We show three use cases of 4D dynamical systems from cell biology and biochemistry.
We offer an additional dissected view of trajectories that relies on small‐multiple compass‐alike pictograms for easy navigation across subspaces and trajectory segments of interest. The Lands are also linked to 1D TimeLines. By describing the subspaces as Lands, we accompany domain scientists along a continuous journey through 4D HyperLand, 3D SpaceLand, and 2D FlatLand, using seamless transitions. We propose ManyLands to support mathematical domain scientists in analyzing 4D models of biological systems. However, for 4D, the visual exploration of trajectories becomes challenging, as simple subspace juxtaposition is not sufficient. These plots are called phase portraits and they perform well for 2D and 3D dynamical systems. Currently, mathematical domain scientists use plots of typical trajectories in the phase space to analyze the qualitative behavior of dynamical systems. These models are dynamical systems that often describe the time evolution of more than three variables, i.e., their dynamics take place in a multi‐dimensional space, called the phase space. Thanks everyone for suggestions & feedback.Mathematical models of ordinary differential equations are used to describe and understand biological phenomena. + Holders have a new attribute: Opens Last Page! This will immediately switch a holder to the last page when opened. + Ground Mountables have the new attribute "No End Fall Off" (similar to what Flying Mountables already had)! Thanks Fabric! + We've increased the max number of static/ movable items you can include in Multis from 250 to 1000 each! Thanks Rose!
+ The types Lively, Instrument, Interactive Environment and Helper can now also be set to Clonable! (We now have a system where we could add more attributes to those formerly "select one only" types, so let us know if you need any other attributes for these types.) Thanks Isaacool & everyone! + Pasting Discord images with underscores now works! Thanks Kodix! + There's a new Multi attribute: No Dust Trails! Thanks Rose! + You can now right-click while holding a Liner to clear your lines! Thanks Skittle! Hi everyone! Here's what's new in the latest update: Hope you enjoy! And thanks everyone for being in Manyland! + There's new sounds! Check out the Misc board for more. + The new Speedinfo! command shows you frame rates, sector boundaries (neighboring sectors of the one you're in are always pre-loaded), how many different items are loaded and more! Hope it's useful! + Ctrl+Q now takes you to your home area! Thanks Aaron Nitori & Pomello! + Outer Ring locations now also show in the Friends list, along with the people count and a link to teleport there! Thanks Skittle! + We added the Clonable attribute to the types Place Name, Changing Harmful, Deadly, Deadly Moving and Deadly Emerging! Thanks Skittle & Isaacool! + There's two new Wearable attributes: Grab Resistant and Transport Resistant! Thanks Skittle! + To lessen the "mini freezes," the server stability restart frequency has been reduced to once every 3 hours! Thanks everyone! + You can now hold back an instrument note by pressing Ctrl, to be played as a chord next time you hit a note normally! + We fixed the "Someone dies" command! Thanks P.D. and now there's also a new "Set Writable Color" option to override the background and text color! Thanks Isaac! + As of recently, you can open Writables via Mediums. "+0.5: cell 1 show"! Thanks Cyel & everyone! + Timing in Dynamics can now also be provided relative to the last value by using "+", e.g. + You can now hold Ctrl (on the desktop version) to open the motion/ possessions bar even while on Walkables! Thanks Grand! + There's a new attribute for Crumblings: Crumble Upwards! Hat tip to Rose! + There's a new "Crumble Instantly" attribute for Crumbling blocks! Thanks Oxygen! + Climbables and Walkables have new speed attributes (and optionally, only in the downwards direction)! Thanks Isaac! + You can now enable vertical symmetry in Painter by hitting Shift+S (or clicking the new menu entry)! Thanks Oxygen & everyone! Hi everyone! There's been many new features recently:
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