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Anton Bruckner Eine Entdeckungsreise (A Journey of Discovery) Two very naughty boys from the St. Florian Sängerknaben go on a journey first running up to a dangerous looking attic of the Stift St. Florian to steal a map, binoculars, a looking glass and money. If you look closely at the coin you...

Coming in 2024: Ancient Aliens Season 20 The Secret of Skinwalker Ranch Season 5 Beyond Skinwalker Ranch Season 2 It's all about aliens if you like that stuff.

They are up on youtube now: (lecture 1) (lecture 2) (lecture 3)

The BBC 4 showed the last of the RICL The Truth About AI 2023 lectures today. They are on BBC iplayer at https://www.bbc.co.uk/programmes/m001tv7s (1st lecture) https://www.bbc.co.uk/programmes/m001tv98 (2nd lecture) https://www.bbc.co.uk/programmes/m001tv91 (3rd lecture) If you have an...

For the mac, here is a slightly better Terminal command to force the sync to resume: pkill -9 "MDCrashReportTool" and if you do this instead you do not need to find the Process ID. Also the iOS 17.2.1 update did not fix the sync bug.

Steve Howard 1000 questions updated (v7): https://howardmathematics.com/wp-content/uploads/2023/12/1000-Extension-2-Revision-Questions-v7-December-20-2023.pdf

Terry Lee Solutions: https://advancedmathematics.com.au/Resources/2023%20Ext1.pdf

Terry Lee Solutions: https://advancedmathematics.com.au/Resources/2023%20Ext2.pdf

Date has been set for the 2024 HSC Feedback Day for NESA presentations on marking of the 2023 HSC Maths exams 9am-4:30pm on Feb 24, 2024. Venue TBC. Hopefully they will do video recordings instead of the audio ones they did this year. I will post again later when I know the venue.

https://www.smh.com.au/sport/i-was-quite-sick-about-the-situation-fury-as-biological-male-wins-womens-croquet-world-title-20231214-p5erhq.html They guy won by entering as a woman! The women complained he had unfair advantages.

iOS 17.2 introduces a bug where the sync with computer stalls at Step 2 of 4: Preparing to sync On a mac you can force it to resume the sync by killing MDCrashReportTool either in Activity Monitor or in Terminal. If you choose to do it in Terminal, run this after starting the sync: ps aux|grep...

Those solutions turned out to have been done by one of the first-in-state for Standard 2

matrix solutions: https://www.matrix.edu.au/2023-hsc-physics-exam-paper-solutions/

nesa's mg: https://educationstandards.nsw.edu.au/wps/wcm/connect/a2d37b93-72bb-4a62-b907-63aca804dc39/2023-hsc-maths-ext-2-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-a2d37b93-72bb-4a62-b907-63aca804dc39-oL-IGGs

So now the solutions at https://4unitmaths.com/hsc2023e2-tywebb.pdf have been updated to include the Altshiller-Court, Apollonius of Perga and Fonda methods for 15bii.

Taking a rather more sophisticated approach we may get another proof without vectors - using a generalisation found in 2013. First redefine the term bimedian for n points as the segment joining the midpoint of one segment to the barycenter of the remaining n-2 points. Then the sum of the...

And here is yet another non-vector proof which is even older (although not as elegant as Altshiller-Court's): From The American Mathematical Monthly, Vol. 25 Issue 3, page 122 (1918) Note that the theorem they are referring to is Apollonius' Theorem. This is in the Cambridge Extension 1 Year...

Here is a photo of the dude who wrote that book: Nathan Altshiller-Court Very expensive hardcover first editions are available on amazon, ebay, etc., however it is also available as a free ebook.

An incorrect view has been expressed that 15bii can't be done without the use of vectors. Here is an alternative solution to 15bii without the use of vectors: The sum of the squares of two pairs of opposite edges of a tetrahedron is equal to the sum of the squares of the remaining two opposite...

mg from nesa is up: https://educationstandards.nsw.edu.au/wps/wcm/connect/41d6a29e-e3b8-428f-a5dc-3cdcbe3b58db/2023-hsc-chemistry-mg.pdf?MOD=AJPERES&CACHEID=ROOTWORKSPACE-41d6a29e-e3b8-428f-a5dc-3cdcbe3b58db-oLRxQ8N