alxv
It's large enough for the double-Gauss lens (a.k.a. normal prime lens) to have a nice shallow deep of field wide open. f/1.2 is close to the limit of a typical SLR mount. So a normal 50mm f/1.2 lens gets us 42mm of aperture. This means we can get the same depth of field and angle of view as a 6x7 medium format with a 110mm f/2.8 lens or a 4x5 large format with a 180mm f/4.5 (but with a much smaller system!) And we get a faster lens as a bonus.
Smaller formats lose some of that versatility of composition. The focal length of the normal lens on APS-C is 32mm. We would need f/0.8 lens to the same DOF. That's not possible on an SLR mount. Mirrorless systems with their shorter flange distances could get us there. But even then there are limits to how short the flange can be because image sensors become much less efficient as the angle of incidence of the light hitting them increases.
It's hard to understand why this technique works so well without digging deep in the math. Roughly speaking, if you throw n balls in n bins at random, the maximum of number balls in any bins will grow surprisingly quickly (because of the birthday paradox). However, if we allow ourselves to choose between two random bins instead of one, and put the ball in the one with the fewest balls in it, the maximum number of balls in any bins grow much more slowly (i.e., O(ln ln n)). Hence, having that one extra random choice allows us to get surprisingly close to the optimal approach of comparing all bins (which would give us O(1)), without doing all that work.
Load balancing based on consistent hashing is the better way to implement this.
101
010
100
The first and second rows are solved. However we cannot solve the last row without re-doing the first and second rows. The two solutions of this board shows this: solution #1:
110
100
000
solution #2:
110
110
000
Actually, seeing my mistake made me challenge my assumption that a singular matrix over the reals might not be over integers modulo 2. This is likely wrong too. I don't know much about abstract algebra (and I am not a mathematician). Wikipedia (https://en.wikipedia.org/wiki/Determinant#Square_matrices_ov...) states "the reduction modulo m of the determinant of such a matrix is equal to the determinant of the matrix reduced modulo m."The move matrix M for all boards of size 3n + 2 appears to be singular. This means these boards may have no solution or a large number of solutions.
101 010
010 or 101
101 010
where 1 is a white square and 0 is a black square.We can represent any N×N board as a N² vector. So, we can represent one of the chessboard pattern as:
010
101 = 010101010 = y
010
At the beginning of the game, the board is at some random initial pattern. 110
111 = 110111010 = y0
010
The goal of the game is to find the necessary moves to form the chessboard pattern. Hence, we want to solve the equation (y - y0) = Mx
where M is a N²×N² matrix representing the effect of every possible moves. Pressing on a tile is equation to addition by 1 modulo 2. 1 + 1 = 0 (mod 2)
0 + 1 = 1 (mod 2)
For example, pressing the top left tile is the same as adding this effect vector to the board vector: 110110000
If we do this for all 9 tiles of the 3x3 board, we find the matrix M to be: 110110000
111111000
011011000
110110110
111111111 = M
011011011
000110110
000111111
000011011
where the i-th row is the effect of pressing the i-th tile. Now, we can just solve for x (assuming M is not singular). Re-using our above example, we find (y - y0) = Mx
(010101010 - 110111010) = Mx
100010000 = Mx
111100100 = x (by Gaussian elimination)
This means we can press the following tiles (in any order) on the board to solve it: 111
100
100
If you are interested, I wrote some quick demo code that shows how this could be implemented in Python: https://gist.github.com/avassalotti/7452318c9e9b8dec637bc7c0...http://www.environmentalhealthnews.org/ehs/news/lead-in-vine...
Outside of Italy, it's difficult to find Italian olive oils that are not blended. The 2014 and 2015 harvest seasons have been terrible due a bacterial blight [2] that crippled many olive farms in Southern Italy.
[1] http://www.seattletimes.com/business/retail/costco-embraces-...
https://investor.google.com/corporate/google-code-of-conduct...
Offline resampling methods, like bootstrapping, are better if you're looking to robustly estimate the variance of the experiment.
http://www.google.com/url?q=http%3A%2F%2Fwww.medscape.com%2F...
Large network owners agree to peer without charges when it is mutually beneficial. That usually boils down to whether the traffic exchanged between the two networks will be roughly balanced and managed reliably.
One of the issue here is that Netflix doesn't operate an Internet backbone. Therefore, ISPs can't use Netflix's network to exchange traffic across the wider Internet. So this leaves the ISPs two choices here:
1) Agree to a free peering agreement with Netflix and build more capacity in their network at the ISP's expense to support Netflix's egress traffic; 2) Request Netflix to sign a paid peering agreement to support the construction and maintenance of the needed extra network capacity.
ISPs who opt for the first choice believe that improving their access to Netflix will make their customers happy and thus allow them grow their business. The other ISPs who opt for the latter choice believe, on the other hands, don't see the free peering as an investment; they want rather to extract more money from their existing customers. So, it is not that surprising to see the incumbent ISPs, who have locked-in their users already and killed-off most of the competition, going against free peering.
That said, I just can't wait to see Google Fiber kick the behinds of these greedy fools.
First off, building a datacenter in space would not be cheap. It costs around $25,000 to send a kilogram of equipment into a geostationary orbit. [1] So let assume we were to use Dell PowerEdge C1100. Each server costs $14,000 and weights 18kg. [2] This means for each server sent in orbit, you could buy 32 extra ones on Earth.
Then, there is the issue of cooling. Although outer space is really cold, its vacuum prevents the heat generated by the machines from being dissipated quickly. Controlling the temperature of a such datacenter would be a very interesting engineering challenge.
And then how would you power this datacenter? Converting the excess heat back into electricity could be an interesting option. But most likely, it would need a lot of solar panels. This would make the datacenter cheap to run once built, but the upfront costs would be enormous.
And we haven't talked about speed and reliability yet. Since the signal would need to travel about 35,000 km from the geostationary orbit to reach us, communications between Earth and the datacenter would have significant delays. Even at the speed of light, the minimum round trip time would be about 250 milliseconds if we ignore all other possible sources of delay.
The hostile space weather would also make it pretty hard to run servers reliability. Radiations would destroy electronics, caused bit to flip randomly and do all bunch of fun stuff to the equipment.
But... anyhow! Let's assume anyway that by some magical work of science and Google engineering, we figure ways to manufacture a datacenter directly space for almost nothing by mining the Moon, discover some amazing thermoelectric generators with near 100% efficiency and space shields that blocks almost all radiations.
So back our previous example, a high performance PowerEdge gives us up to about 300 GFLOPS of computing power, 192 GB of RAM and 12 TB of storage.
Now if we were to convert the total mass of the Moon (7.34767309 × 10²² kg) into one monstrous datacenter, this would give us about 4.0 × 10²¹ servers. It would gives us a whooping 1.2 billions YottaFLOPS (or put differently, 1.2 × 10³³ FLOPS) of compute madness, 0.8 billions YottaBytes and 49 billions YottaBytes of storage. This monster would consume about the equivalent of 1% of the Sun's total power output.
[1]: http://www.futron.com/upload/wysiwyg/Resources/Whitepapers/S... [2]: http://www.dell.com/us/enterprise/p/poweredge-c1100/pd#TechS...
It is not a complete solution, as an attacker could still DoS your service by making pickle allocate a huge amount of memory, but at least that's better than allowing arbitrary code execution.
I've first heard that from an old jwz rant.
Given that the search space can grow O(4^mn), this can be done only for endgame configurations. Further, not knowing any bounds on the board size makes the input representation difficult to define for a such machine learning approach. And, your target should probably be the weights of an evaluation function, rather than the exact game outcome.
As for the learning algorithm, I know TD-learning was found to be a good approach in various chess programs.
> For each possible move, use the neural network to predict the outcome of that move. Pick the move with highest expected outcome.
You would likely still want to run an alpha-beta search to pick the move to minimize the prediction error.
http://www.justin.tv/startupschool/b/298808358
Seek at 9:30.