The Conversation
Subscribe
  • Academic rigour, journalistic flair
  • For curious minds
  • Expert news and views
  • Debate and ideas
  • From the curious to the serious

Hot Topics

  1. Gay marriage
  2. Australia in the Asian Century
  3. Convergence review
  4. Federal Budget 2012
  5. War on drugs
  6. Bob Brown
  7. Explainer
  8. Square Kilometre Array
  9. Medical myths
  10. Transparency and medicine

Mathematics

Analysis and Comment (32)

Xfcmzwzy-1335939993
According to some, computer intelligence is on course to match human intelligence by 2045. Sybren A. Stüvel

Person or computer: could you pass the Turing Test?

As mentioned already on this site and others, this year marks the 100th anniversary of the birth of famed British mathematician Alan Turing. The outline of his remarkable life and sad ending has by now…
B9gvgf2v-1334207982
Finland has much to offer Australia and other nations when it comes to mathematics education. StreetFly JZ

Yes, there’s a numeracy crisis – so what’s the solution?

There’s been plenty of commentary recently on the “numeracy crisis” threatening the economies of many developed nations, including Australia. A 2009 report by the National Academies in the US was not…
Ptwf2vrk-1329361438
Uncertainty exists – but that's no excuse for a lack of action. @Doug88888

Hot and bothered: the uncertain mathematics of global warming

These are painful times for those hoping to see an international consensus and substantive action on global warming. In the US, Republican presidential front-runner Mitt Romney said in June 2011: “The…
C4p43n9v-1328839438
There's far more to the popular maths puzzle than putting numbers in a box. zlovall

Good at Sudoku? Here’s some you’ll never complete

Last month, a team led by Gary McGuire from University College Dublin in Ireland made an announcement: they had proven you can’t have a solvable Sudoku puzzle with less than 17 numbers already filled in…
3t429ysb-1327966354
We can't tame the oceans, but modelling can help us better understand them. Badruddeen

Super models – using maths to mitigate natural disasters

Last year will go on record as one of significant natural disasters both in Australia and overseas. Indeed, the flooding of the Brisbane River in January is still making news as the Queensland floods inquiry…
Yk8jfdzf-1327640125
Our present achievements will look like child's play in a few years. Rinoninha

Make mine a double: Moore’s Law and the future of mathematics

What do iPhones, Twitter, Netflix, cleaner cities, safer cars, state-of-the-art environmental management and modern medical diagnostics have in common? They are all made possible by Moore’s Law. Moore…
Jrff7z83-1326252442
The humble pigeon mightn't look smart, but it's no bird-brain. Seamoor

Are pigeons as smart as primates? You can count on it

We humans have long been interested in defining the abilities that set us apart from other species. Along with capabilities such as language, the ability to recognise and manipulate numbers (“numerical…
Hq5fybbh-1324357407
Momentum is gathering behind calls to pardon the father of computer science. BinaryApe

Calls for a posthumous pardon … but who was Alan Turing?

You may have read the British Government is being petitioned to grant a posthumous pardon to one of the world’s greatest mathematicians and most successful codebreakers, Alan Turing. You may also have…
S6cmvpjf-1323226288-1323228029
Our best efforts to gauge threats may be counter-productive. bre pettiss

Danger of death: are we programmed to miscalculate risk?

Assessing risk is something everyone must do every day. Yet few are very good at it, and there are significant consequences of the public’s collective inability to accurately assess risk. As a first and…
D6c315ad344e2eef-1323061463-1323063608
What will be the next number in this sequence? crisinplymouth

Millennium Prize: the Riemann Hypothesis

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy—a correct solution to any one results in a US…
3449993951-152f987ab5-b-jpg-1322632072-1322688397
If this doesn't bake your hippy noodle, nothing will. stuartpilbrow

Millennium Prize: the Birch and Swinnerton-Dyer Conjecture

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a US…
2987898631-5c3a56f6b1-o-jpg-1322454405
The problem's been solved … but the sweet treats were declined. Back to the Cutting Board

Millennium Prize: the Poincaré Conjecture

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a US…
2647699204_79b479cec4_o-1322096402
Deciding whether a statement is true is a computational head-scratcher. rofi

Millennium Prize: P vs NP

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a US…
2360854930_b2af925abb_o-1321927681
The Hodge Conjecture has stimulated the development of revolutionary tools and techniques. sensesmaybenumbed

Millennium Prize: the Hodge Conjecture

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a US…
2657830471_a1baabc557_o
How fluids move has fascinated researchers since the birth of science. tonyhall

Millennium Prize: the Navier–Stokes existence and uniqueness problem

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a US…
Aapone-20040325000012253558-usa_x43-a_hyperplane-original
If you want to optimise scramjets you're going to need the rule of the jungle. EPA/NSAS

Explainer: evolutionary algorithms

My intention with this article is to give an intuitive and non-technical introduction to the field of evolutionary algorithms, particularly with regards to optimisation. If I get you interested, I think…
378887333_07ae35f862_o
We know the universe is vast, but how do we measure the distances between things? Dave Scrimshaw.

How far away is everybody? Climbing the cosmic distance ladder

Let’s talk numbers for a moment. The moon is approximately 384,000 kilometres away, and the sun is approximately 150 million kilometres away. The mean distance between Earth and the sun is known as the…
4370721677_a59174c973_b
Australia ranks poorly for the number of graduates emerging with a science degree. epSos.de

Science, maths and the future of Australia

Australia faces many big challenges – in the economy, health, energy, water, climate change, infrastructure, sustainable agriculture and the preservation of our precious biodiversity. To meet these, we…
3654891414_a4a3dae010_b-1316062009
Are we getting closer to solving one of life's greatest mysteries? jcoterhals

Where is everybody? Doing the maths on extraterrestrial life

During a lunch in the summer of 1950, physicists Enrico Fermi, Edward Teller and Herbert York were chatting about a recent New Yorker cartoon depicting aliens abducting trash cans in flying saucers. Suddenly…
5507545821_3c67520e17_b
A universe composed differently could still support complex life. Susan NYC

Peer Review: The Fallacy of Fine-Tuning

Welcome to Peer Review, a series in which we ask leading academics to review books written by people working in the same field. Here Geraint Lewis, Professor of Astrophysics at the University of Sydney…
2106738478_9074e76d48_o
The cut-and-choose technique has been preventing tantrums since antiquity. free form by prudence

Cutting cake (and eating it too) – the sticky maths of fair division

I work on the mathematics of sharing resources, which has led me to consider emotions such as envy, behaviour such as risk-taking and the best way to cut a cake. Like, I suspect, many women, my wife enjoys…
4568047884_ecd7d81b24_b
Do we take the sophistication of numbers one to ten for granted? duncan

Magic numbers: the beauty of decimal notation

While adding up your grocery bill in the supermarket, you’re probably not thinking how important or sophisticated our number system is. But the discovery of the present system, by unknown mathematicians…
Summer_flood_aap
Improved modelling will help predict future climatic events, like changing summer rainfall. AAP

Getting projections right: predicting future climate

Region by region projections of how climate is likely to change over the coming decades help to make the prospect of global warming more tangible and relevant. Picturing the climate we are likely to have…
5078561124_6bd4c64e92_b
Alan Turing, through pure mathematics, laid the foundations for the modern computer. Leo Reynolds

Explainer: the point of pure mathematics

What is pure mathematics? What do pure mathematicians do? Why is pure mathematics important? These are questions I’m often confronted with when people discover I do pure mathematics. I always manage…
Flickr_bard_college_at_simon_s_rock
More maths teachers means better outcomes for students Flickr

Mathematics: Why we need more qualified teachers

There is a crisis in the education system, and it’s affecting the life chances of many young Australians. The number of secondary teaching graduates with adequate qualifications to teach mathematics is…
189336572_11a6548030_o
Knowing what's hard and easy is, in itself, quite hard. JuniorMonkey

Timetables – hard to read, even harder to build

When you look at a train or university timetable you don’t think about how the timetable was made – you’re thinking about your trip or where your next class is. In that moment, you couldn’t care less…
Head-1309239820
When you know the numbers, things get a whole lot easier. Roberto Bouza

Want to win at gambling? Use your head

GAMBLING IN AUSTRALIA – Some say “punting is a mug’s game”. But is this always true, or can an astute gambler make long-term profits? Certainly not from casino games. Casinos make profits by paying less…
Aapone-20090513000179000144-topshots-australia-film-auction-superman-original
Is it a plane? No, it's Smoothed Particle Hydrodynamics. William West/AFP

Superman returns – but who’s looking after his water?

Watching films such as Superman Returns or The Day after Tomorrow, you would have seen dramatic sequences of surging water and crumbling buildings. While doing so, mathematics was probably the last thing…
Pi_pie2
Pi pie

Are Pi’s days numbered?

Some people have argued that Pi’s days are numbered and that other tools, such as tau, could do its job more efficiently. As someone who has studied Pi throughout his entire working life, my response to…

Research and News (1)

Research Briefs (5)

Maths ability may be inborn

Maths ability in preschool children is strongly linked to an inborn and primitive “number sense,” according to new research…