NeoFermi

Distribution Syntax

1 to 10 m            # Lognormal (68% CI)
1 .. 10 m            # Uniform distribution
1 thru 10 m          # Uniform (alternate)
100 +- 5 kg          # Normal (mean ± sigma)
100 pm 5 kg          # Normal (alternate)
3 of 10              # Beta (3 successes, 10 trials)
3 against 7          # Beta (3 wins, 7 losses)
{365, 366} day       # Equal-weighted set
{365: 303, 366: 97}  # Weighted set (dict-style)
100 * 10%            # Twiddle by ±10%
100 * 0db            # Twiddle by factor of 2
100 * -10db          # Twiddle by order of magnitude

Scale-word ranges

Scale words on one side of a range expand onto the bare side:

1 to 2 million       # 1e6 to 2e6
1 .. 2 billion USD   # uniform 1e9 to 2e9 USD
1 +/- 2 million      # normal mean 1e6, sigma 2e6

Sig-Fig Numbers

'3.14                # Uniform(3.135, 3.145)
'130                 # Uniform(125, 135)
'130.                # Uniform(129.5, 130.5)
'1.3e6 m             # With units

Unit Conversion

100 meters as feet       # Convert to specific unit
x -> km                  # Alternative syntax
100 miles as SI          # Convert to SI base units
98.6 degF as degC        # Affine (offset) conversions
1 feet / 1 mm as feet/mm # Keep a dimensionless ratio in compound form
1 feet^3/mm^3            # Powered numerators in compound units

Results are displayed in SI units by default. Ratios of same-dimension units (e.g. 1 feet / 1 mm) collapse to a dimensionless number unless you re-express them via as.

Extended unit catalog

calorie, kcal, Cal   # Energy (thermochemical; Cal = kcal)
parsec, lightyear    # Astronomy (aliases: pc, ly, kpc)
barn                 # Cross-section (1e-28 m^2)
knot                 # Speed (nautical mile / hour)
atm, hp, kWh         # Pressure, power, energy
USD, EUR, GBP, JPY,  # Currencies (USD is base)
CNY, INR, CAD, AUD,
CHF, MXN, BRL, KRW

Inflation-adjusted dollars

dollars_1960         # $1 in 1960 (also dollars1960)
100 dollars_1960 as USD       # present-day equivalent
1 dollars_1980 + 1 dollars_2020 as USD  # mixes fine

Years 1913–present, based on annual-average US CPI-U. Anchor is the latest monthly CPI, so "as USD" gives today's purchasing power.

Dates & Durations

#2026-04-16#                          # Date literal
#2026-04-16T12:30#                    # With time (optional :ss)
#2027-01-01# - #2026-01-01#           # Duration (365 day)
(#2026-04-17# - #2026-04-16#) as hour # Convert duration to hours

Variables

x = 10 to 100 meters
y = x * 2
area = x * y

Distribution Functions

lognormal(1, 100)    # Positive values
normal(-10, 10)      # Any values
uniform(0, 1)        # Flat distribution
outof(7, 10)         # Beta for proportions
gamma(2, 5)          # Shape/scale parameters
poisson(5)           # Count data (events)
exponential(0.5)     # Waiting times (rate)
binomial(10, 0.5)    # n trials, p success

Operators & Comments

+ - * / ^   # comment

Custom Units

100 'widgets         # Use custom unit
1 'widget = 5 kg     # Define custom unit
10 'widget           # Now equals 50 kg

Constants

# Physics
c, h, hbar, G, k     # Fundamentals
M_earth, R_earth     # Earth
M_sun, AU, ly, pc    # Astronomical

# Time
year, month, day     # As distributions
seconds_per_year     # Exact conversions

# Population & Economics
world_population     # ~8.2 billion
us_gdp, world_gdp    # With uncertainty
us_median_income

# Computing
cpu_transistors      # Modern CPU
internet_users
google_searches_per_day

Keyboard Shortcuts

Shift+Enter          # Run current cell
Ctrl/Cmd+Enter       # Run all cells
Ctrl/Cmd+S           # Export as JSON
Ctrl/Cmd+O           # Import file
Ctrl/Cmd+N           # New cell
Escape               # Unfocus cell