Chapter 144 - The Mathematical Achievements That Led Europe by 863 Years... Born! (6.8k)_2
"@@..."
And just as Xu Yun was imparting knowledge to Xiaoli.
Outside the main gate of the yard serving as a temporary classroom, there suddenly came a hurried knocking:
"Wang Lin! Wang Lin! Open the door quickly!"
Upon hearing this, Xu Yun instinctively exchanged a glance with Old Su, who was listening nearby.
Then he quickly walked to the gate and removed the latch.
As soon as the door opened.
He saw Old Jia standing outside with his hands behind his back and Sun Xiaochuan looking somewhat anxious.
Seeing this, Xu Yun hurriedly offered a junior's salute and said:
"Mr. Tongyu..."
But before he could finish his greeting, Old Jia grabbed him and said:
"Wang Lin, cosine, cosine, it's cosine!
The sum of several cosines can yield a value, roughly between one and a fourth and one and a third, correct?"
Old Jia's words seemed disjointed, unclear, almost as if he were rambling intoxicatedly.
But upon hearing the word "cosine," Xu Yun's heart suddenly surged with a tempestuous wave:
Oh my God!
No way?
Did Old Jia and his team really calculate the range of the incident wave's cosine?
This damn thing is already the concept of an envelope!
Even with Xu Yun's strong heart, he couldn't help but feel it pounding wildly in shock.
This.....
This is simply outrageous!
But according to the last value Old Jia mentioned, this clearly is the specific mathematical solution to the Helmholtz equation in the optical field!
You must know.
Before demonstrating to Old Jia and the others, Xu Yun had performed a simple calculation on that convex lens, as one must know the answer when posing a question.
The process of calculation was quite simple:
It involved using Green's theorem to solve the wave equation, with spherical waves as the basic algorithm for a simplified computation.
The resultant curve value was approximately around 1.2993.
And Old Jia's one and a fourth to one and a third was 1.25-1.33.
Clearly.
This is a set of similar answers.
Although in later generations, the calculation error for this thing usually doesn't exceed six decimal places, and in some cases, not even eight.
But what kind of calculation conditions exist in modern times?
In the ancient times without systematic precision, this error was already quite terrifying.
Thinking of this.
Xu Yun couldn't help but look up at Old Jia in front of him.
After days of calculations, Old Jia, who already looked quite terrible, appeared even more haggard and worn.
His hair was messy, and there were ink stains on his cuffs and collar.
But this arithmetic expert's gaze remained as sharp as an eagle's, staring directly at Xu Yun with a fire seemingly burning within.
Xu Yun had no doubt.
If he were to say "The data is wrong," this elder would not be discouraged in the slightest.
Instead, he would immediately turn around, return to the study, and recalculate the data with the others.
Then he took a deep breath and solemnly said:
"The number calculated by Mr. Tongyu is almost identical to what is recorded in the sect's notes, with only a minute difference.
But just in case, could you let me look at Mr. Tongyu's manuscript first..."
"This is simple."
Old Jia said, grabbing Xu Yun's wrist and dragging him along:
"Just follow me to the study!"
Watching as this nearly ninety-year-old little old man dragged him like a chicken, Xu Yun looked at his right hand in confusion, deeply questioning the basic skills he had practiced with Wang Bing over these days:
"...?"
Seeing this, Old Su also turned to Xiaoli and said:
"Qingzhao, let's go and take a look as well. Hopefully, the preparation of high-powered microscopes and telescopes can be put on the agenda."
And so.
The lesson was unexpectedly interrupted as the group followed Old Jia to the study.
As soon as they entered the room, Old Jia shouted:
"Everyone, I brought Wang Lin."
Upon hearing this.
Han Gonglian and others, who were already in the study, were instantly startled and prepared to say something.
But before they could speak, Old Jia continued:
"Wen Yi, go fetch our manuscript first."
Han Gonglian was taken aback for a moment upon hearing this, then quickly came to his senses.
He picked up a few manuscripts that had been prepared earlier from the desk, organized them briefly, and swiftly approached Xu Yun:
"Mr. Wang, here are all the manuscripts."
Xu Yun thanked him, found a spot with good lighting, and began examining the manuscripts.
Old Jia and the rest wisely fell silent, despite having much to say, they held it back.
The manuscript Han Gonglian provided was about ten centimeters thick, each page densely packed with numbers and symbols.
The manuscript not only recorded the entire calculation process but also served as a memo or diary, noting much of the daily deductions.
"One half of the outer ring, forming three numbers together with the disk, two axis lengths totaling twenty-five, known as the product of the axes..."
"The outer length of the lens to Qing is five and three-fourths, noted with Arabic numbers, that is, 5.75..."
"The inner lens length to Chuan is three and one-fifth, noted with Arabic numbers, that is, 3.20..."
"The mid-axis under the noon angle... the next axis above the hai angle... totaling one thousand seven hundred thirty-seven in group numbers, Liu Yi and Xiong Huanzhi respectively handle the calculations from one to three hundred eighty-eight..."
"Diameter is one-third of the circumference, squared and rooted..."
"Set the unknown as the Tianyuan... Open multiple small holes to allow light, yielding varied numerical values, so strange... so strange... could the light also be tangent?"
"Today Zi Rong came again, advising us to eat and sleep early, but due to interest, he joined us in calculations late into the night and informed us about the 'particle theory,' enlightening us greatly..."
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