- speed-delete-on|22-நவம்பர்-2012, {notability}
{கூகுள் ஆல்ஃபா}
- சிவப்பு,
, ![{\displaystyle \sum _{n=1}^{\infty }}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7b687b70ba9e122309c2cdabda52fd9b4e86b3bd)
தீமை,
---
கணிதப் பொதுக் குறியீடு[தொகு]
,
.
, ![{\displaystyle \qquad \qquad (2)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b703f4c55a8ff3a7d993cbcff581c4d495d1da23)
![{\displaystyle \Delta }](https://wikimedia.org/api/rest_v1/media/math/render/svg/32769037c408874e1890f77554c65f39c523ebe2)
and ![{\displaystyle {\ddot {y}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/61a2fbf9e038c6f150fe23bfd2a6681c1f30120e)
|
|
|
|
|
|
வெக்டர்[தொகு]
இயற்கணிதம்[தொகு]
![{\displaystyle H\backslash G}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e2362b495ce554ce84b546350c23611603f406b7)
![{\displaystyle {\sqrt {g_{1}^{2}+f_{1}^{2}-c_{1}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0ecfa7ee6089ec6eacafc5623439416226e4300c)
,
:![{\displaystyle |a|={\begin{cases}a,&{\mbox{if }}a\geq 0\\-a,&{\mbox{if }}a<0.\end{cases}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d5ed286da1f57d18aa3eff3aa6a7adc694a98b8)
![{\displaystyle A_{1}\;=\;\int _{1}^{b}{\frac {1}{x}}\,dx\;=\log _{e}b.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/04a206f3876d5548a52ce72b73358a75ad7bbfff)
![{\displaystyle a\in \mathbb {R} ,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d72881e04eeed78387285fdf3f1c9a6cb51e4cb9)
![{\displaystyle \infty }](https://wikimedia.org/api/rest_v1/media/math/render/svg/c26c105004f30c27aa7c2a9c601550a4183b1f21)
- (எதிர்ப்பக்கம்)2 + (அடுத்துள்ள பக்கம்)2 = (செம்பக்கம்)2
:![{\displaystyle {\text{எதிர்ப்பக்கம்}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8b95a296aabe5d406862c883500012ba538c0016)
- a ≠ 0, a ≥ 0
![{\displaystyle {\begin{cases}4x+2y=14\\2x-y=1.\end{cases}}\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/31ca6c12b4bc80c0e9e9b497fb136f045f0be475)
![{\displaystyle X=\log _{a}b={\frac {\ln b}{\ln a}},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/eaac6f166bf5fc908cd75af365ebd4179a9ea2b9)
![{\displaystyle \not =}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ebf8afec7dacd23ce8632c3a4b4abb3873afa97e)
![{\displaystyle a>0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1f34a80ea013edb56e340b19550430a8b6dfd7b9)
- Xm/n = a, m, n -முழு எண்கள்
![{\displaystyle X={\sqrt[{m}]{a^{n}}}=\left({\sqrt[{m}]{a}}\right)^{n}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c93ee35b63c3b583d5ac5392f4414960ca6e99ad)
![{\displaystyle X=\pm {\sqrt[{m}]{a^{n}}}=\pm \left({\sqrt[{m}]{a}}\right)^{n}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6c3de0f09a8f045a2a259e476c691ca30ab986b0)
![{\displaystyle {\color {BrickRed}P{=}2x+3y+5}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/94f21d941c7562399c96d9658e711f5910147e8c)
![{\displaystyle {\color {RoyalBlue}Q{=}2x+5y+xy+1},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d85ea646e31939332563fa4617b7a376313f0df5)
![{\displaystyle {\begin{array}{rccrcrcrcr}{\color {BrickRed}P}{\color {RoyalBlue}Q}&{=}&&({\color {BrickRed}2x}\cdot {\color {RoyalBlue}2x})&+&({\color {BrickRed}2x}\cdot {\color {RoyalBlue}5y})&+&({\color {BrickRed}2x}\cdot {\color {RoyalBlue}xy})&+&({\color {BrickRed}2x}\cdot {\color {RoyalBlue}1})\\&&+&({\color {BrickRed}3y}\cdot {\color {RoyalBlue}2x})&+&({\color {BrickRed}3y}\cdot {\color {RoyalBlue}5y})&+&({\color {BrickRed}3y}\cdot {\color {RoyalBlue}xy})&+&({\color {BrickRed}3y}\cdot {\color {RoyalBlue}1})\\&&+&({\color {BrickRed}5}\cdot {\color {RoyalBlue}2x})&+&({\color {BrickRed}5}\cdot {\color {RoyalBlue}5y})&+&({\color {BrickRed}5}\cdot {\color {RoyalBlue}xy})&+&({\color {BrickRed}5}\cdot {\color {RoyalBlue}1})\end{array}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1a01099771187c91fc6f5f0189f6c078c0dc635d)
![{\displaystyle PQ=4x^{2}+21xy+2x^{2}y+12x+15y^{2}+3xy^{2}+28y+5\,.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1ef5ca25adb062cb186e27d746380146961c9273)
முக்கோணவியல்[தொகு]
- 90°
![{\displaystyle \theta =\arcsin({\frac {\text{எதிர்ப்பக்கம்}}{\text{செம்பக்கம்}}})\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/abddc652a37081bce76b39af853dd8bd15bfcf6f)
![{\displaystyle \sin(-\theta )\ =-\sin \theta \,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/87ee9aa51f5c8026edfb9c4d789a907c6fad37ec)
![{\displaystyle \cos(-\theta )\ =+\cos \theta \,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cd7a58849f4dedad99c07bd4c6d2708836ca73fd)
![{\displaystyle \sin ^{2}\left(t+{\frac {1}{2}}\pi \right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ecd7cbb7868622c8e7e08f071dd212113c1386ae)
![{\displaystyle \sin ^{2}({\frac {\pi }{2}}-\theta )\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b00c7478b22c9abc0f1055c76007aa396ca07821)
![{\displaystyle \cot ^{2}({\frac {\pi }{2}}-\theta )\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2395dc5fa4a466f83970d97ef8ed91e159f8632c)
சார்புகள்[தொகு]
:![{\displaystyle (fg)'(x)=a}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4d2ba4fdaac475f0a2e0a1e4c4565108866ab4d3)
![{\displaystyle \ f^{\prime \prime }(x)<0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d738856cb9baaa78530552f267d18ca425252b0d)
|f′(x)| = 1 ![{\displaystyle \ f^{\prime }(c_{k})=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bc5a48fba8d0c279f6b2ef3a95adfd909d2a8e6d)
![{\displaystyle (g\circ f)(x)=g(f(x)).\ }](https://wikimedia.org/api/rest_v1/media/math/render/svg/e89853f4403fd24a00dcdc9e43aa8cbe69583b3d)
![{\displaystyle \ f^{\prime }(x)=g^{\prime }(x)=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2fb0595778c0d81c58f4e32bed4e2b74ae59be30)
c ∈ (a,b)
![{\displaystyle f(x,y)=x^{2}+y^{2}(1-x)^{3},\qquad x,y\in \mathbb {R} ,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/70b4a21ac7525541b799f233d44a9501ba76bd72)
![{\displaystyle {\frac {\pi }{2}}.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5fe4f48f7e0ba038a0dce9c299f02cbb63e0f500)
![{\displaystyle f(x)={\frac {x^{3}}{3}}-x,\,}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a1e5734a0bd9784b30f2dd4fab6b6e24ebee34cf)
x3 + 3x2 − 2x + 1
![{\displaystyle f(x)=x^{2}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/84ddac4ae10b1aa4a11741c79771a583419fb1fb)
x2
![{\displaystyle {\begin{aligned}&\lim _{p\to 0}{\sqrt[{p}]{\sum _{i=1}^{n}w_{i}x_{i}^{p}}}=\prod _{i=1}^{n}x_{i}^{w_{i}}\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a008d62699832a3f4521b1c97cd2a812e2ae465b)
![{\displaystyle M_{p}(bx_{1},\dots ,bx_{n})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0fddd2eda0ecd677411f66e423fd3e64a5af8865)
![{\displaystyle bM_{p}(x_{1},\dots ,x_{n})}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8e79a32f1f5eb05758bb48129fccc3aecafbd5dd)
![{\displaystyle \sum _{i=1}^{n}w_{i}x_{i}^{q}\leq \prod _{i=1}^{n}x_{i}^{w_{i}\cdot q}\leq \sum _{i=1}^{n}w_{i}x_{i}^{q}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/896604624fa701f041edbfa2ca53505624ae17ff)
![{\displaystyle \prod _{i=1}^{n}x_{i}^{w_{i}\cdot q}\leq \sum _{i=1}^{n}w_{i}x_{i}^{q}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/739f3057c2c4bc0c7d5f38869ef73e975911008b)
![{\displaystyle H=(h_{a}^{-1}+h_{b}^{-1}+h_{c}^{-1})/2}](https://wikimedia.org/api/rest_v1/media/math/render/svg/79dcc8db8859bf4b23d773e7b64748223f4f76d9)
.
.
![{\displaystyle H<G<A.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6f8ae80606d547c784e9be5f18cc3e1a3745a96b)
வடிவியல்[தொகு]
x கனசதுரத்தின் கனஅளவு
![{\displaystyle \!V={\frac {4}{3}}\pi r^{3}={\frac {\pi }{6}}\ (2r)^{3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/58a75f5fcd51a9cd85dcba876cfaff27f328578e)
![{\displaystyle \!V={\frac {\pi }{6}}\ (2r)^{3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/09f423a9ce0076f1944d60251f47b85d74163cd7)
![{\displaystyle G={\sqrt[{2}]{(2)(8)}},}](https://wikimedia.org/api/rest_v1/media/math/render/svg/129e21c2ac1d3f58eeeaa723ab5281e1b0950caf)
- C" =
∩
:![{\displaystyle \!V={\frac {4}{3}}\pi r^{3}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/adb8568793383ad99412a3bb012265ce42871fa9)
:![{\displaystyle \pi }](https://wikimedia.org/api/rest_v1/media/math/render/svg/9be4ba0bb8df3af72e90a0535fabcc17431e540a)
![{\displaystyle A-{\text{vertex}}=0:\sec ^{2}\left({\frac {B}{2}}\right):\sec ^{2}\left({\frac {C}{2}}\right)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d33e8c9b2ae16395b1733f008c1f122902b55fbe)
![{\displaystyle s={\frac {(a+b+c)}{2}}.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ea97118a7fb4c23a08929d040b90ac92efcbedde)
TATBTC
TA
![{\displaystyle h^{2}=pq.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ebf6f27079a75d27e65055915ae29067eaf1a4af)