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→Simple Arithmetic Operators
==== Introduction ====
==== Introduction ====
1) Navigating Menus
[[File:Master for formulae.gif|frameless|700px]]
[[File:Master for formulae.gif|frameless|700px]]
2) Examplar Formula
==== Simple Arithmetic Operators ====
==== Simple Arithmetic Operators ====
1)[[File:Simplearithmetic 1.png|frameless]],[[File:Simplearithmetic2.png|frameless]]<math>a=\pm{5}</math>
1) <math>a=\pm{5}</math>,<math>b\neq\pm6</math>
[https://teacher-network.in/OER/images/2/26/Equals_not_equals_plus_or_minus.gif Link]
[https://teacher-network.in/OER/images/2/26/Equals_not_equals_plus_or_minus.gif Link]
2)[[File:Simplearithmetic3.png|frameless]],[[File:Simplearithmetic4.png|frameless]],[[File:Simplearithmetic5.png|frameless]],[[File:Simplesrithmetic6.png|frameless]]
2) <math>a+0=a, a\times0=a, a+(-a)=0, a\div a=1</math>
[https://teacher-network.in/OER/images/d/d3/Arithematic_1.gif Link]
[https://teacher-network.in/OER/images/d/d3/Arithematic_1.gif Link]
3) [[File:Simplearithmetic7.png|frameless]],[[File:Simplearithmetic8.png|frameless]],[[File:Simplearithmetic9.png|frameless]],[[File:Simplearithmetic10.png|frameless]],[[File:Simplearithmetic11.png|frameless]]
3) [[File:Simplearithmetic11.png|frameless]]<math>{a\over b }, a/b, </math>[[File:Simplearithmetic10.png|frameless]], <math>a.{1 \over a}= 1 </math>
[https://teacher-network.in/OER/images/5/55/Arithmetic_2_Final.gif Link]
[https://teacher-network.in/OER/images/5/55/Arithmetic_2_Final.gif Link]
==== Relational Operators ====
==== Relational Operators ====
1) [[File:Relational1.png|frameless]],
1) <math>v<u </math>,<math>x\geq y, p\gg q, |a+b|\leq |a| + |b| </math>
[https://teacher-network.in/OER/images/1/16/Relational_operators.gif Link]
2) <math>e\approx f, i\eqsim j, m\propto n, n! </math>
[https://teacher-network.in/OER/images/c/c0/More_mathematical_operators.gif Link]
==== Geometric Operators ====
1) <math>AB || PQ, \bigtriangleup ABC = \bigtriangleup EFG, AB \perp PQ, \angle \alpha = 180^{0} </math>
[https://teacher-network.in/OER/images/7/7d/Geometric_Symbols_Final.gif Link]
2) <math>\bar{AB}, \vec{AB}, \bar{AB}, </math>[[File:Geomertysymbol.png|frameless]]
[https://teacher-network.in/OER/images/c/cc/Geometric_Representation.gif Link]
==== Set Operators ====
1) <math>\emptyset\subset A </math>
[https://teacher-network.in/OER/images/0/03/Set_1.gif Link]
2) <math>(A\cup B)' = A' \cap B' </math>
[https://teacher-network.in/OER/images/4/4a/Set_2.gif Link]
3) <math>A' = \{ x|x \in A \ and \ x\in B\} </math>
[https://teacher-network.in/OER/images/1/12/Set_3.gif Link]
4) <math>A\times B = \{ (x, y) | x\in A \ and \ x\not\in B \} </math>
[https://teacher-network.in/OER/images/1/19/Set_4.gif Link]
==== Permutation and Combination ====
1) <math>{}^nC_4 = {n! \over k! ( n-k )!} </math>
[https://teacher-network.in/OER/images/e/ef/Combinations.gif Link]
==== Exponents and Powers ====
1) <math>{a^m \over b^n} = a ^{m-n} </math>
[https://teacher-network.in/OER/images/8/8f/Powers1.gif Link]
2) <math>(a^m)^n=a^mn </math>
[https://teacher-network.in/OER/images/c/c0/Power_2.gif Link]
3) <math>a^{m \over n}= \sqrt[n]{a^m} </math>
[https://teacher-network.in/OER/images/a/a5/Power_3.gif Link]
4) <math>{{1} \over { \sqrt[n]{a} }} ={ {\sqrt[n]{a^{n-1}}}\over{a}}; a\neq 0 </math>
[https://teacher-network.in/OER/images/e/e0/Powers_4.gif Link]
5) <math>\sqrt{a \pm \sqrt {b}} = \sqrt { {a + \sqrt{a^2 - b}} \over {2}} \pm \sqrt { {a-\sqrt{a^2-b}}\over{2}} </math>
[https://teacher-network.in/OER/images/1/10/Powers_5.gif Link]
==== Binomial Theorem ====
1) <math>(a-b)^n = {}^nC_0a^n+{}^nC_1a^{n-1}b.......{}^nCab^{n-1}+{}^nC_nb^n </math>
[https://teacher-network.in/OER/images/4/4c/Binomial_Theorem.gif Link]
==== Logarithms ====
1) <math>\log _{0} {a}=\{ - \infty \ if \ a>1\ \ +\infty if a<1 \} </math>
[https://teacher-network.in/OER/images/e/ea/Logarithms_1.gif Link]
2) <math>\log (1000) = 3 </math>
[https://teacher-network.in/OER/images/5/5a/Logarithms_2.gif Link]
==== Trigonometry ====
1) <math>\sin {( \alpha + \beta )} = \sin{(\alpha)} \cos{(\beta)} + \cos{(\alpha)}\sin{(\beta)} </math>
[https://teacher-network.in/OER/images/3/3c/Trigonometry_2.gif Link]
2) <math>{\sin}^2 (\theta) + {\cos}^2 (\theta)=1 </math>
[https://teacher-network.in/OER/images/0/03/Triginometry_1.gif Link]
==== Integer Series ====
1) <math>\sum_{1}^N n^{2} = 1 + 2+ 3+ ...... +N^2 = {N(N+1)(2N+1) \over 6} </math>
[https://teacher-network.in/OER/images/a/a1/Integer_Series.gif Link]
=== Advanced Features : ===
=== Advanced Features : ===