We Can Learn Maths And Science

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26/08/2026

Given f(x)= 2x²-1 as the function describing the progress of learners understanding Mathematics at a school. In a more accurate form, suggest the derivative function in the Second order for use by an analytical Department to test results.

26/08/2026

Covalent Bonded Molecules can be polar.Exhibit charges. Electronegativity factor contributes to that phenomenal effect. For example H20 ( water Molecules) are polar molecules and this is why it allows the flow of electricity and some heat. Polarity is one factor to consider when choosing solvents in preparing reagents for experiments.

21/08/2026

To my friends

Average Learners as I am.
How much time are you giving up from the 24hours for Mathematics and Natural Science?

I have dedicated 6 hours of 24 hours towards studying daily,attached to this are punishments for failing to meet the target.

I implore you to give yourself too much study and research.

There is no magic to success in these disciplines, if you are to flourish then you must give in more of your time and resources,

Mathematics and Natural Science is asking you, How much are you ready to sacrifice?

Note: This is not for those who assume they have high IQ levels. It is for those my friends who can only succeed through rigorous study.

20/08/2026

Chemistry

Neutrons in the nucleus of the atom reduce the repulsion between protons. If the repulsion persists, the atom's nucleus disintegrates in order for it to gain stability. in the process energy is emitted. That energy is called Nuclear Energy and the branch of Chemistry concerned with that study is called Nuclear Chemistry.
Bombs and explosives technology relies on this Branch. Remember the famous Hiroshima and Nagasaki Nuclear History.
Nuclear CHEMISTRY is one of a kind, on the positive side, it can be used to contribute to the energy sector of this economy struggling with hydro power and yet blessed with Uranium.
Shall we explore this field and make use of the available resources.
An investment in Science and research will be a game changer.

19/08/2026

What numbers are between 0 and 1 called and what significance do they play in Statistical analysis and hypothetical testing?
Wake Up we study.

Mathematical view of Real Numbers..... Walter Rudin ( Principles of Mathematical Real Analysis) clearly describes and ex...
18/08/2026

Mathematical view of Real Numbers.....

Walter Rudin ( Principles of Mathematical Real Analysis) clearly describes and explains the concept of Real Numbers, essential in Real Analysis of Mathematical Concepts in Calculus, Statistics, Algebra and other branches. for further guidance check it out.

Real Numbers are a complete ordered field. This is the definition of Real Numbers.
Do you remember the types of numbers? Natural Numbers,Intergers, Rational Numbers,Prime and others...
Are natural Numbers Real Numbers? Are intergers Real Numbers? Are Rational Numbers Real Numbers? What qualifies a number set to be a real Number?

Field Axioms. Mathematical statements. There exist 11 axioms that must be satisfied for a number set to be a field. The Operations of Addition and Multiplication on sets must be satisfied.

1. Closure under Addition. Let a and b belong to set R.(a+b) e R.
2.Closure under multiplication. a,b are members of R. (a × b) e R.
3. commutative Law on Addition. a,b are in R, if a+b=b+a e R.
4. Commutative Law on *. a×b=b×a are members of R.
5. Assocatiatve laws on Addition. (a+b)+c=a+(b+c) in R
6.Associative law on Multiplication. ab=ba
7. There exist an identity 0. a+0=a
8. There exist an identity 1. a1=a
9. Additive inverse. a+ (-a)= 0
10.Multiplicative inverse holds. a.a-=1
11. Distributive law holds. a(b+c)= ab+ac

If all of these are satisfied that number set is qualified to be called a Field.

Order operations of must be satisfied, there are rules here also. Do a research.

HINT: REAL NUMBERS SATISFY THE 11 FIELD AXIOMS AND ORDER PROPERTIES.
NATURAL NUMBERS ARE NOT REAL NUMBERS BUT SUBSETS OF REAL NUMBERS.

Task: Logically Prove why Intergers are not Real Numbers and give sufficient reasons as a mathematical analysts at an Engineering Firm working on building an application software that solves real life problems in Architectural Designs.

17/08/2026

Mr Peter's Farm over the years no longer produces good yields of Maize as it used to in 2019. The rainfall pattern and weather conditions — temperature, humidity are perfectly okay and weather forecasts are in favor of a good bumper harvest. You are called upon as a consultant in collaboration with Agricultural extension officers to look into the matter. As an analyst how do you go about solving this challenge of poor yield at Mr Peter's Farm. few meters from his farm, Mrs Chileshe's crops yields are super good.
How are you going to work out this problem to help Mr Peter whose livelihood depends on Farming?

17/08/2026

Are Natural Numbers Real Numbers? {1,2,3,4.......}
Logically provide proofs to your answer.

16/08/2026

” You are a newly appointed minister in government tasked with internal security and the suggestions coming to your office is to change the clause on the nrc that requires individuals' native chiefdoms indicated to be scrapped off in order to respond to the national debate of tribalism...."

You now have to carry out a research and decide based on empirical evidence of what action to undertake.

Proposed hypothesis:° There is no significance in having Chiefs and identifying oneself by tribe in Zambia
°There is Significance in having Chiefs in Zambia and identifying oneself by tribe in Zambia

ALLEGED EXISTING THEORY: identifying oneself by tribe is one of the reasons development is unreached in some regions. Chiefs in this modern time serve no purpose in governance as all powers and ruling power are from the Republic Of Zambia GRZ..
suggestions from the crowd: Scrap off tribal identities and chief hierarchies. Belonging to a tribal grouping is a proponent to tribalism.

Draft a research topic
research problem
identify independent variables and dependable variables
Construct the research objectives
re work on the hypothesis' suggested.
Suggest your population
Sample
Sampling Technique
State clearly the Null and Alternative hypothesis

NOTE:THIS IS JUST FOR EDUCATIONAL PURPOSES AND A GUIDE TO QUANTITATIVE RESEARCH and does not in any way have anything to do with the debatable issue Tribalism.

15/08/2026

As we are kept busy with Election Results let us not lose focus on learning. It should be continuous. An unbroken commitment towards knowledge,skills and attitudes attainment is important. Fields like Mathematics and Natural Science demands all to give themselves wholly to them.
Holidays are with us. Books should not be closed.
We are a bedrock on which ENGINEERING AND TECHNOLOGY STANDS ON.
Mathematics and Natural Science. Let's not lose sight of our purpose. In all fields our Mathematical ideas are needed as a means of inquiry, data collection, analysis and interpretation. That said, be encouraged to engage in self discovery studies and focus not only on passing exams and tests but more on mastering your maths and science concepts such that at an appointed time you can solve real life problems and contribute to the social and economic development of this beautiful country Zambia.
Explore this beautiful world of Maths!

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