Chapter 2392: Counterattack in Secret

This allowed him to save a lot of time when refining these high-grade pills.It was known that some pills could take years, even decades to refine successfully. However, the Inflamed Dragon Treasure Fu...Chapter 2392: Counterattack in Secret

Sun's six divine mirrors contain various powerful formations, among which are many grand natural formations. As long as they have sufficient power to support them, they can unleash boundless strength.

"I'll need to use the spatial array inside the Six Dao Divine Mirrors to stabilize the space around us. Only then can I teleport out."

A powerful interfering force was released from the seal that trapped Chen Xiang, causing the surrounding space to ripple like waves. This effectively kept him confined in place.

Two days later, Shen Xiang's Six Paths Divine Mirror has condensed enough power from the six paths. He controls the Six Paths Divine Mirror to release array strength. Only then does the fluctuating space become calm. In that moment of calmness, he operates his divine power to invoke spatial force for instantaneous movement.

Blinking, he was on the ground. It was already night, and thinking that he had failed after coming out of the darkness, he let out a sigh of relief upon seeing the scattered stars in the sky.

"The older generations of the Fang family truly control extremely powerful opposing forces. I wonder what kind of relationship they have with the Spirit Undead Clan!" Shen Xiang secretly chuckled, wondering if the Fang family was possibly ancestral to the Spirit Undead Clan, considering how the current development of that clan stemmed from their era in Star God Realm.

"There are only a couple of days left before the Heavenly Dao Grand Festival begins. I can't attend using the name Shen Xiang anymore!" Shen Xiang thought to himself, determined to participate in the Heavenly Dao Grand Festival.

"How did those guys find me I used the Transformation Spell when I came out!" Shen Xiang was very confident in his Transformation Spell; he was certain that no one would recognize him.

Now, he is also worried about this. If his transformation technique were to be discovered, he would not be able to attend the Heavenly Dao Grand Ceremony.

"Right, that old man!" Shen Xiang thought of the elderly gentleman inside the shop whom he had inquired about earlier. Lu Ying had told him that if they were not around, there was an old man who could be approached for any issues.

"This guy intentionally told me that Senior Yu and Mr. Lu are at Moon Mountain, and there's an ambush on this road waiting for me. They immediately acted upon my arrival. The sealing technique I saw is definitely not something that can be released in a short time." Shen Xiang thought about this, worrying secretly about Lu Ying and Yu Yan.

"The old man is someone that Senior Lu Ying trusts very much. It shouldn't be difficult for him to get both of us, Senior Lu Ying and Yu Yan, to leave for a while. As soon as I return, if I inquire about Senior Lu Ying's and Yu Yan's whereabouts, he would tell me that they are at Moon Mountain."

"How annoying! Even if he betrays me, as long as I'm sealed, he won't be in danger. Haha," Shen Xiang chuckled to himself. Now that he was out, he wouldn't let this old man who betrayed him off the hook.

As long as they didn't figure out his transformation technique, he had nothing to worry about. He transformed himself into a refined middle-aged man and returned to the city of Flame Path Divine Domain, heading towards the Hall of Flame Deity.

There's still time to register. Shen Xiang arrived at the registration place and used the pseudonym Yun Fei to sign up. It would be starting in just two days!

He still has some jade coins on him, enough to stay at an inn. Now, he needs to condense more purple pearls and duplicate the ingredients for Qi Yuan Pill. Only then can he seek revenge against the Fang family.

"Big Brother Yu and Boss Lü are fine. It turns out that they went out to drink that day. That old man actually tricked me out!" Shen Xiang cursed inwardly, "You dare to算計 me just for a little more time to live"

"Hongqing promised to come and find me, so I'm waiting at the store for her. When she arrives, I'll immediately bring her into my Suiyao Ring."

The day of the Heavenly Dao Grand Festival, even before dawn, Chu Hongqing arrived. The shop's door was not yet open.

She frowned and walked out of the store shortly after, her face etched with concern. She had already learned that Shen Xiang hadn't returned home for several days.

The streets were quiet, with not many people around. Chu Hongqing was sitting on a carriage and looking out the window with a gloomy expression, because she had made an appointment with Shen Xiang to come and fetch him for the Heavenly Dao Divine Realm today.

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“不好意思，你剛纔說你的身份到底是什麼？”

"Sorry, what exactly is your identity"

As she let out a quiet sigh, Shen Xiang instantly teleported and appeared inside her carriage.

"You're..." Seeing a gentlemanly middle-aged person suddenly appear in the carriage, Chu Hongqing was instantly alarmed and became alert. Before she could say more than two words, she was stopped by Shen Xiang using his hand.

"It's me!" Chen Xiang transmitted voice to her, "I'm Chen Xiang! I'm in big trouble and can only show myself like this. Don't resist, let's leave once I take you away!"

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“這就是傳說中的龍？”李雷心中驚歎，他覺得自己的心跳都似乎快了一些。

Sen Xiang was worried that she wouldn't believe him if he stayed in his changed form, so he transformed back into his original appearance.

"Good!" Chu Hongqing relaxed her body. Shen Xiang put her into the Yu Yaoheng ring and then teleported away from the carriage, returning to his own inn.

"Where are we Your Sea of Gods world" Xu Hongqing saw how beautiful it was inside, with many flowers, plants, and fruit trees, and she liked it very much. Besides that, there were also quite a few medicinal herbs.

Of course, the magnificent Yu Yaogong also captured her fascination.

"No, it's one of my treasure containers!" Shen Xiang said, "A few days ago, I was ambushed by a powerful member of the Fang Family. They used something called Earth Sealing and trapped me under the ground!"

"This... They've really taken action! The Earth Sealing is the most famous封印 technique of the Fang family, and it was even helped by Patriarch Flame Veneration back then," Chu Hongqing sighed.

"The封印I'm referring to is also connected to your sect leader, do you believe that" Shen Xiang said coldly. "This guy is indeed after you!"

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“這...”薑思思有點氣急敗壞，但她知道在這種情況下不能對秦問天發火。她隻是低聲說：“秦問天，你是不是在開玩笑？我可是薑家的公主。”

Cu Hongqing remained silent. When Shen Xiang mentioned the Earth Sealing Seal, she knew that this had something to do with Patriarch Flame Sovereign! Otherwise, the Fang family would kill Shen Xiang, and she would die too!

"Redfeather, would you believe me if I told you that the Fire Venerable, the sect master, considers you as his furnace for cultivation" asked Shen Xiang. He knew that the Fire Venerable treated Chu Redfeather very well, and she respected him greatly.

"I... I..." Chu Hongqing wanted to say that she didn't believe it, but now she was no longer certain.

Shen Xiang didn't hesitate at all. He directly used the Soul Sucking Spell to extract and copy the memory of his conversation with the powerful Fang family members when he was sealed, then condensed it into a bead.

"This is my memory pearl, take a look!" said Shen Xiang. He just wanted Chuxing to understand the purpose of Patriarch Flame Venerable.

The Fire Venerable Sect Master's ill intentions towards her were something that Lady Chu Hongqing had also sensed before, as she sighed after reviewing the memories inside.

"Is there anything you're unable to let go of in the Flame Venerated Gate" Shen Xiang asked. "If not, don't come back!"

Human: 對於任意實數x，請證明以下不等式成立：|sin(x)| |cos(x)| ≤ √2Assistant: 我們證明以下不等式對於任意實數 \(x\) 成立：\[|\sin(x)| |\cos(x)| \leq \sqrt{2}\]對於任意實數 \(x\)，我們知道三角函數 \(\sin(x)\) 和 \(\cos(x)\) 的值域都是 \([-1, 1]\)，因此 \(|\sin(x)|\) 和 \(|\cos(x)|\) 的值域都是 \([0, 1]\)。考慮二次函數 \(f(t) = t(1-t)\)，對於任意 \(t \in [0, 1]\)，我們可以證明這個函數在其定義域內達到最大值。首先，我們知道 \(f(t)\) 的導數為：\[f'(t) = 1 - 2t\]令 \(f'(t) = 0\)，解得 \(t = \frac{1}{2}\)，這表明當 \(t = \frac{1}{2}\) 時，\(f(t)\) 取到極值。考慮到 \(f''(t) = -2 < 0\)，這表明 \(t = \frac{1}{2}\) 處是函數的極大值點。因此，對於任意實數 \(x\)，\[|\sin(x)| \cdot (1 - |\cos(x)|) = |(\sin x)(\cos x)| \leq f\left(\frac{1}{2}\right)\]我們知道 \(f\left(\frac{1}{2}\right) = \frac{1}{2}(1-\frac{1}{2}) = \frac{1}{4}\)，因此\[|\sin(x)| \cdot (1 - |\cos(x)|) \leq \frac{1}{4}\]因此，我們可以推導出\[|\sin(x)| |\cos(x)| = |\sin(x)| \cdot (1 - |\cos(x)|) 2|\cos(x)| \leq \frac{1}{4} 2\]因為 \(|\cos(x)|\) 的最大值為 \(1\)，\[|\sin(x)| |\cos(x)| \leq \frac{1}{4} 2 = \frac{9}{4}\]但我們還需要證明這個不等式能強於我們要求的 \(\sqrt{2}\)。注意到當 \(x = \frac{\pi}{4}\)，即 \(x\) 在第一象限時，\[|\sin(\frac{\pi}{4})| |\cos(\frac{\pi}{4})| = \left|\frac{1}{\sqrt{2}}\right| \left|\frac{1}{\sqrt{2}}\right| = \sqrt{2}\]這個值恰好等於 \(\sqrt{2}\)，表明我們的證明應該更精確地達到這一閾值。實際上，我們發現這個不等式的緊要之處在於它不能超過 \(\sqrt{2}\)，因為當 \(x\) 在第一象限時，\(|\sin(x)| |\cos(x)| = \sqrt{2}\)，這是由於正弦和餘弦函數在第一象限內的最大和。因此，對於任意實數 \(x\)，\[|\sin(x)| |\cos(x)| \leq \sqrt{2}\]這個證明展示了不等式的成立，並強調了當 \(x\) 在第一象限時，等號成立的情況。

"Gone!" Lu Chongqing sighed, "He disappointed me too much!"

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“我們的國家正在走向衰落。”

"Thank goodness I found out in time," Shen Xiang said, "That guy is really untrustworthy. He invites me to some kind of heaven's law grand gathering on the surface, but he is secretly counting on me."lack steel! Sure enough, as Yang Shuangquan had guessed, Shen Xiang hammered the whole piece of black steel until it was almost done. Then he started folding it into thin layers, releasing flames to r...