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Compound infections
Why does the number e appear in models of exponential growth?
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How long until it's all over?
We can't say for sure, but everything depends on how many people agree to be vaccinated.
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Who should be vaccinated first?
Modelling shows that old and vulnerable people should be prioritised.
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How were the vaccines tested?
Like any medical drug, vaccines are tested in large-scale randomised controlled trials.
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How effective are the vaccines — and how do we know this?
The efficacy of vaccines is estimated from trials, using statistical techniques.
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Since herd immunity will protect us all, why do I need to get vaccinated?
Because the vaccine may not stop transmission of the virus.
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Are the vaccines safe?
Yes the approved vaccines are safe. If you balance the risks, then taking the vaccine is much safer than taking your chances with COVID-19.
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What's the price for relaxing the rules?
We are all longing to go into a lower tier, but this can come at a high price later on.
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Some lovely proofs by picture
Don't like trigonometry? Don't worry, here are three beautiful proofs of a well-known result that make do without it.
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Maths in a minute: Triangular numbers
Triangular numbers: find out what they are and why they are beautiful!
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Physics in a minute: The double slit experiment
One of the most famous experiments in physics demonstrates the strange nature of the quantum world.
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The fingernail problem and metallic numbers
A beautiful geometric problem opens the door to the world of metallic numbers.