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It’s often easier to show work than to explain it, especially when it comes to advanced, theoretical math concepts.

Where the civilian infrastructure was located, particularly nuclear power plants. you draw big red line around that or a circle around it, and ensure that we avoid it, that the u.s. military avoided that target and avoided the collateral damage and noncombatant deaths to innocence. thats actually not the way that russia operates under vladimir putin. >> trace: i wonder when the west starts to look at things differently. how many war crimes, how many atrocities, how many times do you break the ru...

Sanctions are a fairly blunt object but us officials from the 0bama administration do certainly believe in 2014, the first time russia invaded ukraine, sanctions to deter putin from pushing deeper into territory but its hard to know, it is hard to know what the kremlin�*s calculus is and whether or not this will determine them this time around. what other options do the us and west have? theyre keeping cards close to their chest but this is not the first rodeo with sanctions on russia. some li...

Amy mackinnon is a national security and intelligence correspondent with the foreign policy magazine in washington. she was previously based in moscow. she spoke about whether sanctions will have an effect this time. sanctions are a fairly blunt object but us officials from the 0bama administration do certainly believe in 2014, the first time russia invaded ukraine, sanctions did deter putin from pushing deeper into territory but its hard to know, it is hard to know what the kremlin�*s calculu...