Chapter 130

Hmm? It doesn't seem as complex as the rumors say. In the end, isn't it just simple formula calculation? The complexity of this formula is at most high school level... and the writing style is too wordy.

After reading the "Six Basic Rules of Runes" recorded in the notebook, this was the first thought that popped into Gao De's mind.

"So to ensure the magic array is established as much as possible, one should minimize the actual robustness value or increase the theoretical robustness value."

"Reducing the actual robustness value means minimizing the occurrence of two identical runes connecting to reduce the number of interference pairs, and using as many low-energy secondary basic runes as possible to increase the number of runes."

"Increasing the maximum robustness value means increasing the number of runes and the number of rune pairs, or choosing magic-conducting materials with low magic resistance."

"But while increasing the number of rune pairs, it also increases the number of interference pairs..."

This was the second thought that flashed through Gao De's mind.

He subconsciously began to understand and derive this formula.

After going through the Six Basic Rules of Runes again, combined with his own understanding, Gao De had firmly memorized them in his mind.

Only then did he feel relieved to continue browsing.

Next, what caught his eye was a very simple illustration:

The main body of the pattern is a large hexagon, cleverly dividing into six equal areas by the six sides of the hexagon; each area contains a pattern, four of which are identical hexagonal patterns, and two are square patterns;

The patterns in the six equal areas all have one side overlapping with the hexagon in the center.

In addition, the numbers "0" and "1" are marked in the center of each pattern.

And below the illustration, there is a text explanation: "Assume a simple magic array, which can be formed by one composite rune, and this composite rune is composed of 7 basic runes, of which 5 are zero-level basic runes and 2 are first-level basic runes."

"According to the Six Basic Rules of Runes, calculate separately whether it can be successfully constructed on mithril material with a magic resistance rate of 1% and on brass material with a magic resistance rate of 45%?"

There are also "after-class exercises"? Gao De thought to himself, while already taking a blank draft paper and a quill from the workbench, and writing away.

"The maximum number of same-level runes connected to each rune in this magic array is 4, q=41.12. According to Rule 1, this magic array can be successfully constructed."

"When the magic-conducting material is brass: R=0.45, according to Rule 6: Q=m*N*(1-R)=7*11*(1-0.45)=42.35."

"q=E*n=20.56*2=41.12."

"Since Q=42.35 > q=41.12, this magic array can still be successfully constructed on brass magic-conducting material."

It took a total of no more than two minutes for Gao De to calculate the result.

It is indeed a relatively basic and simple calculation problem.

As long as you understand these Six Basic Rules of Runes, even a primary school student could quickly calculate the solution.

Calculating the answer is not worth praising; what is worth praising is the person who summarized these six rules.

It is because of these six basic rules that a complex problem can be calculated through a simple formula.

Didn't expect to have the opportunity to do problems in this world. Familiar muscle memory was awakened, and Gao De felt a slight joy in his heart.

Doing problems is inherently a very pleasant thing.

"Why do I always feel like something is missing?"

Gao De looked at the formula he listed on the answer sheet, unconsciously touched his chin, and his eyes revealed an indescribable confusion and unease.

His eyes swept over the formulas listed on the answer sheet based on the basic rules of runes, and every step strictly followed the theorems.

But the emptiness in his heart was lingering as soon as it arose, and that feeling of "something is missing" stubbornly existed.

To describe this feeling, it's like when doing a math problem, even though all the conditions in the problem statement have been used, some hidden key clue was ignored, causing the entire problem-solving process to go astray.

It must be an illusion. Gao De checked it carefully several times, and after confirming that there were no omissions in his answer, he finally put down the answer sheet, stopped pondering, and continued to browse down.

"According to the formula calculation based on the six basic rules, this simple magic array can be successfully constructed on both mithril and brass materials."

"In the actual process, the construction of this magic array on brass material failed... Why did it fail?"

At the end of the notebook, there were just these two sentences. And below the question of why it failed, there was a line of notes written in a smaller font.

"Rules 1 to 5 have been verified by multiple methods and confirmed to be correct. The cause of failure should be that the formula for Rule 6 is wrong."

"The formula for Rule 6 already contains all the variables that appear in the rune combination, and the calculation method has been derived many times. It is the most consistent with the rune arrangement law and has the lowest error rate among all calculation methods. Other calculation methods have astonishing error rates and are obviously unreasonable."

"Where is the problem?"

Looking at the final question mark, Gao De frowned, and his thoughts were unconsciously mobilized.

Why did it fail?

Clearly, the theoretical robustness value on brass material is also greater than the actual robustness value of this magic array.

According to the rules, it should be enough to support the construction and operation of this magic array.

But the fact is not so.

That is the formula error mentioned in the note.

So where is the formula wrong? Gao De looked at the formula listed in Rule 6 again: Q=m*N*(1-R) > q=E*n.

That strange feeling of "as if something is missing" emerged in his heart again, like an invisible hand gently plucking his heartstrings.

As his eyes wandered over the formula repeatedly, Gao De became more and more certain that something was indeed missing from the formula.

It is that the formula itself may have structural defects and is missing a key correction term. Almost instinctively, Gao De reached an explanation.

People who study mathematics and are good at mathematics, after long-term problem-solving training and experience accumulation, have seen enough formulas to form an ability.

This ability is usually called mathematical intuition.

Mathematical intuition can help them "perceive" the possible structure and form of a formula to a certain extent.

This allows them to have a preliminary guess about the solution to the problem or the form of the formula based on past experience and understanding of the formula.

This process can include pattern recognition, symmetry perception, and function behavior prediction, etc.

Of course, although mathematical intuition is an important tool and very useful in the exploration and guessing stage, guiding mathematicians to propose hypotheses and conjectures, it cannot replace proof.

Real formulas and conclusions still need to be verified through rigorous logical reasoning and proof.

Immersed in the formula, Gao De had already subconsciously added a "C" after the actual robustness value "q=E*n" according to his intuition.

q=E*n*C.

Then, he nodded with satisfaction.

Looking at it this way, it feels much more comfortable.

Gao De's eyes moved back to the last question in the notebook.

He thought for a while, and finally gave his answer at the end.

"The formula is missing an interference constant C."

A constant refers to a number with a fixed value in mathematics.

It does not change with the change of other variables; it is a fixed number and can appear in any formula.

Constants provide stability and fixed reference points for formulas, allowing formulas to more accurately describe and predict various phenomena and processes.

Anyone who has received high school education can find that many formulas, whether physical or mathematical, are composed of a fixed constant value in addition to variables.

Many natural laws are also described by formulas containing constants.

These constant terms reflect the basic attributes or physical properties in natural laws.

For example, the speed of light c, the gravitational constant G, etc.

The famous mass-energy formula E=mc^2, if you throw away the constant c, then only "E=m" remains.

It is also a formula that looks wrong no matter how you look at it, but it seems to contain all the variables in the nuclear reaction... just like the final problem in the rune formula.

Thinking again, Gao De added the word "possibly" to his answer.

"The formula is possibly missing an interference constant C."

This is much more rigorous.

(End of chapter)