i!:{python3 -c "import math; print(math.sqrt(}
x*!:vVARIANCE | t.:
x!:{))"}
v:vCMD | z*:vCMD
j:lSDEVIATION_READY

l:lSDEVIATION_READY
v:vSDEVIATION


i!:{RANGE:} | x*!:vRANGE | x!:{ | MODE:} | x*!:vMODE | x!:{ | MEDIAN:} | x*!:vMEDIAN | x!:{ | MEAN:} | x*!:vMEAN | x!:{ | VARIANCE:} | x*!:vVARIANCE | x!:{ | STANDARD DEVIATION:} | x*!:vSDEVIATION | x!:{ | MODAL SEQUENCE:} | x*!: vMSS   
v:vANALYSIS_RESULT

#what did we do?
v:vANALYSIS_MSG:{Finished summarizing the data using measures and statistics.}
j:lDONE_PROCESSING #goto present results...


#----| perform numerical/predictive analysis |---
l:lPROCESS_ANALYSIS_PRED

y:vDATA
v:vSEQUENCE #stash comma-del sequence

#===| compute probabilistic extrapolation...|
# in our list extrapolation methods here, we are going to
#assume the dataset conforms to a normal distribution
#and so we shall do basic probabilistic prediction of
#the next value past the end of the dataset given 
#the nature of the sample (its mean and standard deviation)
y:vSEQUENCE | d:^,:,$ | x:[ | x!:] | v:vARRAY_SEQUENCE

y:vPLATFORM
f:WEB:lWEB_PREDICTION:lCLI_PREDICTION
l:lWEB_PREDICTION 
y:vARRAY_SEQUENCE
v:vCMD:{const nextProbable = arr => {
  let m = arr.reduce((a, b) => a + b, 0) / arr.length;
  let s = Math.sqrt(arr.reduce((a, x) => a + (x - m) ** 2, 0) / arr.length);
  return m + s * (Math.random() * 2 - 1);
};nextProbable(JSON.parse(AI));}
z*!:vCMD
j:lPREDICTION_READY

l:lCLI_PREDICTION 
i!:{python3 -c "import json, random, math; AI='}
x*!:vARRAY_SEQUENCE
x!:{'; a=json.loads(AI); m=sum(a)/len(a); s=math.sqrt(sum((x-m)**2 for x in a)/len(a)); print(m + s * (random.random()*2 - 1))"}
v:vCMD | z*:vCMD
j:lPREDICTION_READY

l:lPREDICTION_READY
v:vPREDICTION

i!:{Assuming Normal Distribution, NEXT value past end of dataset: } | x*!:vPREDICTION |
v:vANALYSIS_RESULT

#what did we do?
v:vANALYSIS_MSG:{Finished extrapolating the data.}

l:lDONE_PROCESSING
#present results...
y:vANALYSIS_RESULT |  x*!:vHHLINE | x!:{The DATA:} |  x*!:vHHLINE |
x*!:vDATA_CLEAN | x*:vHHLINE | x:{The DATA ANALYSIS:} |x*!:vHHLINE | x*!:vANALYSIS_MSG | v:vPROMPT | v:vRESULT | i*: | j:lPROMPT_FOR_DATA #not yet finished ;)

################################
#Finally, Quit, gracefully...
################################
l:lQUIT
y:vRESULT

#statisticalanalysis #statistics #calculator #graphing #forecasting @bclectures #nuchweziresearch #thephds

Perhaps End of Year Blackboard Adventures... Came from the Community itself! 🤭

Please watch, and react. This is an interesting evidence there's been some serious attentive students all along.✓

Best regards from J. Willrich Lutalo Cwa Mukama Rwemera Weira and the band of U curious netizens ✨✨

Merry #Christmas and enjoy memorable, transformative holidays!

i!:{#nuchweziresearch}|d:{#}|h:re

As final, last and important Xmas trivia... Perhaps also a lesson in history concerning Christmas and especially the date 25 DECEMBER; it shall be surprising to some (especially none believers), that one of science and mathematics' greatest minds of all time, Sir Isaac Newton, was actually born on Christmas day! 🙌😆🤣🙏🎉🍾 I discovered this while reading a classic book on The Calculus earlier today. However, also find the details below...


🧠 Isaac Newton was born on:

📅 4 January 1643 (Gregorian calendar)
🎄 25 December 1642 (Julian calendar, used in England at the time)


🗓️ Why Two Dates?

England used the Julian calendar until 1752. When the Gregorian calendar was adopted, dates shifted forward by 11 days. So:

- Newton’s birth was recorded as 25 December 1642 (Julian)
- But in modern terms, we recognize it as 4 January 1643 (Gregorian)

---

📚 REFERENCE:
1. Wikipedia – Isaac Newton : https://en.wikipedia.org/wiki/Isaac_Newton

That's all dear netizens! See u in 2026!

👋😉🎄🍃⚡🥳🎁✨✨

Today we have advanced TEA programming by such a great deal!

With version 3 of the Statistical Analysis Tool, we are able to...

1. This tool works well on WEB and Commandline.
2. Shall help you summarize your data visually.
3. Shall help you analyze the data via standard statistics.
4. Shall help you extrapolate/predict beyond your data.

And so that, with an example dataset such as...

2, 4, 8, 16

And selecting the predictive analysis method 3 (non-linear regression), our TEA program can then produce the following results..

The DATA ANALYSIS:
====================
Computed Non-Linear Model: y = 0.3333*t^3 + -1.0000*t^2 + 2.6667*t + 0.0000
The predicted value at t = 5 is 30.00, and so that, with a value of r2 = 1.0000, this model explains ~100% of the data.
====================
The DATA:
====================
2,4,8,16
====================
Finished extrapolating the data.

That's soo incredible! The natural next value should have been 32 (2^5). But that's not all.. we can also use linear regression where it makes sense..

The DATA ANALYSIS:
====================
Computed Linear Model: y = 4.6t + -4 
The NEXT value at t=5 is 19
The R2 (coefficient of determination) 0.92 means this model explains only ~92% of the data.
====================
The DATA:
====================
2,4,8,16
====================
Finished extrapolating the data.

And if we test it on predicting tricky sequences such as the Fibonacci Numbers, yes, it does perform quite impressively!!

The DATA ANALYSIS:
====================
Computed Non-Linear Model: y = 0.0833*t^3 + -0.3929*t^2 + 1.5238*t + -0.2000
The predicted value at t = 6 is 12.80, and so that, with a value of r2 = 0.9995, this model explains ~100% of the data.
====================
The DATA:
====================
1,2,3,5,8
====================
Finished extrapolating the data.

🥳⚡🍃🙌😆 Go checkout out the SAT program as part of the standard TEA programs via https://tea.nuchwezi.com

OR directly load and study or modify it via:

http://bit.ly/teasatapp

🎁🍩🔥🔥😭👋🥰🤭☕💚🙌

Found an interesting historical video about one of the people that made today's tech tools we enjoy possible...

Richard Stallman at the First Hackers Conference in 1984 [video]

Read more | Comments | @hackernws

With TEA v1.2.9 a new standard application example has been made available... It's called RU: RANKING UTILITY. And its core Use-Case is to help rank or sort numeric datasets by some user specified criteria.

An example of what it can accomplish can be gleaned from the following example output:

----------***----------
ORIGINAL DATA:
w:66,g:9,t:0.6,s:5e4
----------***----------
RU Processing Results:
----------***----------
DESC-SORTED and POSITIONIFIED LABELLED-DATA: 
1st=s:5e4, 2nd=w:66, 3rd=g:9, 4th=t:0.6

Another example...

----------***----------
ORIGINAL DATA:
E:45,A:3.2121,LABEL_1:1,C:-5,88:5,TEST_ty:2,A:5
----------***----------
RU Processing Results:
----------***----------
DESC-SORTED LABELLED-DATA: 
E:45, 88:5, A:5, A:3.2121, TEST_ty:2, LABEL_1:1, C:-5

#dataprocessing #numericalprocessing #sorting #ranking #scoring #basicutilities #teaprogramming

TEA v1.3.0 introduced an important fix to the implementation of the P!: command space, and with that, also introduces a great example application for the use of RSG (Random Sequence Generators).

The special case covered deals with so-called Vowel Hymns, concerning which, we now have a complete generic TEA application for the generation of short but compelling ones such as we can see in the examples...

uu i aoua
eia e i ei
ooiaaaiuii
uaeo ouauu
euuai eae
oiooiuai a

or...

aoaiu ieia
aiioaooia 
uio iiaoi
aeu oi oa
iaeo aiiuu
eia ooi oe

And the TEA program behind these is as..

#############################################
# RANDOM VOWEL HYMN GENERATOR v1
#############################################
# Though legit vowel hymns ought be generated
# based on transforming the text of legit hymns
# or words, this generator instead generates 
#such hymns based on nothing really, but the
# outputs shall read and feel like legitimate
#vowel hymns nonetheless.
#-------------------------------------------
# For Theory: https://bit.ly/grimoirelumtauto
# For Example: https://www.youtube.com/watch?v=p_THWo4MjIU
##############################################
v:vLINES:5 | v:vI:0 | v:vHYMN:{}
v:vLIMIT:10 | v:vGLUE:{ } | v:vALPHABET:{aeiou }
l:LOOP
p*!:vLIMIT:vGLUE:vALPHABET | v:vLINE #generate and store random string
g*:{
}:vHYMN:vLINE | v:vHYMN #add it to the hymn
y:vI | x!:{+1} | r.: | v:vI 
y:vI | x!:{>} | x*!:vLINES | r.: | f:^true$:FIN:LOOP #test if we must finish
l:FIN | y:vHYMN | k!:^$ #return clean hymn

#teaprogramming #basicutilities #code #vowelhymns

▐▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
▐ UGANDA Internet Community
▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀
Highlights & Review of 2025
▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐▐
ABOUT THIS YEAR REVIEW:

+ REVIEW DATE: 31 DEC 2025
+ REVIEWER: H.B. Joseph Willrich Lutalo C.M.R.W. (Founder and President Internet Party, UIC, Nuchwezi Research)

#reports #reviews #internetparty #ugandainternetcommunity #uic #proceedings #yearreview

🇺🇬✨🙌 Happy New Year Everybody!!!

Yes... We are finally in 2026! And sure.. take your seats students, readers, researchers and writers.. except those that must do the talking and teaching.. for those.. please stand up!! Time to usher in the future...

Welcome to Blackboard Computing Adventures 2026

TEA RESEARCH UPDATES Relevant for ACTIVE TEA users: introducing Personality Calculator technology v3

A TEA standard program that can allow anyone to use just the birth date of someone or their friend to find out about that person's underlying psychological profile and character has been published today. The program is known as PC (Personality Calculator) and now at v3, can be accessed and tested via: https://bit.ly/personalityapp

OR via the standard programs list at https://tea.nuchwezi.com.

It is based on theory and mathematics that are both ancient and modern respectively (Gary Goldschneider et al., 1994). This is a great utility for researchers and hobbyists in psychology. An example profile it can generate would look just like this:

Born on 25th DEC (WINTER)
~~~~~~~~~~~~|~~~~~~~~~~~~
SIGNS: Capricorn, Aquarius, Pisces
RULERS: Saturn, Uranus, Neptune
SYMBOLS: Goat, Water Bearer, Fish
ELEMENTS: Earth, Air, Water
MOTTOS: I Matter, I Universalize, I Believe
DOMINANT FACULTY: Thought
~~~~~~~~~~~~|~~~~~~~~~~~~
More concerned with larger picture of life. Often rulers and dominant. Often the most flexible, sensitive, accepting, and spiritual. Typically quiet, mostly expressing themselves through their work and ideas. Readily distinguished by their active imagination and fantasies. Can objectify fantasies and imaginations. Very idealistic and utopian.
~~~[CREDIT: PC v3@ tea.nuchwezi.com ]~~~

So, welcoming everyone to go TEST and yes, APPLY this interesting technology brought to you by #NuchweziResearch

TODAY, at TEA v1.3.2 we have introduced a standard program that will be delicious to especially teenagers and millennials!

SMS-TEXT-MINIFIER v3
#====================================
# SMS-TEXT MINIFIER v3
#----|what it is|-------------------
# A bsc TXT/SMS mnifyr
#====================================
v:vMSG | v:vMSG_ORIG

#----|THE CONSTANTS|-------------------
v:vDELIM:{
***********************
}

f!:^$:lPROCESS:lPROMPT
l:lPROMPT | 
i!:{Welcome to TEXT MINIFIER v3} | x*!:vDELIM 
x!:{Enter a text message that you want minified:}
i*: | f!:^$:lPROCESS:lPROMPT

l:lPROCESS
v:vMSG | v:vMSG_ORIG #store original message
z: #convert all text to lower-case first
t.: #truncate trailing white-space

#----|THE COMPRESSORS|-------------------
#first, eliminate redudancy
r!:a+:a|r!:b+:b|r!:c+:c|r!:d+:d|r!:e+:e|r!:f+:f|
r!:g+:g|r!:h+:h|r!:i+:i|r!:j+:j|r!:k+:k|r!:l+:l|
r!:m+:m|r!:n+:n|r!:o+:o|r!:p+:p|r!:q+:q|r!:r+:r|
r!:s+:s|r!:t+:t|r!:u+:u|r!:v+:v|r!:w+:w|r!:x+:x|
r!:y+:y|r!:z+:z|r!:\s+:{ }|r!:\.+:.|r!:,+:,
r!:\?+:?|r!:\!+:!|r!:{\:+}:{:}|r!:{;+}:;

#numbers in words with digits
r!:one:1|r!:two:2|r!:three:3|r!:four:4
r!:five:5|r!:six:6|r!:seven:7|r!:eight:8
r!:nine:9|r!:ten:10|r!:zero:0

#then perform smart/creative replacements...
r!:wh:w|r!:ing:in|r!:and:n
r!:{it is}:tis|r!:you:{u}|r!:the:d
r!:to:2|r!:for:4|r!:how:hw|r!:ed:d
r!:[ ]*are[ ]:{ r }|r!:why:y|r!:ou:u
r!:[ ]be[ ]:{ b }|r!:your:yo|r!:right:8t
r!:phone:4ne|r!:ike:yk|r!:day:dy|r!:now:nw
r!:can:cn|r!:be:b|r!:love:lv|r!:ight:8
# and more as time shall inspire...

#----|PRESENT|-------------------
v:vMSG #store final compressed version
#compute compression analytics...
y!:vMSG | v:vN_MSG
y!:vMSG_ORIG | v:vN_MSG_ORIG
v:vMEASURE_EXPR:{((I-O)/(1.0*I)) * 100}
v:vI:I | v:vO:O
r*!:vMEASURE_EXPR:vI:vN_MSG_ORIG | v:vMEASURE_RESULT
r*!:vMEASURE_RESULT:vO:vN_MSG | v:vMEASURE_RESULT
r*.:vMEASURE_RESULT | 
f!:\.:lNOTRUNC
d!:^.*\...
l:lNOTRUNC
v:vMEASURE_RESULT

#Present compressed message and analytics
i!:{ORIGINAL MESSAGE:} | x*!:vDELIM | x*!:vMSG_ORIG | x*!:vDELIM 
x!:{COMPRESSED [by } | x*!:vMEASURE_RESULT | x!:{%]:} | x*!:vDELIM 
x*!:vMSG | v:vFIN_MSG_WITH_ANALYTICS

i!:{TEXT MINIFIER: processing message is complete | Choose what to do:
[1] Return Final Message Only | [else] RESULTS + Analysis} | i*: | t.:
f:^1$:lNOANALYSIS

y:vFIN_MSG_WITH_ANALYTICS | q!: #show original msg+analysis+final message

l:lNOANALYSIS #only show final compressed message
y:vMSG

#standard #teaprograms #smsutilities #edutainment #sourcecode

introducin..

===[ SMS-TEXT MINIFIER ]===

This little TEA program, also accessible via the link:

https://bit.ly/text2minisms

Can help anyone transform their otherwise long, boring and costly text message into a short/brief, creative and succinct version that not only occupies less space, but also would be cheaper to send when text message are charged based on size or length such as in SMS.

Apart from generating the compressed final MSG, it can also display for you a comparison of both, together with analysis of how much it was able to compress your original message.

---[Example-1]

ORIGINAL MESSAGE:
***********************
this is the rhythm of the night
***********************
COMPRESSED [by 22.58%]:
***********************
this is d rhythm of d n8

---[Example-2]

ORIGINAL MESSAGE:
***********************
Hi there darling. What is the date you said you wish that we meet? I'll be in town till like Friday. Do let me know if we can meet on any of the evenings before then. Cheers! Love. ~ZEN
***********************
COMPRESSED [by 16.75%]:
***********************
hi dre darlin. wat is d date u said u wish that we met? i'l b in 2wn til lyk fridy. do let me knw if we cn met on any of d evenins b4e dn. chers! lv. ~zen