We say an edge e is "necessary" for the Minimum Spanning Tree T(G, E) if when we delete it, the weight of the MST increases. So we have that W(T(V, E \ {e})) > W(T(V, E))). Show that an edge e is necessary iff for every cycle C in G that contains it, e is not the maximum weight edge in this cycle (so there exists e 0 ∈ C such that we 0 > we)

Which one from below is not one of the reasons of planning failures? (clo3) a)-planner is careless. b-planner spend less time in the field but more time on the desk c)-planner is not qualified d)-planner does not have sufficient time to properly plan

What are the major differences between injection molding and extrusion?

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.