FeaturesHow it works

capabilities · for engineers

Math that checks its own units.

Mathora is a calculation workspace built for engineers. Units travel with every number, dimensions are checked as you work, and changing one value updates everything that depends on it.

Get started See how it works
Projectile trajectory

v₀ = 24 ms

θ = 38 °

g = 9.80665 ms²

tflight = 3.01 s

R = 57.0 m

hmax = 11.1 m

Click any blue unit to change it. Values stay equivalent.

why engineers

Built around how engineering is actually done.

Units travel with the number.

Write 25 °C, 1.5e-3 km or 120 lbf. The unit stays attached through every step, so nothing is lost in translation.

Errors surface where they start.

Adding force to length is flagged on the line that caused it, not three steps later in a report.

Standards by default.

Domain profiles give ambiguous symbols the meaning your discipline expects, and say so when they can't decide.

01 — UNIT_AWARE

Units are part of the number.

Type quantities the way you would write them on paper. Mathora reads SI, US customary, temperatures and compound units, including the many ways engineers abbreviate them.

Prefixes
Full SI set, plus binary IEC prefixes such as KiB
Compound
kg·m/s², m^2, cm^-3, per, parentheses
Notation
Scientific magnitudes like 1.5e-3 or 2.4E+8
Spelling
Words and symbols map to the same unit
parse● 5 recognised
  • kg·m/s²N · newton
  • 1.5e-3 km1.5 m
  • µs · us · microsecond10⁻⁶ s
  • 25 °C298.15 K
  • 1 KiB vs 1 kBnot equal

02 — CONVERT_IN_PLACE

Click a unit. Keep the quantity.

Every unit in a result is a control. Pick another from the list of compatible units and the value is rewritten. The physical quantity stays the same everywhere it appears.

Scope
Only units with matching dimensions are offered
Temperatures
°C, °F and K convert as offsets, not ratios
Pressure
Gauge and absolute pressure are kept distinct
Display
Auto, fixed decimals, scientific or engineering notation
F := 120 lbfclick a unit

F = 120

force · 6 compatible
  • Nnewton
  • kNkilonewton
  • lbfpound-force ✓
  • kipkilopound
  • kgfkilogram-force
  • dyndyne

F = 533.8 N same force, new unit

03 — DIM_CHECK

Wrong units fail loudly.

Mathora checks the physics on every line. Adding length to time, or converting mass to length, is stopped where it happens, with both dimensions spelled out so the fix is obvious.

Checks
Addition, subtraction, conversion and comparison
Messages
Names the dimensions involved, such as [mass] and [length]
Temperatures
Strict mode rejects °C + °C; delta mode treats it as a difference
sheet · 4 lines2 errors
  • ✓
    E = 2 kg · (3e8 m/s)²

    1.8e17 J

    energy · consistent

  • !
    total = 3 m + 2 s

    Cannot add [length] and [time].

  • !
    m → m³

    Cannot convert kg [mass] to m [length].

  • !
    T = 25 °C + 5 °C

    Strict: two absolute temperatures can't be added.

    use delta mode for a difference

04 — LIVE_FORMULAS

Define it once. Everything follows.

Build worksheets the Mathcad way. Name a quantity with its unit, reuse it in later formulas, and let dependencies recalculate in order. Change one input and every result downstream updates.

Definitions
Symbol, magnitude and unit bound together
Recalculation
Dependency order, like a spreadsheet
Display units
Each result can show a different unit for the same value
worksheet● all good
F := 120 lbfdefinition
A := 2 in²definition
σ := F / A60 psiuses F, A
σ in kPa413.7 kPadisplay unit

Edit A to 4 in² → σ becomes 30 psi everywhere it is used.

05 — NO_SILENT_GUESSES

No silent guesses.

Some symbols mean different things in different fields. hp, ton and cal are resolved by your profile, or you are asked, rather than quietly guessed.

hp
Mechanical, metric or electric horsepower
ton
Short, long or metric
cal
IT or thermochemical
Policy
Error by default; first match only when you opt in
ambiguous symbolsresolved by profile
  • hpmeans?
    mechanical 745.7 Wmetric 735.5 Welectric 746 W
  • calmeans?
    IT (default)thermochemical
  • tonmeans?
    shortlongmetric

Still unclear? Mathora asks instead of guessing.

06 — DOMAIN_PROFILES

Speak your industry's units.

Choose a domain profile and Mathora adopts its conventions: how ambiguous symbols resolve, and which units a result prefers. The same stress reads in psi for US mechanical work and kPa in SI.

Profiles
16, from SI and US mechanical to HVAC, petroleum, aviation and medical
Preferred units
Results pick the unit that gives the clearest magnitude
Domain packs
Units grouped by discipline, from mechanical and electrical to fluid and radiation
domain profile16 available
SIUS mechanicalImperial UKMetric EUChemistryElectricalHVACPetroleumAviationRadiationAstronomyComputingCookingNutritionTypographyMedical

SI (default)

σ = 413.7 kPa

US mechanical

σ = 60 psi

07 — THREE_CANVASES

Three ways to see a sheet.

Pageless for exploring, Paper for printing and Node for seeing how values connect. It is the same sheet with the same numbers, in three views.

Pageless
Infinite canvas with pan and zoom
Paper
Letter or A4, with margins from narrow (0.5 in) to wide
Node
Dependencies drawn as a graph you can follow
Pageless

infinite canvas

Paper

Letter · A4

Node

dependency graph

08 — REALTIME

Work on the same sheet. Live.

Share a sheet by email or by link, as an editor or a viewer. See who is here, where their cursor is and what they are typing, as the changes happen.

Sharing
By email, or anyone with the link
Roles
Editors change the sheet; viewers look, pan and select
Presence
Avatars, named live cursors and typing labels
Scale
Designed for up to ten people on one sheet
shared · editorMKJDAL+7

Q = 4.2 kg/s

Maya is editing…

ΔT = 18 K

Jordan selected 2 lines
Maya
Jordan
name@company.comInvite · editor

09 — WORKSPACE

Your sheets, in order. Yours to keep.

Folders, search, stars and recent sheets, all in one place. Deleted sheets wait in the trash for 30 days. Any sheet exports to JSON and imports back when you need it.

Views
Grid or list, with nested folders and drag and drop
Finding
Search, sort, starred and recently opened
Trash
Restore anything within 30 days
Files
Export and import sheets as .json
search projectsgrid · list

Heat exchanger

in thermal

Beam deflection

in structures

Pump curve

in fluids

heat-exchanger.mathora.json

export · import anytime

Trash · 2 items

restore within 30 days

Start your first sheet.

Start a sheet, type your first quantity, and let Mathora keep every unit consistent.

Get started