Give some examples of sustainable business practices in banking today
时间: 2023-11-02 18:30:07 浏览: 43
Sure, some examples of sustainable business practices in banking today include investing in renewable energy and green initiatives, implementing responsible lending practices, promoting financial literacy and education, and focusing on social responsibility and community development. Many banks are also working to reduce their carbon footprint by implementing energy and resource efficiency measures and promoting sustainable operations throughout their business. Additionally, some banks are partnering with environmentally-focused organizations and actively participating in environmental advocacy efforts to help drive positive change in the industry.
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Give some examples of const usage in c++
Sure, here are some examples of `const` usage in C++:
1. Constants: You can use `const` to declare constants in C++. For example:
```
const int MAX_SIZE = 100;
const double PI = 3.14159;
```
2. Function parameters: You can use `const` in function parameters to ensure that the function does not modify the parameter. For example:
```
void print(const std::string& str) {
std::cout << str;
}
```
3. Pointers and references: You can use `const` with pointers and references to declare them as "read-only". For example:
```
const int* ptr = &MAX_SIZE;
const std::string& message = "Hello, world!";
```
4. Member functions: You can use `const` in member functions to indicate that the function does not modify the object's state. For example:
```
class MyClass {
public:
int getValue() const {
return value;
}
private:
int value;
};
```
5. Return values: You can use `const` in function return types to indicate that the returned value is read-only. For example:
```
const std::string getMessage() {
return "Hello, world!";
}
```
Give five examples of analytic extension
好的,以下是五个解析延拓的例子:
1. 对于复平面上的单位圆 $S^1 = \{z\in\mathbb{C}: |z|=1\}$,定义函数 $f(z) = \frac{1}{1-z}$,则该函数在单位圆内有定义,且在圆上连续。可以使用柯西积分公式将其解析延拓到整个复平面上,得到函数 $F(z) = \frac{1}{1-z}$,其中 $z\neq 1$。这个例子是解析延拓中的经典案例。
2. 定义函数 $f(z) = \sqrt{z}$,则该函数在 $z=0$ 处不解析,因为在 $z=0$ 的不同方向上取极限得到的结果不同。但是,我们可以通过在 $z=0$ 处取一个极点并定义一条割线来使其解析延拓。例如,我们可以定义割线 $\gamma$ 为从原点出发的实轴正半轴,然后将 $\sqrt{z}$ 沿 $\gamma$ 切开,从而将其延拓为沿割线的两个分支 $f_+(z)$ 和 $f_-(z)$,分别满足 $f_+(0) = 0$ 和 $f_-(0) = 0$。
3. 定义函数 $f(z) = \frac{\sin(z)}{z}$,则该函数在 $z=0$ 处有一个可去奇点。我们可以通过将 $f(z)$ 定义为在 $z=0$ 处的极限值来将其解析延拓到整个复平面上,即 $f(z) = \lim_{w\to 0}\frac{\sin(zw)}{zw}$。
4. 定义函数 $f(z) = e^{1/z}$,则该函数在 $z=0$ 处有一个本质奇点。我们可以将其解析延拓到复平面上除了原点外的所有点,定义 $F(z) = e^{1/z}$,其中 $z\neq 0$。
5. 定义函数 $f(z) = \sum_{n=0}^\infty z^n$,则该函数在 $|z| < 1$ 内解析,在 $|z| \geq 1$ 外不解析。但是,我们可以将其解析延拓到整个复平面上,得到 $F(z) = \frac{1}{1-z}$,其中 $z\neq 1$。这个例子与第一个例子非常相似,但是它的解析延拓方式略有不同。