samba

https://flykof.pixnet.net/blog/post/23028119

ubuntu fuji xeorx printer

https://gitlab.com/josebagar/xerox_workcentre_7120

linux pdf reader

Free pdf reader that supports taking notes (and bookmarks)

https://askubuntu.com/questions/230629/free-pdf-reader-that-supports-taking-notes-and-bookmarks

algebra book

http://www.math.ntu.edu.tw/algebra

amazon
https://www.amazon.com/Abstract-Algebra-Applications-Thomas-Judson/dp/0989897591

http://abstract.ups.edu/

http://abstract.ups.edu/aata/aata.html

group theory

Simon R. Blackburn
Combinatorics  cryptography information theory group theory

https://scholar.google.co.uk/citations?user=PeQIxyoAAAAJ&hl=en


Peter Neumann
Stanford University
Verified email at stanford.edu
neural plasticityensemblesaddictioncircuits
https://scholar.google.com/citations?user=mHNWKY4AAAAJ&hl=en


Peter M. Neumann
https://scholar.google.com/scholar?q=%5B7%5D+Peter+M.+Neumann+D.+Phil.+Thesis+University+of+Oxford+1966


https://www.javatpoint.com/discrete-mathematics-normal-subgroup

師大 陳華介教授
http://math.ntnu.edu.tw/~li/algebra-html/node13.html
http://math.ntnu.edu.tw/~li/algebra-html/algebra.pdf

http://www2.chsh.chc.edu.tw/bee/108algebra/1080303.pdf

https://hackmd.io/@0xff07/ryQE2n3SI
https://hackmd.io/@0xff07/BJWaeWArL/https%3A%2F%2Fhackmd.io%2F%400xff07%2FByT4ldAS8

Sage
http://doc.sagemath.org/html/en/thematic_tutorials/group_theory.html#normal-subgroups

https://math.berkeley.edu/~apaulin/AbstractAlgebra.pdf

https://www.macs.hw.ac.uk/~jim/F13YR1/Notes.pdf

https://books.google.com.tw/books?id=4PWKDwAAQBAJ&pg=PA67&lpg=PA67&dq=normal+group+tutorial&source=bl&ots=T6sZfVNDyN&sig=ACfU3U3lTyA62FyKuvRxlEOjPSDDG9hRrA&hl=zh-TW&sa=X&ved=2ahUKEwjTgqD3gIfpAhU2yYsBHWKnD2sQ6AEwGHoECAwQAQ#v=onepage&q=normal%20group%20tutorial&f=false

https://www.jmilne.org/math/CourseNotes/GT.pdf

https://nathancarter.github.io/group-explorer/help/rf-groupterms/#simple-group

GAP
https://www.gap-system.org/Manuals/doc/tut/manual.pdf

ergodic

https://scholar.google.com/scholar?cites=13736805730593898338&as_sdt=2005&sciodt=0,5&hl=zh-TW

Computations in Number Theory Using Python

https://www.math.utah.edu/~carlson/notes/python.pdf

https://www.w3resource.com/python-exercises/math/

https://www.geeksforgeeks.org/print-all-prime-factors-of-a-given-number/

https://www.youtube.com/watch?v=2p3kwF04xcA

韓信點兵
https://medium.com/@fangya.123/chinese-remainder-theorem-with-python-a483de81fbb8

Fermat's last theorem algorithm in Python

computing physics

https://dhdpla.physics.ucsd.edu/

geogebra 函數與微積分

https://wiki.geogebra.org/s/zh/index.php?title=%E5%87%BD%E6%95%B8%E8%88%87%E5%BE%AE%E7%A9%8D%E5%88%86_%E6%8C%87%E4%BB%A4&variant=zh-tw

微分應用

數c IV 13 回 (3-4 微分應用) 109.4.21

3.2

f(x):=-x^2+6*x-8; has max or min?

g:diff(f(x));

solve(g);

4. f(x):=3*x-x^3; has max , min=?

g:diff(f(x));

solve(g);

f(1);

f(-1);

calculate

1. f(x)=3+4*x-x^2, 圖形, 遞增 遞減的區域

f(x):=3+4*x-x^2;

g:diff(f(x));

solve(g);

2. x+y=30, solve (xy)max=?

x,x-30

f(x):=x(x-30);

g:diff(f(x));

solve(g);

3.f(x)=2x^3+ax^2+bx+25 ,x=-3,x=2 has 

related extreme value, solve a,b=?

f(x):=2*x^3+a*x^2+b*x+25;

g:diff(f(x),x);

4. f(x)=5x^2+4x+1,x=a has fmin=b, solve 

a,b=?

分式

分式 4/21

使用geogebra 繪圖,觀察其變化
x
1/x (x的倒數, 反曲線)

x-1 (left shift 1) 左移1單位
1/(x-1)

x+1(right shift 1)右移1單位
1/(x+1)

x^2(拋物線)
1/x^2

(x-1)^2
1/(x-1)^2

(x+1)^2
1/(x+1)^2

x^2-2x+2 (常數項2 是y截距)
x^2+2x+2 (常數項2 是y截距)

ax^2+bx+c
ab<0 (右異)
ab>0 (左同)

頂點(-b/2a,(4ac-b^2)/4a)

1/(x^2+2x+2)

f(x)=x+1
g(x)=2x+1

f(x)+g(x)
f(x)-g(x)
f(x)g(x)
f(x)/g(x)
1/f(x)+1/g(x)

5x/(x^2-x-6)

max-min

https://www.mathsisfun.com/calculus/maxima-minima.html


maxima code

 http://maxima.sourceforge.net/docs/manual/maxima_18.html

geogebra differential

http://www.malinc.se/math/geogebra/coordinatesen.php

tensorflow

tensorflow.org
https://www.tensorflow.org/tutorials/keras/classification?hl=zh-cn

假設檢定

Probability and Statistics - 假設檢定：基本流程總整理 Process of Hypothesis Testing Statistics

https://mropengate.blogspot.com/2015/03/hypothesis-testing-p-value.html 

https://web.ntpu.edu.tw/~stou/class/ntpu/CH11-Keller-in-Chinese-2011.pdf

 http://www3.nccu.edu.tw/~tsaich/EastAsian/Week10_05062015.pdf

 http://ctld.nthu.edu.tw/bookclub/blog/?update_id=332

 

統計學:大家都喜歡問的系列-p值是什麼 

https://medium.com/@chih.sheng.huang821/%E7%B5%B1%E8%A8%88%E5%AD%B8-%E5%A4%A7%E5%AE%B6%E9%83%BD%E5%96%9C%E6%AD%A1%E5%95%8F%E7%9A%84%E7%B3%BB%E5%88%97-p%E5%80%BC%E6%98%AF%E4%BB%80%E9%BA%BC-2c03dbe8fddf

 

 

 

翻譯助手

CNKI
http://dict.cnki.net/h_1887382000.html

mendeley

Read, search and annotate your documents
https://www.mendeley.com/guides/desktop/04-read-highlight-annotate?dgcid=Mendeley_Desktop_Onboarding-Help-Cite

Stochastic

https://ipython-books.github.io/131-simulating-a-discrete-time-markov-chain/

IPython Cookbook, Second Edition (2018)

IPython Interactive Computing and Visualization Cookbook, Second Edition (2018), by Cyrille Rossant, contains over 100 hands-on recipes on high-performance numerical computing and data science in the Jupyter Notebook.

Most of the book is freely available on this website (CC-BY-NC-ND license).

Probability for Machine Learning Discover How To Harness Uncertainty With Python

https://machinelearningmastery.com/probability-for-machine-learning/

成績系統

光復商工 成績系統
http://stg.kfcivs.hlc.edu.tw/online/information.asp

geogebra 分段函數

https://www.geogebra.org/m/H5QnUxY5

分段函數 求limit x->x(A)+,x(A)-

f(x)=if[x>=x(A),sin(x),(3x)/(x^2+x+1)]
B=(x(A),(3 x(A))/(x(A)^2+x(A)+1))
C=(x(A),sin(x(A)))
Limit(f(x),x,x(A))
Limit(f(x),x,x(A)+0.1)  #x->x(A)+
Limit(f(x),x,x(A)-0.1)  #x->x(A)-
Limit(f(x),x,x(A)+0.01)
Limit(f(x),x,x(A)-0.01)

error in python IDLE

解决ModuleNotFoundError: No module named 'numpy.core._multiarray_umath' 错误

https://blog.csdn.net/weixin_41010198/article/details/86738635

pip install --upgrade numpy

python path in windows 10

http://www.weithenn.org/2018/05/python-journey-part01-install-python-on-windows10.html

使用系統管理者權限進行安裝，記得勾選「Add Python 3.6 to PATH」選項，如此一來便會在安裝程序中順便將 Python 環境寫入「環境變數」當中，稍後開啟命令提示字元便可以方便執行 python 相關指令。

多項式(polynomial)

https://study.com/academy/lesson/factoring-polynomials-in-quadratic-form-of-degree-4-or-higher.html