebayor / R.Van persie

Why study statistics?

People study statistics because they need to quantify external events, summarize experiment or research results, make data comparisons, and establish correlations between dependent events. There are many more uses of statistics, and they are important in different fields of study and specialties.

bye M.M.M (maleele)

What is the difference between acupuncture and acupressure?

Acupuncture involves the insertion of small needles into the skin at key points. Acupressure uses these same key points, but involves applying pressure rather than inserting needles.

What is the square root of 54?

Approximately 7.34847, rounded to 5dp. The square root of any number can be found through the Newton-Raphson and Secant fixed point iteration methods. See links below for more info.
7.3484692

Please show that the absolute value of absolute value of x minus absolute value of y less than or equal to absolute value of x minus y.?

to prove x|-|y≤|x-y| have to look at 4 cases:

a) x>0, y>0

b) x<0, y<0

c) x>0, y<0

d) x<0, y>0

(to save typing it out over and over again, i have shortened absolutes to abs)

For: a) the values dont matter both sides will always have the same value.

b) let x=-a, y=-b. Because of the abs around x and y, the left will be a-b and the right b-a so the left and right will have the same number but opposite signs, so after taking the abs on both sides, they will always be equal to one another.

c) let x=a, y=-b. The left will be a-b and the right a+b. if b<a then both sides are positive and the statement holds. if a<b then left is negative and right positive, but because you're starting from above 0 when you take away b (on the left side) once you take the abs left will be less than the right. when a=b the left is just 0 and right is positive so statement still holds.

d) let x=-a, y=b. left is a-b again, but the right is-a-b so always negative. if a<b then a-b is negative but not as low as -a-b so left is less than right after taking abs. if b<a then a-b is positive, but moving closer to 0 and -a-b moves further away from 0 so left is less than right again after taking abs. If a=b then then the left is always 0 and after taking abs the right is 2a therefore the statement holds for all 4 cases. Q.E.D.

What is a regular 16-gon?

A regular 16 sided polygon is a hexadecagon. Each vertex has an interior angle of 180 - 360/16, or 157.5 degrees.

What is the best statistical method for choosing an element who has Multiple properties?

The method will depend on what the population comprises. For example, if every element in the population has multiple properties then simply random selection will suffice.

In SciLab software how do you change the range of the x-axis in a plot without changing the domain of x in your functions of y?

First of all you need get the access to the figure properties . this is done by gca () command. and then you need to change the data_bounds . a=gca() ;//get the current axes a.data_bounds=[0,-1;10,1.5];

How do you calculate the statistical probability of dying in a plane crash?

You calculate the statistical probability of dying in a plane crash in the same way that you calculate the probability of anything else. You simply divide the number of expected outcomes by the number of possible outcomes.

To determine the statistical probability of dying in a plane crash, you divide the number of people that have died in a plane crash by the number of people that have flown in planes. You can aggregate this anyway you want, over whatever period of time you want, so long as you properly state the conditions under which you perform your calculation.

What is the difference between Applied Mathematics and Computational Sciences?

Applied mathematics is a very general term and thus makes this question rather difficult to answer, as it can apply to almost anything where advanced mathematics is used in the study topic. For example: probability, statistics, financial analysis, mechanics, physics, discrete mathematics, graph theory, engineering, numerical analysis, and even cryptology, can all be described as applied mathematics.

The one that has the most in common with computer science however is, to my knowledge, numerical analysis. numerical analysis looks at problems in continuous mathematics that can't be solved by conventional analytical methods, and looks at developing algorithms to then solve these problems.

Computer science looks at the theory behind information and computation/programming, and applies it to every area, using programmes and software to solve all problems, instead of just the ones looked at by numerical analysis.

If the time is 6.30 what is the angle in nearest degrees created by the minute hand and the hour hand?

If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.

If the time is 6:30, then the minute hand is on the six, 180 degrees from 12, and the hour hand is halfway between six and seven, 195 degrees from 12. (If the clock face were 360 degrees, then each hour would be one twelth, or 30 degrees.) The difference between the minute hand (180 degrees) and the hour hand (195 degrees) at 6:30 is 15 degrees.

Why is a rectangle a parallelogram but a parallelogram is not a rectangle?

A rectangle has three rules:

-2 pairs of parallel sides

-four 90 degree angles

-2 pairs of congruent sides

A parallelogram has three rules:

-2 pairs of parallel sides

- 2 pairs of congruent angles

-2 pairs of congruent sides

The only difference is that a rectangle has 90 degree angles, which a parallelogram doesn't have. That's why a parallelogram can't be a rectangle. A rectangle follows all the rules of being a parallelogram, so it can be a parallelogram.