304 research outputs found
Inverse eigenvalue problem for discrete three-diagonal Sturm-Liouville operator and the continuum limit
In present article the self-contained derivation of eigenvalue inverse
problem results is given by using a discrete approximation of the Schroedinger
operator on a bounded interval as a finite three-diagonal symmetric Jacobi
matrix. This derivation is more correct in comparison with previous works which
used only single-diagonal matrix. It is demonstrated that inverse problem
procedure is nothing else than well known Gram-Schmidt orthonormalization in
Euclidean space for special vectors numbered by the space coordinate index. All
the results of usual inverse problem with continuous coordinate are reobtained
by employing a limiting procedure, including the Goursat problem -- equation in
partial derivatives for the solutions of the inversion integral equation.Comment: 19 pages There were made some additions (and reformulations) to the
text making the derivation of the results more precise and understandabl
ΠΠ»Π΅ΠΊΡΡΠΎΡΠ½Π°Π±ΠΆΠ΅Π½ΠΈΠ΅ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΡΡΠ²Π΅Π½Π½ΡΡ ΠΎΠ±ΡΠ΅ΠΊΡΠΎΠ² ΡΡΠ°Π½ΠΊΠΎΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π°Π²ΠΎΠ΄Π° ΠΠΠ Β«Π‘Π‘ΠΒ», Π³. Π‘ΠΈΠΌΠ±ΠΈΡΡΠΊ
ΠΡΠΏΡΡΠΊΠ½Π°Ρ ΠΊΠ²Π°Π»ΠΈΡΠΈΠΊΠ°ΡΠΈΠΎΠ½Π½Π°Ρ ΡΠ°Π±oΡΠ° 171Ρ., 17 ΡΠΈΡ., 33 ΡΠ°Π±Π».,
40ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ², 14 ΠΏΡΠΈΠ».
ΠΠ»ΡΡΠ΅Π²ΡΠ΅ ΡΠ»ΠΎΠ²Π°: ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π°Π±ΠΆΠ΅Π½ΠΈΠ΅, Π»ΠΈΠ½ΠΈΡ, Π·Π°Π²ΠΎΠ΄, ΡΡΠ°Π½ΡΡΠΎΡΠΌΠ°ΡΠΎΡ, ΠΏΠΎΠ΄ΡΡΠ°Π½ΡΠΈΡ, ΡΠ»Π΅ΠΊΡΡΠΎ-ΠΏΡΠΈΠ΅ΠΌΠ½ΠΈΠΊ, Π½Π°Π³ΡΡΠ·ΠΊΠ°, ΠΎΠ±ΠΎΡΡΠ΄ΠΎΠ²Π°Π½ΠΈΠ΅, ΡΠΎΠΊ, Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠ΅.
ΠΠ±ΡΠ΅ΠΊΡΠΎΠΌ ΠΈΠ·ΡΡΠ΅Π½ΠΈΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠ°ΡΡΡ Β«Π‘ΠΈΠΌΠ±ΠΈΡΡΠΊΠΎΠ³ΠΎ ΡΡΠ°Π½ΠΊΠΎΡΡΡΠΎΠΈΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ Π·Π°Π²ΠΎΠ΄Π°Β».
Π¦Π΅Π»ΡΡ Π΄ΠΈΠΏΠ»ΠΎΠΌΠ½ΠΎΠΉ ΡΠ°Π±oΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ, ΠΏΡΠΎΠ΅ΠΊΡΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΡΡ
Π΅ΠΌΡ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π°Π±ΠΆΠ΅Π½ΠΈΡ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡ, Π²ΡΠ±ΠΎΡ ΠΎΠ±ΠΎΡΡΠ΄ΠΎΠ²Π°Π½ΠΈΡ.
ΠΡΠΎΡΠ΅ΡΡ ΠΏΡΠΎΡ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΠΏΡΠ°ΠΊΡΠΈΠΊΠΈ Π½Π° ΠΈΠ·ΡΡΠ°Π΅ΠΌΠΎΠΌ ΠΎΠ±ΡΠ΅ΠΊΡΠ΅, Π²ΠΊΠ»ΡΡΠΈΠ» Π² ΡΠ΅Π±Ρ ΡΠ±ΠΎΡ ΠΈΡΡ
ΠΎΠ΄Π½ΡΡ
Π΄Π°Π½Π½ΡΡ
ΠΏΠΎ ΠΏΡΠ΅Π΄ΠΏΡΠΈΡΡΠΈΡ.
ΠΠΎ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ°ΠΌ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΠΎΠ·Π΄Π°Π½Π° ΡΡ
Π΅ΠΌΠ° ΠΏΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π°Π±ΠΆΠ΅Π½ΠΈΡ ΠΎΡ ΠΏΠΎΠ΄ΡΡΠ°Π½ΡΠΈΠΈ ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΡ, Π΄ΠΎ ΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎ-ΠΏΡΠΈΠ΅ΠΌΠ½ΠΈΠΊΠ°. ΠΡΠΎΠΈΠ·Π²Π΅Π΄ΡΠ½ Π²ΡΠ±ΠΎΡ: ΠΊΠΎΠΌΠΌΡΡΠ°ΡΠΈΠΎΠ½Π½ΡΡ
ΠΎΠ±ΠΎΡΡΠ΄ΠΎΠ²Π°Π½ΠΈΠΉ, ΠΊΠ°Π±Π΅Π»Ρ ΠΈ ΠΏΡΠΎΠ²ΠΎΠ΄ΠΎΠ², Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ΄Π΅Π»Π°Π½Ρ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΡΠ΅ ΠΏΡΠΎΠ²Π΅ΡΠΊΠΈ. Π ΡΠ°Π±ΠΎΡΠ΅ ΠΎΡΡΠ°ΠΆΠ΅Π½ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΠ°ΡΡΠ΅Ρ Π½Π° ΠΊΠ°ΠΏΠΈΡΠ°Π»ΡΠ½ΡΠ΅ Π·Π°ΡΡFinal qualifying rabota 171s., 17 fig., 33 tab.,
40istochnikov 14 adj.
Keywords: electricity, line, plant, transformer substation, electric receiver, load equipment, current, voltage.
The object of study is a part of the electric "Simbirsk machine-tool plant".
The aim of the thesis is raboty, designing enterprise power scheme, the choice of equipment.
The process of practice in the target object, including the collection of baseline data on the enterprise.
The study established the scheme for electricity from the substation power supply system, up to the final electro-receiver. MANUFACTURED choice of switching equipment, cables and wires, as well as the necessary checks are made. The paper reflects the economic calculation of capital costs for the implementation of the scheme adopted. Yo
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