Benson D. — Mathematics and music :: Электронная библиотека попечительского совета мехмата МГУ

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Benson D. — Mathematics and music

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Название: Mathematics and music

Автор: Benson D.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 461

Добавлена в каталог: 28.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$a_m = \frac1\pi\int_0^{2\pi}\cos(m\theta)f(\theta)d\theta$       32
$b_m=\frac1\pi\int_0^{2\pi}\sin(m\theta)f(\theta)d\theta$       32
function      38
(complex exponential)      346
$i = \sqrt{-1}$       345
      123
$j = \sqrt{-1}$ (engineers)      347
$J_n{z)$       50 60 336
function      64
function      399
$s_m=\frac12a_0+\sum\limits_{n=1}^m\big(a_n\cos(n\theta)+b_n\sin(n\theta)\big)$       39
(Chebyshev polynomials)      277
      56
(complex number)      345
$z=e^{2\pi i\nu\Delta t}$       232
$z^{-1$ (delay)      233 243
$\bigcirc$       201
$\Delta t$ , time between samples      228
$\delta(t)$ , Dirac delta function      71 228
$\hat f=\int_{-\infty}^{+\infty}f(t)e^{-2\pi i\nu t}dt$       63
$\hbar$       63
$\mathbb R^2$       395
$\mathbb Z$ (integers)      292
$\mathbb Z/n$       299
$\mathbb Z^1$       215
$\mathbb Z^2$       216 303
$\mathbb Z^3$       219 303
$\rho$ (density)      83 101 113 122
$\sigma_m=(s_0+\ldots+s_m)/(m+1)$       39
11-limit      190
3-limit      190
5-limit      190
Aaron's meantone temperament      170
Aaron, Pietro (ca. 1480—1550)      0
ABC2MTeX      360
Abelian group      291
abs (CSound)      274
Absolute convergence      32
Absolute integrability      64
Absolute value      40 345
Academic computer music      361
Acceleration      14
Acid Wav (shareware)      357
Acoustic pressure      97 108 130
Acoustical Society of America      380
Acoustics      106 126 130 381 420—423 426—432 434
Acoustics, nonlinear      61
Additive synthesis      241
Adjoint operators      400
Admissibility condition      79
ADSR envelope      239
Adufe      106
Aeolian      378
Aeolsklavier      81
Aerophones      81
Africa      120
Agamemnon      280
Agricola's monochord      159
Agricola, Martin (1486—1556)      0
AIFF sound file      226 261
Air      1
Air, bulk modulus      97 130
Aleatoric composer (shareware)      361
Aleatoric music      434
Algorithm, DX7      256 258
Algorithm, Euclid's      148 201 300
Algorithm, inductive      194
Algorithm, Karplus — Strong      245 261
Aliasing      231
Alpha scale (Carlos)      187 209 364
Alternate tunings group      356
Alternating group      316
Alternative, Fredholm      401
Aluminum      118
Alves, Bill      390
AM radio      248
American Math Monthly      379
Amplification      234
Amplifier      10 241
Amplifier, response      44
Amplitude      2 12 19—21
Amplitude, instantaneous      78
Amplitude, modulation      248
Amplitude, peak      16 19
Amplitude, RMS      19
AMSLaTeX      xii
Analog modeling synthesizer      61
Analog signal      222
Analog synthesizer      61 240 393
Angular velocity $\omega=2\pi\nu$       16 26
Animals, hearing range of      9
answers to exercises      322
Antanairesis      148
Anvil      3
Apical      5
Apotome, Pythagorean      148 164 364
Approximation, rational      193—201
Approximation, Weierstrass, theorem      401
Archytas of Tarentum (428—365 B.C.)      182
Arctan function      196
Area density      101 122
Area in polar coordinates      65
Argument      345
Aristotle (384—322 B.C.)      x
Aristoxenus (ca. 364—304 B.C.)      187
Arithmetic, clock      298
Aron      see Aaron
Art Song (shareware)      361
Artifacts      231
Arzela — Ascoli theorem      411
Ascending and descending (Escher)      144
Ascending node      200
ASCII      262 265
Asselin, Pierre-Yves (1950- )      420
Associative law      75 291
Astronomy      136
Atari      357
Atonal music      186 311
Attack      239
AU sound file      226
Auditory canal      3
Augmented triad      305
Aulos      155 348
Auricle      3
Authentic mode      377
Auxiliary equation      22
AVI movie file      225
Babbitt, Milton      311
Bach, Goldberg Variation 25      359
Bach, J.S. (1685—1750)      0
Bach, Jesu, der du meine Seele      168
Bach, Musical Offering      282
Bach, Organ Music (Fagius)      178 390
Bach, P. D. Q. (1807—1742)?      288 321
Bach, Partitia no. 5, Gigue      167
Bach, Toccata and Fugue in D      280
Bach, Toccata in $F\sharp$ minor      174
Bach, Well Tempered Clavier      173
Backus, John (1911—1988)      420
Badings, Henk      207
Bagel      204
Baggi, Denis      420
Bailhache, Patrice      420
Balafon      81
balance      4
Balinese gamelan      187
Bamboo marimba (Partch)      189
Band Pass Filter      138
Bandwidth      28
Bandwidth, critical      137 138

Barbour, J. Murray (1897—??)      421
Barca, Alessandro      176
Barker, Andrew      187
Barlow, Clarence      206 390
Barnes, John      177 178
Baroque music      165
Bartok, Bela (1881—1945)      0
Bartok, Fifth string quartet      280
Bartok, Music for strings, percussion and celesta      286
Basal end of cochlea      5
Base of natural logarithms      196
Basilar membrane      5 14 138
Basis for a lattice      216
Bass clef      355 373
Bass singer      11
Bassoon      273
Baud rate, MIDI      228
bc -l      343
Beam equation, Euler — Bernoulli      115
Beat, dead      23
Beats      16 180 363
Beauty in the Beast (Carlos)      186
Beethoven, Ludwig van (1770—1827)      186 279 392
Bekesy, Georg von (1899—1972)      6 421
Bel (= 10 dB)      9
Bell      126
Bell, (FM & CSound)      269
Bell, change ringing      294
Bell, tubular      112
Benade, Arthur H.      421
Bendeler's temperaments      174 175
Bendeler, P. (1654—1709)      0
Bending moment      113
Benedetti, Giovanni Battista (1530—1590)      156
Berg and Stork      421
Berg, Alban (1885—1935)      310
Bernoulli solution of wave equation      89
Bernoulli, Daniel (1700—1782)      30 115
Bessel function      49—58 60 253 336
Bessel function, book about      433
Bessel function, computation of      343
Bessel function, graph of      51
Bessel function, horn      111
Bessel function, hyperbolic      123
Bessel function, Neumann's      56
Bessel function, power series for      56
Bessel function, zeros of      103 341
Bessel's equation      55
Bessel, F.W. (1784—1846)      0
Beta scale (Carlos)      187 210 364
Bewitched, The (Partch)      393
Bible      195
Bibliography      420
Bifurcation      258
Bijective function      296
Binary representation      222
Birdsong      428
birnd (CSound)      275
Blackwood, Easley (1933- )      206 390 421
Blake, William (1757—1827)      286
Blend factor      247
Block diagram (DX7)      253
Block, periodicity      215 218 307
Bocher, Maxime (1867—1918)      44
Boethius, Anicius Manlius Severinus (ca. 480—524 A.D.)      155 386
Bohlen — Pierce scale      147 211 363
Bologna State Museum      208
Bolzano — Weierstrass theorem      410
Bombelli, Rafael (1526—1572)      193
Boo I (Partch)      189
Books      xi
Borrmann, Rudiger      357
Bosanquet, Robert H. M. (1841—1912)      202
Bottle, plucked      247
Boulanger, Nadia (1887—1979)      211
Boulanger, Richard Charles (1956— )      214 275 421
boundary conditions      86 395
Bounded sequence      410
Bowed string      40 92
BP intervals      212 213
BP-just scale      213
brass      110 259 382
Brightness      241
Brombaugh, John (organ builder)      172
Brouncker, William (1620—1684)      196
Brown noise      69
Brown, Colin      164
Brownian motion      38 69
Brun, Viggo (1885—1978)      201
bulk modulus      97 130
Bullroarer      81
Burnside's Lemma      308 318
Burnside, William (1852—1927)      0
Buser and Imbert      422
Buxtehude, Dietrich (ca. 1637—1707)      390
Byrd, William (1543—1623)      172 288 391
C programming language      261
C++, Bessel calculator      343
C++, Synthesis Toolkit      358
Cakewalk (software)      360
Calculus, Fundamental Theorem of      368
Calculus, vector      107
Calm temperaments      179
Calvin and Hobbes      45
Campanology      294
Campbell and Greated      422
Canal, auditory      3
Canal, semicircular      4
Cancrizans      282
Canon      348
Canon, retrograde/crab      282
Canonici      348
Capacitor      249
Cards, shuffling      320
Carlos, Wendy (1939— )      186 190 209 364 391
Carpenter, Charles      215 391
Carrier frequency      249
Carry feature (CSound)      268
Carter, Elliott      311
Cartesian coordinates      345 388
Cartesian product      303
Cascade modulation      256
Casio      358
Castine, Peter      422
Cataldi, P.A. (1548—1623)      193
Category theory      429
Cathode ray tube      44
Cauchy principal value      64
Cauchy sequence      399
Cauchy's integral formula      58
Cauchy, Augustin Louis (1789—1857)      0
Caus's monochord      159
Caus, Salomon de (ca. 1576—1626)      0
Causality      76
CD-ROM, Neuwirth      430
Cello      170
Centroid      115
Cents      11 150 364 371
Cepstrum      77 382
Cesaro sum      39 42 46
Cesaro, Ernesto (1859—1906)      0
Chain rule, multivariable      85 388
Chain, ossicular      3
Chalmers, John (1940— )      191
Champion de Chambonnieres, Jacques (1602—1672)      393
Change ringing      294
Chao Jung-Tze      195
Chaos      39 258 261 381 384 385
Character theory      417
Chaw, Ousainou      92

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