# sim-lib-view-math
In one line: it turns numbers, scalar fields, matrices, and formulas into bounded plots and grids you can see and adjust.
## What it gives you
This lens family makes math visual and hands-on. Bounded scalar fields become masked heatmap Scenes with an honest detector label and advisory; the generic view refuses oversized input instead of guessing how a scientific domain should reduce it. Detail means the caller kept its source cells. Detector integration means the owning domain already combined every covered source cell under a declared rule. The math view validates either prepared grid but never turns one into the other or invents evidence for it. Numeric series and functions become plots you can read at a glance. Matrices and tensors open as editable grids, so you can change a slice and see the effect. A symbolic formula shows as a tree you can explore. Sliders and knobs let you sweep a parameter and watch the result move, then snapshot a setting and compare it against another. Throughout, the display reads numbers from SIM's own number kinds, while the runtime value stays the single source of truth -- so what you tweak on screen is the same number the system actually holds.
## Why you will be glad
- You see a series or a function as a plot instead of a wall of digits.
- You carry a masked scalar grid to the surface without hiding how it was sampled or reduced.
- You edit a matrix cell or sweep a slider and watch the outcome update.
- You snapshot one setting and compare it against another to judge the difference.
## Where it fits
This is the mathematics corner of the SIM browser workspace. It renders numeric and symbolic values into plots, grids, and trees through the shared scene format, and sends your adjustments back as checked edits. Leaning on SIM's number kinds for display and the view stack for selection, it lets you explore quantitative work the same way you explore everything else in the workspace.