WoW Mathematics: Heavy Breathing

When Valiona breathes fire, she breathes lots of it. Not only does it reach the very edges of the room she is in, it also has a 180° angular spread.

Given that most fires tend to be bad, it is usually prudent to run out of it. There are, of course, a multitude of possible directions to run, which leave the player roasting for different amounts of time. Which path is the quickest?

Summary:

• The quickest path out of Devouring Flames is a straight line perpendicular (at right angles) to the boundary of the cone.
• If Valiona is facing the player, the quickest path out is through Valiona.
• Given a Cartesian coordinate system, the starting position (x₁,y₁) and the equation of the boundary ax + by + c = 0 ,the distance d to run is:

Doomsday: Extreme Weather

Earth is humanity’s cradle, but by no means can it completely harbour us from harm. Many risks threaten individual lives, but there are some catastrophic enough to wipe out entire species. Is it possible for the prolific human species to face extinction?

Earth's climate is a complicated system, one which climatologists are still studying. Like in a car or computer, a minor change in one component can cause more major effects throughout. Although volcanoes can disrupt this delicate machinery, there are other factors which can plunge Earth into an ice age, some of which built in, others brought about by humans.

History
150 000 years ago, Earth orbited a little further from the Sun than normal. It went through a particularly severe ice age, where the human population dropped to as low as 2000 people.

Doomsday: She's Gonna Blow

Earth is humanity’s cradle, but by no means can it completely harbour us from harm. Many risks threaten individual lives, but there are some catastrophic enough to wipe out entire species. Is it possible for the prolific human species to face extinction?

Volcanoes cause much disruption in their own right. However, much larger supervolcanoes do exist, with as many as eleven likely hotspots found around the world. Should one erupt, the surrounding area will certainly be levelled and buried, and the broader world would go through an unseasonal winter.

History
There are countless examples of volcanic eruptions throughout human history, let alone throughout the life of planet Earth. A more famous one occurred in AD 79 when Mt. Vesuvius erupted. Nearby Pompeii and Herculaneum were buried under several metres of pumice, sudden enough to preserve the inhabitants in their original positions.

Gift Card Creditors

Last February, REDgroup in Australia entered into voluntary administration after finding it difficult to pay off debts. Owning the Borders and Angus & Robertson bookstore chains in Australia, the administrators demanded that gift cards issued by these stores only pay for half the cost of purchases; the remaining half would have to come out of the customer's pocket.

As customers are accustomed to gift cards' applying to the full cost of a purchase, this caused quite an uproar, with sales staff being abused despite no fault of their own. However, this gesture may well have been a generous one considering how liquidation works, for gift card holders are creditors to the issuing business.

Gift cards are debt
The Framework for the Preparation and Presentation of Financial Statements (AASB) concisely defines a liability as:

...a present obligation of the entity arising from past events, the settlement of which is expected to result in an outflow from the entity of resources embodying economic benefits.

Doomsday: Sunfury

Earth is humanity’s cradle, but by no means can it completely harbour us from harm. Many risks threaten individual lives, but there are some catastrophic enough to wipe out entire species. Is it possible for the prolific human species to face extinction?

The Sun provides all living things with the heat (and, indirectly, food) needed to survive. Yet for all its needed sustenance, there are also times when it turns against life, in particularly spectacular fashion. Every 13 years it throws a tantrum of sorts, with the next one due on late 2012.

Doomsday: The Mayan Code

Earth is humanity’s cradle, but by no means can it completely harbour us from harm. Many risks threaten individual lives, but there are some catastrophic enough to wipe out entire species. Is it possible for the prolific human species to face extinction?

The Maya empire fell centuries ago, yet their work continues to intrigue to this day. Among many opinions of that work is the conclusion that the world will end on 21 December 2012. How well does that theory stand up to modern scrutiny?

Raid Checklists [Checklist]

Like an airplane, a raid is made up of several parts that need to work together for the whole thing itself to work. Those parts need to be set correctly in order for that to happen.

Because of the daunting number of controls to set, airline pilots need to use checklists to ensure that every switch, dial and button are in the correct states for whatever the plane will be doing, whether taking off, cruising or landing. Similarly, several aspects of a raid need to be in specific states for the raid experience to be as smooth as possible. The following checklists mimic the pre-flight checklists used in airline aviation, listing the states of the various aspects of a typical raid.

There are checklists for:

• Preparing for the raid (pre-raid checklist)
• Preparing for a boss attempt (pre-boss checklist)
• Handling a raid wipe (wipe checklist)
• Concluding a raid (post-raid checklist)