凱利公式喺高級賭徒的世界大名鼎鼎,咁到底咩係凱利公式呢?
先問你一個問題,如果你眼前有一個簡單 1 賠 1 嘅公平賭局, 而你可以重覆參與幾多次都得 ,你有$100,你會點賭?⚖️
如果你係冒險主義, 每一次都100%全押注All-in所有金錢,雖然贏嘅話次次都立即翻倍💰;但一輸就會立即變零,一無所有💸
如果你係保守主義,謹慎地每次下注$1,贏就賺$1 ,輸就蝕$1, 小朋友玩泥沙,咁嘥時間不如正正經經打份工好過😫
全押注太多,賺$1又太少,咁應該投入幾高比例呢? 作為高級賭徒,你一定要識凱利公式(Kelly Formula)📌
——————————————
🧮 凱利公式係一條可應用喺多次隨機賭博遊戲嘅公式,令到資金的期望值最高
🌟 f* =(bp-q)/ b 🌟
f* = 應投注的資本比值
p = 獲勝的概率(也就是拋硬幣正面的概率)
q = 失敗的概率,即 1 – p(也就是硬幣反面的概率)
b = 純利率(也就是一賠1的1)
公式上面的分子 bp-q 代表「贏面」
———————————————
例子:一局遊戲,贏的概率 p、輸的概率q 都為 0.5
贏就一賠1,所以純利率=1
👉(bp – q) / b = (1 * 0.5 – 0.5) / 1
👉= 0%
❗拿出資金的 0% 進行下注,已經能夠使賭局收益最大化。
⚖️ 即係話,原來就算賭局係公平嘅,根據數學都唔值得押注任何金錢。更何況,世界上大部分賭局都對玩家唔 fair 嘅,可想而之,連 fair 都唔值得賭,更何況係唔 fair 嘅呢? 大家有睇過賭 Sir 嘅 Youtube Channel 就知道喇,所以大家切勿沉迷賭博啊❗
———————————————
🎲賭Sir|高階數學考試專家
🎓21 項數學公開試.以一 Take 過考取完美戰績
DSE:Math+M1+M2【5**】
CE & AL:Math+A.Math+Pure+Applied【A】
IAL:C12+C34+F1+F2+F3+M1+M2+M3+S1+S2+S3+D1【A】
IGCSE:Mathematics+Further Pure Mathematics 【9】
🖥最高人氣補習網紅・貼地教數別樹一格
頻道 #杜氏數學 2016年創辦,訂閱65,000+,多條教學影片點擊100,000+;2018年獲出版社邀請,撰寫暢銷書《5**數學男人嫁得過》推廣「聰明應試」理念,並鼓勵年青人堅守自信。
🧠以心理學、高效學習融入補習教育當中
從中文大學風險管理學士畢業之後,鑽研超速學習法(Ultralearning)及教育心理學,將高效學方法先行用於自己身上,無間斷學習新知識;四年後重返校園,完成中文大學數學碩士(大數據分析)課程,期間考入門薩學會(Mensa),實證超速學習法。
🏆座右銘
好多人以為自己因為對數學無興趣,所以數學低分;事實剛好相反:因為自己數學低分,所以對數學無興趣。試諗下,若然你有歌神嘅聲線,你仲會對唱歌無興趣嗎?
------------
#健身 #健心 #健生 #健腦 #數學#DSE #dser #math #maths#afterschool #dsemath #examskills#mathtutor #followme #2022DSE#2023DSE #2024DSE #tutor#mathtutor #DSEfighter #tutotial
同時也有214部Youtube影片,追蹤數超過25萬的網紅森零,也在其Youtube影片中提到,光頭老師再次開課啦!! 但是我們似乎被一個變種蜘蛛給咬到了,獲得超能力?!! 沒想到我們的手居然可以射出蜘蛛網啦!! 把老師和全校人都黏在墻上!!! 然後老師為了反擊也取得了神器?!! 控制全校人當老師來對抗我一個?!! ▶每天都會有新影片! 歡迎大家訂閱我!!☛https://goo.gl/k5...
「in math中文」的推薦目錄:
- 關於in math中文 在 賭Sir(杜氏數學) Facebook 的最佳解答
- 關於in math中文 在 國立臺灣大學 National Taiwan University Facebook 的最佳解答
- 關於in math中文 在 賭Sir(杜氏數學) Facebook 的最讚貼文
- 關於in math中文 在 森零 Youtube 的最讚貼文
- 關於in math中文 在 森零 Youtube 的最讚貼文
- 關於in math中文 在 森零 Youtube 的最佳貼文
- 關於in math中文 在 (中文版) Add Math - Differentiation - Part 1 - YouTube 的評價
- 關於in math中文 在 [問卦] 高中有哪個科目是日常生活中用得到的嗎? - PTT 熱門 ... 的評價
in math中文 在 國立臺灣大學 National Taiwan University Facebook 的最佳解答
【國立臺灣大學109學年度畢業典禮 致詞代表 資訊工程學系韓哈斯】
Student Address, National Taiwan University Commencement 2021
International student Seth Austin Harding from Department of Computer Science and Information Engineering
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校長、教授、以及在螢幕前的各位同學,大家好。非常感謝臺大給我這個機會。我是韓哈斯,來自美國華盛頓特區。我會以自身的真實經驗出發,來跟大家分享臺大帶給我的收穫。
我當初為什麼選擇來台灣求學呢?我小時候非常喜歡看武打片,然後我十歲的時候去看了一部電影叫做「功夫熊貓」。這部電影成為了我最喜歡的電影,主角「阿波」的故事跟我的故事很像。我看完了之後就決定要開始學功夫,所以去了「美國武術學院」。那個時候我每天都聽旁邊的人講中文,到了高中我就決定開始學中文。當時我遇到了一位貴人,她是從台北到美國來教書的中文老師,她教的課是我當時最喜歡的課,我每天去她的教室跟好朋友練習。到了高中畢業時,我是全高中中文最好的非母語人士。同時,我第二喜歡的課程是電腦科學,那時候我是程式能力數一數二的學生。後來在成功錄取夢寐以求的學校:臺灣大學之後,我感到雀躍不已,因為我既可以繼續學習中文,也可以持續在世界頂尖的學府中,往電腦科學的方向精進自我。
不過老實說,當我回顧大一的時期,我也曾迷失自我。雖然我修了很多很多的中文課,但是我那時只聽得懂大概一半的課程內容。跟大家對美國人的印象不同,我其實很害羞,也很害怕舉手提問,我甚至不太敢參與社交,所以當時朋友也很少。我開始想家,也變得有一點憂鬱。那時籃球是我唯一的紓壓方式。
但更不幸的是,我在打籃球時弄傷了我的前十字韌帶,做了兩次手術,需要一年半才能恢復。許多的負面情緒壓得我喘不過氣。我被困在人生的低谷,不知如何是好。我覺得我的中文不夠好,我也被診斷出失眠跟ADHD,另外,美國高中的數學太簡單了,來這邊不夠用。種種壓力讓我足不出戶,找不到自己的人生方向。後來,我向臺大心輔中心以及我的心理醫師尋求協助,然後我也開始跟系上有更多互動。有一位教授叫徐宏民跟我說,"Never give up",雖然那時候我覺得這句話太過於簡化了我的問題,不過,在我仔細思考了一個禮拜之後,我下定決心,發誓不讓自己被這些事擊敗。我決定要克盡全力,認真做好每件事。這是我人生的轉捩點,我開始變得異常自律。當時廖世偉教授和洪士灝系主任帶我進入它們的研究室鑽研學術。這重燃了我對資訊工程的熱忱,提醒了我當初會愛上這個領域的原因。我開始研究人工智慧以及區塊鏈,也開始跟其他系上同學交朋友,一起成立臺大人工智慧應用社NTUAI。NTUAI現在是校內頗具規模的技術研究社團,致力於推廣人工智慧給任何對該領域有熱忱的學生。歡迎加入NTUAI,可以掃描我們的QR CODE。
最近,由於疫情的緣故,我已經一年半沒回美國了。但是沒關係,因為我已經找到了我第二個家。我很愛臺大,以及台灣的人事物。雖然我經歷了人生的低潮,但這裡的一切總是給我滿滿的祝福與協助。最後,我想送給大家「功夫熊貓」裡的一句台詞: "You just need to believe"。只要用樂觀的態度去面對困難,就有能力改變自己,甚至改變身旁所愛的人。就像阿波的父親說的,"心誠則靈,只要你相信,點石就能成金。根本沒有什麼秘笈。只有你。"謝謝大家。
.
==============================
.
President, professors, and classmates, I'm very honored to be here. Thank you to NTU for giving me this opportunity. My name's Seth Austin Harding, and I'm from the D.C. metropolitan area. I'm going to tell a real story that's personal but that's relatable and what I see as the real me.
What motivated and guided me to take my undergraduate studies in Taiwan? When I was very young, I really loved watching kung fu movies, and when I was 10 years old, I went to the theater to watch "Kung Fu Panda". This became my favorite movie as I felt like the story of the main character Po was one to which I could very much relate. After watching this movie, I decided that I wanted to start learning kung fu, so I went to the United States Wushu Academy. At the time, I began hearing Mandarin on a daily basis, so when I was in high school, I decided to begin formally studying Chinese. It ended up being my Chinese teacher from Taipei who was my favorite teacher who taught my favorite class, so I decided I'd hang out in the Chinese classroom every day and practice lots. By the time graduation came around, I had attained the highest proficiency in Chinese among any non-native speaker in my school. My second favorite class was computer science, and I ended up attaining among the best coding skills in my school. After getting accepted to the school of my dreams -- National Taiwan University -- I felt honored, humbled, and excited; I could now spend time at among the world's finest universities studying Chinese and at the same time advancing my knowledge of computer science.
But when I look back at my freshman year, to be honest with you, I didn't know what I was doing. Despite having taken very many Chinese classes, when I went to the NTU lectures, I understood only about half of what the teachers were saying. Contrary to most people's impressions of an American, I was actually too shy to raise my hand, to ask questions, or to even meet with teachers after class, so I had very few friends at the time. I started to become homesick and depressed. At that time, I found that basketball was the only way I knew of relieving my stress. However, while playing basketball, I had torn my ACL and it would take two surgeries and a year and a half in time to fully recover. At this point, I felt caught between a rock and a hard place. In fact, this was the lowest point of my life, and I didn't know what to do. I felt like my Chinese wasn't good enough, I had been diagnosed with insomnia and ADHD, and I felt like the math taught in America was too simple to allow for me to keep up with my classmates. I was under immense pressure, and at this time, I lost any sense of purpose or direction. Later on, I went to seek help from NTU counseling, from my psychiatrist, and from my department. I reached out to Professor Winston Hsu from CSIE, and he told me this: "Never give up"; it was such an oversimplified way to approach such a complex series of problems, I had thought. However, I pondered these words intensely for one week, and by the end of that week, I had made a firm decision. This would NOT be another example of me giving up. I decided to go all out, to work diligently and passionately on all tasks at hand. This was the turning point of my life; I started to discipline myself to a very high degree. At this time, I met my then-to-become advisors Professor Shih-Wei Liao and Professor Shih-Hao Hung and entered their labs to begin research. Finally, the passion that I had for computer science that I had previously held in high school was kindled again, and I was finally reminded why I loved this field. I began my research life in blockchain and AI, and at the time I entered the lab, I also began creating NTUAI. NTUAI is now a large and highly successful NTU club that is dedicated to the research and public understanding of AI. Welcome one and all to join us; please scan our QR code here.
For a year and a half I haven't returned to America because of covid. But not to worry; I have found my second home, away from home. I love it here in NTU and I cherish all of the things I've had the privilege to experience in Taiwan. I've gone through the most difficult of struggles in my life here, but I've also had the most fortunate and blessed of experiences. To conclude, I'd like to quote a line from "Kung Fu Panda": "You just need to believe". As long as you are willing to adopt an optimistic attitude in facing challenges and hardships, you may become a positive force in changing the lives of those around you as well as your own life. It all depends on how you view it; just like what Po's father says, "there is no secret ingredient. It's just you." Thank you, everyone.
詳見:
https://www.facebook.com/NTUCommencement/posts/2718185771805180
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#臺灣大學 #畢業典禮 #NTUCommencement2021 #學生致詞代表 #臺大資訊工程學系 #韓哈斯 #SethAustinHarding
in math中文 在 賭Sir(杜氏數學) Facebook 的最讚貼文
數時間睇落好似好易,但原來唔係個個都識!⏰
其實唔止 M1/M2 嘅同學,好多 Core 考生都唔識數時間,今次呢篇《M1解題王》人人啱睇 💁🏻♂️
⭐️重點:時間係line,瞬間係point,月係interval⭐️
題目用「t」表示 #開始後幾多個月 ,而唔係表示 #第幾個月 。例如「t = 1.234」即係開始後1.234個月,可以係小數,所以每個「t」嘅數值都係一個瞬間,即係一個point。
的確「0
我都知好煩,所以我畫出嚟🤫。 當然,答句要寫字,唔畀畫,咁點呢?我會寫✍🏻:
N decreases in the first three months, then increases in the next nine months.
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#M1解題王 會以題目 keyword 切入,同你極速 KO M1 題目;記住 Save 低個 post,方便你大考前攞出嚟溫🔥
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🎲賭Sir|高階數學考試專家
🎓21 項數學公開試.以一 Take 過考取完美戰績
DSE:Math+M1+M2【5**】
CE & AL:Math+A.Math+Pure+Applied【A】
IAL:C12+C34+F1+F2+F3+M1+M2+M3+S1+S2+S3+D1【A】
IGCSE:Mathematics+Further Pure Mathematics 【9】
🖥最高人氣補習網紅・貼地教數別樹一格
頻道 #杜氏數學 2016年創辦,訂閱65,000+,多條教學影片點擊100,000+;2018年獲出版社邀請,撰寫暢銷書《5**數學男人嫁得過》推廣「聰明應試」理念,並鼓勵年青人堅守自信。
🧠以心理學、高效學習融入補習教育當中
從中文大學風險管理學士畢業之後,鑽研超速學習法(Ultralearning)及教育心理學,將高效學方法先行用於自己身上,無間斷學習新知識;四年後重返校園,完成中文大學數學碩士(大數據分析)課程,期間考入門薩學會(Mensa),實證超速學習法。
🏆座右銘
好多人以為自己因為對數學無興趣,所以數學低分;事實剛好相反:因為自己數學低分,所以對數學無興趣。試諗下,若然你有歌神嘅聲線,你仲會對唱歌無興趣嗎?
------------
#數學 #DSE #dser #math #maths #afterschool #dsemath #examskills #mathtutor #followme #2021DSE #2022DSE #2023DSE #tutor #mathtutor #DSEfighter #tutotial
in math中文 在 森零 Youtube 的最讚貼文
光頭老師再次開課啦!! 但是我們似乎被一個變種蜘蛛給咬到了,獲得超能力?!!
沒想到我們的手居然可以射出蜘蛛網啦!! 把老師和全校人都黏在墻上!!!
然後老師為了反擊也取得了神器?!! 控制全校人當老師來對抗我一個?!!
▶每天都會有新影片! 歡迎大家訂閱我!!☛https://goo.gl/k5ySNC
▶最新精華播放清單☛https://goo.gl/H9z7cd
#恐怖遊戲 #光頭老師 #蜘蛛俠
包迪原版遊戲:https://mystman12.itch.io/baldis-basics
包迪Steam正式版本:https://store.steampowered.com/app/1275890/Baldis_Basics_Plus/
Baldi's Basics with Superpowers!模組鏈接:https://danveloper.itch.io/baldis-basics-with-superpowers
Everyone helps baldi!模組鏈接:https://michaeldoesgaming.itch.io/everyone-helps-baldi
Facebook☛https://www.facebook.com/Forest0
Twitter☛https://twitter.com/Forest_Zer0
業務諮詢 ▶ white10156@gmail.com
喜歡這部影片的話可以按個喜歡,並且幫我分享
想要看更多的話可以訂閱哦
有任何意見都可以在底下留言
我會努力下去的!!
BGM來源:https://dova-s.jp/
片尾曲:You 8 Me
in math中文 在 森零 Youtube 的最讚貼文
主角又再次回到光頭老師的學校上課啊,但是主角卻把老師給催眠了?!!
光頭老師只能夠聽從主角的命令!! 說走才能走,說鞭打才能鞭打,主角是最大的!!!
並且主角還從其他遊戲借來強力武器?!! 不想回答數學就放火箭筒出來啊!!
▶每天都會有新影片! 歡迎大家訂閱我!!☛https://goo.gl/k5ySNC
▶最新精華播放清單☛https://goo.gl/H9z7cd
#恐怖遊戲 #光頭老師 #控制老師
包迪原版遊戲:https://mystman12.itch.io/baldis-basics
包迪Steam正式版本:https://store.steampowered.com/app/1275890/Baldis_Basics_Plus/
Baldi's Baisics But YOU CONTROLL THE BALDIS模組鏈接:https://rocketvolticyt-youtube.itch.io/baldis-baisics-but-you-controll-the-baldis
Baldis Basics Doom Mod模組鏈接:https://uprank.itch.io/baldis-basics-doom-mod
Facebook☛https://www.facebook.com/Forest0
Twitter☛https://twitter.com/Forest_Zer0
業務諮詢 ▶ white10156@gmail.com
喜歡這部影片的話可以按個喜歡,並且幫我分享
想要看更多的話可以訂閱哦
有任何意見都可以在底下留言
我會努力下去的!!
BGM來源:https://dova-s.jp/
片尾曲:You 8 Me
in math中文 在 森零 Youtube 的最佳貼文
為了教訓老師上次嘲笑學生,今天我必須到學校去好好的捉弄光頭老師啊!!
但是卻看到老師...居然騎在校長的頭上?!! 甚至還引發了水災,捉走我的朋友?!
因此我正式向光頭老師的學校發起挑戰!! 用數學挑戰全校所有師生!!!
▶每天都會有新影片! 歡迎大家訂閱我!!☛https://goo.gl/k5ySNC
▶最新精華播放清單☛https://goo.gl/H9z7cd
#恐怖遊戲 #光頭老師 #挑戰老師
包迪原版遊戲:https://mystman12.itch.io/baldis-basics
包迪Steam正式版本:https://store.steampowered.com/app/1275890/Baldis_Basics_Plus/
Principal Helps Baldi!模組鏈接:https://michaeldoesgaming.itch.io/principal-helps-baldi
Baldi's Flooding School模組鏈接:https://normal-person2-0.itch.io/baldis-flooding-school-in-trying-to-save-your-friend
Baldi's Mathin' Mondays!模組鏈接:https://johnsterspacegames.itch.io/baldis-mathin-mondays
Facebook☛https://www.facebook.com/Forest0
Twitter☛https://twitter.com/Forest_Zer0
業務諮詢 ▶ white10156@gmail.com
喜歡這部影片的話可以按個喜歡,並且幫我分享
想要看更多的話可以訂閱哦
有任何意見都可以在底下留言
我會努力下去的!!
BGM來源:https://dova-s.jp/
片尾曲:You 8 Me
in math中文 在 [問卦] 高中有哪個科目是日常生活中用得到的嗎? - PTT 熱門 ... 的推薦與評價
幾乎每年學測考完就會有新聞說今年數學爆難然後一堆人在下面留言說學數學要幹嘛誰日常生活中用得到三角函數學這個到底有什麼用只要會加減乘除就可以了吧然後我就在想說 ... ... <看更多>
in math中文 在 (中文版) Add Math - Differentiation - Part 1 - YouTube 的推薦與評價
( 中文 版) Add Math - Differentiation - Part 1. 36,985 views Aug 28, 2018 在这个video我会讲解关于基本的differentiation 以及所谓的chain rule。 ... <看更多>