| பலுக்கும் முறை |  |  |  |  |  |
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| rowspan=3 bgcolor=#d0f0d0 align=<div>=</div> | சமம் | காட்டாக 2 + 3 = 5 என்பது ஒரு சமன்பாடு. இதனை 2 கூட்டல் 3 **ஈடு** 5 என்று படிக்கலாம், அல்லது 2 கூட்டல் 3 **சமம்** 5 என்று படிக்கலாம். அதே போல 2 + 4 = 3 x 2 என்பதும் ஒரு சமன்பாடு. | 1&nbsp;+ 1&nbsp;= 2 |  |  |
| align=சமமாக, ஈடாக |  |  |  |  |  |
| align=எங்கும் |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>≠  
<>  
!=</div> | சமனிலி | *x*&nbsp;≠ *y* என்பது *x* ம் *y* யும் ஒன்றல்ல, ஒரே மதிப்பைக் கொள்ளவில்லை. .  
(*குறியீடுகள்* != *ம்* <> '' கணினியியலில் பயன்படுகிறது.) | 1 ≠ 2 |  |  |
| align=சமமில்லை |  |  |  |  |  |
| align= valign= |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div><  
>  
≪  
≫</div> | strict inequality | *x*&nbsp;< *y* என்பது *x* ஐவிடச் சிறியது *y*.  
*x*&nbsp;> *y* என்பது *x* *y*யிலும் பெரியது.  
*x*&nbsp;≪ *y* என்பது *x* *y* ஐவிட மிகச் சிறியது.  
*x*&nbsp;≫ *y* என்பது *x* *y*ஐவிடப் மிகவும் பெரியது. | 3&nbsp;< 4
5&nbsp;> 4.  
0.003&nbsp;≪ 1000000 |  |  |
| align=is less than, is greater than, is much less than, is much greater than |  |  |  |  |  |
| align=order theory |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>≤
<=  
≥
>=</div> | inequality | *x*&nbsp;≤ *y* means *x* is less than or equal to *y*.  
*x*&nbsp;≥ *y* means *x* is greater than or equal to *y*.  
(*The symbols* <= *and* >= *are primarily from computer science. They are avoided in mathematical texts.*) | 3&nbsp;≤&nbsp;4 and 5&nbsp;≤&nbsp;5
5&nbsp;≥&nbsp;4 and 5&nbsp;≥&nbsp;5 |  |  |
| align=is less than or equal to, is greater than or equal to |  |  |  |  |  |
| align=order theory |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>∝</div> | proportionality | *y* ∝ *x* means that *y* = *kx* for some constant *k*. | if *y* = 2*x*, then *y* ∝ *x* |  |  |
| align=is proportional to; varies as |  |  |  |  |  |
| align= valign=everywhere |  |  |  |  |  |
| rowspan=6 bgcolor=#d0f0d0 align=<div>+</div> | கூட்டல் | 4 + 6 means the sum of 4 and 6. | 2 + 7 = 9 |  |  |
| align=plus |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| disjoint union | *A*<sub>1</sub> + *A*<sub>2</sub> means the disjoint union of sets *A*<sub>1</sub> and *A*<sub>2</sub>. | *A*<sub>1</sub> = {1, 2, 3, 4} ∧ *A*<sub>2</sub> = {2, 4, 5, 7} ⇒
*A*<sub>1</sub> + *A*<sub>2</sub> = {(1,1), (2,1), (3,1), (4,1), (2,2), (4,2), (5,2), (7,2)} |  |  |  |
| align=the disjoint union of … and … |  |  |  |  |  |
| align=set theory |  |  |  |  |  |
| rowspan=9 bgcolor=#d0f0d0 align=<div>−</div> | கழித்தல் | 9 − 4 means the subtraction of 4 from 9. | 8 − 3 = 5 |  |  |
| align=minus |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| negative sign | −3 means the negative of the number 3. | −(−5) = 5 |  |  |  |
| align=negative; minus |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| set-theoretic complement | *A*&nbsp;−&nbsp;*B* means the set that contains all the elements of *A* that are not in *B*.  
∖ can also be used for set-theoretic complement as described below. | {1,2,4}&nbsp;−&nbsp;{1,3,4}&nbsp;&nbsp;=&nbsp; {2} |  |  |  |
| align=minus; without |  |  |  |  |  |
| align=set theory |  |  |  |  |  |
| rowspan=9 bgcolor=#d0f0d0 align=<div>×</div> | பெருக்கல் | 3 × 4 means the multiplication of 3 by 4. | 7 × 8 = 56 |  |  |
| align=times |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| கார்ட்டீசியன் பெருக்கற்பலன் | *X*×*Y* means the set of all வரிசைச் சோடி with the first element of each pair selected from X and the second element selected from Y. | {1,2} × {3,4} = {(1,3),(1,4),(2,3),(2,4)} |  |  |  |
| align=the Cartesian product of … and ...; the direct product of … and … |  |  |  |  |  |
| align=set theory |  |  |  |  |  |
| குறுக்குப் பெருக்கு | **u** × **v** means the cross product of vectors **u** and **v** | (1,2,5) × (3,4,−1) =
(−22, 16, − 2) |  |  |  |
| align=cross |  |  |  |  |  |
| align=vector algebra |  |  |  |  |  |
| rowspan=6 bgcolor=#d0f0d0 align=<div>·</div> | பெருக்கல் | 3 · 4 means the multiplication of 3 by 4. | 7 · 8 = 56 |  |  |
| align=times |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| புள்ளிப் பெருக்கல் | **u** · **v** means the dot product of vectors **u** and **v** | (1,2,5) · (3,4,−1) = 6 |  |  |  |
| align=dot |  |  |  |  |  |
| align=vector algebra |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>÷  
&frasl;</div> | division | 6 ÷ 3 or 6 &frasl; 3 means the division of 6 by 3. | 2 ÷ 4 = .5  
12 &frasl; 4 = 3 |  |  |
| align=divided by |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| rowspan=6 bgcolor=#d0f0d0 align=<div>±</div> | plus-minus | 6 ± 3 means both 6 + 3 and 6 – 3. | The equation *x* = 5 ± √4, has two solutions, *x* = 7 and *x* = 3. |  |  |
| align=plus or minus |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| plus-minus | 10 ± 2 or equivalently 10 ± 20% means the range from 10 − 2 to 10 + 2. | If *a* = 100 ± 1 mm, then *a* ≥ 99&nbsp;mm and *a* ≤ 101&nbsp;mm. |  |  |  |
| align=plus or minus |  |  |  |  |  |
| align=அளவியல் |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div></div> | minus-plus | 6 ± (3 5) means both 6 + (3 – 5) and 6 – (3 + 5). | cos(*x* ± *y*) = cos(*x*) cos(*y*) sin(*x*) sin(*y*). |  |  |
| align=minus or plus |  |  |  |  |  |
| align=எண்கணிதம் |  |  |  |  |  |
| rowspan=6 bgcolor=#d0f0d0 align=<div>√</div> | வர்க்கமூலம் | √*x* means the positive number whose square is *x*. | √4&nbsp;= 2 |  |  |
| align=the principal square root of; square root |  |  |  |  |  |
| align=மெய்யெண் |  |  |  |  |  |
| complex square root | if *z* = *r* exp(***i***&phi;) is represented in polar coordinates with -***π*** < &phi; ≤ ***π***, then √*z* = √*r* exp(***i***&nbsp;&phi;/2). | √(-1)&nbsp;= ***i*** |  |  |  |
| align=the complex square root of&nbsp;…  
square root |  |  |  |  |  |
| align=சிக்கலெண் |  |  |  |  |  |
| </div> | தனி மதிப்பு or modulus | means the distance along the real line (or across the complex plane) between *x* and zero. | &nbsp;= 3 | = 1 | &nbsp;= 5 |
| align=absolute value (modulus) of |  |  |  |  |  |
| align=எண்s |  |  |  |  |  |
| யூக்ளிடிய தொலைவு | means the Euclidean distance between **x** and **y**. | For **x**&nbsp;= (1,1), and **y**&nbsp;= (4,5), | = √([1–4]<sup>2</sup> + [1–5]<sup>2</sup>)&nbsp;= 5 |  |  |
| align=Euclidean distance between; Euclidean norm of |  |  |  |  |  |
| align=வடிவவியல் |  |  |  |  |  |
| அணிக்கோவை | means the determinant of the matrix **A** | <math>\begin{vmatrix}
1&2 \\
2&4 \\
\end{vmatrix} = 0</math> |  |  |  |
| align=determinant of |  |  |  |  |  |
| align=அணி (கணிதம்) |  |  |  |  |  |
| </div> | divides | *b* means *a* divides *b*. | 15. |  |  |
| align=divides |  |  |  |  |  |
| align=Number Theory |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>!</div> | தொடர் பெருக்கம் | *n*&nbsp;**!** is the product 1 × 2× … × *n*. | 4**!** = 1 × 2 × 3 × 4 = 24 |  |  |
| align=factorial |  |  |  |  |  |
| align=சேர்வியல் (கணிதம்) |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>T</div> | transpose | Swap rows for columns | <math>A_{ij} = (A^T)_{ji}</math> |  |  |
| align=transpose |  |  |  |  |  |
| align=அணி (கணிதம்)s |  |  |  |  |  |
| rowspan=6 bgcolor=#d0f0d0 align=<div>~</div> | நிகழ்தகவுப் பரவல் | *X ~ D*, means the சமவாய்ப்பு மாறி *X* has the probability distribution *D*. | ''X ~ N(0,1), the இயல்நிலைப் பரவல் |  |  |
| align=has distribution |  |  |  |  |  |
| align=புள்ளியியல் |  |  |  |  |  |
| Row equivalence | *A*~*B* means that *B* can be generated by using a series of elementary row operations on *A* | <math>\begin{bmatrix}
1&2 \\
2&4 \\
\end{bmatrix} \sim \begin{bmatrix}
1&2 \\
0&0 \\
\end{bmatrix}</math> |  |  |  |
| align=is row equivalent to |  |  |  |  |  |
| align=அணி (கணிதம்) |  |  |  |  |  |
| rowspan=3 bgcolor=#d0f0d0 align=<div>⇒  
→  
⊃</div> | material implication | *A* ⇒ *B* means if *A* is true then *B* is also true; if *A* is false then nothing is said about *B*.  
→ may mean the same as ⇒, or it may have the meaning for functions given below.