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Lothar Vs. Star Walk 2: Stars and Planets

Lothar vs Star Walk 2: Stars and Planets Usage & Stats

Lothar Collatz was born 6 July 1910 in Amsberg, Westphalia. During his post-doctoral studies at at the age of 27, Collatz developed what is now known as the Collatz Conjecture. Simply stated, the Collatz Conjecture is as follows: Given the function f, defined as: | n÷2 if n ≡ 0 (mod 2) f(n) = | 3×n + 1 if n ≡ 1 (mod 2) | for any positive starting integer n, repeated iterations of this function will always lead to the cycle { 4, 2, 1 }. In other words, repeated iterations of some starting number will always be eventually decreasing and that there are no other cycles in the sequence besides { 4, 2, 1 }. The Reverse function, f', is defined as the sequence moving backward from an ending integer through to some initial starting integer that would eventually arrive at the number entered through a series of iterations. It is defined as follows: | n×2 if n ≡ 0, 1, 2, 3, 5 (mod 6) f'(n) = | (n - 1)÷3 if n ≡ 4 (mod 6) & "Previous" pressed | n×2 if n ≡ 4 (mod 6) & "Multiply" pressed This application was written by Jeffrey C. Jacobs and is Copyright ©2010 TimeHorse, LLC; source code is available upon request.

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Star Walk 2: Stars and Planets

Star Walk 2 is an exquisite stargazing app enabling you to explore the night sky through the screen of your device. Make an effortless journey through thousands of stars, comets, constellations, and other celestial bodies. All you have to do is point your device to the sky! ⁕ BEST OF 2014: The next generation of the best-selling Star Walk, winner of Apple Design Award, used by over 10 million people ⁕ The app taps your device’s sensors and the GPS to determine the exact position of stars, planets, constellations, comets, ISS, satellites, meteor showers, etc., in the night sky. “She’s a beauty.”- The Next Web “Star Walk 2 is a terrific introduction to astronomy for young and old. It’s also handy for serious stargazers for observing planning.” - TUAW “Star Walk 2 is visually stunning.” - PCmag “This is a very beautiful and unusual application that turns your phone into a real planetarium.” - Free apps for me “For those who enjoy the original app, Star Walk 2 is worth the upgrade — the interface is gorgeous. Anyone with even a passing interest in astronomy should grab Star Walk 2.” - iLounge “It is worth every penny.” - PadGadget Star Walk 2 in travel & tourism industry: ‘Rapa Nui Stargazing’ based on Easter Island uses Star Walk 2 for sky observations during its astronomical tours. ‘Nakai Resorts Group’ in the Maldives uses Star Walk 2 during astronomy meetings for its guests. Main features: ◆ Map of the sky in real time ◆ Stunning 3D models of constellations and other sky objects ◆ “Time machine” ◆ Deep sky objects ◆ Info about celestial bodies and sky events ◆ The sky at different wavelengths ◆ Augmented reality mode ◆ Night mode ◆ "What's new" section with the latest astronomical news ◆ "Visible Tonight" section ► Star Walk 2 shows the real-time map of the sky on your screen in whatever direction you are pointing the device. As you hold your phone up and point it towards the sky, the star map follows your motions using the built-in gyroscope to match the map on your screen to the stars seen from your location. ► What's up in the sky tonight? Open the "Visible Tonight" section of Star Walk 2 and quickly find out all upcoming astronomical events and celestial objects visible for your location. ► Be aware of the latest news from the world of space and astronomy. The app's "What's new" section will tell you about the most outstanding celestial events in time. ► Touching a clock-face icon at the upper-right corner of the screen allows you to select any date and time and watch the sky of different periods. ► Get a deeper understanding of the constellation`s scale and place in the night sky. Enjoy observing wonderful 3D models of constellations, turn them upside down, read their stories. ► Find and study deep sky objects such as meteor showers, planetary nebulae, star clusters, etc. ► The night-mode will make your stargazing at night time more comfortable. Star Walk 2 is the sequel to the original Star Walk, which is one of the most popular apps for stargazing. New in Star Walk 2: -Incredible 3D models of celestial bodies -All-new stunning design -New interface in vibrant colours for retina displays -Atmospheric visual and sound effects, stirring soundtrack -Exclusive handcrafted artwork for constellations The app contains In-App Purchases. If you enjoy exploring the stars, then our app is a must-have for your arsenal. Start your best stargazing experience right now!