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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

News Archive

Census 2011 overshadowed by vuvuzela announcements
2012-11-20

Mike Schüssler, economist
Photo: Hannes Pieterse
15 November 2012

Census 2011 contains good statistics but these are overshadowed by vuvuzela announcements and a selective approach, economist Mike Schüssler said at a presentation at the UFS.

“Why highlight one inequality and not another success factor? Is Government that negative about itself?” Mr Schüssler, owner of Economist.co.za, asked.

“Why is all the good news such as home ownership, water, lights, cars, cellphones, etc. put on the back burner? For example, we have more rooms than people in our primary residence. Data shows that a third of Africans have a second home. Why are some statistics that are racially based not made available, e.g. orphans? So are “bad” statistics not always presented?”

He highlighted statistics that did not get the necessary attention in the media. One such statistic is that black South Africans earn 46% of all income compared to 39% of whites. The census also showed that black South Africans fully own nearly ten times the amount of houses that whites do. Another statistic is that black South Africans are the only population group to have a younger median age. “This is against worldwide trends and in all likelihood has to do with AIDS. It is killing black South Africans more than other race groups.”

Mr Schüssler also gave insight into education. He said education does count when earnings are taken into account. “I could easily say that the average degree earns nearly five times more than a matric and the average matric earns twice the pay of a grade 11.”

He also mentioned that people lie in surveys. On the expenditure side he said, “People apparently do not admit that they gamble or drink or smoke when asked. They also do not eat out but when looking at industry and sector sales, this is exposed and the CPI is, for example, reweighted. They forget their food expenditure and brag about their cars. They seemingly spend massively on houses but little on maintenance. They spend more than they earn.”

“On income, the lie is that people forget or do not know the difference between gross and net salaries. People forget garnishee orders, loan repayments and certainly do not have an idea what companies pay on their behalf to pensions and medical aid. People want to keep getting social grants so they are more motivated to forget income. People are scared of taxes too so they lower income when asked. They spend more than they earn in many categories.”

On household assets Mr Schüssler said South Africans are asset rich but income poor. Over 8,3 million black African families stay in brick or concrete houses out of a total of 11,2 million total. About 4,9 million black families own their own home fully while only 502 000 whites do (fully paid off or nearly ten times more black families own their own homes fully). Just over 880 000 black South Africans are paying off their homes while 518 000 white families are.

Other interesting statistics are that 13,2 million people work, 22,5 million have bank accounts, 19,6 million have credit records. Thirty percent of households have cars, 90% of households have cellphones and 80% of households have TVs.
 

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