1. Nearly a decade after his supposed demise at Switzerland's Reichenbach Falls, Professor Moriarty-organizer

of half that is evil and of nearly all that is undetected in London-plots to exact a sinister revenge from nemesis

Sherlock Holmes. On a warm summer's night in 1902, Moriarty kills Scotland Yard's detective Lestrade and

plants Holmes famous pipe and cap near the body. The body is discovered by the London police. Holmes is

arrested at Scotland Yard's insistence and is denied access to any particulars from the crime scene.

Despite an absence of motive, the circumstantial evidence incriminating Holmes must be countered with an

alibi. Dr. Watson review the facts:

(a) Holmes attended an eight o'clock concert on the night in question. The great Belgian violinist Eugène

Ysaje himself can testify to Holmes' presence in the audience until eleven o'clock, but no one saw Holmes

thereafter until his arest.

(b) Medical Examiner Jondan measured the temperature Time of Lestrade's remains twice at the scene of

the crime. Their temperature at midnight, when Jordan first arrived, was 80°F their temperature one hour

later was 75°F. The night air remained a steady Tax=70°F all the while, as it had since sunset.

A physician by trade, Watson is confident that Lestrade's body temperature must have been 98.6°F at the time of

his dispatch. A dilettante mechanical engineer on the side, Watson also knows that convective heat loss would

have caused the temperature of Lestrade's body to vary according to the differential equation

as the body lay in the street. Here 3 is a constant related to both Lestrade's physical composition and the

atmosphere common to London's alleyways

But when did Lestrade die? Can Holmes be exonerated?