Disturbance was caused a little after midnight on Monday in the old workers’ quarters, behind the Trikala Hospital, as a man was arrested for attempting to set fire to his neighbor’s house.
According to information from trikalavoice.gr, the man went to set fire to his neighbor’s house, who lives with his wife and children.
However, he was noticed and the police were notified.
As reported in the same news outlet, the perpetrator is known to the police, as he has been involved in various incidents, while it is reported that he has been a former drug user and that he is facing.
The man was brought to A.D. Trikala and will be sent for a psychiatric examination and possibly for hospitalization.
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#man #arrested #set #fire #neighbors #house
Partial derivative Mathematica
In this context, the notation `u[x, y, t]`, `u[x, y][t]`, and `u[x][y][t]` may represent different ways of organizing a multi-parameter function in Mathematica, each with distinct implications for how the function is interpreted and manipulated.
1. **`u[x, y, t]`**:
– This notation suggests that `u` is a function of three variables: `x`, `y`, and `t`.
– You can think of `u` as being defined directly in terms of its three inputs.
- When you take derivatives or perform evaluations, you refer to all three variables simultaneously. For example, `D[u[u[u[u[x, y, t], t]` would give you the derivative of `u` with respect to `t`.
2. **`u[x, y][t]`**:
– Here, `u[x, y]` is treated as a function of `x` and `y`, and the output of `u[x, y]` is itself a function of `t`.
– This means `u[x, y]` is evaluated first with parameters `x` and `y`, and then the result becomes a function that you can evaluate at `t`.
- This might be useful in cases where `u` represents a variable dependent on `x` and `y`, and this resulting value then varies in time as `t`.
3. **`u[x][y][t]`**:
– In this notation, `u[x]` is a function of `x`, which then returns another function of `y`, and subsequently that function of `y` returns a function of `t`.
– This representation is more hierarchical and indicates that you are first considering `u` as a function solely of `x`, which yields a function in `y`, which yields yet another function in `t`.
– This can be useful when dealing with nested functions or when simplifying expressions that depend on these multiple layers of function application.
while all three notations deal with the same concept of a multi-variable function, they differ in how they organize the dependencies among those variables and how you would apply operations such as differentiation or evaluation. Each notation has its purpose and can be chosen based on the specific requirements of the problem you are solving.