Questions tagged [mathematics]

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3answers
41 views

Is There a Correlation Between Earthquake Magnitude and the Deformation Observed in the Rock?

I've been doing a little geology research. One of the topics that I noticed was the existence of "deformations" that appear in the rock layers if an earthquake has occurred. Smaller ...
3
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0answers
26 views

Dynamic frontogenesis derivation

On page 142 of Lackmann's Midlatitude Synoptic Meteorology, Equation 6.7 gives the derivative of the Boussinesq buoyancy $b = \frac{g \theta'}{\theta_0 (z)}$ (perturbation potential temperature $\...
14
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4answers
5k views

What is the pressure at the center of the Earth?

In the question Does gravity increase the closer to the core you get?, it was determined that gravity reduces to zero at the center of the Earth. That is logical. However if pressure is proportional ...
3
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1answer
59 views

Simple model that exhibits a climate tipping point

I am trying to understand climate tipping points better and I am looking for a place to ask the following question. If Earth Science SE isn't the right place, a recommendation of a better place would ...
3
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0answers
30 views

What is the formula to input date, time and longitude. Where i can get latitude of the civil twilight back?

I am making a watch app, where i need to know where there is currently sun, and where its not. I need to have some sort of formula/function to insert: date, time and longitude, and get back the ...
0
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0answers
25 views

Differentiate correlation of between depth and bouguer anomaly

Assume we measure bouguer anomaly (g) and depth (H) of the certain horizon through a profile at each point. Based on data we get a correlation between H and g and express it with a polynomial equation ...
1
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0answers
50 views

How does one compute an ECEF vector? [closed]

I know how to compute an n-vector given the latitude and longitude of a location. I want to compute the ECEF (Earth-centered, Earth-fixed) vector of two positions so that I can subtract those vectors ...
3
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3answers
249 views

How many days has it been since the Cambrian explosion?

I want to know how to calculate the number of days since an event in Earth's past, and am using the Cambrian explosion as an example. I define a day to be one rotation of Earth with respect to the ...
6
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1answer
659 views

How is relative humidity determined from a wet and dry bulb readings?

The question What is the second thermometer in the image from the Esperanza Antarctic temperature record? shows what might be a wet/dry bulb setup. I've given one to a friend to measure humidity for ...
2
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3answers
1k views

formula to convert precipitation in mm/h to runoff in m³/s

I have precipitation data in mm/h but to use them for my model I need them in m³/s. Is there a formula to convert them?
3
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1answer
201 views

What is the lowest latitude for which if the ideal solar energy received each day for a year is graphed, the graph would contain one peak?

I asked a question with the same meaning on Quora, but it seems no one got it, so I'm asking it here with a very different wording. I'm actually not sure if this would belong here or on the Astronomy ...
1
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2answers
61 views

Is there a general equation to know how big of an area is affected by an earthquake?

If you visit USGS earthquakes listing, you get 3 points of information for each earthquake: Location, depth, magnitude. My question is, is there a way to approximate how big of an area is affected? ...
2
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0answers
20 views

What is the meaning of nomalized difference Built-up index?

I know how to calculate it by remote sensing image, but why do we define this? What can we know about a remote sensing scene by this indicator? What's the connection between normalized difference ...
3
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1answer
177 views

What types of high-level mathematics are useful in doing climate modelling/meteorology?

I'm aware that PDEs, linear algebra, numerical analysis and such are staples of most applied mathematical endeavors. I want to know if there are other areas of "higher" mathematics that have useful ...
0
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1answer
44 views

How to determine (lost) surface (km²) of a country when both population and population density have changed? [closed]

I am not sure if the question suits in this stack board, but I give it a try. Let's assume there is a country with a population of 327 million people and a surface of 9.6 million km², resulting in 34 ...
2
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0answers
106 views

Optical Thickness of the Atmosphere

Homework question: Show that the absorption optical thickness of the atmosphere at pressure $p$ (i.e., between $p$ and the top of the atmosphere) as a function of the mixing ratio of the ...
5
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0answers
315 views

regression map vs correlation map

What is the exact difference between regression and correlation maps? I know that they are often used in climate science but which is the difference in the information they provide? Here an example I ...
2
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2answers
1k views

How do I convert kg·kg⁻¹ to ppbV (parts per billion volume)?

I am using the CAMS model output data to figure out the ground level ozone at a particular place. It is given in mass mixing ratio, and I want to convert to parts per billion volume mixing ratio (...
1
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1answer
139 views

how much entropy is there in the shape of a rock?

If I dig up a given rock, make a 3d model of it, and compare that model with those of a large number of other rocks from the same area, what fraction of other rocks would have the same 3d model? Let'...
4
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1answer
523 views

Applications of differential/integral calculus in crystallography (teaching undergraduates)?

I'm a mathematics professor who is seeking to find interesting, application-driven ways of teaching freshmen college students differential/integral calculus. I am in no way versed in crystallography ...
0
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3answers
196 views

What makes up a gradient [closed]

My question is a two part question. First I currently know of two different gradients.I think there is more; however, I don't completely understand what makes a gradient. So, here is my questions. ...
4
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1answer
136 views

Growth of polar vortices vs projective geometry; what does this figure mean?

I was reading the Wikipedia article about a mathematical subject called projective geometry, and I noticed that the second image in the body of the article referred to the "growth of polar vortices". ...
8
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1answer
2k views

Math needed for Hydrology, specifically surface water hydrology

I wanted to know what math is needed for hydrology, in particular surface water hydrology. In my research online, of Master's programs (either in Hydrology or Environmental Science with a ...