Concertina-like movements of the error curve in the alternation theorem

1977 ◽  
Vol 22 (3) ◽  
pp. 229-234 ◽  
Author(s):  
Roland Zielke
Keyword(s):  
Error Curve ◽  
Alternation Theorem

Error Curve

2011 ◽  
pp. 331-331
Author(s):  
John Langford ◽  
Xinhua Zhang ◽  
Gavin Brown ◽  
Indrajit Bhattacharya ◽  
Lise Getoor ◽  
...  
Keyword(s):  
Error Curve

Measurement of the Profile Drag of Compressor and Turbine Cascades and the Effect of Wakes in Exciting Vibration

1953 ◽  
Vol 57 (515) ◽  
pp. 722-725 ◽  
Author(s):  
J. M. Stephenson
Keyword(s):  
Mach Number ◽  
Compressible Flow ◽  
Total Pressure ◽  
Static Pressure ◽  
Error Curve ◽  
Exciting Vibration ◽  
Turbine Cascades ◽  
Simplified Procedure

The Melvill Jones equation for the profile drag of a single aerofoil is adapted to the case of an aerofoil in cascade, where the static pressure may be permanently raised (compressor), or lowered (turbine). A simplified procedure for measuring the drag is then described, assuming that the total pressure wake has the form of an error curve. A table of multiplying factors is given, for compressible flow up to an outlet Mach number of 0·9. Many published measurements of cascade drag have ignored this factor, with a consequent error of up to 25 per cent.

scholarly journals ALTERNATION THEOREM FOR $C(I,X)$ AND APPLICATION TO BEST LOCAL APPROXIMATION

1993 ◽  
Vol 24 (2) ◽  
pp. 135-147
Author(s):  
A. AL-ZAMEL ◽  
R. KHALIL
Keyword(s):  
Banach Space ◽  
Approximation Property ◽  
Local Approximation ◽  
Continuous Functions ◽  
Space Of Continuous Functions ◽  
Best Local Approximation ◽  
Alternation Theorem

Let $X$ be a Banach space with the approximation property, and $C(I,X)$ the space of continuous functions defined on $I = [0,1)$ with values in $X$. Let $u_i \in C(I,X)$, $i=1,2,\cdots, n$ and $M=span\{u_1, \cdots, u_n\}$. The object of this paper is to prove that if $\{u_1, \cdots, u_n\}$ satisfies certain conditions, then for $f \in C(I,X)$ and $g \in M$ we have $||f-g|| = \inf\{||f-h|| : h\in M\}$ if and only if $f-g$ has at least $n$-zeros. An application to best local approximation in $C(I,X)$ is given.

Sign in / Sign up

Export Citation Format

Share Document