Update app.py

app.py

@@ -41,28 +41,77 @@ def log_to_notion(name, chinese_term="", user_input="", bot_response=""):
 
 def translate_to_english(name, word):
     """Generate math-related English translation with bilingual explanation"""
-    response = f"""1. 英文翻譯：Vector
-2. 中文解釋：向量是一種具有大小與方向的數學實體。
-3. English Explanation: A vector is a mathematical entity characterized by magnitude and direction.
-4. 數學使用場景：向量廣泛用於物理學和工程學中的力和位移表示。
-5. Mathematical Context: Vectors are widely used in physics and engineering to represent forces and displacements."""
+    translations = {
+        "向量": {
+            "english": "Vector",
+            "chinese_explanation": "向量是一種具有大小與方向的數學實體。",
+            "english_explanation": "A vector is a mathematical entity characterized by magnitude and direction.",
+            "math_context": "向量廣泛用於物理學和工程學中的力和位移表示。",
+            "english_context": "Vectors are widely used in physics and engineering to represent forces and displacements."
+        },
+        "函數": {
+            "english": "Function",
+            "chinese_explanation": "函數描述變量之間的依賴關係。",
+            "english_explanation": "A function describes the dependency relationship between variables.",
+            "math_context": "函數是數學分析中的核心概念，常用於表示輸入與輸出之間的關係。",
+            "english_context": "Functions are a core concept in mathematical analysis, often used to represent input-output relationships."
+        },
+        "極限": {
+            "english": "Limit",
+            "chinese_explanation": "極限用於描述函數趨於某一特定值的行為。",
+            "english_explanation": "The limit describes the behavior of a function as it approaches a specific value.",
+            "math_context": "極限是微積分中的基礎概念，用於定義導數和積分。",
+            "english_context": "Limits are a foundational concept in calculus, used to define derivatives and integrals."
+        }
+    }
+    if word in translations:
+        t = translations[word]
+        response = f"""1. 英文翻譯：{t['english']}
+2. 中文解釋：{t['chinese_explanation']}
+3. English Explanation: {t['english_explanation']}
+4. 數學使用場景：{t['math_context']}
+5. Mathematical Context: {t['english_context']}"""
+    else:
+        response = f"抱歉，未找到 '{word}' 的對應翻譯與解釋。請嘗試其他數學詞彙！"
+
     # Log to Notion
     log_to_notion(name=name, chinese_term=word, bot_response=response)
     return response
 
 def generate_example(name, word):
     """Generate math-related example sentence for Chinese word"""
-    response = f"""1. 英文例句：The vector \( \vec{v} = (3, 4) \) represents a point in 2D space.
-2. 中文翻譯：向量 \( \vec{v} = (3, 4) \) 表示二維空間中的一個點。
-3. 句子解釋：此例句中的向量表示從原點到座標 (3, 4) 的方向和距離。
-4. Sentence Explanation: This vector represents the direction and distance from the origin to the coordinate (3, 4)."""
+    examples = {
+        "向量": {
+            "example": "The vector \\( \\vec{v} = (3, 4) \\) represents a point in 2D space.",
+            "translation": "向量 \\( \\vec{v} = (3, 4) \\) 表示二維空間中的一個點。",
+            "explanation": "此例句中的向量表示從原點到座標 (3, 4) 的方向和距離。"
+        },
+        "函數": {
+            "example": "The function \\( f(x) = x^2 \\) squares the input value.",
+            "translation": "函數 \\( f(x) = x^2 \\) 將輸入值平方。",
+            "explanation": "此例句中的函數描述了輸入值與輸出值之間的關係。"
+        },
+        "極限": {
+            "example": "The limit of \\( f(x) = 1/x \\) as x approaches infinity is 0.",
+            "translation": "當 x 趨於無窮大時，\\( f(x) = 1/x \\) 的極限為 0。",
+            "explanation": "此例句中的極限描述了函數在某一趨勢下的行為。"
+        }
+    }
+    if word in examples:
+        e = examples[word]
+        response = f"""1. 英文例句：{e['example']}
+2. 中文翻譯：{e['translation']}
+3. 句子解釋：{e['explanation']}"""
+    else:
+        response = f"抱歉，未找到 '{word}' 的例句。請嘗試其他數學詞彙！"
+
     # Log to Notion
     log_to_notion(name=name, chinese_term=word, bot_response=response)
     return response
 
 def respond(name, message, history):
     """Process chatbot response and update history"""
-    response = f"You asked: {message}. Here's a sample response with math: \( a^2 + b^2 = c^2 \)."
+    response = f"You asked: {message}. Here's a sample response with math: \\( a^2 + b^2 = c^2 \\)."
     history.append((message, response))
     return "", history
 
@@ -116,8 +165,4 @@ with gr.Blocks(css=custom_css) as demo:
             show_label=False,
             elem_classes=["input-box"]
         )
-        clear = gr.ClearButton([msg, chatbot], value="🗑️ 清除對話 | Clear Chat")
-        msg.submit(respond, [name_input, msg, chatbot], [msg, chatbot])
-
-if __name__ == "__main__":
-    demo.launch()
+        clear = gr.ClearButton([msg, chatbot], value="