kwargs = dict(
            default=default,
            default_factory=default_factory,
            alias=alias,
            title=title,
            description=description,
            gt=gt,
            ge=ge,
            lt=lt,
            le=le,
            min_length=min_length,
            max_length=max_length,
            discriminator=discriminator,
            multiple_of=multiple_of,

        alias_priority=alias_priority,
        validation_alias=validation_alias,
        serialization_alias=serialization_alias,
        title=title,
        description=description,
        gt=gt,
        ge=ge,
        lt=lt,
        le=le,
        min_length=min_length,
        max_length=max_length,
        pattern=pattern,
        regex=regex,
        discriminator=discriminator,
        strict=strict,

# Thread dumps for troubleshooting
*.threaddump
# ps output for cleaning up leaking Java processes
*.psoutput

# oh-my-zsh gradle plugin
.gradletasknamecache

# Added GE support maven support to the maven build in .teamcity, per the GE docs, this dir is NOT to be committed
.teamcity/.mvn/.develocity/
/discoclient.properties

```Python hl_lines="7"
{!../../docs_src/path_params_numeric_validations/tutorial003.py!}
```

## 🔢 🔬: 👑 🌘 ⚖️ 🌓

⏮️ `Query` & `Path` (& 🎏 👆 🔜 👀 ⏪) 👆 💪 📣 🔢 ⚛.

📥, ⏮️ `ge=1`, `item_id` 🔜 💪 🔢 🔢 "`g`🅾 🌘 ⚖️ `e`🅾" `1`.

```Python hl_lines="8"
{!../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

## 🔢 🔬: 🌘 🌘 & 🌘 🌘 ⚖️ 🌓

🎏 ✔:

from pydantic import BaseModel, Field

app = FastAPI()


class FilterParams(BaseModel):
    model_config = {"extra": "forbid"}

    limit: int = Field(100, gt=0, le=100)
    offset: int = Field(0, ge=0)
    order_by: Literal["created_at", "updated_at"] = "created_at"
    tags: list[str] = []


@app.get("/items/")
async def read_items(filter_query: Annotated[FilterParams, Query()]):

from typing_extensions import Annotated

app = FastAPI()


@app.get("/items/{item_id}")
async def read_items(
    *,
    item_id: Annotated[int, Path(title="The ID of the item to get", ge=0, le=1000)],
    q: str,
    size: Annotated[float, Query(gt=0, lt=10.5)],
):
    results = {"item_id": item_id}
    if q:
        results.update({"q": q})
    if size:
        results.update({"size": size})

from typing_extensions import Annotated, Literal

app = FastAPI()


class FilterParams(BaseModel):
    class Config:
        extra = "forbid"

    limit: int = Field(100, gt=0, le=100)
    offset: int = Field(0, ge=0)
    order_by: Literal["created_at", "updated_at"] = "created_at"
    tags: List[str] = []


@app.get("/items/")
async def read_items(filter_query: Annotated[FilterParams, Query()]):

```Python hl_lines="7"
{!../../docs_src/path_params_numeric_validations/tutorial003.py!}
```

## 숫자 검증: 크거나 같음

`Query`와 `Path`(나중에 볼 다른 것들도)를 사용하여 문자열 뿐만 아니라 숫자의 제약을 선언할 수 있습니다.

여기서 `ge=1`인 경우, `item_id`는 `1`보다 "크거나(`g`reater) 같은(`e`qual)" 정수형 숫자여야 합니다.

```Python hl_lines="8"
{!../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

## 숫자 검증: 크거나 같음 및 작거나 같음

동일하게 적용됩니다:

```Python hl_lines="7"
{!../../docs_src/path_params_numeric_validations/tutorial003.py!}
```

## 数值校验：大于等于

使用 `Query` 和 `Path`（以及你将在后面看到的其他类）可以声明字符串约束，但也可以声明数值约束。

像下面这样，添加 `ge=1` 后，`item_id` 将必须是一个大于（`g`reater than）或等于（`e`qual）`1` 的整数。

```Python hl_lines="8"
{!../../docs_src/path_params_numeric_validations/tutorial004.py!}
```

## 数值校验：大于和小于等于

同样的规则适用于：

open|readonly|required|scoped",t="(?:\\\\[\\da-fA-F]{1,6}"+ge+"?|\\\\[^\\r\\n\\f]|[\\w-]|[^\0-\\x7f])+",p="\\["+ge+"*("+t+")(?:"+ge+"*([*^$|!~]?=)"+ge+"*(?:'((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\"|("+t+"))|)"+ge+"*\\]",g=":("+t+")(?:\\((('((?:\\\\.|[^\\\\'])*)'|\"((?:\\\\.|[^\\\\\"])*)\")|((?:\\\\.|[^\\\\()[\\]]|"+p+")*)|.*)\\)|)",v=new RegExp(ge+"+","g"),y=new RegExp("^"+ge+"*,"+ge+"*"),m=new RegExp("^"+ge+"*([>+~]|"+ge+")"+ge+"*"),x=new RegExp(ge+"|>"),j=new RegExp(g),A=new RegExp("^"+t+"$"),D={ID:new...