index to volume 200 (a) -...

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INDEX TO VOLUME 200 (A) Alexander, A. E. & Gray, V. R. Aluminium soaps, their nature and gelling properties, 162. Alexander, A. E. & Rabinovitoh, B. The swelling and solubility of celluslose acetate in benzene/xylenol mixtures, 154. Alkyl nitrite vapours, inflammation (Gray & Yoffe), 114. Allene, vibration-rotation bands (Miller & Thompson), 1. Alloys, structure (Davis & Hume-Rothery), 441. Aluminium soaps, their nature and gelling properties (Alexander & Gray), 162. Ammonia and amines, dimerization (Lambert & Strong), 566 Asymptotic distribution of eigenvalues (De Wet & Mandl), 572. Baskett, A. C. & Hinshelwood, Sir Cyril. The utilization of carbon sources by ladis aerogenes. I. General survey (Abstract), 438. Baskett, A. C. & Hinshelwood, Sir Cyril. The utilization of carbon sources by Bad. ladis aerogenes. II. The significance of the tricarboxylic acid cycle (Abstract), 439.. Bengough, W. I. & Norrish, R. G. W. The mechanism and kinetics of the heterogeneous polymerization of vinyl monomers. I. The benzoyl peroxide catalyzed polymeriza- tion of vinyl chloride, 301. Bottomley, G. A., Massie, Doreen S. & Whytlaw-Gray, R. A comparison of the compressi- bilities of some gases with that of nitrogen at pressures below one atmosphere, 201. Boundary layers (Stewartson), 84. Boys, S. F. Electronic wave functions. I. A general method of calculation for the stationary states of any molecular system, 542. Bubbles, mechanics of (Davies & Taylor), 375. Chandrasekhar, S. On Heisenberg’s elementary theory of turbulence, 20. Characters of a collineation group in five dimensions (Todd), 320. Class of enumerations of importance in genetics (Abstract) (Fisher), 438. Cole, A. R. H. & Thompson, H. W. Vibration-rotation bands of some polyatomic mole- cules, 10. Combustion products of explosives, dynamics (Taylor), 235. Comparison of the compressibilities of some gases with that of nitrogen at pressures below one atmosphere (Bottomley, Massie & Whytlaw-Gray), 201. Compressibilities of gases (Bottomley, Massie & Whytlaw-Gray), 201. Configurational interaction in molecular orbital theory. A higher approximation in the non-empirical method (Craig), 474. Copolymerization studies (Melville & Valentine), 358. Correlated incompressible and compressible boundary layers (Stewartson), 84. Craig, D. P. Configurational interaction in molecular orbital theory. A higher approxima- tion in the non-empirical method, 474. Craig, D. P. Polar structures in the theory of conjugated molecules. I. Identification of the ethylene 7r-electron states, 272. Craig, D. P. Polar structures in the theory of conjugated molecules. II. Symmetry properties and matrix elements for polar structures, 390. Craig, D. P. Polar structures in the theory of conjugated molecules. III. The energy levels of benzene, 401. Curtis, A. R. The velocity of sound in general relativity, with a discussion of the problem of the fluid sphere with constant velocity of sound, 248. Davies, C. N. The sedimentation and diffusion of small particles, 100. Davies, R. M. & Taylor, Sir Geoffrey. The mechanics of large bubbles rising through extended liquids and through liquids in tubes, 375. Davis, R. J. & Hume-Rothery, W. The effect of thermal cycles on the structure of alloys: diffusion effects in two phase alloys, 441. De Wet, J. S. & Mandl, F. On the asymptotic distribution of eigenvalues, 572. [ 581 ]

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INDEX TO VOLUME 200 (A)Alexander, A. E. & Gray, V. R. Aluminium soaps, their nature and gelling properties, 162.Alexander, A. E. & Rabinovitoh, B. The swelling and solubility of celluslose acetate in

benzene/xylenol mixtures, 154.Alkyl nitrite vapours, inflammation (Gray & Yoffe), 114.Allene, vibration-rotation bands (Miller & Thompson), 1.Alloys, structure (Davis & Hume-Rothery), 441.Aluminium soaps, their nature and gelling properties (Alexander & Gray), 162.Ammonia and amines, dimerization (Lambert & Strong), 566Asymptotic distribution of eigenvalues (De Wet & Mandl), 572.

Baskett, A. C. & Hinshelwood, Sir Cyril. The utilization of carbon sources by ladis aerogenes.I. General survey (Abstract), 438.

Baskett, A. C. & Hinshelwood, Sir Cyril. The utilization of carbon sources by Bad. ladis aerogenes. II. The significance of the tricarboxylic acid cycle (Abstract), 439..

Bengough, W. I. & Norrish, R. G. W. The mechanism and kinetics of the heterogeneous polymerization of vinyl monomers. I. The benzoyl peroxide catalyzed polymeriza­tion of vinyl chloride, 301.

Bottomley, G. A., Massie, Doreen S. & Whytlaw-Gray, R. A comparison of the compressi­bilities of some gases with that of nitrogen at pressures below one atmosphere, 201.

Boundary layers (Stewartson), 84.Boys, S. F. Electronic wave functions. I. A general method of calculation for the

stationary states of any molecular system, 542.Bubbles, mechanics of (Davies & Taylor), 375.

Chandrasekhar, S. On Heisenberg’s elementary theory of turbulence, 20.Characters of a collineation group in five dimensions (Todd), 320.Class of enumerations of importance in genetics (Abstract) (Fisher), 438.Cole, A. R. H. & Thompson, H. W. Vibration-rotation bands of some polyatomic mole­

cules, 10.Combustion products of explosives, dynamics (Taylor), 235.Comparison of the compressibilities of some gases with that of nitrogen at pressures below

one atmosphere (Bottomley, Massie & Whytlaw-Gray), 201.Compressibilities of gases (Bottomley, Massie & Whytlaw-Gray), 201.Configurational interaction in molecular orbital theory. A higher approximation in the

non-empirical method (Craig), 474.Copolymerization studies (Melville & Valentine), 358.Correlated incompressible and compressible boundary layers (Stewartson), 84.Craig, D. P. Configurational interaction in molecular orbital theory. A higher approxima­

tion in the non-empirical method, 474.Craig, D. P. Polar structures in the theory of conjugated molecules. I. Identification of

the ethylene 7r-electron states, 272.Craig, D. P. Polar structures in the theory of conjugated molecules. II. Symmetry

properties and matrix elements for polar structures, 390.Craig, D. P. Polar structures in the theory of conjugated molecules. III. The energy

levels of benzene, 401.Curtis, A. R. The velocity of sound in general relativity, with a discussion of the problem

of the fluid sphere with constant velocity of sound, 248.

Davies, C. N. The sedimentation and diffusion of small particles, 100.Davies, R. M. & Taylor, Sir Geoffrey. The mechanics of large bubbles rising through

extended liquids and through liquids in tubes, 375.Davis, R. J. & Hume-Rothery, W. The effect of thermal cycles on the structure of alloys:

diffusion effects in two phase alloys, 441.De Wet, J. S. & Mandl, F. On the asymptotic distribution of eigenvalues, 572.

[ 581 ]

582 Index

Diffraction of blast. II. (Lighthill), 554.Dimerization of ammonia and amines (Lambert & Strong), 566.Discussion on the physics and chemistry of hydrocarbon gels (Rideal and others), 135.Dynamics of the combustion products behind plane and spherical detonation fronts in

explosives (Taylor), 235.Eddy, A. A. & Hinshelwood, Sir Cyril. The utilization of potassium by ladia

oerogenes (Abstract), 439.Effect of thermal cycles on the structure of alloys: diffusion effects in two phase alloys

(Davis & Hume-Rothery), 441.Electronic wave functions. I. A general method of calculation for the stationary states

of any molecular system (Boys), 542.Equilibrium swelling of cross-linked amorphous polymers (Treloar), 176.Experiments on the superconductive transition (Macdonald & Mendelssohn), 66.Factors which affect the gelling characteristics of aluminium soaps (Parry, Roberts &

Taylor), 148.Fisher, R. A. A class of enumerations of importance in genetics (Abstract), 438.Flash photolysis and spectroscopy. A new method for the study of free radical reactions

(Porter), 284.Formulation of rheological equations of state (Oldroyd), 523.Foster, E. W. New terms of the 5d86s2 and 5#6s6® configurations of the spectrum of

Hg in, 429.Frank, F. C. & Merwe, J. H. van der. One-dimensional dislocations. III. Influence of the

second harmonic term in the potential representation, on the properties of the model, 125.

Garner, F. H., Nissan, A. H. & Wood, G. F. The rheology of ‘elastic* non-Newtonian fluids (summary), 189.

Garner, F. H., Nissan, A. H. & Wood, G. F. Thermodynamics and rheological behaviour of elasto-viscous systems under stress (summary), 188.

Gelation of aluminium soaps in hydrocarbon (McRoberts & Schulman), 136.Goldsbrough, G. R. The tides in oceans on a rotating globe. V, 191.Gray, P. & Yoffe, A. D. The inflammation of alkyl nitrate vapours and the effect of inert

diluents, 114.Gray, V. R. See Alexander & Gray.Heisenberg’s elementary theory of turbulence (Chandrasekhar), 20.Hinshelwood, Sir Cyril. See Baskett & Hinshelwood; also Eddy & Hinshelwood; also

Stubbs & Hinshelwood.Hume-Rothery, W. See Davis & Hume-Rothery.Huxley, L. G. H. Ionospheric cross-modulation at oblique incidence, 486.Hydrocarbon gels (Discussion) (Rideal and others), 135.

Inflammation of alkyl nitrate vapours and the effect of inert diluents (Gray & Yoffe), 114.Ionospheric cross-modulation at oblique incidence (Huxley), 486.

Kinetics of the thermal decomposition of normal paraffin hydrocarbons. I. The inhibition of chains and the nature of the residual reaction (Stubbs & Hinshelwood), 458.

Lambert, J . D., Staines, E. N. & Woods, S. D. Thermal conductivities of organic vapours, 262.

Lambert, J. D. & Strong, E. D. T. The dimerization of ammonia and amines, 566.Lighthill, M. J. The diffraction of blast. II, 554.Macdonald, D. K. C. & Mendelssohn, K. Experiments on the superconductive transition,

66.Mandl, F. See De Wet & Mandl.

Index 583

Massie, Doreen S. See Bottomley, Massie & Whytlaw-Gray.McRoberts, T. S. & Schulman, J. H. Gelation of aluminium soaps in hydrocarbon, 136.Mechanics of large bubbles rising through extended liquids and through liquids in tubes

(Davies & Taylor), 375.Mechanism and kinetics of the heterogeneous polymerization of vinyl monomers. I. The

benzoyl peroxide catalyzed polymerization of vinyl chloride (Bengough & Norrish), 301.

Melville, H. W. & Valentine, L. Studies in copolymerization. I. The evaluation of the kinetic coefficients for the copolymerization of styrene and ethyl methacrylate, 337.

Melville, H. W. & Valentine, L. Studies in copolymerization. II. A discussion of the validity of the results and some theoretical implications, 358.

Mendelssohn, K. See MacDonald & Mendelssohn.Merwe, J. H. van der. See Frank & van der Merwe.

.Miller, C. H. & Thompson, H. W. Vibration-rotation bands of allene, 1.Milne, E. A. The relativity of Galilean frames, 219.Moffit, W. The nature of the sulphur-oxygen bond, 409.

Nature of the sulphur-oxygen bond (Moffit), 409.New terms of the 5dd6s2 and 5d86s6p configurations of the spectrum of Hg in (Foster), 429.Nissan, A. H. See Garner, Nissan & Wood.Norrish, R. G. W. See Bengough & Norrish.Nye, J. F. Plastic deformation of silver chloride. II. Photoelastic study of the internal

stresses in glide packets, 47.

Oldroyd, J. G. On the formulation of rheological equations of state, 523.One-dimensional dislocations. III. Influence of the second harmonic term in the potential

representation, on the properties of the model (Frank and van der Merwe), 125.Organic vapours, thermal conductivities (Lambert, Staines & Woods), 262.

Paraffin hydrocarbons, decomposition (Stubbs & Hinshelwood), 458.Parry, G. A., Roberts, JT. E. & Taylor, A. J. Factors which affect the gelling characteristics

of aluminium soaps, 148.Perturbation theory (Titchmarsh), 34.Plastic deformation of silver chloride. II. Photoelastic study of the internal stresses in

glide packets (Nye), 47.Polar structures in the theory of conjugated molecules (Craig), I. Identification of the

ethylene 7T-electron states, 272.Polar structures in the theory of conjugated molecules (Craig), II. Symmetry properties

and matrix elements for polar structures, 390.Polar structures in the theory of conjugated molecules (Craig), III. The energy levels of

benzene, 401.Polymerization of vinyl monomers (Bengough & Norrish), 301.Porter, G. Flash photolysis and spectroscopy. A new method for the study of free radical

reactions, 284.

Rabinovitch, B. See Alexander & Rabinovitch.Relativity of Galilean frames (Milne), 219.Rheological equations of state (Oldroyd), 523.Rheology of ‘elastic’ non-Newtonian fluids (summary) (Garner, Nissan & Wood), 189.Rheology of hydrocarbon gels (summary) (Weissenberg), 183.Rideal, E. K. (and others). A discussion on the physics and chemistry of hydrocarbon gels

(opening remarks), 136.Rivlin, R. S. Some flow properties of concentrated high-polymer solutions, 168.Roberts, J. E. See Parry, Roberts & Taylor.

584 Index

Schulman, J. S. See McRoberts & Schulman.Sedimentation and diffusion of small particles (Davies), 100.Silver chloride, plastic deformation (Nye), 47.Some flow properties of concentrated high-polymer solutions (Rivlin), 168.Some theorems on perturbation theory (Titchmarsh), 34.Staines, E. N. See Lambert, Staines & Woods.Stewartson, K. Correlated incompressible and compressible boundary layers, 84.Strong, E. D. T. See Lambert & Strong.Stubbs, F. J . & Hinshelwood, Sir Cyril. The kinetics of the thermal decomposition of

normal paraffin hydrocarbons. I. The inhibition of chains and the nature of the residual reaction, 458.

Studies in copolymerization (Melville & Valentine), I. The evaluation of the kinetic coefficients for the copolymerization of styrene and methyl methacrylate, 337.

Studies in copolymerization (Melville & Valentine), II. A discussion of the validity of the results and some theoretical implications, 358.

Sulphur-oxygen bond (Moffitt), 409.Superconductive transition (MacDonald & Mendelssohn), 66.Supersonic flow of compressible fluid through axially symmetric tubes of uniform and

varying section (Tempest), 511.Swelling and solubility of cellulose acetate in benzene/xylenol mixtures (Alexander &

Rabinovitch), 154.Taylor, A. J. See Parry, Roberts & Taylor.Taylor, Sir Geoffrey. See Davies & Taylor.Taylor, Sir Geoffrey. The dynamics of the combustion products behind plane and spherical

detonation fronts in explosives, 235.Tempest, R. K. The supersonic flow of compressible fluid through axially symmetric tubes

of uniform and varying section, 511.Thermal conductivities of organic vapours (Lambert, Staines & Woods), 262. Thermodynamics and rheological behaviour of elasto-viscous systems under' stress

(summary) (Gamer, Nissan & Wood), 188.Thompson, H. W. See Miller & Thompson; also Cole & Thompson.Tides in oceans on a rotating globe. V (Goldsbrough), 191.Titchmarsh, E. C. Some theorems on perturbation theory, 34.Todd, J . A. The characters of a collineation group in five dimensions, 320.Treloar, L. R. G. The equilibrium swelling of cross-linked amorphous polymers, 176.Utilization of carbon sources by Bad. lactis aero (Abstract) (Baskett & Hinshelwood).

I. General survey, 438.Utilization of carbon sources by Bad. ladis aerogenes (Abstract) (Baskett & Hinshelwood).

II. The significance of the tricarboxylic acid cycle, 439.Utilization of potassium by Bad. ladis aerogenes (Abstract) (Eddy & Hinshelwood), 439.Valentine, L. See Melville & Valentine.Velocity of sound in general relativity, with a discussion of the problem of the fluid sphere

with constant velocity of sound (Curtis), 248.Vibration-rotation bands of allene (Miller & Thompson), 1.Vibration-rotation bands of some polyatomic molecules (Cole & Thompson), 10.Weissenberg, K. Rheology of hydrocarbon gels (summary), 183.Whytlaw-Gray, R. See Bottomley, Massie & Whytlaw-Gray.Wood, G. F. See Gamer, Nissan & Wood.Woods, S. D. See Lambert, Staines & Woods.Yoffe, A. D. See Gray & Yoffe.

END OF THE TWO HUNDREDTH VOLUME (SERIES A)

PROCEEDINGSOF TH E

ROYAL SOCIETY OF LONDON

SERIES A. M ATHEM ATICAL AND PHYSICAL SCIENCES

V O L 2 0 0

Published by the Royal Society Burlington House

Piccadilly London, W.i

FIRST PRINTED IN GREAT BRITAIN FOR THE ROYAL SOCIETY AT THE UNIVERSITY PRESS, CAMBRIDGE

REPRINTED IN GREAT BRITAIN BY OFFSET-LITHO BY BUTLER & TANNER LTD. FROME AND LONDON ( i 9 6 0 )

SERIES A VOLUME 200

CONTENTS

No. A 1060. 22 December 1949PAGE

Vibration-rotation bands of allene. By C. H. Miller and H. W. Thompson, F.R.S. I

Vibration-rotation bands of some polyatomic molecules* By A. R. H. Cole andH. W. Thompson, F.R.S............................................................................................... 10

On Heisenberg’s elementary theory of turbulence. By S. Chandrasekhar, F.R.S. 20

Some theorems on perturbation theory. By E. C. Titchmarsh, F.R.S. . . 34

Plastic deformation of silver chloride. II. Photoelastic study of the internal stressesin glide packets. By J. F. Nye. (Plates 1 to 4 ) ............................................ 47

Experiments on the superconductive transition. By D. K. C. MacDonald andK. M endelssohn .........................................................................................................66

Correlated incompressible and compressible boundary layers. By K. Stewartson 84

The sedimentation and diffusion of small particles. By C. N. Davies . . . 100

The inflammation of alkyl nitrate vapours and the effect of inert diluents. ByP. Gray and A. D. Y o f i f e ............................................ ........ . . . 114

One-dimensional dislocations. III. Influence of the second harmonic term in the potential representation, on the properties of the model. By F. C. Frank and J. H. van der M e r w e ..............................................................................................126

No. A 1061. 6 January 1960

A discussion on the physics and chemistry of hydrocarbon gels. By E . K. Rideal,F.R.S. and others. (Plate 6) . 1 3 6

The tides in oceans on a rotating globe. V. By G. R. Goldsbrough, F.R.S. . 191A comparison of the compressibilities of some gases with that of nitrogen at

pressures below one atmosphere. By G. A. Bottomley, Doreen S. Massie andR. Whytlaw-Gray, F.R.S.................................................. 201

The relativity of Galilean frames. By E. A. Milne, F .R .S . ................................... 219The dynamics of the combustion products behind plane and spherical detonation

fronts in explosives. By Sir Geoffrey Taylor, F.R.S......................................... 235

The velocity of sound in general relativity, with a discussion of the problem of thefluid sphere with constant velocity of sound. By A. R. Curtis . . . 248

Thermal conductivities of organic vapours. By J. D. Lambert, E. N. Staines andS. D. Woods . v .................................................................................... 262

Polar structures in the theory of conjugated molecules. I. Identification of theethylene ^-electron states. By D. P. Craig . . . . . . . 272

Flash photolysis and spectroscopy. A new method for the study of free radicalreactions. By G. Porter. (Plates 6 to 8 ) .....................................................284

No. A 1062. 7 February 1950

The mechanism and kinetics of the heterogeneous polymerization of vinyl mono­mers. I. The benzoyl peroxide catalyzed polymerization of vinyl chloride. By W. I. Bengough and R. G. W. Norrish, F.R.S. . . . . .

The characters of a collineation group in five dimensions. By J . A. Todd, F.R.S. Studies in copolymerization. I. The evaluation of the kinetic coefficients for the

copolymerization of styrene and methyl methacrylate. By H. W. Melville, F.R.S. and L. Valentine . . . . . .

Studies in copolymerization. II. . A discussion of the validity of the results and some theoretical implications. By H. W. Melville, F.R.S. and L. Valentine

The mechanics of large bubbles rising through extended liquids and through liquids in tubes. By R. M. Davies and Sir Geoffrey Taylor, F.R.S. . .

Polar structures in the theory of conjugated molecules. II. Symmetry properties and matrix elements for polar structures. By D. P. Craig . . . .

Polar structures in the theory of conjugated molecules. III. The energy levels of benzene. By D. P. Craig . . . . . . . . . .

The nature of the sulphur-oxygen bond. By W. Moffitt . . . . .New terms of the 5d®65a and 5d86s6p configurations of the spectrum of Hg m.

By E. W. F o s te r ......................................................................A class of enumerations of importance in genetics. By R. A. Fisher, F.R.S.

(Abstract) . .................................................................................................The utilization of carbon sources by Bact. lactis aerogenes. I. General survey.

By A. C. Baskett and Sir Cyril Hinshelwood, F.R.S. (Abstract) .The utilization of carbon sources by Bad. lactis aerogenes. II. The significance of

the tricarboxylic acid cycle. By A. C. Baskett and Sir Cyril Hinshelwood,F.R.S. (Abstract) . . . . ......................................................

The utilization of potassium by Bad. lactis aerogenes. By A. A. Eddy and Sir Cyril Hinshelwood, F.R.S. With an Appendix by C. J. Danby, A. A. Eddy and Sir Cyril Hinshelwood, F.R.S. (Abstract) . . . . . .

No. A 1063. 22 February 1950The effect of thermal cycles on the structure of alloys: diffusion effects in two phase

alloys. By R. J. Davis and W. Hume-Rothery, F.R.S. . . . . The kinetics of the thermal decomposition of normal paraffin hydrocarbons. I. The

inhibition of chains and the nature of the residual reaction. By F. J. Stubbs and Sir Cyril Hinshelwood, F.R.S. . . . . ..

Configurational interaction in molecular orbital theory. A higher approximationin the non-empirical method. By D. P. Craig .............................................

Ionospheric cross-modulation at oblique incidence. By L. G. H. HuxleyThe supersonic flow of compressible fluid through axially symmetric tubes of

uniform and varying section. By R. K. Tem pest.............................................On the formulation of rheological equations of state. By J. G. Oldroyd Electronic wave functions. I. A general method of calculation for the stationary

states of any molecular system. By S. F. B o y s .............................................The diffraction of blast. II. By M. J. Lighthill . . .The dimerization of ammonia and amines. By J. D. Lambert and E. D. T. Strong On the. asymptotic distribution of eigenvalues. By J. S. de Wet and F. Mandl . I n d e x ..................................................... ......................................................................

iv Contents

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358

375

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429

438

438

439

439

441

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511523

542554566572581

CONTENTS

The effect of thermal cycles on the structure of alloys: diffusion effects in two phase alloys. By R. J. DAVIS and W. HUME-ROTHERY, F.R.S. .

The kinetics of the thermal decomposition of normal paraffin hydrocarbons. I. The inhibition of chains and the nature of the residual reaction. By F. J. STUBBS and SIR CYRIL HINSHELWOOD, F.R.S.

Configurational interaction in molecular orbital theory. A higher approxima­tion in the non-empirical method. By D. P. CRAIG

Ionospheric cross-modulation at oblique incidence. By L. G. H. HUXLEY

The supersonic flow of compressible fluid through axially symmetric tubes of uniform and varying section. By R. K. TEMPEST . . . .

On the formulation of rheological equations of state. By J. G. OLDROYD

Electronic wave functions. I. A general method of calculation for the stationary states of any molecular system. By S. F. BOYS .

The diffraction of blast. II. By M. J. LIGHTHILL. . . . .

The dimerization of ammonia and amines. By J. D. LAMBERT and E. D. T. STRONG . . . .

On the asymptotic distribution of eigenvalues. By J. S. de WET and F. MANDL .......................................................................................................

Index . . . . . . . . . . . . .

FIRST PRINTED IN GREAT BRITAIN FOR THE ROYAL SOCIETY AT THE UNIVERSITY PRESS, CAMBRIDGE

REPRINTED IN GREAT BRITAIN BY OFFSET-UTHO BY BUTLER & TANNER LTD ., FROME AND LONDON (i960)

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