you can take the Pythagorean Theorem – a fundamental building block of geometry – and apply it to construct a snail-like spiral with a number of interesting properties. Sometimes called a square root spiral or Theodorus spiral, this deceptively easy craft demonstrates mathematical ...
A method is proposed to construct spiral curves by inversion of a spiral arc of parabola. The resulting curve is rational of 4-th order. Proper selection of the parabolic arc and parameters of inversion allows to match a wide range of boundary conditions, namely, tangents and curvatures at ...
Searching & Sorting Search in a rotated sorted array https://leetcode.com/problems/search-in-rotated-sorted-array/ Searching & Sorting square root of an integer <-> Searching & Sorting Maximum and minimum of an array using minimum number of comparisons <-> ...
This image is from a set of Hubble observations which astronomers used to construct the “Cosmic Distance Ladder” — a set of connected measurements allowing the distances to the most distant astronomical objects to be determined. Astronomical distances are only directly measurable for relatively nearb...
0885 Spiral Matrix III Go 69.3% Medium 0886 Possible Bipartition 44.1% Medium 0887 Super Egg Drop Go 27.0% Hard 0888 Fair Candy Swap Go 58.3% Easy 0889 Construct Binary Tree from Preorder and Postorder Traversal 66.1% Medium 0890 Find and Replace Pattern 73.4% Medium 0891 Sum of Su...
In order to construct one of the spiral coordinate axes, let a one-arm spiral be given by 𝑟=𝑒𝑏𝜃r=ebθ (1) where r is the radial polar coordinate, 𝜃θ is the azimuthal polar coordinate, and b is the so-called spiral constant. The pitch angle, using the sign conventio...
When Ω h > 0.25 , the dynamic model can effectively reflect the change trend of the equivalent root-mean-square amplitude A r m s with frequency Ω h . With Ω h varying from 0.25 to 0.32 , 0.3 to 0.43 , 0.37 to 0.83 , A r m s decreases sharply and then increases slowly. In ...
If you're still a little confused, the video below gives a good overview of the Golden Ratio in use. There's a introduction, after which the teacher shows you how to construct a Golden Ratio in Illustrator. This is used to create a Golden Spiral, followed by Golden Circles. Golden Rat...
To construct AGEM fields, we used more than 7000 temperature and salinity profiles from the near sea surface (10 dbar) to a pressure level of 1000 dbar (equivalent to a depth of approximately 1000 m) collected for each month by Argo floats (Advanced automatic QC Argo Data version 1.2) ...
High-velocity stars and peculiar G objects orbit the central supermassive black hole (SMBH) Sagittarius A* (Sgr A*). Together, the G objects and high-velocity stars constitute the S cluster. In contrast with theoretical predictions, no binary system near Sgr A* has been identified. Here, we...