lurker2718

I think it simulates each person going to their (a?) car and driving this car to another parking lot with free spots. So they do really fill up. However, I do not have first hand experience. In our glorious republic walking an public transport is all we need. So not even the most loyal party members get cars.

The only game I know where you have to consider parking is “Workers & Resources: Soviet Republic”. I haven’t provided any private cars to the people from my Republic yet. But from what I have seen, you need to provide parking lots close to their home and their destinations.

No, to orbit the earth at an height of let’s say 1000 km you would need a speed of around 7km/s. If you go faster, you don’t follow an circular orbit. Wirh around 11km/s you would be so fast to leave the gravity well of earth. The particles in those colliders are almost moving at the speed of light. To be exact, they move only 3.1m/s slower than the speed of light, so almost 300000km/s. They would fly almost straight and would be barely influenced by the gravity well.

I think it is actually the other way around. You can consider the air inside the balloon to have internal energy from the heat. And additionally you have to make room for the balloon in the atmosphere, so you have removed the atmosphere from the volume the balloon takes, which also needs energy. If you consider both you arrive at the concept of enthalpy (H = U + pV), which is very useful for reactions in the atmosphere as pressure is constant. For this example it is not that useful as outside pressure changes when the balloon rises.

Another way to see it, the pressure has no “real” energy. In a ideal gas, the only energy comes from the kinetic or movement energy of the atoms. Each time a gas molecule is hits the balloon envelope it transfers some momentum. The cumulative effect of the constant collisions is the pressure of the gas. If the balloon is now expanding slowly, each collisions also tranfers some energy, in sum building the work the system has to do to the atmosphere. Leading to a decrease in internal, so “real” energy in the balloon. This corresponds to a decrease in temperature.

While I agree in general, one point is a bit to simplified in my opinion

In other words, there are fewer air molecules per cubic foot (volume of air). The molecules are farther apart and can hold less heat energy. Because “heat” is what we say when we mean molecules are moving around.

Less molecules mean less heat, it has nothing to do with the temperature, if you just decrease the density by removing half the molecules, you have the same temperature.

It cools down because it expands adiabatically. Consider a very thin balloon filled with air which is warmer than the surrounding. This now rises up, but as it does, the pressure decreases, causing the balloon to expand. During this expansion, the balloon transfers energy away from itself, because it has to push away air, to make room for expanding in the surrounding. This work cools the air inside the balloon. Assuming the air inside is dry, it would cool around 10 °C per km it rises. Now if you think about it, the balloon just stopped the inside from mixing with the outside. If you look at a large “piece” of air, it does not mix very fast, so you can remove the balloon and just consider what happens with warm air heated from the ground.

Now this does not mean, it has to be cooler when higher up. The same points hold, inside a house, but there it is often warmer when higher.

The best explaination is when looking where the heat comes from and goes too from the air. The atmosphere is mostly heated from the surface of earth, so the bottom and cooled from the upper layers. So naturally it gets hotter where it is heated. The question is now by how much? There are three modes of heat transfer in the atmosphere: radiation, conduction and convection. The first two are very slow. Connection is fast but has limits. Consider the piece of air, if it rises, it cools. So at some place it may be the same temperature as the surrounding air, so it stops rising. This means the convection works only when the air gets cooler by 10 °C/km going up (~6.5°C when the air is moist and precipation happens). So this temperature gradient is observable very often.

Ja das stimmt, da hab ich aus der Physik kommend zu anwendendunsorient gedacht.
Aber für die Frage ob komplexe zahlen gebraucht werden, reicht es, eine isomorphe alternative zu haben. Die komplexen Zahlen haben auch nicht mehr mit Quantenmechanik zu tun wie die Matrizen, nur sind sie leichter handzuhaben.

Die gesamten 2x2 R Matrizen nicht, aber es gibt eine Untermenge die ein Körper ist und isomorph zu C. Nämlich alle die sich durch Linearkombination der Einheitsmatrix und der Rotationsmatrix um 90° ergeben.
Also a+ib ~ [[a, -b],[b,a]]
https://math.stackexchange.com/questions/1028371/complex-number-isomorphic-to-certain-2-times-2-matrices#2644514

Der Vergleich hinkt. Die unterschiedlichen Ursachen treffen verschiedene Vogelarten deutlich anders. Für gewisse Arten (zb Rotmilan) macht Windkraft derzeit einige Prozent der durch Menschen verursachten Tode aus. Das ist derzeit noch kein großes Problem, wird allerdings die Windkraft hoffentlich stark ausgebaut, so ist es nicht mehr zu vernachlässigen. Damit sollte man sich auch jetzt schon Gedanken machen, wie das Problem verhindert werden kann.

Natürlich heißt dass nicht dass deswegen der Windradausbau stark eingeschränkt werden soll Auch sollte nicht dieser Ursache des Sterbens mehr Aufmerksamkeit geschenkt wird wie den anderen Ursachen, was derzeit passiert. Aber nur die Summe der Vögel zu vergleichen macht meiner Meinung nach wenig Sinn, da diese sehr unterschiedliche Lebensweisen, Häufigkeiten und Gefährdungen haben.