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Pre-Algebra
Mean
Mode
Greatest Common Factor
Least Common Multiple
Order of Operations
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Mixed Fractions
Prime Factorization
Exponents
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Algebra
Combine Like Terms
Solve for a Variable
Factor
Expand
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Solve for θ
\theta =\frac{\sqrt{3}}{2}\approx 0.866025404
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\theta ≔\frac{\sqrt{3}}{2}
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Arithmetic
5 problems similar to:
\theta = \frac { \sqrt { 3 } } { 2 }
Similar Problems from Web Search
Alternative of finding theta when sin \theta and cos \theta are given
https://math.stackexchange.com/questions/929514/alternative-of-finding-theta-when-sin-theta-and-cos-theta-are-given
\sin\theta=\frac{\sqrt3}2=\sin\frac\pi3\implies\theta=n\pi+(-1)^n\frac\pi3 where n is any integer Set n=2s+1,(odd) =2s(even) one by one Again, \cos\theta=-\frac12=-\cos\frac\pi3=\cos\left(\pi-\frac\pi3\right) ...
Delta-method for the convergence in distribution of a_n\left(h(\bar X_n) - h(\theta) - b_n\right) when h'(\theta)=0
https://math.stackexchange.com/questions/2377042/delta-method-for-the-convergence-in-distribution-of-a-n-lefth-bar-x-n-h-t
The so-called delta-method stems from two basic results: By the usual CLT, \sqrt{n}(\bar X_n-\theta)\to\sigma_\theta Z in distribution, where Z is standard normal and \sigma_\theta^2=\mathrm{var}(X_1) ...
Proof convergence of vectors
https://math.stackexchange.com/questions/2948414/proof-convergence-of-vectors
I give here both if part and only if part. Let \{\overrightarrow a_k\}_k converges to \overrightarrow a in R^n . Then using norm ||.|| of R^n we can say that given any \epsilon > 0 ...
How to analyze (-1)^{\left \lfloor n\theta \right \rfloor} (in which \theta is an irrational number)?
https://math.stackexchange.com/questions/2986901/how-to-analyze-1-left-lfloor-n-theta-right-rfloor-in-which-theta
This is a very interesting problem. Throughout this proof, let \rho(x,z)=\sum_{n=1}^{x}(-1)^{\left\lfloor\frac{n}{\varphi}+z\right\rfloor}, where x \in \mathbb{N} and z\in \mathbb{R} , ...
Find an Unbiased Estimator of a Function of a Parameter [duplicate]
https://math.stackexchange.com/q/2643604
Let \hat{\beta}=\frac{1-\hat \theta}{\sqrt{3n}}. Then as you have shown E\hat{\beta}=\frac{1-\theta}{\sqrt{3n}}. Hence \hat{\beta} is an unbiased estimator of \frac{1-\theta}{\sqrt{3n}} ...
Approximation of irrational numbers?
https://math.stackexchange.com/questions/1364605/approximation-of-irrational-numbers
No. If \varphi = (\sqrt{5}+1)/2 (which is a root of x^2 - x - 1) and F_n are the Fibonacci numbers, |F_n - \varphi F_{n-1}| goes to 0 exponentially. Take a_n = F_{n+k} for sufficiently ...
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Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
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