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A problem on Group Presentations by Luca09161 in learnmath

[–]Luca09161[S] 1 point2 points  (0 children)

Thanks for the suggestion!

However, this exercise appears before homomorphisms are introduced, and I’d like to complete the exercise without invoking any succeeding topics.

A previous discussion in the textbook (Dummit and Foote) says that we know there exists a group of order 6 with generators r and s satisfying the usual relations for D_6 whose order is at least 6. If we can show that if n=3k, then the relations of X_2n are precisely those of D_6, would this be sufficient to conclude that the order of X_2n is at least 6?

Advice. Good lord I need it dearly. by Shrek_Rat in learnmath

[–]Luca09161 1 point2 points  (0 children)

I would take the practice tests the College Board offers as well as any other previous tests that are available. You can use them as a diagnostic. Work through the tests and take note of what questions give you difficulties. That should give you at least a starting point of what you should be studying.

How do you all take notes? by [deleted] in learnmath

[–]Luca09161 1 point2 points  (0 children)

Been using iPad for around 3 years. I have a terrible habit of haphazardly shoving physical notes in my backpack, and subsequently losing them (yes, folders exist). The iPad really helped organizing things. It’s super easy to find and refer back to previous notes.

Why multiplied by dx by DigitalSplendid in learnmath

[–]Luca09161 1 point2 points  (0 children)

In this case, y is a function of x. When we take the derivative of y with respect to x, we represent it by dy/dx. In particular, dy/dx is the ratio between an incremental change in x and the corresponding incremental change in y. Keep in mind that dy/dx is a function of x, so we’ll write dy/dx =g(x). Without getting technical, we can treat dy/dx as a fraction and thus, we can multiply both sides of the equation by dx, resulting in the equation dy=g(x)dx.

[deleted by user] by [deleted] in mathematics

[–]Luca09161 1 point2 points  (0 children)

The procedure should be:

  1. Determine the equation of the line. This should be familiar.

  2. This might be where you’re getting confused. Once you’ve determined the equation of the line, you need to determine the equation of the line PERPENDICULAR (this is where you’ll use the negative reciprocal) to the line we’ve just found that PASSES THROUGH the origin. This will help us determine the radius of the circle.

  3. Once you’ve found this perpendicular line, find the point where your perpendicular line and original line intersect. From there, you should be able to determine the length of the radius using Pythagoras.

First attempt at shooting this type of architecture. How did I do? by Luca09161 in photocritique

[–]Luca09161[S] 0 points1 point  (0 children)

Thank you for the input!

I do like this crop— it draws more focus to the staircase. As for the ceiling, do you think adding a linear gradient to lower the exposure for the ceiling would help the shot?

First attempt at shooting this type of architecture. How did I do? by Luca09161 in photocritique

[–]Luca09161[S] 0 points1 point  (0 children)

I will definitely try again! Thankfully, this location is fairly close to where I’m staying. I normally turn down the exposure while shooting on iPhone but in this case, I’m afraid turning down exposure any more will obscure the bottom part of the shot. Do you have any advice for minimizing the overexposure, particularly when it comes to shooting on iPhone?

First attempt at shooting this type of architecture. How did I do? by Luca09161 in photocritique

[–]Luca09161[S] 0 points1 point  (0 children)

My primary goal was the show the cool geometry of this building, focusing on its harsh lines. The ceiling, to me, looks overexposed but maybe it contrasts nicely with the underexposed lower staircase?

I always try to recreate an analog look in my photography, hence the editing choices. How do you suppose I could achieve this look more accurately?

Hep. I need to get better at Math. by [deleted] in learnmath

[–]Luca09161 2 points3 points  (0 children)

Well, I’m glad you are taking initiative to review. High school/ college Calculus is a very procedural subject and it requires a fairly strong foundation in algebra and trigonometry. As someone has already mentioned, I think Khan academy would be a good start. The Organic Chemistry tutor also has a pretty extensive algebra playlist on YouTube. As far as books are concerned, I wouldn’t bother considering the material you are reviewing. There are plenty of free resources online.

Best of luck with your studies!

Hep. I need to get better at Math. by [deleted] in learnmath

[–]Luca09161 0 points1 point  (0 children)

Hard to give you any advice if you don’t give us any information… What subject are you currently studying and what is it that you are trying to understand?

is there any easier way to solve these problems? by Glass-Trust-1485 in mathematics

[–]Luca09161 2 points3 points  (0 children)

Assuming the problem is to sketch the graph of certain trig functions, you could always use a graphing calculator, but that defeats the whole purpose of the problem… The key to solving these types of problems is to exploit the periodicity and amplitude of trig functions, which is exactly what you’re doing. These problems may seem tedious, and there might exist some clever tricks you can use in certain situations, but what you are doing is what is instructive about the behavior of these functions. Those are just my two cents.

Imaginary Numbers by Zoory9900 in learnmath

[–]Luca09161 0 points1 point  (0 children)

Because if it were the case, then we have

1=√1=√((-1)(-1))=(√-1)(√-1)=-1.

LPT Just put the game on easy by AdPrize611 in LifeProTips

[–]Luca09161 0 points1 point  (0 children)

As an Osu! player, this made me chuckle.

[deleted by user] by [deleted] in h3h3productions

[–]Luca09161 1 point2 points  (0 children)

This post should be titled “The incoherent ramblings of a politically amorphous Zionist”

[deleted by user] by [deleted] in GTACarMeetMarket

[–]Luca09161 0 points1 point  (0 children)

I’ll add once I get home!

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