/sci/ - Science & Math

>>5574978

CMAAAAAAAAN PLEEEES, halp me give you zero latency cowwadoody.

The application for this, if you might wonder, is to override the electron cloud turnover in the second pi orbital of O2.

>>3886425
Alrighty, then.

The big difference between sustained and instantaneous maneuvering is that for sustained maneuvering, drag and thrust matter. The number-one qualifying condition for a sustained maneuver is that thrust = drag. If an instantaneous maneuver produces more drag than the engines can counteract, then this maneuver cannot be sustained.

For jet aircraft, this is most significant around the corner speed, where induced drag is greatest. At corner speed, and some ways to either side of it, you can usually produce more induced drag in an instantaneous turn than your engines can counteract. Since peak ITR occurs at the cornering speed, this can cause quite a large disparity between peak ITR and peak STR. At much lower speeds, however, there is a threshold where Cl-max becomes sustainable, due to the fact that both lift and drag get smaller as you slow down. At high speeds, drag usually remains the limiting factor, however since induced drag actually DECREASES with speed when lift is held constant, structural limit can sometimes be sustained at high speeds and low altitudes.

Its time for yet another troll probability thread.

Your friend rolls three dice and doesn't let you look. You ask him if he rolled at least one four. What is the probability that he rolled the same number for all three dice, given that a) he answers 'no' to your question and b) he answers 'yes'.

Pic unrelated.

ITT we initiate newfags into how to think properly.

There is are 1,000,000 women in Hypothetistan. There are 1000 women with breast cancer in Hypothetistan. All one million women in Hypothetistan were tested for breast cancer, and there were 10,998 positive results. Of the 1000 women with breast cancer, 998 got positive results. Given that a woman in Hypothetistan tested positive for breast cancer, what is the probability that she has breast cancer?

Pic unrelated.

>>1893779
Except that 4chan checks for correct captcha BEFORE you send it the data for the image you upload

Stand back everyone, I am a math wizard.

For given W, X, and Y, L is determined completely by the distance p along the x-axis that the brace meets the frame.

The distance q along the y-axis is determined by p^2 + q^2 = w^2, so q = sqrt(w^2 - p^2).

The distance L is, by geometry, equal to (y-q)^2 + (x-p)^2

Substitute the formula for q

L = (y - sqrt(w^2 - p^2))^2 + (x-p)^2

Where y, w, and x are constants. This is a function of one variable, which you want to maximize.

The Calculus says to take the derivative and find where it equals zero in order to maximize L. After trivial calculus and algebra, the closed-form solution so d/dl = 0 is:

p = x * w / sqrt(x^2 + y^2)

For a physical interpretation, put the X location of the joint such that it is along the x-axis proportional to the ratio of the width of the base over the hypotenuse of the frame (eg, p/x = w/sqrt(x^2 + y^2)).

Sanity check is w = 0; you put p in the corner and get the longest line that fits inside a box.

Pic Unrelated

bump with rainbow-shitting plane