The Analytical Theory of Heat |
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Page xiv
... correspond to values of x included between - and + must be regarded as entirely arbitrary . We may also choose any limits whatever for x • • 235. Divers remarks on the use of developments in trigonometric series · 204 206 SECTION VII ...
... correspond to values of x included between - and + must be regarded as entirely arbitrary . We may also choose any limits whatever for x • • 235. Divers remarks on the use of developments in trigonometric series · 204 206 SECTION VII ...
Page xxii
... correspond to existing values of the function f ( x ) . Every other value of x gives a nul result for f ( x ) • 418. The same remark applies to the general equation 1 1 = + 0 f ( x ) Σ ** daf ( a ) cos 2π i = -0 2in X ( x - a ) , the ...
... correspond to existing values of the function f ( x ) . Every other value of x gives a nul result for f ( x ) • 418. The same remark applies to the general equation 1 1 = + 0 f ( x ) Σ ** daf ( a ) cos 2π i = -0 2in X ( x - a ) , the ...
Page 16
... corresponds to the position of the source ; z is the highest temperature which the point m can attain by virtue of the constant action of the source , and this permanent temperature z is a function f ( x ) of the distance x . The first ...
... corresponds to the position of the source ; z is the highest temperature which the point m can attain by virtue of the constant action of the source , and this permanent temperature z is a function f ( x ) of the distance x . The first ...
Page 24
... corresponds exactly to a table of logarithms ; the numbers are the elevations of ther- mometers placed at the different points , and the logarithms are the distances of these points from the source . In general heat distributes itself ...
... corresponds exactly to a table of logarithms ; the numbers are the elevations of ther- mometers placed at the different points , and the logarithms are the distances of these points from the source . In general heat distributes itself ...
Page 25
... correspond also to physical properties . The first of these functions , or the fluxion properly so called , expresses in geometry the inclination of the tangent of a curved line , and in dynamics the velocity of a moving body when the ...
... correspond also to physical properties . The first of these functions , or the fluxion properly so called , expresses in geometry the inclination of the tangent of a curved line , and in dynamics the velocity of a moving body when the ...
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Common terms and phrases
2kt versin a₁ abscissa action actual temperature analysis arbitrary function axis b₁ b₂ body chaleur co-ordinates coefficient conducibility consider constant temperature convergent series cooling corresponding cosines curve d'v d'v d²v definite integrals denoting determine different points differential equations distance dv dv dv dx dx² enclosure equation dv expressed fixed temperature function f(x give given heat equal heat which escapes heat which flows Hence hypothesis infinitely small initial temperatures instant dt integral interior layers maintained mass mathematical analysis molecules movement of heat multiply ordinates parallel partial differential equations perature permanent temperature perpendicular plane prism problem propagation of heat quantity of heat radius ratio rays represented result satisfies second member sin x sines source of heat sphere substitute suppose theorems theory of heat thermometer unit of surface unknown variable vary
Popular passages
Page 470 - Bible, an edition such as, to use the words of the Editor, 'would have been executed long ago had this version been nothing more than the greatest and best known of English classics.' Falling at a time when the formal revision of this version, has been undertaken by a distinguished company of scholars and divines, the publication of this edition must be considered most opportune.