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...e <math>n</math> is the number of vertices, so the algorithm terminates in time <math>O(n^2)</math>. We leave this as an exercise. 1-\Pr[\mbox{failed every time}] &= 1-\Pr[{RandomContract}\mbox{ fails}]^{n(n-1)/2} \\ ...

...o have higher heat capacities and proper detection of changes on them over time can help to find out the extent of unfolding<ref>Michael H. Chiu, Elmar J. ...es with low quantity (1-2mg) and is considerably fast in terms of analysis time<ref>Michael H. Chiu, Elmar J. Prenner</ref>. For instance, by monitoring th ...

...[wikt:stopwatch|stopwatch]] at the same time to note the car's position in time and space. ...rse: quantum [[wikt:Tunnel|tunneling]] of electrons. Look carefully. Every time a little bit gets through the barrier.]]<br> ...

...domized rounding process if there remains some uncovered subsets after one time of applying the randomized rounding.) ...

...an C. Hagness | title=Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. | publisher=Artech House Publishers | year=2005 | is ...

...code or anything for this programming assignment, but you should find some time to actually ''do'' this, so as to better understand the algorithmic Lovász ...

...d detecting duplicate or checking distinctness. It can be solved in linear time and linear space by a straightforward algorithm. ...

...moments after the [[Big Bang]], which created the [[universe]] a very long time ago, both [[matter]] and antimatter were mixing together. Since there was j ...

...oke]] are put into the top of the blast furnace in [[layer]]s. At the same time, hot [[air]] called "wind" is blown inside the furnace. Special [[nozzle]]s ...

...two and move to that room. (If their previous room number was ''n'', this time they would move to room number ''2n''.) This would send the guest in room 1 ...

...feel that you are not contributing enough to your group, then try to spend time thinking about the problems alone before working with your group. If you en ...

...>-ANN problem, using space at most <math>s</math>, answering each query in time <math>t</math>, correctly with probability <math>1-\delta</math>. ...NN problem, using space <math>O(s\log_c R)</math>, answering each query in time <math>O(t\log\log_c R)</math>, correctly with probability <math>1-O(\delta\ ...

...>-ANN problem, using space at most <math>s</math>, answering each query in time <math>t</math>, correctly with probability <math>1-\delta</math>. ...NN problem, using space <math>O(s\log_c R)</math>, answering each query in time <math>O(t\log\log_c R)</math>, correctly with probability <math>1-O(\delta\ ...

...>-ANN problem, using space at most <math>s</math>, answering each query in time <math>t</math>, correctly with probability <math>1-\delta</math>. ...NN problem, using space <math>O(s\log_c R)</math>, answering each query in time <math>O(t\log\log_c R)</math>, correctly with probability <math>1-O(\delta\ ...

...>-ANN problem, using space at most <math>s</math>, answering each query in time <math>t</math>, correctly with probability <math>1-\delta</math>. ...NN problem, using space <math>O(s\log_c R)</math>, answering each query in time <math>O(t\log\log_c R)</math>, correctly with probability <math>1-O(\delta\ ...

...>-ANN problem, using space at most <math>s</math>, answering each query in time <math>t</math>, correctly with probability <math>1-\delta</math>. ...NN problem, using space <math>O(s\log_c R)</math>, answering each query in time <math>O(t\log\log_c R)</math>, correctly with probability <math>1-O(\delta\ ...

Undulators can provide hundreds of time more [[magnetic flux]] than a simple bending magnet and as such are in high ...

...domized rounding process if there remains some uncovered subsets after one time of applying the randomized rounding.) ...

...domized rounding process if there remains some uncovered subsets after one time of applying the randomized rounding.) ...

...law with Maxwell's correction]], while electric fields 'circulate' around time varying magnetic fields, [[Faraday's law of induction|Faraday's law]]. ...

1-\Pr[\mbox{failed every time}] &= 1-\Pr[\mbox{MinCut fails}]^{n(n-1)/2} \\ ...

...assignment of <math>m</math> variables takes <math>m</math> bits, and each time of calling '''Fix''' takes <math>k</math> bits. ...ha>0</math>. In fact, in this case, <math>t=O(n\log n)</math>, the running time of the procedure is bounded by a polynomial! ...

...assignment of <math>m</math> variables takes <math>m</math> bits, and each time of calling '''Fix''' takes <math>k</math> bits. ...ha>0</math>. In fact, in this case, <math>t=O(n\log n)</math>, the running time of the procedure is bounded by a polynomial! ...

...ss evolving through time, where <math>X_i</math> gives some measurement at time <math>i</math>, the bounded difference condition states that the process do ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

* Design a <math>O(2^nn^2)</math>-time algorithm for the following problem. Prove the correctness and efficiency o ...

...nother integer sequence <math>b_1,...,b_n</math>. Give upper bounds on the time complexity and the error probability. ...

...e units then used to measure energy and the units commonly used to measure time (and therefore frequency). So the formula that Planck worked out to make th ...cientists thought that a thing cannot be a particle and a wave at the same time. ...

...that the martingale <math>X_0,X_1,\ldots</math> as a process evolving over time, never makes big change in a single step. ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...fact that <math>G</math> is not an expander, which can be verified in poly-time. However, there is no efficient algorithm for computing the <math>\phi(G)</ ...

...ss evolving through time, where <math>X_i</math> gives some measurement at time <math>i</math>, the bounded difference condition states that the process do ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...ss evolving through time, where <math>X_i</math> gives some measurement at time <math>i</math>, the bounded difference condition states that the process do ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...proposed to <math>b</math> before he proposed to <math>a</math>, by which time <math>b</math> must either be available or be with a worse man (because her ...''principle of deferred decisions''', each man can be seen as that at each time, sampling a uniformly random woman from the ones who have not already rejec ...

...c x)</math> directly. However, there exists an oracle <math>O</math>, each time <math>O</math> gets an input <math>\vec x</math>, it immediately outputs th ...bit “pattern” you want to find in the text. Devise an efficient (expected time <math>O(n^2)</math> ) algorithm for the problem. '''''Hint:''''' The key is ...

...from a graphical model when the model itself is changing dynamically with time. This problem derives its interest from a variety of inference, learning, a .... We also provide sufficient conditions under which this algorithm runs in time proportional to the size of the update, on general graphical models as well ...

...ss evolving through time, where <math>X_i</math> gives some measurement at time <math>i</math>, the bounded difference condition states that the process do ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

* Separation when reporting time of day hour/minute/second (cf. [[ISO 8601]]), such as: ...

...5 probability of meeting the parameter μ in the calculated interval. Every time the measurements are repeated, there will be another value for the mean {{o ...

...c x)</math> directly. However, there exists an oracle <math>O</math>, each time <math>O</math> gets an input <math>\vec x</math>, it immediately outputs th ...

...ewspaper=Time |pages= |page= |date=8 October 2006 |url=http://www.time.com/time/printout/0,8816,1543876,00.html}}</ref><ref>{{cite journal |title=Water wit ...

...orks in just about every browser, and JavaScript is simply a plus for real-time updates, and not a requirement. ...

...ss evolving through time, where <math>X_i</math> gives some measurement at time <math>i</math>, the bounded difference condition states that the process do ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...f years because they have been working with circles for the same amount of time. [[Civilizations]] as old as the [[Babylonia]]ns have been able to approxim ...

...that the martingale <math>X_0,X_1,\ldots</math> as a process evolving over time, never makes big change in a single step. ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...that the martingale <math>X_0,X_1,\ldots</math> as a process evolving over time, never makes big change in a single step. ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...that the martingale <math>X_0,X_1,\ldots</math> as a process evolving over time, never makes big change in a single step. ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

...that the martingale <math>X_0,X_1,\ldots</math> as a process evolving over time, never makes big change in a single step. ...could reveal the set of edges connected to a given vertex, one vertex at a time. Suppose that the vertex set is <math>[n]</math>. Let <math>X_i</math> be t ...

The time complexity of this sorting algorithm is measured by the '''number of compar ...from a fixed position (e.g. the first number in the array). The worst-case time complexity in terms of number of comparisons is <math>\Theta(n^2)</math>. ...

...th> balls are thrown independently into <math>n</math> bins. However, this time, the balls and the bins are not necessarily identical: ball <math>k</math> ...

...Also, some use it as a metaphor that IIII was commonplace in an period of time earlier than the idea of subtraction - IX - was introduced into writing Rom ...

...ve proposed to <math>b</math> before proposing to <math>a</math>, by which time <math>b</math> must either be single or be matched to a man ranked lower th ...cision of random choice in the random input can be deferred to the running time of the algorithm. ...

...news/science-environment-32168507 BBC News: Star's birth glimpsed 'in real time', 3 April 2015]</ref> Being able to observe its rapid growth is unique, acc ...

...assignment of <math>m</math> variables takes <math>m</math> bits, and each time of calling '''Fix''' takes <math>k</math> bits. ...ha>0</math>. In fact, in this case, <math>t=O(n\log n)</math>, the running time of the procedure is bounded by a polynomial! ...

...defined as the quantity of fluid flowing through ''S'' in a unit amount of time. ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

...c x)</math> directly. However, there exists an oracle <math>O</math>, each time <math>O</math> gets an input <math>\vec x</math>, it immediately outputs th ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

...neral rules, mathematics [[solution|solves]] many [[problem]]s at the same time as these rules can be used on other problems. ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

The time complexity of this sorting algorithm is measured by the '''number of compar It is easy to observe that the running time of the algorithm depends only on the relative order of the elements in the ...

...th> balls are thrown independently into <math>n</math> bins. However, this time, the balls and the bins are not necessarily identical: ball <math>k</math> ...

...ional analysis|dimensions]] of physical action: [[energy]] multiplied by [[time]], or [[momentum]] multiplied by [[distance]]. In [[International System of ...tity to calculate measurements like the [[Planck length]] and the [[Planck time]]. ...

...ople and animals release carbon dioxide when they breathe out. Also, every time something organic is burnt (or a [[fire]] is made), it makes carbon dioxide ...

.../arxiv.org/pdf/0909.3346.pdf Perfect Matchings in <math>O(n \log n)</math> Time in Regular Bipartite Graphs, by Goel, Kapralov and Khanna] ...

...e also been used as continuous-loop recording tapes (to double the playing time). Möbius strips are common in the making of fabric computer printer and ty ...

...ve proposed to <math>b</math> before proposing to <math>a</math>, by which time <math>b</math> must either be single or be matched to a man ranked lower th ...cision of random choice in the random input can be deferred to the running time of the algorithm. ...

:Furthermore, this map can be found in expected polynomial time. ...

:Furthermore, this map can be found in expected polynomial time. ...

...h. Excluded volume explained several puzzling experimental results of that time. It also led to the concept of the [[theta solvent|theta point]], the set o ...

...found on October 24, 1851 by [[William Lassell]]. It was found at the same time as [[Ariel (moon)|Ariel]]. ...

...cally more interesting and also more useful to us for analyzing the mixing time of random walks. ...

...th>b</math> black balls. The balls are drawn from the urn one by one, each time uniformly and independently at random, without replacement (which means we ...

...to reduce the storage or transmission costs. If ''y'' changes slowly with time, any of the rounding method above will result in ''q'' being completely con ...s (that add a discrete time dimension), or on polyphonic audio data (using time and channel discrete dimensions), it may still be preferable to propagate t ...

* [https://en.wikipedia.org/wiki/Stopping_time Stopping time] ...

...ss each coin once, with heads showing with probability <math>p</math> each time. Let <math>X</math> be the (random) number of heads outcomes and <math>Y</m ...

...th>b</math> black balls. The balls are drawn from the urn one by one, each time uniformly and independently at random, without replacement (which means we ...

...(<math>\phi</math>) finds a satisfying assignment for <math>\phi</math> in time <math>O(n+km\log m)</math> with high probability. ...

...fact that <math>G</math> is not an expander, which can be verified in poly-time. However, there is no efficient algorithm for computing the <math>\phi(G)</ ...

The [[Automated Readability Index]] was designed for [[real-time computing]] of readability for the electric [[typewriter]].<ref>{{cite jour ...

...ss each coin once, with heads showing with probability <math>p</math> each time. Let <math>X</math> be the (random) number of heads outcomes and <math>Y</m ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

:Furthermore, this map can be found in expected polynomial time. ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

...e existence of long increasing subsequence or decreasing subsequence. Last time we prove this by the pigeonhole principle. Now we use the Dilworth's theore ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

Obviously this problem can be solved in linear time and linear space (in addition to the space for storing the input) by mainta ...

...nomical Union]] (IAU) gave a definition to the word "planet" for the first time. By this definition, Pluto was not a planet anymore. It became a "dwarf pla ...

The leaves of a tree are green most of the time, but they can come in many colours, shapes and sizes. The leaves take in su ...