Math Formula to determine Network/Host subnet

Let's say I have a subnet  192.168.10.0/24 , if I need to have 400 Hosts in the network , I can just change the subnet to 192.16.10.0/23.. this can stem from the formula (2^9) -2=510 ,this will be the correct  one that covers 400 Hosts , because if I use (2^8)-2=254  , it will be less than 400
***2^9 means I already have 8 bits for the Host in the /24 and will just borrow 1 bit from the Network portion and will be /23

Sometimes the request is much more complex, for instance when they ask for 1113 hosts, then I will have to use the calculator and start from 2^1 and add  each time 1 to the power to get  closer to the desired number , ex: 2^10,2^11,etc.....

I wonder if there is a formula, like (2^x)-2= "a number close to 1113", and then I will just determine the value of x.

Thank you

What is the next number in the series : 1,2,4,8 ...

Hi,
I was thinking of some good biological videos which shows exactly what happens when u eat oily food inside your body.
what happens when one eats chicken/rice/ other common food items.
Any good video or article which has this details.
Although i see many when searched on google..But cannot be sure about the credibility.
Or anything on similar lines if not exactly the above...backed by scientific evidence
Wonder if someone has taken a video of inside of stomach with some instrument to see what happens
Thanks

Dear experts

I am reading a book on Derivatives.

In this i have come across continuous compounding of interest rates. The author has applied log in the equation. This is where i am stuck.

Can anyone kindly look at the attached document and point me to a youtube video which will explain these steps.

In the recent past I have raised a question on 'e'. I have got responses. I will be honest i have gone through those videos in detail, yet. I will watch those videos tomorrow.

But any help in the meantime is always welcome.

Thank you
Continuous-compounding-Logarithm.docx

Dear experts,

I have been a member in this group for the last 13 years and it has been a amazing journey for me.

Now i have resigned from my job and doing mathematics to pursue Financial Engineering.

I have done CFA but my experience has not been in and around Treasury /Risk management.

Now my question to the experts is, can anyone suggest me a forum where i can post questions on both derivatives (financial products) and math relevant for Financial Engineering.

My observation is this forum has address my math questions till now.

But i am looking for a nich forum. I am happy to join even if it is a paid one.

I want my questions to be answered within reasonable turn-around-time.

Kindly suggest

Thank you

measurements

is it customary to list width before height?

Use Electric shower curtains or just regular shower curtains as an example.  

A followup question will add depth and length.
I just thought a shower curtain was a good example because it is height is clear (and there is no depth).

Dont use a door because there is depth and that would confuse me because there is no such thing as a flat door. But there is a flat shower curtain.

i'm looking for a compact (say 3ft x 2ft x 0.5ft) diesel or gasoline
quiet generator that could power the equipment in my house
(mostly TV, ceiling fan, lights that use 220-240V of 20-50Amp).

I guess air-conditioners will require much higher voltage/amperes
so will leave it out.

Can recommend any?  Ideally below US$1,000

Would the following work:

  https://www.ebay.com/itm/42000mAh-Portable-AC-DC-Power-Bank-with-4USB-Ports-Universal-Travel-Charger-Hot/362288948816?_trkparms=aid%3D555018%26algo%3DPL.SIM%26ao%3D2%26asc%3D44039%26meid%3D2f754b406efb45d1855fd8350b4ac059%26pid%3D100005%26rk%3D1%26rkt%3D12%26sd%3D152969619557%26itm%3D362288948816&_trksid=p2047675.c100005.m1851

  https://www.ebay.com/p/Eg2000-Automatic-Diesel-Generator-Controller-Electric-Engine-Speed-Governor-AMS/28013819425?iid=282824316313&_trkparms=aid%3D222007%26algo%3DSIM.MBE%26ao%3D2%26asc%3D44039%26meid%3D9bae374efdad4ddcb34a7520b4c0ee14%26pid%3D100005%26rk%3D1%26rkt%3D2%26sd%3D391778037038%26itm%3D282824316313&_trksid=p2047675.c100005.m1851

A lawyer advised me and my spouse to write separate wills :
as the will is charged at a fee per will, I'm trying to establish if this is a general
practice out there & the reasons for it : if it's one joint will, it will be charged
for one will's fee.

Reason was the lawyer wants to customize it to meet our special-needs
(intellectually disabled who can't live on his own) kid but by making the
wills separate, I'm curious how this helps

Hello Experts,
This is a math type of question. If I have a set of data for 100 people that falls into four income brackets, but one of the groups is 'No Income Data', what is the method for calculating (projecting) the income bracket for the 15 people with 'No Data' based on the percent/totals of the 3 groups that do have data. For instance, if I have:

 25 people with an income   less than $15,000          (25%)
 50 people with an income   $15,000 - $25,000          (50%)
 10 people with an income   greater than $25,000    (10%)
 15 people with                       no income data             (15%)

Thank you for your help with this.
~Chop

Is there any way to draw the Radius "R4" with only the information supplied
Capture.PNG

Without getting side-tracked by arguments of whether 0.9 recurring can ever equal 1, is there an accepted mathematical expression for the difference between 0.9r and 1?

I am considering whether the starting position for the pattern vis-a-vis the searched text,  (i.e. the LAST CHARACTER of the pattern be aligned) ought to initially coincide with the first appearance of that LAST CHARACTER in the searched Text, *provided that appearance is equal to or more than the length of the Pattern*, since otherwise the index would have occurred too early in the sequence to be valid.

Consider this illustration from the B-M paper :


The B-M algo would 'mismatch' the final T from the 'pat' with the F from the 'string', and move the pattern past the F, to align the A with the I. Whereas the first contending T in the pattern and the string is at index 17 in the string, rather than the standing comparison being done at index 7.

Dear experts

I am preparing for Financial Engineering/stochastic calculus.

In the high-school level books I am referring to, the 'application of derivatives chapter' covering:

errors and approximations
Geometrical interpretation of the derivative
(normal/subtangent)
Lenth of tangent, normal, subtangent and subnormal
Angles between two curves and condition for orthogonality of curves
Derivative as a rate of change
Rolle's Theorem and Lagrange's theorem
Increasing and decreasing function
Global extreme and local extreme value
First derivative test/second derivative
Maxima and minima

I guess the above topics are explained with a view that students will further pursue engineering background.

CAn any of the experts please recommend if there is any book which focuses the application of the derivatives for those pursuing stochastic calculus or financial engineering.

I have purchased the following books and expect its delivery in two weeks time.

1. Solutions Manual - A Linear Algebra Primer for Financial Engineering... $40.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
2. A Linear Algebra Primer for Financial Engineering: Covariance... $62.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
3. Solutions Manual - A Primer For The Mathematics Of Financial... $40.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
4. A Primer For The Mathematics Of Financial Engineering, Second Edition... $54.43

If the  above books covers the application of …