Jonathan Borwein (Jon)

There is such a thing as ‘too precise’ when it comes to numbers. So what’s appropriate? Erik Olsson

The significance of digits: just how reliable are reported numbers?

When numbers of any sort are presented in mathematics, science, business, government or finance, it’s fair to say a reader assumes that the data are reasonably reliable to their last digit. But presenting…
Study the form guide all you like – on big race days, your money’s probably safer in your pocket. AAP/Joe Castro

How betting works – and why the Melbourne Cup skews the odds

Australia’s iconic sporting event – the Melbourne Cup – will see more than 100,000 punters pack into Flemington Racecourse this Tuesday, while those at work around the country pause to tune in to The Race…
An example of unidirectional cause and effect: bad weather means umbrella sales rise, but buying umbrellas won’t make it rain. Mariusz Olszewski/Flickr

Clearing up confusion between correlation and causation

UNDERSTANDING RESEARCH: What do we actually mean by research and how does it help inform our understanding of things? Today we look at the dangers of making a link between unrelated results. Here’s an…
Maryam Mirzakhani – the first woman to win the Fields medal – was recognised for contributions to understanding the symmetry of curved surfaces. Stanford University

Meet the winners of the Fields medal – the ‘Nobel prize of maths’

The four winners of the 2014 Fields medals – the most prestigious prizes for mathematics – were announced today, including the first female and first Latin American recipients of the 78-year-old…
While funding medical research has been given a boost, other facets of science such as astronomy face deep cuts. AAP/Paul Miller

Budget 2014: there’s more to science than medical research

It’s hard to ignore the irony. The 2014 federal budget will “better target innovation and research funding to areas of national and strategic priority” but funding cuts of more than A$111 million to CSIRO…
Let’s paint a picture of ‘pi’. jakedobkin/Flickr (cropped)

We still can’t get enough pi … but why?

The number pi (π = 3.14159265358979323846…), unique among the pantheon of mathematical constants, captures the fascination of the public and professional mathematicians. Three years ago one of the authors…
Fundamental, wide-ranging and curious research is the basis of a country’s development. Cuts to CSIRO won’t help. CarbonNYC/Flickr

Australia needs fundamental research to build a great country

Like many scientists, I was apprehensive in advance about the Abbott government’s approach to science policy. Would it be pragmatic but fact-based or would it be ideological and politically driven? Sadly…
Would an “open science” approach lead to less academic fraud? It’s possible. jintae kim's photography

Scientific fraud, sloppy science – yes, they happen

Fraud. It’s an ugly word, an arresting word. As with “cheating” it comes loaded with negative connotations, but can potentially lead to far greater penalties and consequences. And yet fraud in science…
The predictions of current particle physics have been spectacularly validated. Michael J. Linden

A Higgs, the Higgs … is maths at the root of reality?

So, the Higgs boson … Last week, researchers at the European Organization for Nuclear Research (CERN) finally announced the new particle discovered last summer is indeed a Higgs boson, a particle predicted…
What starts as a flap of wings can end – metaphorically – in a hurricane. horizontal.integration

Explainer: what is Chaos Theory?

Clouds are not spheres, mountains are not cones … Nature exhibits not simply a higher degree but an altogether different level of complexity. - Benoît Mandelbröt, The Fractal Geometry of Nature Chaos (n…