#### I'mLearning

##### New member

- Joined
- Jan 22, 2024

- Messages
- 8

Let the local temperature change of a moving baloon be

[math]\delta\,T=\frac{\partial\,T}{\partial\,x}\delta\,x+\frac{\partial\,T}{\partial\,t}\delta\,t[/math]

The use of the delta-symbol implies the idea of an increment and the partial derivative is defined as a limit.

Can they be compared or is this not possible from a more formal point of view?

Is the delta-symbol used as a symbol for an arbitrary increment?

I apologize if I fail to express myself correctly.

[math]\delta\,T=\frac{\partial\,T}{\partial\,x}\delta\,x+\frac{\partial\,T}{\partial\,t}\delta\,t[/math]

The use of the delta-symbol implies the idea of an increment and the partial derivative is defined as a limit.

**My question is:**How can I think of 'the size' of (f.e.) $\partial\,t$ relative to $\delta\,T$?Can they be compared or is this not possible from a more formal point of view?

Is the delta-symbol used as a symbol for an arbitrary increment?

I apologize if I fail to express myself correctly.

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