/sci/ - Science & Math

>>11831844
If an atomic bomb were to be detonated in the core of the earth, would it affect the Earth's magnetic field? How so? How much of the core would be destroyed?

Ok, I have a problem guys
I'm taking Algebra next semester and am reading through Saracino's book right now
I was trying to prove the Third isomorphism theorem and ran into a contradiction, but i dont see an error

A, B, X groups
[math]
X \triangleleft A, X \triangleleft B \triangleleft A \\
\therefore B/X \triangleleft A/X \\
(A/X)/(B/X)=\{ (B/X)Xa, Xa \in A/X\} = \{XbXa,Xa \in A/X, Xb \in B/X \}\\
=\{XbXa,a \in A, b \in B\}=\{Xba, ba \in BA \}=BA/X \text{ but } B \triangleleft A, \text{ so } BA=A\\
(A/X)/(B/X) = A/X
[/math]

but [math]A/B \cong (A/X)/(B/X)[/math]
and this is contradictory
we can take [math]A = \{0, 1, 2, 3\}, B = \{0, 2\}, X = \{0\}\\
A/B \cong B, A/X \cong A, A \not \cong B
[/math]
wheres the error?

>humanities and arts : 120
>Other humanities and arts : 124

>>10272319
youve now convinced everyone of above mediocre intelligence that the scientific consensus isnt trustworthy
or youve just made that up, one of the two

>>10267661
>Fire is an element

>>10206164
>We can know things as they truly are.
no, solipsism is insurmountable

>>10105371
>>10105373
>>10105376
But we're talking about directions, so using "right", which is also a direction, is confusing. What if you actually NEED to have the right (i.e. opposite of left) side facing up? What do you say? "Left-side down"? "upside-sideways"?

>>9969807
I want Popura-chan to chug my milk!!

>>9960832
Once you have the shear flow, just choose a thickness gives you a shear stress that's less than your material's shear allowable

For the rivets, based on the sizing of your skin and rib, and the spacing between ribs, determine how much shear will be transferred from the skin to the rib, and then choose a rivet size and spacing that will allow that shear to be transferred without joint failure.

That's my best guess, anyway

>>9395000
dude what the fuck, you dont need 1/3 = .(3) to show that 3.333... = 10* .3333...

where in the holy fuck do you need to apply 1/3 = .(3)

[math] .\bar{3} = \frac{3}{10} + \frac{3}{100} +... [/math]
[math] .\bar{3} * 10 = 3 + \frac{3}{10} + \frac{3}{100} +... [/math]
[math] .\bar{3} * 10 = 3 + .\bar{3} [/math]

not once did I need to use .(3) = 1/3 you fucking autist

>>9263958
What is that dual-way arrow thing in mechanics, I always see it when I'm working with restitution and collisions but never know what it actually is. You know the <->, what is it called and what does it do?