/sci/ - Science & Math

>>9933681
>more browns enter the nation due to a loose, capitalist-backed immigration policy
>"zomg man why is teh average IQ dropping?"

Gee. I dunno.

Alright, algebrafags. I got a ring theory question for you. I'm supposed to prove the following statement:

Suppose [math]f:A\rightarrow{B}[/math] is a homomorphism from [math]A[/math] onto [math]B[/math]. Suppose further that [math]J[/math] is an ideal of [math]A[/math] and [math]K_{f}\subset{J}[/math], where [math]K_{f}[/math] is the kernel of [math]f[/math]. Then [math]f(J)[/math] is an ideal of [math]B[/math].

Here's my proof so far:
Let [math]j\in{J}[/math]. Because [math]f[/math] is onto, we let [math]b\in{B}[/math] and [math]f(a)=b[/math], where [math]a\in{A}[/math].

Then [math]f(j)b = f(j)f(a) = f(ja)[/math]. And [math]f(ja)\in{f(J)}[/math] because [math]J[/math] is an ideal in [math]A[/math]. The [math]bf(j)[/math] case is proved similarly. Q.E.D.

My only problem is that I never used any information regarding the kernel. Is there a flaw with my proof? Thanks a ton in advance.

>>9252563
>>9253696
>>9256776
>>9255327

Something like these guys said.

My diet is mostly a 'vegetarian' diet, although I do eat meat 1-2 times a week. I avoid added sugar like the plague. I also avoid simple carbs, pastas, breads, ect, that will spike my blood-sugar levels later. Here's what a typical day of mine looks like:

Breakfast:
>A plate of raw veggies, which includes dark, leafy greens. I also like to have almonds or walnuts

Lunch/Mid-day meals:
>2 hard boiled eggs. More veggies. Maybe more nuts, and I sometimes eat a small amount of cheese, like aged English cheddar (best shit).

Dinner:
>A bean stew/soup with vegetable stock, onions, and spices. I usually add hotsauce for more flavor.

And then, maybe once a day, or every other day, I'll eat dinner or lunch out. Most of the time I keep it vegetarian, like veggie sushi rolls, falafel plate from a food cart, ect. Every now and then I'll have some regular, fatty, meaty foods, though, like a plate of chicken strips and fries. (maybe once a week)

Above all, avoid sugar.

serious questoin but why do bugs and vegetation still exist if evolution is truth? Don't tell me that they aren't experiencing "evolutionary pressure" because vegetation and bug are getting genocided left and right and most species are going extinct and they suck at survival, therefore how can evolution even be true ? not even joking m8

>pic unrelated, but if you can explain it using science that would be good too because asian girls are important to my research (soy milk chemistry)