---
theme: default
footer: Samuele Cozzi
created: 2025-09-09T18:22
updated: 2025-09-22T13:27
---

# <!-- fit --> First Slide


ciao

--- 

# Second Slide

##  subtitle

![bg right 50%](../attachments/placeholder-circle.png)

---

# Third Slide

## second subtitle


![](../attachments/placeholder-circle.png)

---

# Autoscaling Code

```
bool getBit(int num, int i) {
    return ((num & (1<<i)) != 0);
}

bool getBit(int num, int i) {
    return ((num & (1<<i)) != 0) + ((num & (1<<i)) != 0) + ((num & (1<<i)) != 0) + ((num & (1<<i)) != 0) + ((num & (1<<i)) != 0);
}

bool getBit(int num, int i) {
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;int i = 0;
	int i = 0;
	int i = 0;int i = 0;

	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;
	int i = 0;int i = 0;
	int i = 0;
	int i = 0;int i = 0;

    return ((num & (1<<i)) != 0);
    popo
    
}
```

--- 

# Autoscaling Math

$$
f(x) = \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi + \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi + \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi + \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi + \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi + \int_{-\infty}^\infty
    \hat f(\xi)\,e^{2 \pi i \xi x}
    \,d\xi
$$