Cakey Bot
Search…
Cakey Bot
Cakey Bot
Setup
Setup
FAQ
Troubleshooting
Placeholders/Variables
Localization (Multi-Language)
Changelists
Planned Features
Changelist - 2022
Changelist - 2021
Changelist - 2020
Changelist - 2019
Core
Command Info
Command List
Web Dashboard
Overview
Setup/Login
Music
Basic Usage
Playlists
Filters & Presets
Supported Sources
Song Request Channel
Special Permissions/Conditions
Tool & Utilities
AFK Messages
Audit Log
Auto Moderation
Auto Responder
Auto Role
Custom Commands
Join/Leave/Ban Announcements
Social Feeds
Moderation
Persistent Roles/Mutes
Reminders
Self Roles/Reaction Roles
Support Ticket System
Tags
Verification Role
Other/Misc
Math Command
Powered By GitBook
Math Command
This page is only used as a general overview and guide of the features in the !math command. There may be functions, variables or expressions that will work but are not listed below.

Numbers

  • Binary
  • Octal
  • Hexadecimal
  • Unary
  • Unary Zero
  • Base 1-36 Literals
  • Base N

Random Numbers

Functions

  • Uniform Continuous Distribution
  • Uniform Discrete Distribution
  • Normal Distribution
  • User Provided List

Variables

  • Integer
  • Integer N (-10^k <= N <= 10^k for k = 1, 2, ...,9)
  • Natural
  • Natural N (N <= 10^k for k = 1, 2, ...,9)
  • Uniform Continuous Distribution U(0,1)
  • Normal Distribution N(0,1)

Units

  • Length
  • Distance
  • Information (Kb, Mb, Gb, etc)
  • Volume
You can find a list of supported units here.

Operators

General

  • SIGMA Summation
  • PI Product

Bitwise

  • Unary
  • AND
  • Exclusive OR
  • Inclusive OR
  • Signed Left/Right Shift

Functions

  • Unary
  • Binary
  • Conditional
  • n-argument
  • Primality test
  • Primes Count
  • Prime Factorization
  • Standard Deviation
  • Mean Estimation
  • Variance Estimation
  • Probability Distribution
  • Cumulative Distribution
  • Binary Relation "="
  • Binary Relation "<" & ">"
  • Boolean Operator "OR"
  • Boolean Operator "AND"

Derivatives

  • General
  • Left/Right
  • Complex Function (Including alternative syntaxs)
  • Integrals

Supported Metric Prefixes

  • [Y] (4.0) Septillion / Yotta = 10^24
  • [sept] (4.0) Septillion / Yotta = 10^24
  • [Z] (4.0) Sextillion / Zetta = 10^21
  • [sext] (4.0) Sextillion / Zetta = 10^21
  • [E] (4.0) Quintillion / Exa = 10^18
  • [quint] (4.0) Quintillion / Exa = 10^18
  • [P] (4.0) Quadrillion / Peta = 10^15
  • [quad] (4.0) Quadrillion / Peta = 10^15
  • [T] (4.0) Trillion / Tera = 10^12
  • [tril] (4.0) Trillion / Tera = 10^12
  • [G] (4.0) Billion / Giga = 10^9
  • [bil] (4.0) Billion / Giga = 10^9
  • [M] (4.0) Million / Mega = 10^6
  • [mil] (4.0) Million / Mega = 10^6
  • [k] (4.0) Thousand / Kilo = 10^3
  • [th] (4.0) Thousand / Kilo = 10^3
  • [hecto] (4.0) Hundred / Hecto = 10^2
  • [hund] (4.0) Hundred / Hecto = 10^2
  • [deca] (4.0) Ten / Deca = 10
  • [ten] (4.0) Ten / Deca = 10
  • [deci] (4.0) Tenth / Deci = 0.1
  • [centi] (4.0) Hundredth / Centi = 0.01
  • [milli] (4.0) Thousandth / Milli = 0.001
  • [mic] (4.0) Millionth / Micro = 10^-6
  • [n] (4.0) Billionth / Nano = 10^-9
  • [p] (4.0) Trillionth / Pico = 10^-12
  • [f] (4.0) Quadrillionth / Femto = 10^-15
  • [a] (4.0) Quintillionth / Atoo = 10^-18
  • [z] (4.0) Sextillionth / Zepto = 10^-21
  • [y] (4.0) Septillionth / Yocto = 10^-24

Supported Constants

  • pi Pi, Archimedes' constant or Ludolph's number
  • e Napier's constant, or Euler's number, base of Natural logarithm
  • [gam] Euler-Mascheroni constant
  • [phi] Golden ratio
  • [PN] Plastic constant
  • [B*] Embree-Trefethen constant
  • [F'd] Feigenbaum constant alfa
  • [F'a] Feigenbaum constant delta
  • [C2] Twin prime constant
  • [M1] Meissel-Mertens constant
  • [B2] Brun's constant for twin primes
  • [B4] Brun's constant for prime quadruplets
  • [BN'L] de Bruijn-Newman constant
  • [Kat] Catalan's constant
  • [K*] Landau-Ramanujan constant
  • [K.] Viswanath's constant
  • [B'L] Legendre's constant
  • [RS'm] Ramanujan-Soldner constant
  • [EB'e] Erdos-Borwein constant
  • [Bern] Bernstein's constant
  • [GKW'l] Gauss-Kuzmin-Wirsing constant
  • [HSM's] Hafner-Sarnak-McCurley constant
  • [lm] Golomb-Dickman constant
  • [Cah] Cahen's constant
  • [Ll] Laplace limit
  • [AG] Alladi-Grinstead constant
  • [L*] Lengyel's constant
  • [L.] Levy's constant
  • [Dz3] Apery's constant
  • [A3n] Mills' constant
  • [Bh] Backhouse's constant
  • [Pt] Porter's constant
  • [L2] Lieb's square ice constant
  • [Nv] Niven's constant
  • [Ks] Sierpinski's constant
  • [Kh] Khinchin's constant
  • [FR] Fransen-Robinson constant
  • [La] Landau's constant
  • [P2] Parabolic constant
  • [Om] Omega constant
  • [MRB] MRB constant
  • [li2] (2.3) li(2) - logarithmic integral function at x=2
  • [EG] (2.3) Gompertz constant
  • [ c] (4.0) Light speed in vacuum [m/s] (m=1, s=1)
  • [G.] (4.0) Gravitational constant (m=1, kg=1, s=1)]
  • [g] (4.0) Gravitational acceleration on Earth [m/s^2] (m=1, s=1)
  • [hP] (4.0) Planck constant (m=1, kg=1, s=1)
  • [h-] (4.0) Reduced Planck constant / Dirac constant (m=1, kg=1, s=1)]
  • [lP] (4.0) Planck length [m] (m=1)
  • [mP] (4.0) Planck mass [kg] (kg=1)
  • [tP] (4.0) Planck time [s] (s=1)
  • [ly] (4.0) Light year [m] (m=1)
  • [au] (4.0) Astronomical unit [m] (m=1)
  • [pc] (4.0) Parsec [m] (m=1)
  • [kpc] (4.0) Kiloparsec [m] (m=1)
  • [Earth-R-eq] (4.0) Earth equatorial radius [m] (m=1)
  • [Earth-R-po] (4.0) Earth polar radius [m] (m=1)
  • [Earth-R] (4.0) Earth mean radius (m=1)
  • [Earth-M] (4.0) Earth mass [kg] (kg=1)
  • [Earth-D] (4.0) Earth-Sun distance - semi major axis [m] (m=1)
  • [Moon-R] (4.0) Moon mean radius [m] (m=1)
  • [Moon-M] (4.0) Moon mass [kg] (kg=1)
  • [Moon-D] (4.0) Moon-Earth distance - semi major axis [m] (m=1)
  • [Solar-R] (4.0) Solar mean radius [m] (m=1)
  • [Solar-M] (4.0) Solar mass [kg] (kg=1)
  • [Mercury-R] (4.0) Mercury mean radius [m] (m=1)
  • [Mercury-M] (4.0) Mercury mass [kg] (kg=1)
  • [Mercury-D] (4.0) Mercury-Sun distance - semi major axis [m] (m=1)
  • [Venus-R] (4.0) Venus mean radius [m] (m=1)
  • [Venus-M] (4.0) Venus mass [kg] (kg=1)
  • [Venus-D] (4.0) Venus-Sun distance - semi major axis [m] (m=1)
  • [Mars-R] (4.0) Mars mean radius [m] (m=1)
  • [Mars-M] (4.0) Mars mass [kg] (kg=1)
  • [Mars-D] (4.0) Mars-Sun distance - semi major axis [m] (m=1)
  • [Jupiter-R] (4.0) Jupiter mean radius [m] (m=1)
  • [Jupiter-M] (4.0) Jupiter mass [kg] (kg=1)
  • [Jupiter-D] (4.0) Jupiter-Sun distance - semi major axis [m] (m=1)
  • [Saturn-R] (4.0) Saturn mean radius [m] (m=1)
  • [Saturn-M] (4.0) Saturn mass [kg] (kg=1)
  • [Saturn-D] (4.0) Saturn-Sun distance - semi major axis [m] (m=1)
  • [Uranus-R] (4.0) Uranus mean radius [m] (m=1)
  • [Uranus-M] (4.0) Uranus mass [kg] (kg=1)
  • [Uranus-D] (4.0) Uranus-Sun distance - semi major axis [m] (m=1)
  • [Neptune-R] (4.0) Neptune mean radius [m] (m=1)
  • [Neptune-M] (4.0) Neptune mass [kg] (kg=1)
  • [Neptune-D] (4.0) Neptune-Sun distance - semi major axis [m] (m=1)

Supported Units

  • ulp (3.0) Unit in The Last Place - ulp(0.1)
  • [au] (4.0) Astronomical unit [m] (m=1)
  • [%] (4.0) Percentage = 0.01
  • [%%] (4.0) Promil, Per mille = 0.001
  • [Y] (4.0) Septillion / Yotta = 10^24
  • [sept] (4.0) Septillion / Yotta = 10^24
  • [Z] (4.0) Sextillion / Zetta = 10^21
  • [sext] (4.0) Sextillion / Zetta = 10^21
  • [E] (4.0) Quintillion / Exa = 10^18
  • [quint] (4.0) Quintillion / Exa = 10^18
  • [P] (4.0) Quadrillion / Peta = 10^15
  • [quad] (4.0) Quadrillion / Peta = 10^15
  • [T] (4.0) Trillion / Tera = 10^12
  • [tril] (4.0) Trillion / Tera = 10^12
  • [G] (4.0) Billion / Giga = 10^9
  • [bil] (4.0) Billion / Giga = 10^9
  • [M] (4.0) Million / Mega = 10^6
  • [mil] (4.0) Million / Mega = 10^6
  • [k] (4.0) Thousand / Kilo = 10^3
  • [th] (4.0) Thousand / Kilo = 10^3
  • [hecto] (4.0) Hundred / Hecto = 10^2
  • [hund] (4.0) Hundred / Hecto = 10^2
  • [deca] (4.0) Ten / Deca = 10
  • [ten] (4.0) Ten / Deca = 10
  • [deci] (4.0) Tenth / Deci = 0.1
  • [centi] (4.0) Hundredth / Centi = 0.01
  • [milli] (4.0) Thousandth / Milli = 0.001
  • [mic] (4.0) Millionth / Micro = 10^-6
  • [n] (4.0) Billionth / Nano = 10^-9
  • [p] (4.0) Trillionth / Pico = 10^-12
  • [f] (4.0) Quadrillionth / Femto = 10^-15
  • [a] (4.0) Quintillionth / Atoo = 10^-18
  • [z] (4.0) Sextillionth / Zepto = 10^-21
  • [y] (4.0) Septillionth / Yocto = 10^-24
  • [m] (4.0) Metre / Meter (m=1)
  • [km] (4.0) Kilometre / Kilometer (m=1)
  • [cm] (4.0) Centimetre / Centimeter (m=1)
  • [mm] (4.0) Millimetre / Millimeter (m=1)
  • [inch] (4.0) Inch (m=1)
  • [yd] (4.0) Yard (m=1)
  • [ft] (4.0) Feet (m=1)
  • [mile] (4.0) Mile (m=1)
  • [nmi] (4.0) Nautical mile (m=1)
  • [m2] (4.0) Square metre / Square meter (m=1)
  • [cm2] (4.0) Square centimetre / Square centimeter (m=1)
  • [mm2] (4.0) Square millimetre / Square millimeter (m=1)
  • [are] (4.0) Are (m=1)
  • [ha] (4.0) Hectare (m=1)
  • [acre] (4.0) Acre (m=1)
  • [km2] (4.0) Square kilometre / Square kilometer (m=1)
  • [mm3] (4.0) Cubic millimetre / Cubic millimeter (m=1)
  • [cm3] (4.0) Cubic centimetre / Cubic centimeter (m=1)
  • [m3] (4.0) Cubic metre / Cubic meter (m=1)
  • [km3] (4.0) Cubic kilometre / Cubic kilometer (m=1)
  • [ml] (4.0) Millilitre / Milliliter (m=1)
  • [l] (4.0) Litre / Liter (m=1)
  • [gall] (4.0) Gallon (m=1)
  • [pint] (4.0) Pint (m=1)
  • [s] (4.0) Second (s=1)
  • [ms] (4.0) Millisecond (s=1)
  • [min] (4.0) Minute (s=1)
  • [h] (4.0) Hour (s=1)
  • [day] (4.0) Day (s=1)
  • [week] (4.0) Week (s=1)
  • [yearj] (4.0) Julian year = 365.25 days (s=1)
  • [kg] (4.0) Kilogram (kg=1)
  • [gr] (4.0) Gram (kg=1)
  • [mg] (4.0) Milligram (kg=1)
  • [dag] (4.0) Decagram (kg=1)
  • [t] (4.0) Tonne (kg=1)
  • [oz] (4.0) Ounce (kg=1)
  • [lb] (4.0) Pound (kg=1)
  • [b] (4.0) Bit (bit=1)
  • [kb] (4.0) Kilobit (bit=1)
  • [Mb] (4.0) Megabit (bit=1)
  • [Gb] (4.0) Gigabit (bit=1)
  • [Tb] (4.0) Terabit (bit=1)
  • [Pb] (4.0) Petabit (bit=1)
  • [Eb] (4.0) Exabit (bit=1)
  • [Zb] (4.0) Zettabit (bit=1)
  • [Yb] (4.0) Yottabit (bit=1)
  • [B] (4.0) Byte (bit=1)
  • [kB] (4.0) Kilobyte (bit=1)
  • [MB] (4.0) Megabyte (bit=1)
  • [GB] (4.0) Gigabyte (bit=1)
  • [TB] (4.0) Terabyte (bit=1)
  • [PB] (4.0) Petabyte (bit=1)
  • [EB] (4.0) Exabyte (bit=1)
  • [ZB] (4.0) Zettabyte (bit=1)
  • [YB] (4.0) Yottabyte (bit=1)
  • [J] (4.0) Joule (m=1, kg=1, s=1)
  • [eV] (4.0) Electronovolt (m=1, kg=1, s=1)
  • [keV] (4.0) Kiloelectronovolt (m=1, kg=1, s=1)
  • [MeV] (4.0) Megaelectronovolt (m=1, kg=1, s=1)
  • [GeV] (4.0) Gigaelectronovolt (m=1, kg=1, s=1)
  • [TeV] (4.0) Teraelectronovolt (m=1, kg=1, s=1)
  • [m/s] (4.0) Metre / Meter per second (m=1, s=1)
  • [km/h] (4.0) Kilometre / Kilometer per hour (m=1, s=1)
  • [mi/h] (4.0) Mile per hour (m=1, s=1)
  • [knot] (4.0) Knot (m=1, s=1)
  • [m/s2] (4.0) Metre / Meter per square second (m=1, s=1)
  • [km/h2] (4.0) Kilometre / Kilometer per square hour (m=1, s=1)
  • [mi/h2] (4.0) Mile per square hour (m=1, s=1)
  • [rad] (4.0) Radian (rad=1)
  • [deg] (4.0) Degree of arc (rad=1)
  • ['] (4.0) Minute of arc (rad=1)
  • [''] (4.0) Second of arc (rad=1)
Tool & Utilities - Previous
Verification Role
Last modified 2yr ago
Copy link
Edit on GitHub
Contents
Numbers
Random Numbers
Units
Operators
Functions
Derivatives
Supported Metric Prefixes
Supported Constants
Supported Units