page 9. A person's life is long enough to fulfill their mission! Are you doing everything you can to seize opportunities?

This is Jiku. This time, I'd like to discuss the meaning of a person's life. I'll be writing about the theme, "A person's life is long enough time to fulfill their mission."

A person's life. Hmm. A person's life is fleeting and difficult. I recommend living each day to the fullest. If you spend a day pushing yourself to the limit, and before you know it, the sun has already set, it's not such a bad thing.

As a day, it's very short because you're focused on work, but when you look at it as a month or a year, it's strange how a month or a year ago feels like a distant past. A person's life is long enough time to fulfill their mission.

I think this statement only applies when you live each day desperately to fulfill your mission. As for what a mission is, I think what one considers a mission is different for each person. You

don't necessarily need to live for someone else, and even if it's your own dream, I think that dream is a fine mission. I feel that thinking of a mission as simply a future dream is a bit too simplistic and they're not the same thing.

That said, future dreams can also be seen as goals that you must achieve, so they can also be seen as a kind of mission.

Even if your mission is to take action to make society better, as long as that mission doesn't go in the wrong direction, you should be able to see a concrete path forward of what you need to do.

I, too, worked 16 hours a day, and at one point I thought I had fulfilled my mission. I thought I had fulfilled my mission when I was satisfied with my work and felt I didn't need to ask for anything more.

However, looking back now, I realize that I was only halfway there, and that there may be an unseen future ahead, which I later came to understand is that thinking about that opens up even more possibilities for the future.

From my experience, I can say that a mission is the role given to you, and fulfilling that role, that is, being satisfied with your work, is what it means to fulfill your mission.

Lately, I've been thinking of this blog itself as a kind of self-improvement, but it's also part of my mission, and I feel it's correct to see that I'm fulfilling my mission by writing this blog.

Fulfilling the role given to you by society is not easy. The higher your aspirations, the greater the role you should be given.

Historical figures are unforgettable individuals who fulfilled great missions, but even without such grand missions, I believe that if each individual lives honestly in society, goals that they must achieve will naturally become apparent.

Even if those goals seem meaningless at first glance, through the earnest effort to achieve them, the goals may change shape and transform into the goals that we should have originally strived for.

That is where our growth and future lie, and by clearing each challenge, our vision will broaden, and we will be able to see things we couldn't see before.

In my case, I would say that blogging is a kind of mission, but I still can't clearly envision whether I want to use it for self-improvement or education.

However, if I continue to write daily records of my thoughts and feelings, I think that the ideal form of my blog—my mission—will eventually appear before my eyes.

To avoid feeling inadequate at that time, it is wise to complete the necessary studies now, before a new mission becomes clear. I believe that a person's mission is to be given a suitable goal that requires the appropriate level of ability for that person.

Mission is a difficult topic. My favorite proverb, "Do your best and leave the rest o fate," also implies that in order to fulfill one's mission, one must work hard and prepare thoroughly, and then wait for the opportunity to come. This shows that there are two stages:

the stage of working hard to prepare, and the stage of being fully prepared and waiting for the opportunity. If one lacks ability, the opportunity will never come, and even if it does come, one will not be able to fulfill it.

In other words, it seems important to live each day to the fullest so that one's abilities improve and one is in a state where one can fulfill the opportunity whenever it comes. Live

each day so densely that you can't remember what you did an hour ago.

In a sense, you are in a state of memory loss in the short term of a day, but when you look back over a medium-term span of a month or a year, it feels like it was so long ago that you can't remember. By accumulating this over a long-term span of 5 or 10 years in the form of daily work, you acquire overwhelming ability.

I, too, have been striving to fulfill my mission not just for 5 or 10 years, but I'm approaching 15 years of experience. Seniors with 20 or 30 years of training may scold me, saying I still have a long way to go, but after struggling to fulfill my mission for 15 years, I feel a firm confidence that I have a solid foundation that cannot be shaken by a gentle breeze.

In the world of sports, the mid-30s is often the time to retire, but for those who compete intellectually, or for businessmen, the 30s and 40s are the years when they can perform at their best.

I am currently in my mid-30s, and five years have already passed since my first competitive period at age 30, but I want to achieve great success in the next 15 years, starting with this blog. The first step is updating this blog every day, and from here I would like to expand my field of business.

Until a few years ago, my mission was to make society a better place, but now, through this blog, I live each day with a renewed sense of mission: to nurture and educate the next generation.

First and foremost, as a preliminary step to nurturing future generations, I believe my own potential lies in experimenting with the possibilities of this blog.

This article has given me much to think about, and Im also curious to hear the reactions of my readers. Our mission takes root in our daily lives.

What do we consider to be our purpose in life, and how do we challenge our own potential? I believe that our mission lies in the daily training we undergo to realize our limitless potential.

What is your mission? What preparations are you making for that mission? So that when an opportunity comes your way, you can seize it with your own abilities. That's all. Thank you. Jiku.

Book 33. To live each day to the fullest, as if praying to God, and to fulfill the mission given to me in this life and this lifetime. (Updated 2026.05.09)

Hello. This is β (Beta). Today's theme is "Living as if praying to God." Praying to God. Hmm. In universal heroic tales, even in content like manga, there are often scenes where characters pray before battle. The act of praying to God before combat helps them compose themselves, perform their routines, boost morale, and defeat one formidable enemy after another—this is a highlight of such heroic tales and manga.

When we pray to God, we pray to various deities specializing in different areas, such as those for passing exams, safe childbirth, or traffic safety, and we visit these shrines to offer our prayers. For me personally, I pray to God during times of crisis or when I achieve success, so I understand that I pray to God in special circumstances that are different from the usual.

What does it mean to live as if praying to God? It's an eternal question.

Now, Max Weber has a classic work called "The Protestant Ethic and the Spirit of Capitalism," which has been translated into Japanese and published by Iwanami Bunko. This book deals with the same kind of awareness as living in prayer to God.

These Protestants have dedicated their lives to working tirelessly in order to glorify God. The fruits of their work are seen as service to God, and this is why Protestants have produced so many of America's leading billionaires. In this way, the social act of working itself has improved society and helped many people. In other words, work has been about serving the people of society.

I think that if you work 8 hours a day, 250 days a year, that amounts to 2000 hours of work per year. It's funny how things work; not just in this job, but for families with children, there's a natural upper limit to how much you can work. In other words, anything beyond 2000 hours of full-time work is spent on family and leisure.

I believe that if you want to achieve great success, you should work 1.5 times the 2000 hours of full-time work, which is 3000 hours. This is because the sheer volume of work increases compared to 2000 hours of full-time work, and through a synergistic effect, a person's skills and knowledge related to their work improve exponentially, leading to a significant increase in productivity.

The saying "strike while the iron is hot" means that working hard when you're young will pay off later on. For example, let's say you work three jobs and work 4000 hours a year, which is double the 2000 hours of full-time work. The calculation is that 8 hours x 250 days = 2000 hours, so you just need to work 16 hours a day, or 16 hours x 250 days = 4000 hours.

In that case, the biggest enemy is depression. Because having a poor mental state and damaging your physical health is the biggest waste of time. I myself currently want to work 12 hours a day, 365 days a year, for over 4000 hours.

Ultimately, in this world, quantity over quality is more important. If you do a lot of work, the quality will improve, and if you maintain the quantity even as the quality improves, the quality and productivity of your work will continue to rise. Instead of viewing work as just work, if you approach it with a playful or hobby-like attitude, you can enjoy work like a game.

Given the prevailing academic norms that view work as a source of suffering, it's difficult to handle demanding tasks like working 12 hours a day. As long as you perceive work as painful, you'll eventually fail and have to quit.

Now, returning to the main topic, what does it mean to live as if praying to God? In the world 100 or 200 years ago, when Protestantism was on the rise, there was nothing like the RPGs (role-playing games) on video games. I think that back then, some kind of motivation was necessary to be enthusiastic about one's work.

While some working adults today may enjoy their jobs as if they were games, it's likely that very few people viewed work in that way 100 or 200 years ago. Therefore, I believe that people achieved a certain level of social success by praying to God and working with the intention of serving Him.

To live as if praying to God. In other words, by working diligently every day, being grateful for the fruits of that work, and expressing gratitude to my family every day, I may have been able to live a life that was like praying to something vague like God.

I want to live each day to the fullest, as if praying to God, and live each day with gratitude, fulfilling the role, my mission, that has been given to me in this life, knowing that I don't know when my life will end. What do you, the readers, think?

That's all. Thank you for your continued support. This was β.

page 8. Input with difficult words and output with easy words!? Let's start by looking through the most difficult textbook!

 Hello. This is Ten Watanabe. Today's article is about "inputting with difficult words and outputting with easy words."

If you want to read difficult texts, I recommend buying a thick medical textbook. In reality, a thick textbook of over 1000 pages takes a lot of time to read even if you read it normally, and it is difficult to make progress because difficult technical terms appear frequently.

When I read difficult textbooks, I felt a sense of excitement and anticipation, like encountering the unknown. In my twenties, I diligently read from the first page to the last in order, but recently I have come to think that this method of reading from beginning to end is inefficient.

In other words, I believe that the learning effect is greatly improved by having a theme, such as what you want to know or what you want to research, rather than just vaguely skimming through the textbook in order. Now

I would like to talk a little about general principles. Reading from beginning to end in order is the simplest method, and that is precisely why it is an inefficient method. Even if you read through a thick medical textbook, you'll likely remember very little of it.

Of course, memory varies from person to person, and some people have eidetic memory, able to remember everything at a glance. However, computers are far superior in memory, and they can easily retrieve information by simply searching for keywords.

I agree that, generally speaking, machines have a better memory than humans. However, in terms of creativity, artificial intelligence cannot currently surpass talented creators. Even in creativity, a minimum level of foundational knowledge is necessary, and creative activity is impossible without a foundation.

Personally, I feel that memory and creativity have a positive correlation, meaning they enhance each other. To achieve this, I believe that the initial stage of learning requires reading through all the given materials.

Beginners often don't even know what they want to learn, and reading famous, slightly expensive classics that everyone recommends can gradually broaden their understanding of the subject they are studying.

Textbooks, as a collection of information, are a valuable tool when you want to gain an overall understanding.

For beginner learners who want to study, a simple method of reading through an easy-to-understand textbook from beginning to end should give them a general overview of the subject they are studying.

If they have read it once, reading it two or three more times should deepen their understanding. I have tried various learning methods and would like people with many learning methods to try the first theme: "inputting with difficult words and outputting with easy words." I think there are

many advanced learners who can read textbooks with difficult words. When reading difficult texts, they probably aim to understand everything from beginning to end, and have a complete understanding by the time they finish reading. Trying to

understand everything from beginning to end and read through the contents of a difficult textbook is inefficient in itself. Even with difficult textbooks on subjects I am learning for the first time, I make the reckless challenge of trying to understand everything the first time I read them.

In addition, I am not the type of person who will read a single textbook for days or weeks until it is finished, so after reading the first 30 pages I get bored and move on to another textbook.

I think Japanese textbooks are often difficult at the beginning. It's possible that the authors intentionally made the first part difficult out of enthusiasm, but if you can get through the first 100 pages, the remaining pages won't be so difficult.

Of course, one reason for this is that you build up a tolerance by reading the first 100 pages, but even if there are a lot of difficult differential and integral calculus formulas at the beginning, the calculations often become simpler, involving addition and multiplication, as you get further into the book.

This article is approaching 2000 characters, so let's wrap things up. In Japanese textbooks, the first 100 pages are written in a difficult style. This shouldn't be the case with English textbooks from overseas, but overseas textbooks are thick.

Of course, one reason for this is that 100 pages of text in Japanese might translate to around 250 pages in English.

As information that can be used all over the world, I would say that you should start by challenging yourself with the most difficult textbook, just like you would challenge yourself with the most difficult game. Because if you can get through the most difficult textbook after several months, the rest of the books will all be easier.

Furthermore, I recommend summarizing the content of that difficult textbook in your own words, expressing it in simple terms, and posting it on social media. Ultimately, being unable to express difficult content in any other way than in a difficult way is one of the characteristics of a lack of deep understanding.

I believe that by breaking down difficult texts and rephrasing them in simple terms, one can get closer to a complete understanding of the subject. In the end, if you try to understand difficult content in a difficult way, it will be difficult to make progress in understanding.

By taking the extra step of changing difficult words into simple words, you can think in simple terms, which helps you to see the essence of the matter.

Book 32. Ways to make money from a blog include advertising revenue, tips (donations), merchandise sales (e-books), and selling the blog itself to companies, etc.

Hello. This is β (Beta). Today's topic is about ebooks. Ebooks are digital textbooks, and I'm thinking of selling these ebooks for 100 yen each.

Because it's digital, there are no stamp duty costs, and you can sell it in large quantities without incurring additional costs. The reason why ebooks are good is that there's no need to print and distribute them on paper, saving you money. Of course, there are no shipping costs either. And no labor costs either.

I think this is a huge advantage. Because books that would cost 1,000 or 2,000 yen as physical books can be sold at a cheap price of essentially 100 yen as ebooks. Of course, you have to pay a commission to the platform that sells the ebooks, but even that commission is only 20% or 30%, so you can still sell them at an affordable price.

The reason I'm selling an ebook for 100 yen is because I'm free to set the price, and that's the price I want to sell it for. I also plan to use the internet to gather a lot of information about ebooks in the future, so I'd like to post about that on my blog as well.

I've been running this blog for about two years now. This blog is primarily a research blog. As part of that, I'd like to share useful information such as life lessons and know-how.

The only thing I can say is that I would like to include ebooks as part of my revenue, but once I make a certain amount of profit, I would like to donate the rest to charity. Ebooks are one of the things I would like to try, but since I have always read physical books, I would like to buy a device like Amazon's Kindle that allows me to read ebooks in the future.

Regarding ebooks, I'd like to share various things, from activity reports to know-how. In reality, I think earning the first revenue is the most difficult part. I started blogging seriously in 2017, so I've enjoyed it quite a bit over the past nine years, up to the present day in 2026.

During those nine years, there was a five-year gap where I took a break from writing blog posts. Ultimately, I think there are several ways to make money from blogging, such as advertising revenue, donations, merchandise sales (e-books), and selling the blog itself to companies.

I plan to monetize my blog using Amazon affiliate programs. I will be selling ebooks based on this blog. Ultimately, after 10 years of blogging, I've realized that it's difficult to achieve significant revenue without continuing a blog for about 10 years. I suppose skilled bloggers can start earning money from their first year.

Although it's been a grueling nine years, I've gained invaluable experience. There's a Chinese proverb that says, "If you learn to fish, you'll be happy for life." I intend to continue writing, like this blog, for the next five, ten years, and beyond, as long as my life continues.

That's all. Thank you for listening. This is β. See you again.

Book 31. In proof by contradiction that √2 is an irrational number, if √2 were a rational number, then that rational number would be uk/2t²

 Hello. This is β (Beta). This time, I'd like to write about proof by contradiction. I'll be quoting from "Proving the world's most beautiful mathematical formula, e^(iπ)=-1".

"√2 is not an irrational number."

√2 = m/n ...① (m and n have no common divisors other than 1). Multiply both sides by n and square.

2n² = m² ...②. m² is a multiple of 2. If m is not a multiple of 2, then m² cannot be a multiple of 2.

m is a multiple of 2.

m = 2k (where k is an integer) ...③. Substitute this into ②.

2n² = 4k². n² = 2k², and n² is a multiple of 2.

n is also a multiple of 2...④. From ③ and ④.

m and n have 2 as a common divisor. This contradicts statement ①.

√2 is an irrational number. (Quoted from the above book)

From here on, these are my ideas. In conclusion, the point that m and n have no common divisors other than 1 is that m and n are relatively prime, that is, m and n are prime numbers or relatively prime composite numbers. In other words, from here on, we will consider cases other than when m and n are prime numbers or other cases where they have no common divisors other than 1.

Furthermore, if √2 can be a rational number, then √2 = (uk)/(2t²). In other words, if √2 can be a rational number, then √2 = composite number / (2 x squared expression).

The assumption that m and n have no common divisors other than 1 is based on the assumption that m and n are prime numbers, isn't it? Now, if we replace n and m with N and M, and set N=n/t and M=m/u, then by proof by contradiction we can see that √2=(uk)/(2t²) is a rational number equal to √2.

The equation √2=m/n assumes that both the numerator and denominator are prime numbers. However, if √2 is a rational number, then we can see that uk is a composite number and 2t² is a squared expression. The method for finding √2=(uk)/(2t²) will be explained in detail later. (Life Lessons).

Find the value of √2 as a continued fraction close to (uk)/(2t²). (Visual confirmation)

page 7!!The secret to consistent success is a deep love for practice!? We want to do what we have a natural talent for and what we absolutely love

Hello. This is Ten Watanabe. Today's theme is "The secret to consistently winning is that you absolutely love practicing." Consistently winning. Hmm. I think there are two patterns to the word "win." The so-called founding and maintaining.

First, you need to start by aiming to be number one. Anyone who aspires to be number one starts out as a beginner. Isn't it common for people entering any industry to begin with menial tasks as a kind of apprenticeship?

In general society, whether at school or at work, senior colleagues will teach you a lot at first. They should explain the bare minimum necessary things once you enter that industry.

I believe that what I learned from my seniors is also important. They patiently taught me the traditions that have been passed down for a long time, and by faithfully following them, a certain level of quality can be ensured.

I recommend imitating the most skilled senior you encounter. If that senior is kind, they will likely teach you the secrets to being the best in detail. Don't jump to conclusions and assume they won't tell you such important things right away; the quickest way to learn is to ask them repeatedly, humbly but not persistently.

If you meticulously imitate the teachings of your most senior colleague, you will eventually be able to achieve results and may even become the top player in that industry.

At that point, instead of becoming complacent and thinking "it's all good now that I'm number one," it's important to accept that the founding phase is over. Becoming number one means you've founded your business, that is, you've launched your own brand.

People passing by will praise you when they realize you're number one. Being showered with praise like that might make you think you're already number one without even trying. However, once you've achieved being number one—that is, founding your business—the next step is maintaining it.

You often hear about title defenses in boxing and other sports. When you become the best among a group of people in a certain weight class, you then have to maintain that top position. Defending a title means successfully holding onto the title of being the best among the people in that designated weight class.

Which is more difficult, starting a business or maintaining it? Which is more important, becoming number one or maintaining the number one position? I believe that the reason why people who become number one can't maintain it is because they are too complacent with themselves.

Those who endure rigorous and grueling training, restrict their diets, refrain from leisure activities, and maintain a serious and stoic attitude, can sometimes gain unimaginable wealth and fame by becoming number one.

Therefore, some people use that money and prestige to neglect their rigorous training and start having fun. No one, being human, can endure training without a clear goal. After achieving the goal of becoming number one, many people lose sight of their next goal and instead pursue whatever they want.

If you continue training with the same stoicism you used when you were number one, you're unlikely to lose your top position. However, not many people strive to maintain their number one position. In other words, even if you become number one, if you become complacent, you won't be able to maintain it and will lose to those who are working hard to become number one.

At the top level, there's probably not much difference between the first and second place finishers in terms of physical and intellectual abilities. Therefore, a slight difference in practice time can be the deciding factor. However, those who have approached practice as a chore will find it difficult to maintain their position even after reaching the top, as they will have to continue that grueling training indefinitely.

Of course, some people who aim to be number one absolutely love practicing. When you're doing something you love, practicing after becoming number one isn't a chore; you'll proactively and voluntarily engage in training.

I believe the difference between someone who ends up being number one and someone who can stay number one is whether or not they enjoy practicing. In the end, the simple answer is that you can't beat someone who is doing what they love.

No matter how much you practice or how long you practice, you can never beat someone who enjoys the process and doesn't see the effort as hard work, because they are always the one who actively dedicates time to it.

You could say that's just his natural talent, but no one can beat someone who is having so much fun. It might take time for someone who is having so much fun to beat someone who practices hard for long hours, but once they become number one, they can just continue practicing with the same enjoyment as always, and that's what makes them strong.

Those who believe that professionals must practice even when it's not fun lack a certain perspective: they cannot compete with professionals who have never once felt that practicing was not fun.

Ultimately, the best story about starting and maintaining a business is about wholeheartedly enjoying what you love to the fullest throughout your life. Even if someone becomes a professional because they're better at it than others, even if they don't particularly love it, they can't compete with a passionate enthusiast who finds it incredibly enjoyable. The professional world is teeming with talented enthusiasts.

If we want to be number one, we first do something we have a knack for. If we want to maintain that number one position after becoming number one, we do something that we have a knack for and that we absolutely love. Perhaps the secret to founding and maintaining a business lies here. I hope you find something you can dedicate your life to and that you absolutely love. That's all. Thank you. Ten Watanabe.

Book 30. A 20x giver! If you consistently split the bill in roughly a 5:95 ratio, you'll be welcomed wherever you go

Hello. This is Beta from the R86plusA blog. I'm interested in the distribution system that exists in human society. In human society, the share is often taken by the organizer, the person who hosted the event.

I know people who split the bill in a way that's close to a 5:5 or 4:6 split. The important thing is that when you split the bill, it feels fair. If it's 8:2 or 9:1, dissatisfaction will naturally arise. No matter how excellent a company is, I believe that companies that hoard profits and don't distribute them to many people will decline.

I believe splitting the bill is fair. This is because it allows the other party in a transaction to know that they are on equal footing. However, even when we say "equal," I think it's often asymmetrical. In other words, instead of playing the same role and doing the same amount of work, each person has a role to play—this person contributes labor, this person contributes money, and so on. In a cooperative relationship, each person naturally brings out their own strengths.

Lately, I've been reading a book called "Lectures on Celestial Mechanics" by C.L. Siegel, J.K. Moser, et al. If we were to read this book collaboratively, we would need to assign specific pages and sections to each person and fulfill our respective roles. One person might cover the first 50 pages, and another the 50th to 100th pages, but there are many other ways we could cooperate. We could teach each other the parts we understand, and the possibilities are endless.

The lectures on celestial mechanics are a book I find incomprehensible, but they begin by describing a special method of differentiation called the Lagrange multiplier method. Many people may get stuck at that point, so if I have the opportunity, I would like to help everyone by explaining the Lagrange multiplier method.

I'm also a bit of an unusual person, studying quantum mechanics and celestial mechanics, but with a little ingenuity, even books that seem difficult to me can be read. Since we were talking about splitting the bill, I'd like to give you a small gift.

When reading, imagining drawing diagonal lines between words makes it easier to understand. It's surprising how much easier it becomes to read just by quickly drawing diagonal lines between words. I know that celestial mechanics is one of the most difficult subjects in academics, so I remember being very happy when I came up with this slash reading method.

It makes me happy to see people move on to the next stage of their lives with their inherent optimism and determination, and I remember feeling that same sensation when I read using this slash reading technique. I believe that by learning about slash reading, you too can take a step towards the next stage with your own inherent optimism and determination.

Now, regarding the shares, I think 5:95 is not bad. 5:95 means giving almost 20 times your share. In other words, you are a 20x giver, and in this case, since I didn't receive anything from the readers for teaching slash reading, I think I achieved a 20x gift by teaching them about slash reading.

I don't need anything in return. All I'd really appreciate is a simple click on an ad I put on my blog. After all, I believe gifts are very important in human society. When you receive a lot of things, people are watching to see if you can generously share them with others.

I'm the type of person who gives presents, and I don't receive many, but I know how happy it makes me when I do. In fact, I often give material gifts, like sweets, and the recipients often show their thoughtfulness and consideration through their gifts.

While I'm currently offering slash reading as a gift, even just celestial mechanics is an extremely complex subject, and I think mastering it is incredibly difficult.

Furthermore, if I were to offer a gift to my readers, I would like to include an article explaining how to solve problems using the Lagrange multiplier method, specifically this special method for solving differential equations, if you purchase this book on celestial mechanics and study with me.

Ultimately, society is a reciprocal, gift-giving society. Even considering employment alone, being employed by a company can be seen as a cooperative relationship between someone who gives their labor as a gift and someone who gives their salary as a gift.

I am writing this article on April 14, 2026. The number 14 is very important to me. I won't go into personal reasons, but I believe it is a number related to God. As God's number. However, I am very glad that I was able to write about the subject of celestial mechanics lectures, which is a mysterious area for me, on this day, the 14th.

The next installment of this article will be an explanation of the Lagrange multiplier method, a truly essential technique. That's all for now.

If you consistently split the bill in roughly a 5:95 ratio, you'll be welcomed wherever you go. Don't think of it as a one-time cooperative act, but rather as a cooperative act that happens dozens or even hundreds of times. Even if your share is 5%, you'll have the opportunity to earn dozens or even hundreds of times that amount. More than that, I believe you'll be valued and treated with great respect by your friends.

That's all. Today, I taught you about slash reading. I don't want to sound condescending, so I'll stop here. Thank you for listening. This was β. See you next time. α.