Bourbaki

Index of notation

Df(x0)Df(x_0): 5 f′(x0)f'(x_0): 5 fd′(x0)f'_d(x_0): 6 fg′(x0)f'_g(x_0): 6 DfDf: 7 df/dxdf/dx: 7 fd′f'_d: 7 fg′f'_g: 7 DnfD^n f: 23 f(n)f^{(n)}: 23 ∫x0xf\int_{x_0}^x f: 61 ∫x0xf(t) dt\int_{x_0}^x f(t)\,dt: 61 ∫x0xf\int_{x_0}^x f: 61 ∫x0xf(t)dt\int_{x_0}^x f(t)dt: 61 h(t)∣x0xh(t)|_{x_0}^x: 62 ∫a(n)f\int_a^{(n)} f: 66 ∫1af(t) dt\int_1^a f(t)\,dt: 69 ee: 97 exp⁡x\exp x: 97 log⁡x$(\log x\$ (x\ real\$ > 0): 97 π\pi: 99 Arc⁡cos⁡x\operatorname{Arc}\cos x: 100 Arc⁡sin⁡x\operatorname{Arc}\sin x: 100 Arc⁡tan⁡x\operatorname{Arc}\tan x: 100 cos⁡x\cos x: 100 cot⁡x\cot x: 100 csc⁡x\csc x: 100 sec⁡x\sec x: 100 sin⁡x\sin x: 100 tan⁡x\tan x: 100 eze^z: 103 exp⁡z\exp z: 103 cos⁡z\cos z: 107 cot z: 107 log z: 105 sin z: 107 tan z: 107 cosh x: 108 sinh x: 108 tanh x: 108 Arg cosh x: 109 Arg sinh x: 109 Arg tanh: 110

(mn) \binom{m}{n}
: 114 eAe^A: 198 exp A: 198 H(F,V)\mathscr{H}(\mathfrak{F}, V): 221 R_\infty: 221 H∞(F,V)\mathscr{H}_\infty(\mathfrak{F}, V): 222 f_1 \preceq f_2: 223 f_2 \succeq f_1: 223 f \preceq g: 223 g \succeq f: 223 f + g: 223 fg: 223 f\lambda: 223 \|f\|: 223 f \asymp g: 224 f_1 \ll f_2: 225 f_2 \gg f_1: 225 f \ll g: 225 g \gg f: 225 f \sim g: 226 O(f), O_k(f), o(f), o_k(f): 230 l_0(x), l_n(x): 240 \mathscr{K}(y) (\mathscr{K} a Hardy field): 261 e_0(x), e_n(x): 265
∑k=0∞αkDk \sum_{k=0}^\infty \alpha_k D^k
: 285 B_n(X): 288 b_n: 288 U_\lambda^\xi(f(\xi)): 290 \Gamma(n), \Gamma(x): 317 \mathbf{B}(x, y): 324 \Gamma(z): 327

Transcribed from the printed volume. Not translated.