Chapter 69: How Many Advanced Math Problems Have You Solved to Achieve This?


    Lynn, with just a few brief sentences, brought Ailock down from heaven to hell. All the students present shivered uncontrobly.


    "Advanced math is an extremely precise subject. We need to search for patterns within a vast andplex array of data, summarize them into corresponding forms to simplify the algorithms and improve the overall efficiency of calctions," Lynn said, surveying every person in the ssroom. She paused for a moment before continuing.


    "While Elloc''s summary of patterns is not entirely wrong, it has too limited an application. If the exponent growth within the squares can be 2x, it can also be 3x, 5x, or 10x! This makes the pattern no longer valid..."


    "However, this exponent summation form applies to all exponent growth that meets the criteria!" Lynn snapped her fingers, and under the surge of magic, theplex forms once again appeared before everyone.


    q≠1, Sn=a1(1-q^n)/(1-q)


    Jonny, Pierce, and the others stared at the so-called exponent summation form, pondering it deeply. Then they picked up quill pens and began to calcte, creating sequences of 2, 3, 4 times, searching for patterns and attempting to plug them into the form.


    With Ailock''s previous summary in mind and deriving from q≠1, Pierce quickly realized that the symbol referred to the exponent''s multiplier. But why subtract 1?


    Pierce bit his finger and plugged in the initial 2x growth pattern, ignoring the (1-q) part and proceeded with the calctions. He found that it worked perfectly, but the resulting number was negative.


    So, did thetter part of the form transform negative numbers into positive ones? But if it was a 3x exponent growth, the result wouldn''t make any sense...


    Pierce''s brain raced, and he felt he was on the cusp of a breakthrough. What could it be?


    Inside the entire ssroom, students were all engrossed in their work, some scratching their heads, some pulling their hair, but not a single one chose to ck off.


    Is the studying atmosphere at the Iyeta Magic Academy always this intense?


    Lynn found it a bit strange. These people were really passionate about learning.


    The majority of the ss went by quickly. Just when Lynn thought today wouldn''t yield any results, a hand shot up high.


    "Professor Lynn, I have some ideas!"


    The one speaking was Jonny. After receiving permission, the young girl stood up and said, "In the summation form, isn''t a1 the number ced in the first square, q represents the multiplier, and n corresponds to the number of squares, right, Professor?"


    "Approximately correct. After ss, you can collect your reward at the academy''s entrance!" Lynn nodded in response. Though Jonny''s exnation was quite vague, it was also absolutely correct.


    Pierce, on the other hand, couldn''t help but pound his chest and stomp his feet. After Jonny''s reminder, he quickly understood why he was so close to solving it! Just a little more, just a little more!


    After asking Jonny to sit back down, Lynn proceeded to exin what a geometric progression was, as well as its general term and summation forms, and continued until she exined how each form was derived.


    The wizard apprentices below earnestly picked up their quill pens, wrote down every word Lynn said on their pages, and then tried altering the first term and the multiplier repeatedly to conduct verifications. The desks quickly piled up with various sheets of paper...


    It had to be said that with the general and summation forms in hand, the speed of calctions increased several times over. The moreplex the equation, the faster the improvement.


    Watching the enthusiastic students tackle their problems, Lynn couldn''t help but sigh. Teaching was way too easy for her! If only this was the scene in all schools across the Federation, then the future of science and technology would be limitless.


    ...


    The Advanced Math ss had quicklye to an end, but Ailock and others were reluctant to leave the ssroom. They continued to discuss the derivation of the summation form.


    "Jonny, fromst night till now, how much has your control over magic increased?" a ck-haired witch apprentice caught up and patted Jonny''s shoulder, curiously inquiring.


    "About ten percent?" the silver-haired girl thought for a moment and replied casually.


    "That''s a little more than what I achieved," the ck-haired witch apprentice mumbled, without any envy on her face.


    It was rumored that Ailock had spent a sleepless night doing math problems and found that he had increased his control over magic by around twenty percent the next day. This news had caused quite a stir at the Iyeta Magic Academy. So, this morning, any wizard apprentice without ss came to hear what miraculous power this so-called advanced math ss possessed. She was naturally no exception.


    The conclusion was quite clear;plex and intricate math problems could effectively enhance their mental faculties. The process of logical deduction, searching for and deciphering numerical patterns, was also interesting, at least more so than the tedious meditation.


    Jonny paid no attention to the ck-haired witch''s words. She gazed back in the direction of the ssroom, deep in thought. In the past six months, how many advanced math problems had Lynn done within the Society of Mystical Arts to achieve her current aplishments...


    ...


    "The ability to control magic can actually be improved by doing math problems?" Lynn couldn''t help but hear the students'' discussions, and it took her somewhat by surprise.


    However, upon closer consideration, it made sense. Her significant increase in power through a mental connection with an AI resulted from the overload mode substantially enhancing herputational power or, in other words, her mental strength.


    This was crucial for wizards, as their ability to control magic was closely tied to the strength of their mental power. What frustrated Lynn was that this happened to be her blind spot in knowledge.


    At least the process of forming magical patterns was somewhat simr to building muscle memory through repeated practice. For instance, picking up a ss from the table and taking a sip required determining the distance, calcting the right angle and force to grasp the ss, and finding the most natural arc for lifting it to your lips.


    Under subconscious control, such aplex process could be executed instantaneously, without any hindrance. Spellcasting was no different. With extended practice, a mere thought could unleash incrediblyplex magic.


    But there was a prerequisite – the wizard''s mental strength had to be substantial enough to provide sufficientputational power. Otherwise, the spellcasting process would be prolonged, revealing vulnerabilities.


    Thinking this over, Lynn rubbed her chin, contemting whether to solve a few calculus problems for herself...


    Who knows, it might actually be beneficial?


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