Chapter 130 An interference constant is missing from the formula
Huh? It doesn't seem to be as complicated as the rumors say. After all, isn't it just a simple formula calculation?
The complexity of this formula is at a high school level at best. And the writing method is not concise.
After reading the "Six Basic Rules of Runes" recorded in the notes, this was the first thought that came to Gothe's mind.
“So in order to ensure that the magic circle is established as much as possible, the actual robustness value should be reduced as much as possible, or the theoretical robustness value should be increased.”
"Reduce the actual robustness value, that is, try to reduce the occurrence of two identical runes being connected to reduce the number of interference pairs, and use as many secondary basic runes with lower energy as possible to increase the number of runes."
"Increase the maximum robustness value, that is, increase the number of runes and rune pairs, or choose magic-guiding materials with low magic resistance rate."
"But while increasing the number of rune pairs, it will also Increase the number of interference pairs.”
This was the second thought that flashed through Gothe’s mind.
He subconsciously began to understand and derive this formula.
After going through the six basic rules of runes again, Gothe has firmly memorized them in his mind based on his own understanding.
He then continued browsing with confidence.
The first thing that catches the eye is an extremely simple picture:
The main body of the pattern is a large hexagon, which is cleverly divided by the six sides of the hexagon. Six equally divided areas;
Each area contains a pattern, four of which are identical hexagonal patterns and two are square patterns;
Each of the six equally divided areas has an edge that coincides with the central hexagon.
In addition, the center of each pattern is marked with two numbers "0" and "1".
Below the picture, there is a text description:
"Suppose a simple magic circle can be composed of a composite rune. The composite rune consists of 7 basic runes. It consists of 5 zero-level basic runes and 2 first-level basic runes."
"According to the six basic rules of runes, the mithril with a magic resistance rate of 1% is calculated respectively. Can it be successfully constructed on brass material with a magic resistance of 45%? ”
And "after-class exercises"?
Gaode secretly thought in his heart. At the same time, he took a blank piece of manuscript paper and a quill pen from the workbench and started writing.
“The maximum number of runes of the same level that each rune in this magic circle can connect is 4<8, and the maximum number of runes of the same level that can be connected is 2≤2, which complies with Rule 3.”
“ Suppose the number of rune pairs is N, the number of interference pairs is n, and the number of runes is m. The total energy of the magic array is E, the magic resistance rate is R, the theoretical robustness value is Q, and the actual robustness value is q. br>
“According to rule 5, we can get from the picture: N=11, n=2, m=7”
"According to rule 2, you can get E=4.64*2 (the same zero-level rune adjacent energy upgrade) +1*2+4.64*2=20.56."
"When the magic guide material is mithril: R= 0.01, according to rule 6: Q=m*N*(1-R)=7*11*(1-0.01)=76.23. ”
“q=E*n=20.56*2=. 41.12. "
" Since Q=76.23>q=41.12, according to rule 1, the magic circle can be successfully constructed. "
" When the magic guide material is brass: R. =0.45, from 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, the magic circle can still be successfully constructed on brass magic guide material."
It took no more than two minutes in total, and Gaode calculated the result.
It is indeed a relatively basic and simple calculation question.
As long as you understand the six basic rules of this rune, any elementary school student can quickly calculate the solution.
Calculating the answer is not worthy of praise. What deserves praise should be the person who summed up these six rules.
Because of these six basic rules, a complex problem can be calculated through a simple formula.
I didn’t expect that I would still have the opportunity to do questions in this world. The familiar muscle memory was aroused, and Gaode was slightly happy in his heart.
Doing questions is a very pleasurable thing.
“Why do I always feel like something is missing?”
Gothe looked at the formulas he listed on the answer sheet and unconsciously touched his chin, his eyes revealing an indescribable confusion and uneasiness.
He glanced at the formulas listed on the answer sheet based on the basic rules of runes, and every step strictly followed the theorem.
But the feeling of emptiness in his heart lingered as soon as he was born, and the feeling of "something missing" stubbornly existed.
This feeling, if I have to describe it, is like when doing a math problem. It is clear that all the conditions in the problem stem have been used, but some hidden key clues have been ignored, which makes the entire problem-solving process go wrong. Crooked.
It must be an illusion. Gaode checked it carefully several times. After confirming that there were no omissions in his answer, he finally put down the answer sheet, stopped thinking about it, and continued to browse.
"Based on formula calculations based on six basic rules, this simple magic circle can be successfully constructed on both mithril and brass materials."
"In the actual process, the magic circle is constructed on brass materials But it was a failure. Why failed?”
There are just two sentences at the end of the note. Under the question why it failed, there was a line of comments written in a smaller font.
“Rules 1 to 5 have been verified by many methods and confirmed to be correct. The reason for the failure should be that the formula in Rule 6 is wrong.”
"The formula of Rule 6 already contains all the variables that appear in the rune combination, and the calculation method has been deduced many times. It is the most consistent with the rune arrangement rules and the lowest error rate among all the calculation methods. The error rates of other calculation methods are astonishing, and obviously not Reasonable."
"What's the problem?"
Looking at the last question mark, Gothe frowned, and his thoughts began to stir unconsciously.
Why failed?
Obviously the theoretical robustness value of the brass material is greater than the actual robustness value of the magic circle.
According to the rules, it is enough to support the construction and operation of this magic circle.
This is not the case.
That means the formula mentioned in the comment is wrong.
What's wrong with the formula?
Gaode 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 playing with his heartstrings.
As his eyes wandered over the formula repeatedly, Gaode became more and more certain that there was indeed something missing from the formula.
The formula itself may have a structural flaw. It is almost instinctive that a certain key correction item is missing. Gothe came up with an explanation.
Those who study mathematics and are good at mathematics will develop an ability after long-term problem-solving training and experience accumulation, and have seen enough formulas.
This ability is often called mathematical intuition.
Mathematical intuition can help them "perceive" the possible structure and form of a formula to some extent.
This allows them to make a preliminary guess about the solution to the problem or the form of the formula based on their past experience and understanding of the formula.
This process can include the recognition of patterns, the perception of symmetry, and the prediction of the behavior of functions.
Of course, although mathematical intuition is an important tool and is very useful in the exploration and guessing stages, guiding mathematicians to propose hypotheses and conjectures, it cannot replace proof.
The real formulas and conclusions still need to be verified through strict logical reasoning and proof.
Gothe, who was immersed in the formula, had followed his intuition and subconsciously added a "C" behind the actual robust value "q=E*n".
q=E*n*C.
Then he nodded with satisfaction.
Looking at it this way, it feels much more comfortable.
Gothe's eyes moved back to the last question on the note.
He thought for a while and finally gave his answer later.
"There is an interference constant C missing from the formula."
Constant refers to a number with a fixed value in mathematics.
It does not change with changes in other variables. It is a fixed number and can appear in any formula.
Constants provide stability and fixed reference points for formulas, allowing them to more accurately describe and predict various phenomena and processes.
Anyone who has received a high school education will find that many formulas, whether in physics or mathematics, often contain 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 characteristics of natural laws.
For example, the speed of light c, the gravitational constant G, etc.
The famous mass-energy formula E=mc, if the constant c is thrown away, only "E=m" remains.
It is also a formula that seems to be wrong, but it seems to include all the variables in the nuclear reaction.
It is the same as the last problem of the rune formula.
After thinking about it again, Gaode added the word "possible" to his answer.
"An interference constant C may be missing from the formula."
This is much more rigorous.
(End of this chapter)