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tractable
tractable, a. (ˈtræktəb(ə)l) [ad. L. tractābilis, f. tractāre: see tract v.1, and cf. treatable.] 1. That can be easily managed; docile, compliant, manageable, governable. (Of persons and animals, or their dispositions, etc.)1502 W. Atkynson tr. De Imitatione ii. iii. 182 To be conuersaunt with meke...
Oxford English Dictionary
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Tractable
Tractable may refer to:
Operation Tractable, a military operation in Normandy 1944
Tractable problem, in computational complexity theory, a problem that can be solved in polynomial time
Tractable, ease of obtaining a mathematical solution such as a closed-form expression
Tractable (company), an
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Tractable | The speed and accuracy of AI. Now applied to ...
The speed and accuracy of AI. Now applied to visual assessment. · We are proud to work with · Testimonials · We connect everyone involved in assessment of homes ...
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tractable
tractable/ˈtræktəbl; `træktəbl/ adj(fml 文) easily guided, handled or controlled; docile 易於引导的; 易处理的; 易驾御的; 温顺的.
牛津英汉双解词典
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Tractable (company)
In June 2021, Tractable announced a venture round that valued the company at $1 billion. Tractable was the UK's 100th billion-dollar tech company, or unicorn.
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Operation Tractable
Tractable was launched a daylight attack. the Canadian operations during Tractable.
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Finding the smallest prime that is larger than $10^{100}$ or $10^{10^{10}}$ Is there a known tractable way to find the smallest prime number that is larger than $10^{100}$? I'm asking because I want to use this as an...
Here's an easy fix to the OP's problem: instead of $10^{100}$, use $10^{10^{10}}$. It's only slightly longer to write, but much, much larger as a number (and the prime question extremely hard to answer).
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derivative of log(det(A)) wrt x, where A is matrix that depends on x I have two large sparse matrices B and C, and I need to calculate $\frac{\rm{d}}{\rm{d}(\log({\lambda}) }\log( \det(B+\lambda C))$. Because B and...
I've now solved this problem using Cholesky decomposition. Using the identity: $\log(\det(A)) = 2 \sum_i \log(F_{ii})$, where F is the Cholesky root of A. I've then done the differentiation numerically, by computing $\log(\det(A))$ for two slightly different values of $\lambda$. It turns out that Ch...
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Expected value integral when variable in integrand is logged but variable of integration (dx) not Is it possible to get a tractable expression for $$\int \ln(x) f(\ln(x)) \:dx$$ Especially interested in situation wh...
Let $x=e^y$ and solve $$\int ye^y f\left(y\right) dy$$
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Two diophantine equations with lots of unknowns Is it possible (tractable) to determine if the following system of equations has any nontrivial solutions (ie, none of the unknowns are zero) in the domain of integers? ...
for the second one, take $C > D > 0,$ then $$ E = C^2 - D^2, \; \; \; F = C^2 + D^2 $$ If you wanted a system, take any $C,D \equiv 1 \pmod 4$ distinct primes, such as $5,13.$ We get the Pythagorean triple $16^2 + 63^2 = 65^2 = 5^2 13^2.$ Then $2 \cdot 5^4 + 2 \cdot 13^4 = (13^2 - 5^2)^2 + (13^2 + 5...
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Probability of difference between sets that are both dependent on a stochastic variable. I'm reviewing some statistics for my exams and have a hard time figuring out what exactly the meaning of the question and soluti...
We have: $$\mathbb{P}(\\{X\leq 1\\}\setminus \\{Y\leq 1\\})$$ $$=\mathbb{P}(\\{X\leq 1\\}\cap \\{Y >1\\})= \mathbb{P}(X\leq 1)\mathbb{P}(Y>1)$$ and now it is just a matter of calculating the integrals. The last equality follows because $X,Y$ are independent.
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What do you call iteratively optimizing w.r.t. various groups of variables? Suppose $f(\vec x, \vec y)$ is a function of two vectors of variables such that there is no analytical solution for $$\arg\min_{(\vec x, \ve...
This approach is called _Block Coordinate Descent_. Simple coordinate descent methods work with a single variable at a time- in block coordinate descent the optimization is done with groups of variables. It is not obvious in general that block coordinate descent will converge to an optimal solution....
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Mathematical equation for this if condition Consider a continuous signal u(t) and a binary state b. These two variables are related by the condition: If u(t) = 0 then b = 0, else b = 1. How can I relate b and u(t) i...
I think the expression $$-\left\lfloor e^{-u(t)^2}-1\right\rfloor$$ will do the trick. Here "$\lfloor\cdot\rfloor$" is the greatest integer function. To check this, note that if $u(t)=0$, the expression's value is $-\lfloor e^0-1\rfloor = -\lfloor 0\rfloor = 0$. On the other hand, note that if $u(t)...
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Does $\sum_{n=1}^\infty \int_0^1 \frac{dt}{(n + t^2 x^2)^{3/2}}$ converge? For what values of $x$ does $$\sum_{n=1}^\infty \int_0^1 \frac{dt}{(n + t^2 x^2)^{3/2}}$$ converge? Is the convergence absolute, conditional, ...
$$(n+t^{2}x^{2})^{\frac{3}{2}}\ge n^{\frac{3}{2}}$$ $$\implies\frac{1}{(n+t^{2}x^{2})^{\frac{3}{2}}}\le\frac{1}{n^{\frac{3}{2}}}$$ $$\implies\int_{0}^{1}\frac{1}{(n+t^{2}x^{2})^{\frac{3}{2}}}dt\le\frac{1}{n^{\frac{3}{2}}}$$ $$\implies\sum_{n=1}^{\infty}\int_{0}^{1}\frac{1}{(n+t^{2}x^{2})^{\frac{3}{2...
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Binary vs. Ternary Goldbach Conjecture Is there an "understandable" explanation of why the ternary Goldbach conjecture is tractable with current methods, while the binary Goldbach conjecture seems to be out of scope w...
The "current methods" have almost always been refinements of Hardy-Littlewood circle method. Terry Tao has a blog post where he describes how the circle method applies to the problem, and why experts think this method alone will not yield the even Goldbach conjecture.
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