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The Hypixel server was released in beta on April 13, 2013, by Simon Collins-Laflamme, and Philippe Touchette. The server is managed and run by Hypixel Inc. [4] [7] [8] The two originally created Minecraft adventure maps together [5] and uploaded trailers to their YouTube channel. The Hypixel server was created to play and further showcase these ...
When the key col for a peak is close to the peak itself, prominence is easily computed by hand using a topographic map. However, when the key col is far away, or when one wants to calculate the prominence of many peaks at once, software can apply surface network modeling to a digital elevation model to find exact or approximate key cols. [8] [9]
Hytale is being developed by Hypixel Studios for PC, consoles, and mobile devices. [1] [5] [6] The client was initially developed in C# with the server technology in Java, [7] but by 2022 both the client and server were rewritten in C++ for easier cross-platform release and better performance. [8]
Mountains is an image analysis and surface metrology software platform published by the company Digital Surf.Its core is "micro-topography", the science of studying surface texture and form in 3D at the microscopic scale.
For example, consider mapping opposite points on a sphere to the same point, a continuous map from the sphere covering the projective plane. A path in the projective plane is a continuous map from the unit interval [0,1]. We can lift such a path to the sphere by choosing one of the two sphere points mapping to the first point on the path, then ...
Two maps , are called homotopic relative to A if they are homotopic by a basepoint-preserving homotopy : [,] such that, for each p in and t in [,], the element (,) is in A. Note that ordinary homotopy groups are recovered for the special case in which A = { x 0 } {\displaystyle A=\{x_{0}\}} is the singleton containing the base point.
The category of topological spaces Top has topological spaces as objects and as morphisms the continuous maps between them. The older definition of the homotopy category hTop, called the naive homotopy category [1] for clarity in this article, has the same objects, and a morphism is a homotopy class of continuous maps.