“The complementary disc becomes a Boy's surface.“

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“The complementary disc becomes a Boy's surface.“

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Viviani's Theorem
Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in various math competitions, secondary school mathematics examinations, and has wide applicability to many problems in the real world.
This proof depends on the readily-proved proposition that the area of a triangle is half its base times its height—that is, half the product of one side with the altitude from that side.
Let ABC be an equilateral triangle whose height is h and whose side is a.
Let P be any point inside the triangle, and s, t, u the perpendicular distances of P from the sides. Draw a line from P to each of A, B, and C, forming three triangles PAB, PBC, and PCA.
Visual proof of Viviani's theorem
1. Shortest distances from point P to sides of equilateral triangle ABC are shown.
2. Lines DE, FG, and HI parallel to AB, BC and CA, respectively, and passing through P define similar triangles PHE, PFI and PDG.
3. As these triangles are equilateral, their altitudes can be rotated to be vertical.
4. As PGCH is a parallelogram, triangle PHE can be slid up to show that the altitudes sum to that of triangle ABC.
Instead of making a long post about my curent situation that becomes increasingly worse with each day, I'll just complain into the void that there is, in fact, no way for me to try out MapleSoft wiithout lying, though that's a small unharmful lie imo. You want to know why?
There is no Ukraine in the list of countries and you are required to fill that for the trial.
To be fair, Belarus and Russia isn't on the list either.
I guess they try to stay right supporting neither side of the war?...
"신뢰성 있는 개발, 쉬운 커미셔닝, 탁월한 성능"
“신뢰성 있는 개발, 쉬운 커미셔닝, 탁월한 성능”
MapleSim은 복잡한 기계 시스템으로 측정한 물리력을 계산하는 수학 기반 소프트웨어 전문 업체 Maplesoft의 고급 모델링 툴이다. Maplesoft와의 파트너십 체결로 B&R은 Automation Studio 엔지니어링 플랫폼과 기계 자체를 디지털 트윈으로 통합하는 것이 그 어느 때보다 쉬워졌다. Maplesoft의 Chad Schmitke씨와 B&R의 Kurt Zehetleitner씨는 이 흥미로운 기술의 장기적인 영향뿐만 아니라 기계 제조업체들을 위한 즉각적인 혜택에 대해서도 설명한다.
B&R의 시뮬레이션과 디지털 트윈 팀의 리더인 Kurt Zehetleitner박사 (왼쪽)와 Maplesoft의 제품 개발 수석 책임자인 Chad Schmitke박사 (가운데)는 양 회사의 파트너십이 기계…
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디지털 트윈(digital twins)의 새로운 가능성
디지털 트윈(digital twins)의 새로운 가능성
모형 기반의 기계 개발 단순화하는 B&R MapleSim Connector
B&R의 MapleSim Connector를 통해 모형 기반(model-based)의 기계 개발이 쉬워진다. MapleSim Connector는 기계 구성품을 모형화하는데 소비되는 시간을 현저히 절감시킬 수 있다. 기계 기능의 프로그래밍부터 배치까지 손쉽게 이용할 수 있다. B&R MapleSim Connector는 B&R Automation Studio의 환경에 완벽하게 통합된다.
B&R MapleSim은 STEP 포맷으로 CAD 데이터를 기반으로 하여 고도로 정확하고 역동적인 기계 모델을 창출한다.
B&R MapleSim Connector는 B&R 고객이 Maplesoft로부터 MapleSim 툴을 효율적으로 통합할 수 있는…
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Maplesoft Maple v2017.1 Build 1238644 (x86/x64) Multilingual-P2P
P2P group has released the newest build of “Maplesoft Maple”. Description: The Essential Tool for Mathematics. Maple is math software that combines the world’s most powerful math engine with an interface that makes it extremely easy to analyze, explore, visualize, and solve mathematical...
DOWNLOAD: https://warezator.net/maplesoft-maple-v2017-1-build-1238644-x86x64-multilingual-p2p/
How to make new type of 6 faces dices. The power is the value of the face and the coefficient is the number of time it is on the dice. If we can find probabilities for sum of 2 dices with the polynomial multiplication and if we factor the 2 dices on different ways, we can have differents dices with the same probabilities for the sum. We can play more with the polynomial form, but this is, I think, a good way to introduce young people about quantum mechanics math. (The font came from the fact that I was doing a joke to a friend... So sorry)