Within a month, Daiyu mastered the entire contents of "Introduction to Mathematics," and her intelligence and comprehension amazed Lin Yun.

One day, Lin Yun called Daiyu to her side and said softly, "Yu'er, you learn so quickly, why don't you teach the other princes and princesses?"

Upon hearing this, Daiyu paused slightly, then lowered her head and said softly, "Your Majesty, I am still young and I am afraid I will not be able to win over the crowd..."

Lin Yun smiled and took her hand, encouraging her, "Knowledge knows no age. Since you have already mastered it, you are the best teacher. Besides, this is also an opportunity for you to improve."

Lin Yun had a plan in mind: if possible in the future, she wanted to build a girls' academy, with Daiyu as the best teacher.

Daiyu looked up at Lin Yun and saw the trust in her eyes. A warm feeling welled up in her heart, and she nodded solemnly: "Yu'er will certainly live up to Your Majesty's expectations."

The following day, eleven-year-old Daiyu stood on the school platform, facing a group of princes, princesses, and noblewomen, and began to teach the contents of "Introduction to Mathematics".

At first, people looked down on her because of her young age, but they were soon impressed by her talent.

Daiyu's explanations were insightful yet easy to understand, with vivid examples, and she could even patiently answer the questions of different students.

Gradually, the atmosphere in the classroom became more and more lively, and the students' interest in mathematics grew day by day.

As a prince, Hongyao greatly admired Daiyu's talent.

After class, he often took the initiative to ask Daiyu questions, and when the two discussed academic matters, Daiyu's insights always gave him a fresh perspective.

On one occasion, Hongyao couldn't help but exclaim, "Sister Lin's mathematical talent is probably even greater than that of the Grand Tutor."

Upon hearing this, Daiyu blushed slightly and said softly, "Sixth Prince, you flatter me. I only know a little bit about it."

Daiyu's fame quickly spread throughout the palace.

The wives of the princes were all curious when they heard that Daiyu, who served the Imperial Concubine, was also a talented woman who was proficient in Western mathematics at a young age.

Taking advantage of their visit to the princes and princesses, they made a special trip to the school to catch a glimpse of Daiyu's charm.

Upon seeing Daiyu's dignified demeanor and exceptional speech, the wives all praised her, and privately, they even harbored designs on her:

"Wouldn't it be a blessing for the family to marry such a talented woman?"

The news reached outside the palace, and even the Jia family heard of Daiyu's great fame.

Jia Zheng had been unable to get promoted in his position as Assistant Minister of Works for many years, which made him feel frustrated and unable to resolve his inner turmoil.

One day, Madam Wang tentatively said to him, "My lord, I've heard that our eldest daughter is quite favored by the Imperial Concubine in the palace, and is now even tutoring the princes and princesses. If she could lend a hand to the household, perhaps..."

Jia Zheng frowned and interrupted, "That's a woman's view! Lin's success today is entirely due to her own abilities. If the Jia family wants to rise above others, it still depends on the hard work of its own children and grandchildren!"

Despite this, a bitter feeling welled up in his heart. He wondered if he had offended someone over the years, as he had always been unable to get promoted, while his brother-in-law had been promoted more and more frequently and had now become the Governor-General of Jiangnan.

If Baoyu had married Daiyu back then, the Jia family would have benefited from it now.

By this time, Jia Baoyu was no longer the naive and ignorant boy he once was.

During the day, he would go to the family school in a daze, and when he returned to his room at night, Xue Baochai would come and talk to him.

At first, Baoyu thought Baochai was gentle and considerate, but as time went on, her attentiveness annoyed him.

On one occasion, Baochai brought up Daiyu's entry into the palace again, and sighed, "If I had known this would happen, I wouldn't have bothered with all that trouble back then."

Upon hearing this, Baoyu felt annoyed, gave a few perfunctory words, and turned to leave.

Xue Baochai watched his retreating figure, a hint of sadness flashing in her eyes.

She originally thought that marrying Baoyu was the best choice, but now it seems that Baoyu's heart is never with her.

She thought of Daiyu in the palace, and her heart ached with unspeakable sorrow: "If it had been me who entered the palace back then, perhaps..."

Meanwhile, Daiyu in the palace was completely unaware of all these disturbances.

She devoted herself to teaching, and in her spare time she would still consult Lin Yun for more in-depth knowledge.

Seeing her rapid progress, Lin Yun gave her the manuscript of "An Initial Exploration of Physics" to study.

Daiyu was overjoyed and studied it day and night, quickly mastering its essence.

One day, Emperor Yongzheng came to inspect the school and saw Daiyu explaining the principle of levers, and the students were listening attentively.

He stood quietly listening until the course ended before showing himself.

Everyone hurriedly bowed, but Yongzheng waved his hand and laughed, "No need for formalities. I found Miss Lin's speech quite captivating, so I couldn't help but listen a little longer."

Daiyu bowed her head and said softly, "Your Majesty flatters me. I am merely relaying what Your Highness instructed."

Emperor Yongzheng nodded approvingly: "Not arrogant or impatient, very good." He turned to Lin Yun and smiled, "My beloved consort has a discerning eye and has nurtured a talented woman."

Lin Yun smiled gently: "It's because Yu'er is clever; I only gave her a little guidance."

After that, Daiyu's fame grew even greater. Princes hinted to Emperor Yongzheng that they hoped to form a marriage alliance with the Lin family.

Yongzheng knew the truth but remained silent. He only said to Lin Yun in private, "Daiyu is still young, so there's no need to rush into marriage. However, her talent and learning will surely be of great use in the future."

Lin Yun agreed wholeheartedly and nodded, saying, "Your Majesty is wise. Yu'er's marriage should indeed be taken very seriously."

However, the rumors still reached Daiyu's ears.

One night, she sat alone by the window, gazing at the bright moon in the sky, her heart filled with mixed emotions.

She thought of her childhood in the Jia family mansion, and then of her life in the palace now, and couldn't help but sigh softly.

At this moment, Lin Yun quietly walked to her side and asked softly, "Yu'er, is something on your mind?"

Daiyu quickly stood up and bowed, shaking her head and saying, "Your Majesty is overthinking it. I'm just a little tired."

Lin Yun pulled her down to sit and said gently, "There's no need for formalities between us. If you have something on your mind, feel free to speak."

Daiyu was silent for a moment, then finally whispered, "Your Majesty, I heard... someone wants to propose marriage."

Lin Yun smiled slightly: "Is Yu'er troubled by this?"

Daiyu nodded gently, a hint of confusion flashing in her eyes: "Yu'er doesn't know what to do."

Lin Yun patted her hand and gently comforted her, "You are still young, and you have a long road ahead of you."

There's something I haven't told you: I've petitioned the Emperor, and your marriage is now entirely your own decision.

Daiyu's eyes reddened slightly as she said gratefully, "Thank you, Your Majesty."

Since entering the palace, the Empress has treated her like a sister and a mother, for which she has always been grateful. Now that she has this imperial decree, she no longer needs to worry about gossip from the outside world.

Thinking of this, she suddenly knelt down in front of Lin Yun and said, "Your Majesty treats me like a second mother. Please accept my bow." After saying this, she kowtowed and wept bitterly.