(Saturday, January 19, 2013, morning; 4th floor, Sora Akiyama)

"What are you doing!"

"Yuta, this is my latest 'Evil King's True Eye Space-Time Resonance Magic Array', which can be used to find space-time warp points that connect to foreign lands!"

"Hey, don't mess with these devices!"

Sora Akiyama heard these suspicious conversations coming from the living room, so he put down the tablet in his hand and walked out of the study. Pen fun and pavilion www.biquge.info

"Aren't you doing your homework?" he pointed to the large magic circle projected on the wall, "Why don't I remember that the standard course for mortals has a magic circle construction?"

Yuta Tomigashi and Yuroka Totori blushed at the same time. The two of them had come to Akiyama to borrow math software and wall projection to deal with the most difficult math part of their winter vacation homework, but it seemed that the little bird Yurouka couldn't help but be tempted to play with the circle drawing.

"Ah, that ......" Yuta Tomigashi glared fiercely at the bird Yurokuka, "I'm sorry, Akiyama-kun." ”

"It's okay, it's okay, this thing was meant to be played. But let me remind you, school will start the day after tomorrow. ”

Sora Akiyama returned to his study and began to read the literature at hand.

This paper illustrates a technological breakthrough in the electronic repair of spinal cord injuries. Spinal cord injuries disrupt communication between the brain and the spinal circuits that orchestrate movement, interrupting the transmission of information between the brain and the corresponding spinal cord parts, resulting in an individual's inability to control that part of the muscle and lose the ability to move accordingly. One possible treatment option is to use a brain-computer interface to bypass the damaged part of the spinal cord and connect directly to the part of the spinal cord that controls movement.

An international research team led by the Swiss Federal Institute of Technology in Lausanne has developed a novel brain-machine-spinal cord interface. They implanted an array of intracortical microelectrodes in the leg area of the motor cortex in the rhesus macaque's brain, and at the same time implanted microelectrodes in the lower spinal cord layer to stimulate the walking muscles, reconnecting the brain to the nerves of the spinal cord through wireless transmission, and successfully regaining the ability to walk in monkeys whose legs were paralyzed due to spinal cord damage.

This study is undoubtedly a great boon for patients with spinal cord injury, and research on human use has already begun. On the other hand, individual muscle activation patterns based on natural and adaptive movements have complex sequences, and it is undoubtedly a great challenge for researchers to interpret them and apply them to the brain-machine-spinal cord interface. At the same time, this research breakthrough also means that mankind is one step closer to building a "fully immersive" virtual world.

After reading this paper, Sora Akiyama clicked on several other articles. Recently, the application of brain-computer interfaces has made rapid progress, mainly focusing on medical fields such as prosthetics. In a study published in Science Translational Medicine, researchers implanted nerve electrodes in the sensory cortex that not only enabled patients to control a robotic arm, but also to re-experience the sense of touch. Another study has been on the progress of decoding brain signals, with prosthetics using electrodes implanted under the skin to sense nerve signals and successfully allowing an amputee to use his hands to comb his hair and even chop wood. Unfortunately, there is still a significant gap between the prosthesis and the biological hand. Limited by the degree of interpretation of brain signals, even the best control system simply performs a series of pre-programmed actions and cannot be controlled at will.

Sora Akiyama's knowledge of the previous world, or his previous life, did not allow him to solve this problem at once - the difference between the "humans" in that world and the humans on Earth was not only the difference between species, but the difference in the laws of physics, and it was impossible for him to directly copy it, unless he used his ability as an observer. The main knowledge that can be used directly is mathematics and philosophy.

Time passed minute by minute, and by the time Akiyama finished reading the literature pushed in this issue, the sun was already shining outside the window. He stretched out and went to the living room, only to find Yuta Tomigashi and Yuta happily studying a complex magic circle, apparently having finished their math homework.

Self-Similar Graphs...... Well, there's fractal geometry. Yes, yes, this magic array contains extremely powerful power. Sora Akiyama commented.

Yuta Tomigashi's face was a little embarrassed, but it was the little bird You Liuhua who spoke first: "[Reincarnation Master], this is the ultimate magic array used to summon [Dark Flame Stream]. ”

"[Dark Flame Flow]?" Akiyama looked at Yuta Tomigashi, whose face had changed drastically on the side, and touched his chin thoughtfully.

"Well, it's Yuta, the advanced state of [Dark Flame Heral], and the power used by [Dark Flame God] Gelzon ni Unsas. ”

"Hey, you don't need to say anything about this kind of thing!" Yuta Tomigashi blushed.

"Is there still an advanced state? It's so against the sky!" Akiyama gave him a playful look.

"Ahh......h That one...... That's just the old stuff!" Yuta Tomigashi hurriedly changed the subject, "By the way, what is fractal geometry?"

"Tomigashi-kun, Rokuka-chan, have you ever heard of fractional figures?"

Yuta Tomigashi and Yuuka Totori shook their heads.

"I'll just explain it briefly. Generally speaking, points, lines, surfaces, and bodies in geometry are 0, 1, 2, and 3 dimensions respectively, and the dimensions are all non-negative integers. However, some figures, such as the hollowed-out triangles in your magic circle, have properties that cannot be described in integer dimensions, so mathematicians have developed the concept of fractional dimensions. ”

"Well, it feels very esoteric. ”

"The scientific name of this triangle is 'Shaibinsky's triangle', which is obtained by dividing the regular triangle into four small regular triangles of equal size, then digging out the middle one, and then repeating the above operation for the remaining three. Let's first look at the properties of integer dimensional figures: a one-dimensional line segment extends twice in all directions, and its length is equal to twice the original, that is, the first power of 2, a two-dimensional square extends twice in all directions, and its area is equal to four times the original, that is, 2 to the second power, and a three-dimensional cube extends twice in all directions, and its volume is equal to 8 times the original, that is, the third power of 2, which corresponds to its dimension. ”

"If you look at it this way...... "Yuta Tomigashi," Yuta Tomigashi thought for a moment, "the side length of this triangle extends by 2 times, and since a piece is dug in the middle, its area is not 4 times the original size, but 3 times, which means that its dimension is the logarithm of 2 and 3 bases. ”

"Yes, probably around 1.58. ”

"Oh, I see. Little Bird You Liuhua looked pensive, "What about self-similarity?"

"Self-similarity is a kind of invariance under scale transformation. In other words, if you zoom in with a magnifying glass, the structure of the figure is still similar to the whole before magnification. Sora Akiyama explained, and then remembered another thing, "By the way, I heard that Aunt Chixia is moving away?"

"Well, mom is leaving the area because of a job transfer. Little Bird You Liuhua nodded, "And I don't want my mother to be tired from taking care of me." ”

This doesn't look like the second girl I met at the beginning......! It seems that there is no change in the second disease.

After saying goodbye to the two, Sora Akiyama began to think about the next research work. Akihiko Kaiba, for her part, has a collaborative project with a team at the University of California, Santa Barbara, on the field of using quantum mechanics to explain human cognition. By retrieving the information obtained from the last summoning of the [Invisual Realm], Akiyama confirmed that Kizuhiko Kayaba had a connection with the [Star Federation]. He couldn't help but think of the [Star Federation]'s "Other Shore" plan. How many scientists, as well as business tycoons and political elites, have been influenced by the exotic civilization of the [Galactic Federation]?