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1: Viewing DLMF Interactive 3D Graphics
WebGL is a JavaScript API (application programming interface) for rendering 3D graphics in a web browser without the use of a plugin. …
2: Foreword
This could not have been done without the cooperation of many mathematicians, information technologists, and physical scientists both within NIST and externally. …
3: 27.15 Chinese Remainder Theorem
Even though the lengthy calculation is repeated four times, once for each modulus, most of it only uses five-digit integers and is accomplished quickly without overwhelming the machine’s memory. …
4: 15.13 Zeros
If a , b , c are real, a , b , c , c a , c b 0 , 1 , 2 , , and, without loss of generality, b a , c a + b (compare (15.8.1)), then …
5: 19.15 Advantages of Symmetry
These reduction theorems, unknown in the Legendre theory, allow symbolic integration without imposing conditions on the parameters and the limits of integration (see §19.29(ii)). …
6: 5.5 Functional Relations
5.5.3 Γ ( z ) Γ ( 1 z ) = π / sin ( π z ) , z 0 , ± 1 , ,
5.5.4 ψ ( z ) ψ ( 1 z ) = π / tan ( π z ) , z 0 , ± 1 , .
7: 16.21 Differential Equation
In consequence of (16.19.1) we may assume, without loss of generality, that p q . …
8: 28.15 Expansions for Small q
28.15.3 me ν ( z , q ) = e i ν z q 4 ( 1 ν + 1 e i ( ν + 2 ) z 1 ν 1 e i ( ν 2 ) z ) + q 2 32 ( 1 ( ν + 1 ) ( ν + 2 ) e i ( ν + 4 ) z + 1 ( ν 1 ) ( ν 2 ) e i ( ν 4 ) z 2 ( ν 2 + 1 ) ( ν 2 1 ) 2 e i ν z ) + ;
9: 19.10 Relations to Other Functions
If y > 0 is assumed (without loss of generality), then …
10: Guide to Searching the DLMF
Table 1: Query Examples
Query Matching records contain
int adj sin immediately followed by sin without any intervening terms.