SCIENTIFIC ABSTRACT FR:HAJEK, L. TO:HAJEK, I.
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CIA-RDP86-00513R000617800030-6
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U
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SCIENTIFIC ABSTR
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AC~60/A126
AtiT130R: H~.,~ek, Ja-roslav
Gathode ~~"ol,lower airauit Hith twa~ eleatronio tubes
T:[T;~E:
Pl~tIODICAL: Referati~myy zhurnal, Avtoma~tika, Telemekhant~zeah.Vp~hisQ~te21e~+$
Tekhnika;~ nab ~, X9~3a 27, abstrerat 2A1'j0~
~0/1p; ;?1 a , 18/08, no. 9i`9~, January 15, 1961)
T;p{,T; Patent i;s granted to the aii~cuit of a cathodla follower using two
The input signal is
t~uxles avnneated in se;riea anode-to�aathode (see Figure).
fact to the grid of the tube T1 and to grc~un~t, and the output v~ategofiT2~~and
of~" between the common ~unataonneo~cedeinathcdusualTway through a resistor Rt to
ground. The rl.ate of T1 is
a, ;power source. The airauit is dir~t,ingu:Lshczd by the aonneation of are additional
r~ei;istor R~ betwen th.e ,unction po~.nt of thc~ cathode resistor R3 and the reei,stor
Ti; in the grid circuit of T~ and the ne;gatx.ve pole of th.e plate supply. They
~F
f'r~.quency range of the circuit is wider than thaof thegin;ser~tionlofott2ewhiah1 ~.s
7'hr~ cirauit ~plif3e~. a constant signal beak~uae
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EtAJEK, J.
Voltage shook wavy ana.7.ogus gsn~~rator. p. 57~�
SLABOPRO(JnY OE3ZOR, Prague, Vol. 16, no. 11, Nov. ].9~5.
S0: Monthly List of East European Accessi~ms, (SEAL) , 1rt;, Vol. ~, No. 6, Juno ].~.~~~,
Unc1.
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~,~p1~6 S/O52-/61 /006/002/003/006
()n linear estimation theory o~a C111 C222
~I~o~ ~- ~m =D~1
o y /u' I~ y/~ -1
(410)
Best linear estimates of parameters �~ -: ~c~ a(..~ +~qual �= ~ c,,oC,~
'.three examples are considered. The author mentions AoM. Yaglom. He thar.~ks
]?rofessor AoNo Kolmogorov for aide There are 5 Soviet bloc and 4 non-
;~o~viet~bloc references. The references to the two Enl~lish-~language
pirbiications read as follows x L.Ao Zadeh and J.Ra R~~gazzini9 An ex-~
~:ention of ~Vlene:�s theory of prediction. Journ.Applo Physics921 (1950)9
(i45~,655., M~ Blum9 Generalization of the class of nonrandom inputs of tre
i~adeh ~ Raga2zin~_ prediction models IRE Transalnform,theoryy IT-2 (June
'~956)Y ~6a81o
ST3:BMITTED~ September 19, '1960
(;a:rd 1U/~U
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2~G16 S~p52~61~p!~6~d02~OO3~OO6
On linear estimation theory ... C111~C222
~~ x = ~oxv~ (x E, ~o) (4 ~ 2 ~
,gnd the class V ~v oc- y ~ ~ Am ~ represents the class of all bes t
linear unbiassed estimates of estimable parameters 0 ~ A+ . It holds
m-p
V ~ W bu t in general v~ ~ w,>(, p ~'~, ~ Am �
Theorem 4.1 . If tY;~e model is regulars then a random variable v~ E. V
determined by (4.2~ is the best linear estimate for
m
~r :~ 1
where v~1 f, 1 G, ~ ~; m , are determinE~dGby~~,,/~Jt~~~ A \{
The best linear. unt~iassed estimate oi" the random variable y 9 considered
ire theorem 3.2 9 ec~uale ,~
y ~ y + c~ (4 ~5)
0 0
n
where yo is the projection of y on ~~ o and Oo is the best linear
CE~rd 8~1Q
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S~052 61~~O06~OC-2~OO3~0O6
Ott linear estimation theos~~~~..� C111 C222
y = ~~ + 9~ ('3.19)
where 8~ is the be:~t linear unbiassed estimate of 8~� It holds that
I:f (3.3) is satisfied for all ~ ~ Am (regular model.) there the Po -
d:istribution may sl~rve as the dominating distribution. The set of in-
mean~limits via ~~~( ) coincides with the set ~, The set ~ in
which random varia'~les with P o(x=y)= 1 are considez~ed as identical and
t'he inner product
~x~ Y~ _ ~oxY (4�~)
is introducedy is ,~. Hilbert space ~~ o. The mean values ~ ~x are linear
functionals on ~o so that for any ~ E Am there e~zists a. v~ E ~o
se that
Card 7~~10
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s/o52/61/006/002/003/006
On linear estimation the~~yb ... C111/C222
.A AEA+ for which. a linear unbiassed estimate exists is called estimabled
m
.A AEA+ for whicY:l a linear unbiassE~d estimate with variance zero exists
m
ie c~il.led exsctl,y c~:~tims.ble,
'I'~~eoreui 3 ,1 . ~ paran~Qtcr. (~ ~.Am is es timablc~ if , , :only if , 8(oG) 0
for of C-.Ap, i.e. for all the oc,'s satisfying (3.2). The estimable �'s
form a linear subspace Am-p of dimen~~ion m-p .
A parameter BEAm-F~ is exactly estimable if, and only if, A(BC) = 0 for
oc~ E Aq, i.e. for all the acts satisfying (3.3). The exactly estimable
�'s form a linear ssubspace Am-q of dimension m-q.
Each estimable parF~meter �possesses a unique best linear unbiassed ,~
e~~timate. The class; of the best linear unbiassed estimates forms an
(ra-p)-dimensional ainear subspace of ~1~ say W, ar~d this subspace con- ~
siste of random variables w a, E ~ 1 , o(.. E Am, uniquely determined by
Ci~.rd 5/x'0
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�i L~/~J ~;/11
2.~O~l~i
C)n linear estimation theory ,:, .,
5~052~61~006~002~003~006
C1~1~C222
(aC. E A m)
(2�5)
Find a best unbias~3ed estimate of y if, under the restriction of (2.5) 9
~_o~v .~ y~2 is a minimum The estimates are chosen in the class of
ratatisiics which Gaither are finite linear combinations of randam variables
;xty t~ T or are in~meanLlimits of such combinatians/ Let M denote the set
of all finite linear combinations x = ~cJxt Let ~~( ) be a pra~-
J p
bability distribution which dominates over all the distributions P~,( �)
in the fcllowing sense s For any oC- F Ain there exa.sts a finite constant
,~~ so that
~.~~xf2CKd~1~x~`" (x~A;~) (2�6)
where K,~, is independent of x ~M. Z,et (~'~ be the sQt of in~~mean-~limit~i via
p1( a ), The set ~'[ i.n which the random variables with ~1(x-y)= 1 a~'e
considered as identical and an innE~r product is introduced ~x9y~ =
Card 3~~~
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2~0�~~ ~/o5~/c~~/ooh/00~/003/00~
On linear estimation theory .... C111~C222
T'he author uses the notation ~~( �~ _ ( )d ~~ Iie seeks be9t
oG
linear unbiassed estimates for linear functionals 0 defined on c~ C- Ain �~
s
m
p w p (~) .. ~ ~ ~~.
~ ~1 ~ v
{2�:~)
vihare c~9.��09 c are real or comple:c numbers The space of all 9 {for
� m
different c = (c~,, c2y ~ ~~ ~~ ~ cm) is denoted by Am The linear furction,31
p are called parameters.
The problem can tie defined more general as follows Try to est,.imate ~~
random variable y so that for �~ Am it holds
{~ ~)
and that the vari,~nce of y and the covariances of y and xt ~ t E T v are
independent of oC. F_ Am A random variable v is called an unbiassed
estimate of ,y if
Card 2~~.~)
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__ ___.._.t_..-_____..
~y, A property of J-dfverganees of ,
~-~ ~ Czechoslovak Math: ~"~\~~~~
j. 8(83} (i 9 ), 4b(~-463. ussian summary)
Consider two arbitrary probability distributions P and
Q on a Borel field F of subsets A of a spaci7 5~~- {a-}; and
' let Pa and Qa, a'w A, be correspondin5 tnar~m~l
distributions on I3orel sub-fields FnCF, dCiined by
Pa(A) =P~A), QaI;A)~Q(A) for A e Fa, a ~ A. J-diver- ,
;genre Ja uetweer~ distributions P and Q on the 13orel
field FaCF is the number
Ja� ~ l'~a ~' /lag ~a dQ tf Pa =pQn~
4a 9a
Ja=oa if Pa~Qa~
where Pa.-Qa denotes that [Q(A)=0)~-~(,.~'(~1)=-0] f~~r
A ~ Fa, and alga=dPaJdQ,l is the Ra:dcan-Nt)codyn~
derivative of Pa with respect to Qa. This clefiritina~ -5
that of I{ullback. and I.eihler [Aran. Math :~cati~,t. 2
(1451), 79~-8b; Iitl~ 12, ~23.j exten~3c�cl tc- i;h~~ c;t~>+. ��hi~n
Pa~Qu and is a form introduced by Jcttrc~~s (Proc. T2oy.
Soc. London, Scr~. A. 186 (i 946), 453-46 I ; ~f R 8, 1 b3 j
The author proves that the J-divergence of aray two
-probability distributions of any stach~istic i7raccss equals
tlt� supremum oaf J-divergencGS of finite�dimr~nsin-s.~1
marginal distribuitions, If this supremum is fitritc then
the distributions are absolutely continuous with respect
to each other. S. Kullback (Washington, I).C.}
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Arc ~NR A 6022773W ~._.._.~__--_.____.___.___..~...-SOURCE CODE: CZ/0039/bb/027/OOi/OG~7/0042
,;
'% i
AIITIiOR: Hajek, Jaros].av (Doctor; Engineer ); Bulks, Miroslav (Engineer) ~~,
OiZG: Instrument Engineering Inetitut�,'C9A11, Brno (Ustav pristro~ove t�chniky
T:[T:LE: Compensating t;he temperature dependence of the voltage in stabilizing
glow lamps
S()UHCE: Slaboproudy obzor, v. 27, no. 1, 196E~, 37-42
TOPIC 'TAGS: temperature dependence, glor~r lamp, temperature stabilization, thl~rmi�to:r
circuit design
ABSTRACT : A theo-
retical analysis and experimental results are given on compensating the tem-"
pcrature dependence of tt~e working volta,ga in a stabilizer g,1ow lamp by
mee~ns of a novel circuit using a thcrmistor. The influence of temperature
hae- been lowered by one order, without t:he use of a thermostatic oven, and
then temperature time constants of the circuit as a Whale have been shorten-
ed. Graphs ar� pr�sented to facilitate the designing of the circuit. Orig� art.
ha:~: 9 figures and 9 formulas. [Based on authorsf Eng. ab�t.J [JPRS)
SUB CORE: 09, 20 / SUBM DATE: 07Jun65 / ORIG RFC : OOq / C1PH R.~' : OC~b
Card l~ ~~- G UDC : 6
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i.'++~.: F
~{.): ~
;:t: '
x/124 b3/04n/003f 042/~b~
` X234 X308
. l'~;T;~C,E: ~ Appl+~ation of '~~e summation method to the deei~n of
glate~~
,.
~` F~~RYO~ICAI,: Refer,ativnyy zhurnal, Mekhanika, no. 3, 1963, 1?; ab-
atract 3V111 ~~tavebn. ~agop. 19b2, v. 10, no. 4,
` 213-2'31. (Slov~k:i, sumraaa~es in Rus. and Eng. )~
T~~XT: Tile au.thar Icansiders the bending of a rectangular platy hav-~;
ire;g two opposite e~~ges freely supported by rigid bases. The problem
reduce8 to an integral.equat~.on which is solved numerically b ~�the .
tx~a;~e~~.um method. ~M'"Abstraater's note: Complete translation.
..
~ ~
i
~._. Ca,rd _ 1 /1 ._ .. _.. , ._� _.. _. _ ... . _ _ .
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