A connector assembly comprising: a first connector having a first mounting side that extends along a first plane, the first connector being configured to be mounted to a first circuit board along the first mounting side such that the first circuit board extends approximately parallel to the first plane; and a second connector configured to mate with the first connector, the second connector having a second mounting side that extends along a second plane that extends approximately perpendicular to the first plane, the second connector being configured to be mounted to a second circuit board along the second mounting side such that the second circuit board extends approximately parallel to the second plane, characterized in that: the second connector is configured to move relative to the first connector along a float axis that extends approximately perpendicular to the second plane after the first and second connectors (16, 18) are mated together to move the second circuit board into thermal communication with a conduction cooling member; and the first connector or the second connector comprises a plug that is received within a receptacle of the other of the first connector or the second connector when the first and second connectors (16, 18) are mated together, the plug having a width (W, W 1) that extends along the float axis, the receptacle having a width (W 2, W 3) that extends along the float axis, the width (W 2, W 3) of the receptacle being greater than the width (W, W 1) of the plug such that the plug is configured to move within the receptacle along the float axis when the first and second connectors (16, 18) are mated together. a first connector having a first mounting side that extends along a first plane, the first connector being configured to be mounted to a first circuit board along the first mounting side such that the first circuit board extends approximately parallel to the first plane; and a second connector configured to mate with the first connector, the second connector having a second mounting side that extends along a second plane that extends approximately perpendicular to the first plane, the second connector being configured to be mounted to a second circuit board along the second mounting side such that the second circuit board extends approximately parallel to the second plane, characterized in that: the second connector is configured to move relative to the first connector along a float axis that extends approximately perpendicular to the second plane after the first and second connectors (16, 18) are mated together to move the second circuit board into thermal communication with a conduction cooling member; and the first connector or the second connector comprises a plug that is received within a receptacle of the other of the first connector or the second connector when the first and second connectors (16, 18) are mated together, the plug having a width (W, W 1) that extends along the float axis, the receptacle having a width (W 2, W 3) that extends along the float axis, the width (W 2, W 3) of the receptacle being greater than the width (W, W 1) of the plug such that the plug is configured to move within the receptacle along the float axis when the first and second connectors (16, 18) are mated together. the second connector is configured to move relative to the first connector along a float axis that extends approximately perpendicular to the second plane after the first and second connectors (16, 18) are mated together to move the second circuit board into thermal communication with a conduction cooling member; and the first connector or the second connector comprises a plug that is received within a receptacle of the other of the first connector or the second connector when the first and second connectors (16, 18) are mated together, the plug having a width (W, W 1) that extends along the float axis, the receptacle having a width (W 2, W 3) that extends along the float axis, the width (W 2, W 3) of the receptacle being greater than the width (W, W 1) of the plug such that the plug is configured to move within the receptacle along the float axis when the first and second connectors (16, 18) are mated together.