350 Mr. G. H. Knibbs : Mathematical Analysis of 

 14. General indications for farther investigation. 



From what has preceded, it will be seen that the aggre- 

 gate loss may be supposed to be made up in the following 

 way :— 



Skin Losses. 

 Evaporation of Water, &c, 

 ELO. 



from 



Argument (i.) Temperature (<£ or T). 

 (ii.) Dryness (£) 

 (iii.) Wind velocity (V) 

 (iv.) Other physical conditions (9). 

 (v.) Physiological conditions (ip). 

 (vi.) Weight of body (W). 



Losses from Respiratory System. 

 C0 2 and H 2 0. 



Arg. (i.) Temperature, 

 (ii.) Dryness. 

 (iii.) Physical condition, 

 (iv.) Physiological con- 

 ditions. 



Arg. (i.) Dryness. 



(ii.) Temperature, 

 (iii.) Other physical 



conditions. 



(iv.) Physiological 



conditions. 



Consequently, writing 6 for other unspecified physical 

 conditions and -\fr for physiological conditions, the formula 

 for total loss should, theoretically at least, take the form : 



E = A . U€, t, V, W) + Gfr(C, (, 6, f, W) + H0,(W, r, €, e, -f), (25) 



that is 



E = E + E 



+ E; 



E s denoting evaporation through the skin. Probably this 

 expression also should be a function of 6 and ty. 



The data presented in Professor Osborne's paper do not 

 permit, so far, an accurate determination of a formula for 

 the various losses. Suggestions are consequently made in 

 the light of the mathematical examination of the results 

 already furnished, as to what would appear to be essential. 



In order to quantitatively dissect the physiological from 

 the physical elements, in order, for example, to ascertain how 

 the rate of loss is influenced by conditions or by habit of 

 body (or by health, race, skin colour, adpiosity, &c), it 

 is essential to reduce the uncertainties connected with the 

 purely external or purely physical condition to a minimum. 

 'This will necessitate several things, viz. : 



(i.) The adequate control and the exact measurement of 

 the physical conditions of the experiments (in regard, 

 for example, to temperature, humidity, air move- 

 ment, and possibly other elements (<?. g. electrical 

 conditions, ionization of air, etc.). 



(ii.) The securing a sufficient range of variation in these 

 conditions to determine accurately the form of the 

 mathematical function representing them. 



