@@ Property / constraint @@
+ ${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{2}{3}\pi-\delta}}$ 
|\phase@@{z}|\leq\tfrac{2}{3}\pi-\delta
+Normal rank
@@ Property / Symbols used @@
+Q10919
@@ Property / Symbols used: Q10919 / rank @@
+Normal rank
@@ Property / Symbols used: Q10919 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$ 
\AiryAi@{\NVar{z}}
@@ Property / Symbols used: Q10919 / qualifier @@
+xml-id: C9.S2.SS1.m1abdec
@@ Property / Symbols used @@
+Q10931
@@ Property / Symbols used: Q10931 / rank @@
+Normal rank
@@ Property / Symbols used: Q10931 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympexp
@@ Property / Symbols used: Q10931 / qualifier @@
+xml-id: C2.S1.SS3.p1.m11addec
@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2afdec
@@ Property / Symbols used @@
+cosine function
@@ Property / Symbols used: cosine function / rank @@
+Normal rank
@@ Property / Symbols used: cosine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\cos\NVar{z}}}$ 
\cos@@{\NVar{z}}
@@ Property / Symbols used: cosine function / qualifier @@
+xml-id: C4.S14.E2.m2adec
@@ Property / Symbols used @@
+Q10817
@@ Property / Symbols used: Q10817 / rank @@
+Normal rank
@@ Property / Symbols used: Q10817 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\operatorname{ph}}}$ 
\phase
@@ Property / Symbols used: Q10817 / qualifier @@
+xml-id: C1.S9.E7.m1addec
@@ Property / Symbols used @@
+sine function
@@ Property / Symbols used: sine function / rank @@
+Normal rank
@@ Property / Symbols used: sine function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sin\NVar{z}}}$ 
\sin@@{\NVar{z}}
@@ Property / Symbols used: sine function / qualifier @@
+xml-id: C4.S14.E1.m2adec
@@ Property / Symbols used @@
+Q11385
@@ Property / Symbols used: Q11385 / rank @@
+Normal rank
@@ Property / Symbols used: Q11385 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle k}}$ 
k
@@ Property / Symbols used: Q11385 / qualifier @@
+xml-id: C9.S1.XMD1.m1edec
@@ Property / Symbols used @@
+Q11381
@@ Property / Symbols used: Q11381 / rank @@
+Normal rank
@@ Property / Symbols used: Q11381 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11381 / qualifier @@
+xml-id: C9.S1.XMD3.m1edec
@@ Property / Symbols used @@
+Q11386
@@ Property / Symbols used: Q11386 / rank @@
+Normal rank
@@ Property / Symbols used: Q11386 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\delta}}$ 
\delta
@@ Property / Symbols used: Q11386 / qualifier @@
+xml-id: C9.S1.XMD4.m1ddec
@@ Property / Symbols used @@
+change of variable (locally)
@@ Property / Symbols used: change of variable (locally) / rank @@
+Normal rank
@@ Property / Symbols used: change of variable (locally) / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\zeta}}$ 
\zeta
@@ Property / Symbols used: change of variable (locally) / qualifier @@
+xml-id: C9.S7.XMD1.m1edec
@@ Property / Symbols used @@
+Q11387
@@ Property / Symbols used: Q11387 / rank @@
+Normal rank
@@ Property / Symbols used: Q11387 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle u_{s}}}$ 
u_{s}
@@ Property / Symbols used: Q11387 / qualifier @@
+xml-id: C9.S7.XMD2.m1cdec

DLMF:9.7.E9 (Q2816): Difference between revisions

| ph ⁡ z | ≤ 2 3 ⁢ π - δ phase 𝑧 2 3 𝜋 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{2}{3}\pi-\delta}}

Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}

∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}

π {\displaystyle{\displaystyle\pi}}

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

ph phase {\displaystyle{\displaystyle\operatorname{ph}}}

sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

k 𝑘 {\displaystyle{\displaystyle k}}

z 𝑧 {\displaystyle{\displaystyle z}}

δ 𝛿 {\displaystyle{\displaystyle\delta}}

ζ 𝜁 {\displaystyle{\displaystyle\zeta}}

u s subscript 𝑢 𝑠 {\displaystyle{\displaystyle u_{s}}}

Latest revision as of 14:33, 2 January 2020

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${\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{2}{3}\pi-\delta}}$

${\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}$

${\displaystyle{\displaystyle\sim}}$

${\displaystyle{\displaystyle\pi}}$

${\displaystyle{\displaystyle\cos\NVar{z}}}$

${\displaystyle{\displaystyle\operatorname{ph}}}$

${\displaystyle{\displaystyle\sin\NVar{z}}}$

${\displaystyle{\displaystyle k}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle\delta}}$

${\displaystyle{\displaystyle\zeta}}$

${\displaystyle{\displaystyle u_{s}}}$