### Programming In Three Dimensions

By William Troiani, The University of Melbourne What can and can’t a computer do This question is central to the area of Mathematics now referred to as computability theory. In the early 1900’s, [...]

Tag Archives for: "mathematics"

mathematics

By William Troiani, The University of Melbourne What can and can’t a computer do This question is central to the area of Mathematics now referred to as computability theory. In the early 1900’s, [...]

By James Bailie, Australian National University Suppose you and your friend each read a book on a difficult subject. You think your book is harder than your friend’s, but your friend thinks the [...]

By Yinli Wang, The Australian National University Water resource is essential to human’s survival and is also affecting many aspects of our life, including economics, health, and environment. [...]

By Abdul Zreika, The University of Sydney So, say you’re at home on a typical Friday night, having the time of your life untying and retying your shoelace knots over and over again, wishing that [...]

By Sheng Xu, The University of Sydney A major problem in the Australian education system, and one which has received significant media coverage lately, is the decline in mathematical ability of [...]

By Peter Wreford, RMIT University My AMSI vacation research project involved applying graph theory to the genetics of drought resistant chickpeas. Chickpeas are a highly nutritious food, [...]

By Anna Vaughan, Australian National University It has long been realised that mathematics provides a beautiful and powerful framework to describe the universe in which we live. From [...]

By Lachlan Tyrrell, Queensland University of Technology I love mathematics. Maths is somehow miraculous and beautiful despite being perfectly logical. I understand that not everyone feels this [...]

By Timothy Tillman, The University of Newcastle If you buy the exponential growth of tech metrics (such as cost per memory, energy per floating point operations, etc.) staying that way for the [...]

By Elisa Tancredi, La Trobe University For as long as I can remember, I’ve been ‘teaching’ maths. I have always loved maths and express it in a fun and positive way. My earliest memory is being [...]

By Aiden Suter, The University of Queensland As we grow, we become familiar with many types of numbers ranging from fractions to irrational numbers such as π. The first type of numbers we [...]

By Alexander Stokes, The University of Sydney One of the most thrilling things about doing mathematics at any level is seeing how a problem transforms when you think about it in different ways. [...]

By Amy Stringfellow, Queensland University of Technology When I left school, I rather liked maths. It had beautiful logic, symmetry and best of all, there was one logical solution for any problem [...]

By Dimitrio Sidi, University of Western Australia There is a popular video game series called Just Cause where players control a character whose objective is to liberate towns from the rule of an [...]

By Haris Sahovic, Monash University In human history, mathematics has never been as important as it is today. It has a direct impact on the majority of our everyday lives, as citizens and [...]

By Timothy O’Sullivan, The University of Melbourne Most of us are familiar with the concept of Atoms, the idea that everything around us and inside us is made up of these very tiny building [...]

By Angus Lewis, The University of Adelaide It’s summer in Australia and Christmas is coming. Friends and family travel from across the country to be together. It’s very exciting for [...]

By Todd Neve, The University of Melbourne The Ising Model is a mathematical model of ferromagnetism in statistical mechanics. It was first studied by Ernst Ising in the 1920s to analyse critical [...]

By Daniel Kon, The University of Adelaide My AMSI VRS project fell somewhere in the intersection of mathematics and genetics. The study of genetics in the age of computers involves dealing with [...]

By Rhiannon Kirby, Monash Univeristy ”The scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is [...]

By Alex Ligthart-Smith, La Trobe University When I found out I had been accepted into the AMSI Vacation Research Scholarship program I was so excited and grateful. At nearly 26, it has taken me [...]

By Anna Kervison, The University of Queensland Riemannian geometry is a branch of non-Euclidean geometry developed by Bernhard Riemann, used to describe curved space. In Riemannian geometry, a [...]

By Jamieson Kaiser, Monash University I remember when I finally had the idea. I was very excited. After two weeks of working full time on my AMSI project (a life time for a university student), I [...]

By Maxim Jeffs, The Australian National University In 1960, the physicist Eugene Wigner published his essay ‘The Unreasonable Effectiveness of Mathematics in the Natural Sciences’, partly as a [...]

By Emma Johnston, Queensland University of Technology The motion of a particle suspended in a fluid, a malaria infected mosquito zipping around a village or the price of fluctuating stock are [...]

By Michael Hallam, The University of Adelaide Everyone is familiar with the notion of a space – we live in a space after all. We can imagine one dimensional spaces such as the real number [...]

By Logan Haami, University of Technology Sydney Throughout the summer of 2015/16 I was lucky enough to become an AMSI vacation research scholar by conducting my very own research project (which [...]

By Xiangyuanchai Guo, The Australian National University Suppose you are a very smart student like me (just joking), so that you never fail any exam just like me (joking again). Suppose I am [...]

By Luke Ginn, Queensland University of Technology Batteries are becoming increasingly important in today’s society, with the latest release of Tesla’s Powerwall (house battery) and Tesla’s ever [...]

By John McCarthy, The University of Adelaide In late 1915, Albert Einstein published his first paper on the subject of General Relativity. In it, he described a picture of our universe as a [...]

By Padraic Gidney, The University of Sydney For my summer project, I investigated the behaviour of a particular kind of solution – what’s called a periodic wave train solution – [...]

By Sarah Gazelle, RMIT University As a child I never had an interest to learn mathematics and I never particularly enjoyed it. I was shocked on my first day of Year 6 when my teacher told me and [...]

By Russell Edson, The University of Adelaide When cartilage is damaged – by injury, genetic disorders, or diseases like Osteoarthritis – the results can be physically debilitating. Currently the [...]

By Kevin Duxbury, Monash University I was fortunate enough to embark on a fascinating journey into bio-mathematics taking the form of an AMSI research project. It was wonderful to gain insight [...]

By Penelope Drastik, University of Wollongong What is the square root of -1? Most people would say that it doesn’t exist. Since the product of two positive numbers is positive, and the product of [...]

By Andy Chu, University of Technology Sydney Mathematics has been a passion of mine ever since I was a kid. It is relevant to every aspect of life. So it was sad to see fellow students who would [...]

By An Ran Chen, Australian National University In 1852, the South African mathematician and botanist Francis Guthrie asked a seemingly simple question, “Is it possible to colour any map with at [...]

By Maxwell Cairns, La Trobe University A simple Interval estimator for the ratios of two medians was given by Bonett and Price in a 2002 paper in the Journal of Statistical Computation and [...]

By Debra Briggs, Federation University Australia My interest in numbers began as a pre-schooler. When I was 3 years old I remember my mother pulling a mandarin in half and talking about how two [...]

By Morris Vysma, The University of Newcastle Encrypted Communications are one of the most important inventions of the modern ages. You might not know it but encryption goes far beyond letting [...]

By Bohao Yao, The University of Melbourne A Hamiltonian cycle in a graph is a cycle that passes through every vertex in the graph exactly once. Determining whether a graph has a Hamiltonian cycle [...]

By John Wormell, University of Sydney Many people have come to rely almost exclusively on computers to carry out the maths they have to do. Throughout the scientific and business worlds, people [...]

By Campbell Wheeler, The University of Melbourne Around the turn of the 19th century David Hilbert wanted to find a list of rules that completely describe the various areas of mathematics. When [...]

By Rahil Valani, Monash University You might be wondering how can bouncing droplets – a macroscopic system, be related to the theory of Quantum Mechanics, which governs the microscopic [...]

By Hamish Thorburn, The University of Queensland Cricket is one of the most popular sports in Australia, and the men’ s test team has a huge following here. Often debates will occur as to which [...]

By Xun Chun Tee, The Australian National University As a student, we might be interested to ask, are boys or girls achieving better performance in the Australian Tertiary Admission Rank (ATAR)? [...]

By John Tait, RMIT University A fingerprint is incredibly detailed, with lots of tiny ridges circling round, sometimes joining up, and sometime ending, that trying to determine if two prints [...]

By Angus Southwell, Monash University The spotlight glares at you as Mr Hall explains the game to you and thousands of viewers. “You have three doors to choose from. Behind one is a car, and [...]

By Laura Smith, Deakin University We are all too familiar with situations where we are a part of a group that has to make a decision. Going out to dinner with friends requires a group decision [...]

By Trent Skorka, University of Queensland When most people ask what I’m studying and I respond with mathematics, I can see from their expressions that the first question they want to ask me is [...]

By Eric Shen, The University of Melbourne We are also familiar with the phenomenon where a rectangular shaped object can be excited into oscillations in a medium, like a flag flapping in air. [...]

By Christopher Rock, University of New South Wales Infectious disease is an area where mathematical modelling is particularly important. Infectious disease has significant real-world costs. [...]

By Thomas Robinson, University of Newcastle My AMSI VRS project involved the study of permutations that avoid the pattern 1324. A permutation of length n is a rearrangement of the numbers from 1 [...]

By Anas Rahman, The University of Melbourne For as long as I can remember, I’ve enjoyed mathematics. I’ve always looked forward to learning new mathematics, and tackling new problems. I like it [...]

By Liam Polkinghorne, Queensland University of Technology Growing up, I never truly loved Mathematics. I’ve always been good at it but never found the spark to keep Mathematics in my life as a [...]

By Adrian Petersen, University of Western Australia My AMSI vacation research project was based upon factorisation. During school, everyone learnt the basic properties of factorisation. We [...]

By Stephen Pang, RMIT University ‘Big data’ refers to extremely large volumes of data that is difficult or impossible to analyse by a conventional means. In sports this refers to the vast amount [...]

By Gilbert Oppy, Monash University Have you ever noticed how, on your regular commute to work/uni/school, you’ll be stuck in traffic at certain points of your journey but be moving freely at [...]

By Abraham Chi Shun Ng, University of Sydney Mathematics governs much of the observed and unobserved physical reality that surrounds us. However, the relationship between mathematics and the [...]

By Tingyu Mao, UNSW Australia Banach space is currently a very basic concept in functional analysis as well as a common object under extensive research. A complete normed vector space is called a [...]

By Simon Lu, RMIT University Ants in a colony exhibits extraordinary behaviour, to such a degree that intense research has been placed in studying their social paradigms. Ant colonies achieve [...]

By Jiemi Lin, Monash University Many high school students and even university students choose to do biology because they are scared of the maths in other sciences such as physics. But as we [...]

By Tyson Liddell, Monash University Throughout my secondary education, for the most part, I thoroughly enjoyed mathematics and to this day I still recall vividly the first time I encountered the [...]

By Rohit Kumar, RMIT University Since I entered primary school, I always had a passion for numbers and used to be strong at them. I was very quick with my addition, subtraction, multiplication [...]

By Nicholas Katada, The University of Sydney Estimation, as you can imagine, plays a fairly central role in statistics as it allows us to establish a connection between our theoretical knowledge [...]

By Ben Jones, Monash University Like many people before me, I became obsessed with trying to solve the Rubik’s cube. This obsession grew into one of my large hobbies, and I now have a collection [...]

By Max Jolley, Monash University Suppose that you are working in a library, and at the end of each day it is your job to ensure the books on each shelf are arranged in alphabetical order. You [...]

By Morgan Hunter, La Trobe University In primary school, I was terrible at maths. I used to dread those afternoons in class where nothing made sense and I never got the right answer. Then, in [...]

By Liam Hodgkinson, The University of Queensland Let’s talk for a minute about pandemics: epidemics of global proportions. They are some of the most imminent natural threats to human [...]

By Terence Harris, The University of New South Wales In everyday life, images can be seen reflecting off the surface of a lake, a tinted window, or more commonly, through a mirror. Most mirrors [...]

By Bryce Hackett, Griffith University Body: The area of study that my research was focused in is formally called dynamical systems, which means how the dependent variables change in time. This [...]

By Omar Ghattas, The Australian National University In this blog post, I thought it would be a good idea to reflect on the last six weeks which I spent working on the AMSI Vacation Research [...]

By Asha Gair, La Trobe university “Mathematics has beauty and romance. It’s not a boring place to be, the mathematical world. It’s an extraordinary place; it’s worth spending time there.” – [...]

By Anthony Flynn, University of Wollongong One of the most common applications of mathematics is in the modelling of physical problems. These often involve rates of change, and our main tool of [...]

By Norah Finn, RMIT University Throughout high school, I was one of those people who enjoyed different subjects. Maths was always one of them, but it wasn’t until year 12 that I decided I wanted [...]

By Kristen Emery, The University of Sydney In statistics, hypothesis testing is when we mathematically test a null hypothesis and either accept or reject it based on a value acquired from the [...]

By Mi Do, RMIT University Three years ago, whenever I am asked why I am choosing to study Mathematics, my answers were: I like maths, I can study maths and I think it is very useful in every [...]

By Nicole Cocks, University of Wollongong Wheat is a cereal grain that is processed and used as a base ingredient for many of our everyday foods such as breakfast cereals, bread, cookies and [...]

By Joshua Ciappara, The University of Sydney The six weeks of mathematical research I undertook over this last summer permitted me numerous important personal insights – on the nature of abstract [...]

By David Ceddia, Monash University Within colloquial language exists the simile ‘dry as a bone’ which is often used to refer to something that is extremely dry. For example; that dessert is dry [...]

By Timothy Buttsworth, The University of Queensland Imagine the surface of a sphere. It’s nice and smooth- it has no sharp bits. If we cut it in half along the equator, we get the surfaces of two [...]