{"id":2259,"date":"2017-06-15T21:58:06","date_gmt":"2017-06-15T21:58:06","guid":{"rendered":"http:\/\/10.10.10.4:9191\/softlect\/?p=2259"},"modified":"2019-06-22T13:15:47","modified_gmt":"2019-06-22T13:15:47","slug":"algebra-symbols","status":"publish","type":"post","link":"http:\/\/softlect.com\/index.php\/algebra-symbols\/","title":{"rendered":"Algebra Symbols"},"content":{"rendered":"

Algebra symbols<\/h1>\n
\n
\n
Symbol<\/div>\n
Meaning \/ definition<\/div>\n
Example<\/div>\n
 <\/div>\n<\/div>\n
\n
x<\/em><\/div>\n
x variable<\/div>\n
unknown value to find<\/div>\n
when 2x<\/em> = 4, then x<\/em> = 2<\/div>\n<\/div>\n
\n
\u2261<\/div>\n
equivalence<\/div>\n
identical to<\/div>\n
 <\/div>\n<\/div>\n
\n
\u225c<\/div>\n
equal by definition<\/div>\n
equal by definition<\/div>\n
 <\/div>\n<\/div>\n
\n
:=<\/div>\n
equal by definition<\/div>\n
equal by definition<\/div>\n
 <\/div>\n<\/div>\n
\n
~<\/div>\n
approximately equal<\/div>\n
weak approximation<\/div>\n
11 ~ 10<\/div>\n<\/div>\n
\n
\u2248<\/div>\n
approximately equal<\/div>\n
approximation<\/div>\n
sin<\/em>(0.01) \u2248 0.01<\/div>\n<\/div>\n
\n
\u221d<\/div>\n
proportional to<\/div>\n
proportional to<\/div>\n
f<\/em>(x<\/em>) \u221d g<\/em>(x<\/em>)<\/div>\n<\/div>\n
\n
\u221e<\/div>\n
lemniscate<\/div>\n
infinity symbol<\/div>\n
<\/div>\n<\/div>\n
\n
\u226a<\/div>\n
much less than<\/div>\n
much less than<\/div>\n
1 \u226a 1000000<\/div>\n<\/div>\n
\n
\u226b<\/div>\n
much greater than<\/div>\n
much greater than<\/div>\n
1000000 \u226b 1<\/div>\n<\/div>\n
\n
( )<\/div>\n
parentheses<\/div>\n
calculate expression inside first<\/div>\n
2 * (3+5) = 16<\/div>\n<\/div>\n
\n
[ ]<\/div>\n
brackets<\/div>\n
calculate expression inside first<\/div>\n
[(1+2)*(1+5)] = 18<\/div>\n<\/div>\n
\n
{ }<\/div>\n
braces<\/div>\n
set<\/div>\n
<\/div>\n<\/div>\n
\n
\u230ax<\/em>\u230b<\/div>\n
floor brackets<\/div>\n
rounds number to lower integer<\/div>\n
\u230a4.3\u230b= 4<\/div>\n<\/div>\n
\n
\u2308x<\/em>\u2309<\/div>\n
ceiling brackets<\/div>\n
rounds number to upper integer<\/div>\n
\u23084.3\u2309= 5<\/div>\n<\/div>\n
\n
x<\/em>!<\/div>\n
exclamation mark<\/div>\n
factorial<\/div>\n
4! = 1*2*3*4 = 24<\/div>\n<\/div>\n
\n
| x<\/em> |<\/div>\n
single vertical bar<\/div>\n
absolute value<\/div>\n
| -5 | = 5<\/div>\n<\/div>\n
\n
f <\/em>(x<\/em>)<\/div>\n
function of x<\/div>\n
maps values of x to f(x)<\/div>\n
f <\/em>(x<\/em>) = 3x<\/em>+5<\/div>\n<\/div>\n
\n
(f <\/em>\u2218g<\/em>)<\/div>\n
function composition<\/div>\n
(f <\/em>\u2218g<\/em>)(x<\/em>) = f <\/em>(g<\/em>(x<\/em>))<\/div>\n
f <\/em>(x<\/em>)=3x<\/em>, g<\/em>(x<\/em>)=x<\/em>-1 \u21d2(f <\/em>\u2218g<\/em>)(x<\/em>)=3(x<\/em>-1)<\/div>\n<\/div>\n
\n
(a<\/em>,b<\/em>)<\/div>\n
open interval<\/div>\n
(a<\/em>,b<\/em>) = {x<\/em> | a<\/em> < x<\/em> < b<\/em>}<\/div>\n
x<\/em> \u2208 (2,6)<\/div>\n<\/div>\n
\n
[a<\/em>,b<\/em>]<\/div>\n
closed interval<\/div>\n
[a<\/em>,b<\/em>] = {x<\/em> | a<\/em> \u2264 x<\/em> \u2264 b<\/em>}<\/div>\n
x<\/em> \u2208 [2,6]<\/div>\n<\/div>\n
\n
\u2206<\/div>\n
delta<\/div>\n
change \/ difference<\/div>\n
\u2206t<\/em> = t<\/em>0<\/sub><\/div>\n<\/div>\n
\n
\u2206<\/div>\n
discriminant<\/div>\n
\u0394 = b<\/em>2<\/sup> – 4ac<\/em><\/div>\n
<\/div>\n<\/div>\n
\n
\u2211<\/div>\n
sigma<\/div>\n
summation – sum of all values in range of series<\/div>\n
\u2211 xi<\/sub>= x<\/em>1<\/sub>+x<\/em>2<\/sub>+…+x<\/em>n<\/em><\/sub><\/div>\n<\/div>\n
\n
\u2211\u2211<\/div>\n
sigma<\/div>\n
double summation<\/div>\n
\"\"<\/div>\n<\/div>\n
\n
\u220f<\/div>\n
capital pi<\/div>\n
product – product of all values in range of series<\/div>\n
\u220f xi<\/sub>=x<\/em>1<\/sub>\u2219x<\/em>2<\/sub>\u2219…\u2219x<\/em>n<\/em><\/sub><\/div>\n<\/div>\n
\n
e<\/em><\/div>\n
e constant \/ Euler’s number<\/div>\n
e<\/em> = 2.718281828…<\/div>\n
e<\/em> = lim (1+1\/x<\/em>)x<\/sup><\/em> , x<\/em>\u2192\u221e<\/div>\n<\/div>\n
\n
\u03b3<\/div>\n
Euler-Mascheroni constant<\/div>\n
\u03b3 = 0.527721566…<\/div>\n
<\/div>\n<\/div>\n
\n
\u03c6<\/div>\n
golden ratio<\/div>\n
golden ratio constant<\/div>\n
<\/div>\n<\/div>\n
\n
\u03c0<\/div>\n
pi constant<\/div>\n
\u03c0<\/em>= 3.141592654…is the ratio between the circumference and diameter of a circle<\/div>\n
c<\/em> = \u03c0<\/em>\u00b7d<\/em> = 2\u00b7\u03c0<\/em>\u00b7r<\/em><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Algebra symbols Symbol Meaning \/ definition Example   x x variable unknown value to find when 2x = 4, then x = 2 \u2261 equivalence identical to   \u225c equal… <\/p>\n","protected":false},"author":1,"featured_media":3119,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[34],"tags":[],"aioseo_notices":[],"amp_enabled":true,"_links":{"self":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/2259"}],"collection":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/comments?post=2259"}],"version-history":[{"count":9,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/2259\/revisions"}],"predecessor-version":[{"id":3533,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/posts\/2259\/revisions\/3533"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/media\/3119"}],"wp:attachment":[{"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/media?parent=2259"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/categories?post=2259"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/softlect.com\/index.php\/wp-json\/wp\/v2\/tags?post=2259"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}