about canonical physical, temporal, linguistic, and mathematical representations that reduce reasoning and conversion complexity. part of representational reasoning.
units and what they can be replaced by.
fahrenheit (celsius °c), rankine (kelvin × 1.8)
fluid ounce (30 ml), cup (250 ml), pint (500 ml), quart (1 l), gallon (us 4 l, uk 5 l), barrel (100 l)
ounce (28 g), pound (0.5 kg), stone (6 kg), ton (1 mg), slug (14.5939 kg)
inch (2.5 cm), foot (30 cm), yard (1 m), mile (1.6 km), nautical mile (2 km), astronomical unit (150 gm), light year (9 pm), parsec (31 pm), ångström (1×10⁻¹⁰ m)
minute (~~ hectosecond), hour (~~ kilosecond), foot per second (0.3048 m/s)
kilocalorie (0.0042 mj), calorie (4.184 j), erg (1×10⁻⁷ j), foot-pound (1.4 j), foot-pound-force (1.3558 j), btu (1 kj)
dyne (1×10⁻⁵ n), pound-force (4.448 n)
octet (8 bits), megabyte (8×10⁶ bits), terabyte (8×10¹² bits), mebibit (1,048,576 bits), kibibyte (8192 bits)
psi (7 kpa), atm (100 kpa), mmhg (133 pa), inch of mercury (3.386 kpa), torr (133.322 pa), psig (6.895 kpa gauge), bar (100 kpa), atmosphere technical (98.0665 kpa)
horsepower (750 w), btu per hour (0.293 w)
acre (4000 m²), hectare (10,000 m²)
km/h (0.278 km/ks), mph (0.45 km/ks), knot (0.5 km/ks)
minute (60 s), hour (3.6 ks), day (86.4 ks), week (604.8 ks), month (~2.592 megaseconds), year (~31.5 megaseconds)
planck units are defined using only the speed of light, the gravitational constant, the reduced planck constant, and the boltzmann constant.
use negative years instead of specifying bce. if someone writes 1996, we assume it means the common era. if someone writes year -1996, we assume it is before an era, and by analogy to positive years, it should be understood as part of the same timeline.
negative_year = 1 - bce_year because bce counts from 1, astronomical counts from 0.1757674897 == 1 gs, 757 Ms, 674 ks, 8 hs, 97 s.#!/usr/bin/ruby
prefixes = %w[p n mi m c d da h k me g t pe e z y ro qu]
units = %w[m g s a k mol cd hz n pa j w c v f ohm wb t h lm lx bq gy sv kat rad sr]
combinations = prefixes.product(units).map { |pre, unit| pre + unit }
puts combinations.join ", "pm pg ps pa pk pmol pcd phz pn ppa pj pw pc pv pf pohm pwb pt ph plm plx pbq pgy psv pkat prad psr nm ng ns na nk nmol ncd nhz nn npa nj nw nc nv nf nohm nwb nt nh nlm nlx nbq ngy nsv nkat nrad nsr mim mig mis mia mik mimol micd mihz min mipa mij miw mic miv mif miohm miwb mit mih milm milx mibq migy misv mikat mirad misr mm mg ms ma mk mmol mcd mhz mn mpa mj mw mc mv mf mohm mwb mt mh mlm mlx mbq mgy msv mkat mrad msr cm cg cs ca ck cmol ccd chz cn cpa cj cw cc cv cf cohm cwb ct ch clm clx cbq cgy csv ckat crad csr dm dg ds da dk dmol dcd dhz dn dpa dj dw dc dv df dohm dwb dt dh dlm dlx dbq dgy dsv dkat drad dsr dam dag das daa dak damol dacd dahz dan dapa daj daw dac dav daf daohm dawb dat dah dalm dalx dabq dagy dasv dakat darad dasr hm hg hs ha hk hmol hcd hhz hn hpa hj hw hc hv hf hohm hwb ht hh hlm hlx hbq hgy hsv hkat hrad hsr km kg ks ka kk kmol kcd khz kn kpa kj kw kc kv kf kohm kwb kt kh klm klx kbq kgy ksv kkat krad ksr mem meg mes mea mek memol mecd mehz men mepa mej mew mec mev mef meohm mewb met meh melm melx mebq megy mesv mekat merad mesr gm gg gs ga gk gmol gcd ghz gn gpa gj gw gc gv gf gohm gwb gt gh glm glx gbq ggy gsv gkat grad gsr tm tg ts ta tk tmol tcd thz tn tpa tj tw tc tv tf tohm twb tt th tlm tlx tbq tgy tsv tkat trad tsr pem peg pes pea pek pemol pecd pehz pen pepa pej pew pec pev pef peohm pewb pet peh pelm pelx pebq pegy pesv pekat perad pesr em eg es ea ek emol ecd ehz en epa ej ew ec ev ef eohm ewb et eh elm elx ebq egy esv ekat erad esr zm zg zs za zk zmol zcd zhz zn zpa zj zw zc zv zf zohm zwb zt zh zlm zlx zbq zgy zsv zkat zrad zsr ym yg ys ya yk ymol ycd yhz yn ypa yj yw yc yv yf yohm ywb yt yh ylm ylx ybq ygy ysv ykat yrad ysr rom rog ros roa rok romol rocd rohz ron ropa roj row roc rov rof roohm rowb rot roh rolm rolx robq rogy rosv rokat rorad rosr qum qug qus qua quk qumol qucd quhz qun qupa quj quw quc quv quf quohm quwb qut quh qulm qulx qubq qugy qusv qukat qurad qusr
see also simplified mathematical notation