spring-of-mathematics

fouriestseries:

Signal Collection and Parabolic Reflectors

reflector is a type of antenna that receives and focuses various types of signals. Reflectors have numerous applications, from satellite dishes and telescopes, to long-distance microphones and car headlights. One common feature of these examples is their parabolic shape, giving them the name parabolic reflectors.

It turns out that paraboloids are the perfect shape for focusing signals from distant sources. When pointed directly at the the incoming signal, a parabolic reflector (GIF 1) collects the signal to a single focal point, where a receiver, called a feed horn, is placed to collect the focused transmission.

In many applications, parabolic reflectors are too costly to produce, so spherical reflectors (GIF 2) are used instead. The disadvantage of spherical reflectors is that they have multiple focal points, and therefore produce blurry results.

Mathematica code posted here.

This code is incredibly messy and I guarantee there’s a better way to calculate this. Please contact me if you have suggestions!

explore-blog
Jumping from failure to failure with undiminished enthusiasm is the big secret of success.

Pioneering physicist Savas Dimopoulos in Particle Fever, the excellent documentary about the Large Hadron Collider and the search for the Higgs boson – a tenacity that characterized some of the greatest achievers and innovators in history.

Pair with Pixar’s cofounder on the importance of fostering a fail-forward culture.

(via explore-blog)
diyhoard
diyhoard:

Zucchini Chips
Preheat oven to 260 degrees Fahrenheit. Prepare 2 large baking sheets by lining with parchment paper.
Place sliced zucchini in a single layer on top of a layer of paper towels. Place another layer of paper towels on top of zucchini and press down hard to draw out moisture. This will allow the zucchini to bake quicker.
In a large bowl, toss zucchini with olive oil, and 1 teaspoon of spice blend. Store the remainder for future batches.
Place zucchini on prepared baking sheets in a single layer.
Bake for 1 hour, flip slices once and return to the oven.
Bake for another 30 minutes then check on the state of the chips. Remove any that look done; they should be browned and crisp. For the remaining chips, bake in 10 minute increments, watching carefully not to burn them.
Remove from oven, spread on a paper towel to cool, and sprinkle additional seasoning if necessary.
Recipe is from No Gojis No Glory

diyhoard:

Zucchini Chips

  1. Preheat oven to 260 degrees Fahrenheit. Prepare 2 large baking sheets by lining with parchment paper.
  2. Place sliced zucchini in a single layer on top of a layer of paper towels. Place another layer of paper towels on top of zucchini and press down hard to draw out moisture. This will allow the zucchini to bake quicker.
  3. In a large bowl, toss zucchini with olive oil, and 1 teaspoon of spice blend. Store the remainder for future batches.
  4. Place zucchini on prepared baking sheets in a single layer.
  5. Bake for 1 hour, flip slices once and return to the oven.
  6. Bake for another 30 minutes then check on the state of the chips. Remove any that look done; they should be browned and crisp. For the remaining chips, bake in 10 minute increments, watching carefully not to burn them.
  7. Remove from oven, spread on a paper towel to cool, and sprinkle additional seasoning if necessary.

Recipe is from No Gojis No Glory