Mathematics

Necromancy! I searched the forum for 'Möbius' and this thread was the only one returned. And wonder of wonders you have mentioned just the concept I had in mind, i.e. squashing. Before I launch into squashed space I would just point out that above you say 'at the ends' and a Möbius band has no ends. So a few years back I got to wondering if there was a limit of L to W beyond which I could not join W's to get a Möbius band. I made paper bands as well as sewed some of canvas. Anyway, yes Möbius bands beyond certain ratios must be squishified. At some ratios the band squishes into a hexagon. After seeing it [the hexagon] and having recently read about the mysterious hexa…

To calculate the day of the week for a given date, first of all we need to find out the number of odd days. Today I thought of sharing a beautiful problem I learned in my school, though it is easy, it is tricky too. Odd Days are number of days more than the complete number of weeks in given period. Leap Year is the year which is divisible by 4. A normal year has 365 days A leap year has 366 days One normal year = 365 days = 52weeks + 1day One normal year has one odd day One leap year = 366 days = 52weeks + 2days One leap year has two odd days 100 years = 76 ordinary years + 24 leap years = 5200 weeks + 124 days = 5217 weeks + 5 days 100 years have…

Hi everyone Let me get to the point: in my opinion, the equality between "chance" and "probability" isn't very well chosen... Let me illustrate this with an example: Imagine a sheet of paper, of whatever area. On this paper, a part is covered with honey or some other sort of sweet stuff. The chance that a wasp, or a bee, a fly, whatever, lands on a very specific point of the sheet of paper, not covered with honey, is almost 0 (1/infinity). This chance is equal to the chance it will land on a point covered with honey. In my opinion, though, the probability that it will land on a point covered with honey, is much larger than it will land on a point which is…

I realized sexual polyamory could result in lower STI frequency per partner per individual, but the decreases are only 0.0 to 0.1 even under extreme conditions and with everybody doing it. The idea is that exposing organism-A to organism-B also indirectly exposes A to all B's contacts, so it's safer for A to interact with the contacts of previous contacts, reducing the total number of contacts (direct or indirect). My equations can model other epidemiological scenarios, but I can't get a universal equation for situations involving indirect transmission within the interacting groups. yn = the probability of being healthy after the nth contact, hence... y0 = the probabil…

a ^ 2 = d ^ 2 / 2

I have been playing about with primes, But this is not a prime question, I was looking at the difference between each prime, Then the difference between that difference until I reached 1, To look for patterns. I was wondering what it is called when you take a certain amount of numbers has shown below and find the difference between the difference until you end with 1? (1 is the point of triangle). I have tried to look it up but end up with differences between everything but what I want to know, There is most probably a simple name but it escapes me at the moment. Each difference of the same number is the same colour,0 pink,1 purple, 2 blue, 4 yellow.

Hello I want to invent a mathematics theory I have been trying for several years But, I can get any result Can any one tell me about inventing theories? Are there any resources on the internet? Thank you very much

Hello everybody. This is my very first post and I warn you now it's going to be unusual. I have always been a very creative and imaginative person, I have ambitions of becoming an author someday maybe even producing my own animated TV shows. I have always regarded creativity as a realm of infinite possibilities, where anyone and everyone can bring something unique into this world. But lately I been feeling very depressed because of two scientific theories. The first one was introduced to me years ago by my father who has always been very interested in science. He told me that there is a finite limit on the number of books is possible to write. Not because hum…

diameter of sphere is 2 pi r, but from what point of view

next values : I : 2 + 2 ^ 2 II : 2 + 2 ^ 3 III : 2 ^ 1 + 2 ^ 2 + 2 ^ 3

area of square inside the circle is undimensial, because if we get the side of this square according to ray of circle we will get the undimensial area am i correct ?

I noticed a sort of probability problem in which different sequences of events have the same probability despite the events being dependent. I've proven an example below, but I still don't fully grasp why. Here is the problem I use to demonstrate. There is a bag of tubes. Testing for bad tubes, you test the tubes one at a time. Tubes aren't returned to the bag after testing, so there is one less tube each time (event dependence). Despite this, the probability of a good then a bad is equal to the probability of a bad then a good. variables: x = bad tubes / total tubes y = 1 / total tubes. derived: If x is all the bad tubes, 1-x is all the good tubes. y is 1 single tu…

high of triangle same-side around the circle is 3 r, to 2r ( 2 ray of circle ) 2 ray of circle to diagonal of square inside the circle is 2 to 2 / sqrt(2)

( 2 ^ 2 ) ^ 2 is not like 2 ^ 3 in dimenosion for examp

picture : http://s6907.chomikuj.pl/ChomikImage.aspx?e=BNis-wCuwcNDkpjatdNzsgfVQtxAral5imWMh2pcl5i3we1zEJnLAb22thcIwURy0BZgsnZ7wrNEOE4LLgkqslbSC1Gc0yINw0Y-KxmPKgc&pv=2

so i remember, logarith is dependence between a to c in a^b = c so if we have 5 ^ 3 = 125 between 125 and 5 is dependence 125 / 5 = 25, so squart from 2 = 25

suggestion : 2r is diagonal of square inside the oval

is it a dependence between d ( diagonal of square from equal of area of circle ) to r ( ray of this circle ) d / r pi * r ^ 2, pi * sqrt(2) ^ 2, d = sqrt(2) * d ( for third value ) ....

I’m working on a financial problem about budget of households. Households in a state fill a form about their net budget in every year and our insurance company investigate their financial status and find the exact amount of their budget. The net budget can be positive or negative. I’m designing a system with neural network that we can find the households that Falsify their net budget, So my output is a binary [ 0 and 1] which 1 is false net budget and 0 is true net budget. Suppose that households’ net budget is P and our investigated outcome of net budget is R. As you know: Now we have this: R>=P If P=R then : Criterion = 0 (true net budget)If P>0 and R>0 …

if we have function like this y = ( x - 2 ) ^ 2 + 1, what we will get if we do : y = - ( ( x - 2) ^ 2 + 1 ) , and more to find the top of function ( highest value ) doesnt matter the ( x - 2) ^ 2 ..... for x-2 beacause theres allways is 0 to find the top of function

In mathematics, two variables are proportional if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant. i.e. y=kx Doesn’t the above definition apply to Y=k+x