What is Calculation: Definition and 1000 Discussions
A calculation is a deliberate process that transforms one or more inputs into one or more results. The term is used in a variety of senses, from the very definite arithmetical calculation of using an algorithm, to the vague heuristics of calculating a strategy in a competition, or calculating the chance of a successful relationship between two people.
For example, multiplying 7 by 6 is a simple algorithmic calculation. Estimating the fair price for financial instruments using the Black–Scholes model is a more complex algorithmic calculation.
Statistical estimations of the likely election results from opinion polls also involve algorithmic calculations, but produces ranges of possibilities rather than exact answers.
To calculate means to determine mathematically in the case of a number or amount, or in the case of an abstract problem to deduce the answer using logic, reason or common sense. The English word derives from the Latin calculus, which originally meant a small stone in the gall-bladder (from Latin calx). It also meant a pebble used for calculating, or a small stone used as a counter in an abacus (Latin abacus, Greek abax). The abacus was an instrument used by Greeks and Romans for arithmetic calculations, preceding the slide-rule and the electronic calculator, and consisted of perforated pebbles sliding on iron bars.
Hi,
I have problems with task b, more precisely with the calculation of the limit value:
By the way, I got the following for task a ##f^{(n)}(x)=(-1)^{n+1} \frac{(n-1)}{x^n}##
Unfortunately, I have no idea how to calculate the limit value for the remainder element, since ##n## appears in...
I'm really not sure. Obviously I can get the units right with Resistance * thickness, but I assume there's a correction factor here that I can't find anywhere?
I have done this problem three times now, and keep coming up with an answer that is a factor of 10 off from the answer in the solutions manual. The way I'm doing it is MUCH different than how they did it, so I can't use their method to see where I'm going wrong. I want to find out what I'm...
Hello everyone, I've been brushing up on some calculus and had some new questions come to mind.
I notice that most proofs of the fundamental theorem of calculus (the one stating the derivative of the accumulation function of f is equal to f itself) only use a limit where the derivative is...
$$Re(e^{2iz}) = Re(\cos(2z)+i\sin(2z))=\cos(2z)$$$$e^{i^3} = e^{-i}$$ $$\ln (\sqrt 3 + i)^3=\ln(2)+i(\dfrac {\pi}{6}+2k\pi)$$
Can't I simplify these more? Are they correct?
Final one:## (1+3i)^{\frac 1 2}##
Can I write in in term of ##\sin x## and ##\cos x## then use ##(\cos x+i\sin x)^n=\cos...
Need help in calculating the force required to flange a cylinder outwards around the perimeter by approx. 5mm.
Cylinder is either Aluminum or standard Mild Steel.
Thank you.
**EDIT** Everything looked good in the preview, then I posted and saw that some stuff got cropped out along the right edge...give me some time and I'll fix it.
Hello all,
I"m trying to calculate shaded area, that is, the area bounded by the curves ##x=y^{2}-2, x=e^{y}, y=-1##, and ##y=1##...
How can I calculate the absolute velocity of air at the outlet of a centrifugal compressor if I have:
Diameter of impeller
RPM
Slip factor
I've been reading for weeks and cannot seem to find the answer to this question. For anyone who is familiar with the subject, I'm sure you know about the...
Hi, I'm teaching Engineering (honors) and want to drill the students on series, parallel resistors in circuits and voltage dividers. does anybody a have a worksheet with lots of samples?
Thanks!
I'm confused in the calculation for R/2. The author took in account that the charge will change by a factor 1/8. But how does it show that the coloumbic force will become 1/8th. The distance will also reduce by half shouldn't that also be taken into account? Or am I missing something here?
Hi
need to calculate 240v/315v motor size attached to reduction gearbox (reduction unknown) to lift a weight of 100kg on cable drum .8mtr/sec.
Drum dia not determined yet.
motor size not determined yet.
any help is greatly appreciated as this seems to be out of depth of many motor drum winch...
My solution was that the final velocity of the fly is equal to the mass of the elephant divided by the mass of the fly, and then multiplies by the delta in the elephant's velocity. My teacher said it was the wrong answer and that the calculations are presumably pretty long
Hi all, I've made errors in my calculations and need help.
I'm trying to calculate the volume of a layer above sea level to the height of Flight Level 300 i.e. 30,000 feet. Next, I want to subtract the volume of land within that layer. Here are my calculations.
Purely for the sake of my...
Alleyway kick
The kicker weighs approximately 64kg or 140lb and the gentlemen holding the air shield is approximately 73kg or 160lb.
How far does the kickee travel before hitting the chair and boxes and what speed is he travelling at?
The practice kick prior to the actual kick puts the men...
Hello guys,
Would it be possible to get some help on how to approach this problem? I don't really understand it. do I need to look at the orbital motion of the center of mass here or? If so how should I start?
Thanks in advance.
TL;DR Summary: I need to calculate Vout when the switch Is closed and open.
I need to calculate Vout when the switch Is closed and open. Is my work correct?
Question picture:
My solution:
Where:
S is the lineforce
Ff is the force as a result of friction
a is the resulting acceleration
F is the acting force
The answear is supposed to be a=(F-2mg(mu))/(m+M)
Any idea what i could have missed?
Thanks for your help on beforehand!
I need some help here. I'm trying to determine how to use the numbers I'm getting for my pony break to determine horsepower at the axle of my engine. Right now I'm getting a reading of six pounds of torque, 4 in off of the center line of the axle at a rate of 30 rpms. Can someone help me...
The question was this:
My calculations show that the answer should be equal to work done on crate to make it reach the same velocity which is equal to 216 J but the answer given is 432 J
It is believed that extra energy is needed to overcome friction but friction is an internal force and...
I'm playing a Steam game called Shapez wherein the goal is to produce and deliver given shapes to the Hub by conveyor belt.
In the screencap you can see resources of discs and squares and well as green and red, which are to be extracted, chopped up and recombined to form the "product"...
Hello everyone;
Please need some help to check if my calculation are correct (and if possible some explantation)
Bernoulli's equation between point 1 and 3 is given by:
P_1+1/2 ρv_1^2 + ρgh_1 = P_3+1/2 ρv_3^2 + ρgh_3
P_1 = P_(atm )
v_1= 0 m/s
h_1= 0.875 m
P_3 = P_(atm )
v_3= ? m/s
h_3= 0...
Dear Experts . How can I calculate the absorbed dose for any organ with mathematical formulas? For example, radio nuclide Ra -223 ,organ liver, time 1 hour , activity 1MBq.What methods can I use? Is there a pdf or book about it?
Hello all,
This is my first post so please be gentle with me..
I'm trying to work my way through some tricky questions so will post them below and see if anyone can give me some pointers.
The questions are:
A car weighs 1305kgs and accelerates from 0 to 160km/h in 4.2s. The first question asked...
If I have a air tank that is 1 cubic feet with the pressure gauge at 0 and I pump in air to 5000 psi how many cubic feet of a 100 psi would be in that tank? Any help would be appreciated
What approximate portion of generated heat from being active on the treadmill, both the person on it as well as the machines themselves would be compensated/cooled if the treadmill resistances would be disabled/removed and instead 1/2 end cylinders would be connected to an air conditioner...
Hi there,
I hope that somebody can help me with this.. Any response is much appreciated!
Let's have a vertical closed-loop system where the fluid circulates using the pump. The temperature in both sections gradually changes (the upcomer section is heated up) so that the densities, velocities...
Hi, All!
Can anyone help me to construct a card for calculation of a spatial activation? Reaction is 27Al(n,p). I used a tmesh card for calculation of neutron flux as:
tmesh
rmesh21:n flux
cora21 190 9i 210
corb21 -10 9i 10
corc21 -10 9i 10
ergsh21 0 20
endmd
Somewhere in a problem I...
Hi
I am designing a flyback converter. The calculation (.jpg file) is based on Daniel W. Hart Power Electronics book. The transformer model consists only of an ideal transformer and its magnetizing inductance (or "primary inductance" in some textbooks).
The datasheet of the transformer's core...
Hello,
I want to see if hydrocyclones can be used in a application, where we have small metall particles that we want to extract from a closed loop water system. I found a book "Chemical Engineering Design" written by Richardson, where there are some equations given that makes it possible to...
I've figured out parts A and B but I'm struggling with Part C. I used the equation V = kQ1/r1 + kQ2/r2 where Q1 = -4.4e-12C ; k = 8.98755e9 r1 = 0.026 m Q2 = 27.4e-12 and r2 = .051-.026 My answer (8.329 V) is wrong but I have no idea why. Please help if you can.
Hello!
Im given this function ## f:[-\pi/2,1] -> [0,1]## with f(x) = 1-x for x (0,1] and f(x) = cos(x) for x ##[-\pi/2,0] ##
And im susposed to find the centroid of this function so xs and ys.
For that I am given these 2 equations ( I found them in the notes)
## x_s =\frac{1}{A}...
I need to write an equation for Newton's second law for the above system, where k1=k2 (both springs are the same). The red line represents a bar with m=2kg, l=2m.
I know that I*α = M1 + M2 + M3
If we displace the bar by x, we get the angle of displacement theta.
M1=M2=-k*x
I know that...
Hey folks,
I've been looking around but can't piece this together as there are more than one equation and variable to take into account.
My situation - I have a pmma material disc on an axis , the center hole (axis hole) is 20mm wide so a radius of 10mm, while the outer edge is at a radius of...
IIRC, the Sun's gravity was calculated by Einstein et-al to provide a 'focus' about 550 AU out. Current value is ~542 AU.
Aside from effects due solar oblateness, frame dragging etc, may I assume this value also applies to eg neutrinos, gravitational waves etc etc ??
Hi, I'm calculating the work done by regular tetrahedron during taking from the water by crane (USING INTEGRALS). I don't know how bad is that solved so if anyone checks my work and gives me some advice or hints I would be very glad.
Everything is written in the PDF file.
There were given...
Hello,
I have a problem with reducing a stiffness of a front suspension. Unfortunately I don't understand how to get the reduced stiffness on the right side in the picture. (k_f=k/cos^2E)
Thanks in advance for your help.
Many greetings,
Semat10
Hi Guys, please please assist me!
I need to pick for a project at my work linear carriages which should work at this configuration :
As you can see, there is a piston which moves the plate on 4 bearings from the side (yes, I know, not the best configuration, but that's what we have given the...
Body 1 travels 48 light years from point A to point B at 82% of light speed.
Body 2 leaves point A 33 years after Body 1 and travels the 48 light years to point B at 99.99995% of light speed.
What I think I know:
Body 1 takes 58 years to reach point B according to an earth observer.
Body 1...
Hi,
Unfortunately, I have problems with the task 4
In task 3 I got the following
$$ T_f=T_ie^{\Delta S_i - c_i} $$
Then I proceeded as follows
$$ \Delta S = \Delta S_1 + \Delta S_1 $$
$$ \Delta S =c_1ln(\frac{T_ie^{\Delta S_i - c_i}}{T_1})+c_2ln(\frac{T_f}{T_2})$$
$$ \Delta S...