The Math / Science topic primarily includes discussions of mathematics, physics, statistics and economic analysis, but also biology, chemistry and other sciences.

I like to understand my daily electronics consumption. I understand an average desktop computer has a power usage of between 80 and 250 watts hour of "active" use, depending on graphics cards and additional peripherals. A laptop is 50 to 100 W/hour. In stand-by mode the power consumption of both a desktop and a laptop falls to about a third. The cost to the University to operate a typical computer and monitor workstation (130 watts @ 11c kW/h) for 24 hours per day, 7 days per week, 365 days per year, is $129.73. It appears from electric bill I am 10 kW/h. My energy use to date start from 2/22 is 207.31 kWh. I use my laptop and dual monitors pretty frequently for 7 hours a day / 5 days a week. Can someone explain the math here?

There are many ways to learn to code these days. From coding bootcamps like Flatiron School to online courses to totally free beginner resources. The best way to learn to code depends on many factors, but the most important one is you. See what course is best for you.

I need help writing a root finding problem using Newton's Method for the following equation:
y = sin(x) − 0.15x + 1.5
I want to use a tolerance of 1.0e-4 and double precision to find all roots (5 total) of the equation.

I would like some assistance on how to go about writing the derivative function to better understand the main program too. Any help is appreciated.

In describing a black hole and its immense tidal gravity, how do you describe the forces acting on a body as it approaches the singularity?

Here is the phrase I am trying to understand:
"This creates a tension gradient across the object parallel to any radii colinear with both the object's center and the singularity."

I am learning the graphing of trigonometric function on my notes (not using any calculator).

I have come across the following format of the sin function

y= A.Sin(bx-c)+D

I am trying to see if there could be a trigonometry function like y= A.Sin(-bx-c)+D

That is the number of cycles being negative (-b instead of +b).

Kindly help me with a source which gives such complex problems and also provides solution. Since my practice till now has been on sin trigonometry function, I would like to see a few examples on sin function.

In trigonometry functions, we have y=sin-theta and y=a.sin (3.theta + 30 degrees) + 60 degrees

I understand that when y=sinx we use the unit circle with radius of 1unit to explain radian/amplitude.

I am trying to under the following concepts of amplitude, phase shift and vertical shift. I understand the concept of period for trigonometric functions.

Now is there a sequence of videos or notes which will help me understand these concepts. Not just the calculations but also the implications of unit circle and on the trigonometry functions. My struggle is not just to crunch numbers but also to understand the concepts how the numbers are impacting the trigonometric functions.

I am learning trigonometry and derivatives.
In this regard I am looking for a software which can draw the graph for the quadratic/third degree equations.

I am home user so looking for an affordable software graphing solution.

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Hey all I am in need of some help with determines what box I need to place a given image into depending on that images ratio (image width / image height) to the box areas Aspect Ratio (box width / box height).

The code below is what I currently have that I am using to determine this (which does not work):

public static Dictionary<string, List<double>> sizeOfPhotoBoxes = new Dictionary<string, List<double>>()
{/*
[Width]
| [Height]
| | [Aspact Ratio]
↓ ↓ ↓
KEY: VALUE(s): [1] [2] [3]*/
{ "box1", new List<double> {357, 272, 1.31} },
{ "box2", new List<double> {357, 272, 1.31 } },
{ "box3", new List<double> {365, 460, 0.79 } },
{ "box4", new List<double> {365, 265, 1.38 } },
{ "box5", new List<double> {715, 455, 1.57 } },
{ "box6", new List<double> {360, 465, 0.77 } },
{ "box7", new List<double> {360, 465, 0.77 } },
{ "box8", new List<double> {360, 465, 0.77 } },
{ "box9", new List<double> {540, 290, 1.86 } },
{ "box10", new List<double> {540, 290, 1.86 } }
};

double RA = (double)item.images[0].width / item.images[0].height;

foreach (var AR in sizeOfPhotoBoxes)
{
if (AR.Value[2] >= RA && AR.Value[2] <= RA)
{
System.Diagnostics.Debug.WriteLine("found");
}
}

So what my goal is is to get the current image I am wanting to place into a box and get its width and height and from that determine the best box to place it in so that it will show the image:

- Without black borders on either the left/right or top/bottom (or both).
- Not chop off the important areas of the image (mostly the middle section moving out).

I have decided to use Magick.NET in order to ease the pain of doing something like this from scratch. So when I determine what box I will be placing the image into then I can use the Magick.NET to crop it using:

I would like to distribute the difference between the weekly labor target G2 and the weekly hours of operation I2 in even 0.25 chunks. The difference between G2 and I2 is in J2. If you multiply J2 by four you can see that I have 82 0.25 hour chunks of time available to distribute. How can I distribute those 82 chunks based on the needs represented by the ticket counts (workload) represented in column F. It's okay for some rows to be blank as long as I don't exceed the 82 chunks of time available and distribute the 0.25 hours to the intervals where the needs are highest.

I have tried distributing the labor based on a ratio defined by F/G but that often results in uneven labor or labor that is blowing the budget available. Example_LaborDistribution.xlsx

I have a set of seven parameters which are numerical values (i.e. current readings, pitch, roll and yaw angles, acceleration, etc..) and I use them to classify a vehicle behavior.
For example, if:

What is the best way to implement this kind of classification in Matlab?
Should I use a simple neural network? Or a classification method like SVM?
Is there any tutorial or example?

I have a set of data where each set of parameters is related to a specific behavior, so I can use this to train my model.

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I need help finding the general mathematical form (similar to "n choose k") of a counting/probability problem. It arose after a coworker implemented a simple JS fix to prevent something from displaying multiple times when sampled randomly and I wondered what the odds of it happening were. As formally as I could state it is as follows:

Problem Statement:
Given n distinct options with equal probability of occurring, what is the probability of at least one grouping of type n_{i} of size k or greater appearing after s independent samplings?

I've looked into multinomial coefficients but couldn't figure out how to generalize it so it didn't matter which pair happened or that larger pairs should count towards it. A Poisson Distribution also looked promising but the simplest form seems to only be concerned with the probability of a single thing happening over a given time frame. Instead I hacked together some JavaScript to at least get a sense of its behavior.

Example
Roll a die 10 times. What is the probability that any of the numbers occurs at least 3 times?

Monte Carlo Solution
This will happen approximately 93% of the time given by the following code:

I am planning to pursue MS in Financial Engineering.

I come with a commerce background and do not have statistics background.

I am looking for anyone/online course which can teach me college level statistics. Please find attached the front page of the book which i intend to cover. I am looking for a resource which can teach me the subject.

I need to prove that certain patterns were engineered and not random events and have been told that Neural Networks can be used to help make this determination.

What kinds of tools and algorithms should I be looking at?

Any sample projects that have done something similar?

The Math / Science topic primarily includes discussions of mathematics, physics, statistics and economic analysis, but also biology, chemistry and other sciences.