Share this page!

Enter URL or ID to Unroll

You can paste full URL like: https://x.com/threadreaderapp/status/1644127596119195649
or just the ID like: 1644127596119195649

How to get URL link on X (Twitter) App

  1. On the Twitter thread, click on or icon on the bottom
  2. Click again on or Share Via icon
  3. Click on Copy Link to Tweet
  4. Paste it above and click "Unroll Thread"!
  5. More info at Twitter Help
Patrick T. Brown Profile picture
@PatrickTBrown31
Aug 28, 2019 • 3 tweets • 2 min read • Read on X
Math review (derivatives of vector and scalar fields)

1) The gradient is the directional derivative (del) applied to a scalar field. The gradient vectors represent both the local direction of greatest increase of the scalar field and the local magnitude of that increase
The divergence is the directional derivative (del) applied to a vector field via the dot product. The divergence values measure the local spreading of a vector field. #SJSU #METR171a #SynopticMeteorology
The vorticity is the directional derivative (del) applied to a vector field via the X product. Vorticity values are a local measure of the propensity of adjacent vectors to produce rotation. The vorticity represents both the spatial orientation & the magnitude of that rotation.

• • •

Missing some Tweet in this thread? You can try to force a refresh
　

Keep Current with Patrick T. Brown

Patrick T. Brown Profile picture

Stay in touch and get notified when new unrolls are available from this author!

Read all threads

This Thread may be Removed Anytime!

PDF

Twitter may remove this content at anytime! Save it as PDF for later use!

Try unrolling a thread yourself!

how to unroll video
  1. Follow @ThreadReaderApp to mention us!

  2. From a Twitter thread mention us with a keyword "unroll"
@threadreaderapp unroll

Practice here first or read more on our help page!

More from @PatrickTBrown31

Patrick T. Brown Profile picture
Nov 20
In a 2nd Trump presidency, rather than doubling down on the misguided notion that science is an authority that can fully dictate policy, scientists should strive to delineate between strict scientific facts and their political preferences. 🧵 Image
Image
Image
breakthroughjournal.org/p/a-second-tru…
Much like the Democratic party as a whole, scientists and their institutions (universities, research labs, professional societies, journals) are reflecting on the election results, especially what they signal in terms of public trust in science and expertise.
Read 23 tweets
Patrick T. Brown Profile picture
Sep 23
2023 set a record for global temperature in the instrumental era, breaching the 1.5°C 'limit' for the first time.

But global temperature itself is not very relevant to impacts. So where did 2023 come in, in terms of those more impact-relevant climate changes? 🧵 Image
The Bulletin of the American Meteorological Society released its annual "State of the Climate" report last month. Below, I highlight some of their cataloged trends, ranking them roughly from intuitive to more surprising.
Image
Image
First, sea level continues to ⬆️ due to land ice melting and the thermal expansion of the ocean. A sea level rise of 110 mm from 1993 to 2023 corresponds to approximately 1.4 inches per decade or 1.20 feet per century, though this rate is expected to accelerate.

Image
Image
Image
Read 19 tweets
Patrick T. Brown Profile picture
Aug 14
California’s Massive Park Fire Would be Less Severe if We Proactively Reduced Fuels.🧵

The Park Fire shows that both a lack of active management on US Forest Service land and land management optimized for timber production are far from ideal for wildfire safety. Image
As of today, August 14th, the Park Fire has burned nearly 430,000 acres (672 square miles), or about 65% of the size of the state of Rhode Island. It is officially still only 40% contained and has destroyed over 600 structures.

fire.ca.gov/incidents/2024…
Image
The Park Fire currently stands as California’s fourth-largest fire since meticulous record-keeping began in the 1980s, and by itself, it has burned more area than that from all California fires in the calendar years of either 2022 or 2023. Image
Read 22 tweets
Patrick T. Brown Profile picture
Jun 25
Is climate change driving massive increases in severe thunderstorm costs and causing “The Possible Collapse of the U.S. Home Insurance System” as @nytimes reports?

There is a large and growing gap between climate science and the reporting coming from 'climate desks'…🧵 Image
It is true that both US billion-dollar disasters and global insured disaster losses are increasing, and a large fraction of the overall increase seems to be driven by increases in losses from severe thunderstorms.

ncei.noaa.gov/access/billion…
Image
But what, specifically, does climate science say about historical and expected changes in severe thunderstorms and their associated hazards of tornadoes and hail?
Read 25 tweets
Patrick T. Brown Profile picture
May 6
Flooding is now often reported on as proof of a new era of climate-related catastrophes. But is this correct?

liberalpatriot.com/p/are-floods-d…



Image
Image
Image
Image
When considering the risk of natural disasters like floods, the UN’s Intergovernmental Panel on Climate Change (IPCC) has adopted a useful framework for breaking down the risk of impacts.
Image
Image
This is useful for considering the underlying causes of any changes in flood disasters because, on the many-decade timescales that climate change progresses, there will not only be changes in the hazard but also changes in exposure and vulnerability.
Read 18 tweets
Patrick T. Brown Profile picture
Feb 27
I have a piece out today in The Chronicle of Higher Education on how social and career incentives surrounding researchers cause a good portion of the full story on the climate problem to be left out of the high-impact literature. 🧵
chronicle.com/article/does-c…
I also recently gave a seminar for the Energy Policy and Climate Program at Johns Hopkins University (where I am a lecturer) that covers the same topic:
This piece stems from a frustration I feel about not being able to take the high-impact climate science literature at face value. Image
Read 17 tweets

Did Thread Reader help you today?

Support us! We are indie developers!

This site is made by just two indie developers on a laptop doing marketing, support and development! Read more about the story.

Become a Premium Member ($3/month or $30/year) and get exclusive features!

Become Premium

Don't want to be a Premium member but still want to support us?

Make a small donation by buying us coffee ($5) or help with server cost ($10)

Donate via Paypal

Or Donate anonymously using crypto!

Ethereum

0xfe58350B80634f60Fa6Dc149a72b4DFbc17D341E copy

Bitcoin

3ATGMxNzCUFzxpMCHL5sWSt4DVtS8UqXpi copy

Thank you for your support!

Follow Us!

Send Email!

:(