3,273 research outputs found
Quantum Key Distribution over Probabilistic Quantum Repeaters
A feasible route towards implementing long-distance quantum key distribution
(QKD) systems relies on probabilistic schemes for entanglement distribution and
swapping as proposed in the work of Duan, Lukin, Cirac, and Zoller (DLCZ)
[Nature 414, 413 (2001)]. Here, we calculate the conditional throughput and
fidelity of entanglement for DLCZ quantum repeaters, by accounting for the DLCZ
self-purification property, in the presence of multiple excitations in the
ensemble memories as well as loss and other sources of inefficiency in the
channel and measurement modules. We then use our results to find the generation
rate of secure key bits for QKD systems that rely on DLCZ quantum repeaters. We
compare the key generation rate per logical memory employed in the two cases of
with and without a repeater node. We find the cross-over distance beyond which
the repeater system outperforms the non-repeater one. That provides us with the
optimum inter-node distancing in quantum repeater systems. We also find the
optimal excitation probability at which the QKD rate peaks. Such an optimum
probability, in most regimes of interest, is insensitive to the total distance.Comment: 12 pages, 6 figures; Fig. 5(a) is replace
Autophagy gene activity may act as a key factor for sensitivity of tumor cells to oncolytic vesicular stomatitis virus
Background: Beclin1 is an important, primary molecule for autophagy. Objectives: It is suggested that the control of the autophagy path increases the sensitivity of tumor cells to VSV. Materials and Methods: In this study, the degree of Beclin1 gene expression in two cell lines, HeLa and A549, has been examined and the percentage of living cells subsequent infection with virus has been evaluated by MTT assay method. Results: The results showed that the degree of Beclin1 gene expression in HeLa cells in comparison with A549 cells has reduced, and the sensitivity of these cells to vesicular stomatits virus (VSV) oncolysis is more than A549. Conclusions: It seems that by using some methods for reducing autophagy, it is possible to make tumor cells more sensitive to virotherapy and even other treatments. Β© 2016, Iranian Journal of Cancer Prevention
Reactive power control in micro-grid networks using adaptive control
Purpose. Despite their economic and environmental benefits, distributed products in power systems have caused problems in power systems. One of the most important issues in this regard is voltage fluctuations and frequencies in Micro-grids, which depends on several factors, such as variable consumption load and errors in powersystems. One of the main challenges associated with the use of Micro-grids is power management among distributed generation sources. Power management plays a pivotal role in numerous Micro-grids and may ensure the stable and improved performance of Micro-grids in the permanent status of the system. The present study aimed to examine the power control in Micro-grids by proposing an adaptive control method along with the PID controller for power management and coordination in Micro-grids. This coordination system operates between production sources and controlling the voltage and frequency levels against the possible disturbances occurring anywhere in the system loop. The results of the simulation of the proposed algorithm in MATLAB software environment exhibited a high success rate (i.e., proper response to the fluctuations in the Micro-grid) and extremely low error rate (i.e., proper reactive power in the grid).Π¦Π΅Π»Ρ. ΠΠ΅ΡΠΌΠΎΡΡΡ Π½Π° ΠΈΡ
ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π°, ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠ΅ ΠΏΡΠΎΠ΄ΡΠΊΡΡ Π² ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠ°Ρ
ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡ ΠΊ Π²ΠΎΠ·Π½ΠΈΠΊΠ½ΠΎΠ²Π΅Π½ΠΈΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌ Π² ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΡ
. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ Π²Π°ΠΆΠ½ΡΡ
Π²ΠΎΠΏΡΠΎΡΠΎΠ² Π² ΡΡΠΎΠΉ ΡΠ²ΡΠ·ΠΈ ΡΠ²Π»ΡΡΡΡΡ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΡΠ°ΡΡΠΎΡΡ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ², ΡΠ°ΠΊΠΈΡ
ΠΊΠ°ΠΊ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½Π°Ρ Π½Π°Π³ΡΡΠ·ΠΊΠ° ΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ ΠΈ ΠΎΡΠΈΠ±ΠΊΠΈ Π² ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠ°Ρ
. ΠΠ΄Π½ΠΎΠΉ ΠΈΠ· ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
ΠΏΡΠΎΠ±Π»Π΅ΠΌ, ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠ΅ΠΉ, ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ½Π΅ΡΠ³ΠΎ-ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½Ρ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΠΎΠΉ Π³Π΅Π½Π΅ΡΠ°ΡΠΈΠΈ. ΠΠ½Π΅ΡΠ³ΠΎ-ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½Ρ ΠΈΠ³ΡΠ°Π΅Ρ ΠΊΠ»ΡΡΠ΅Π²ΡΡ ΡΠΎΠ»Ρ Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
ΠΈ ΠΌΠΎΠΆΠ΅Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΡΡ ΡΡΠ°Π±ΠΈΠ»ΡΠ½ΡΡ ΠΈ ΡΠ»ΡΡΡΠ΅Π½Π½ΡΡ ΡΠ°Π±ΠΎΡΡ ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠ΅ΠΉ ΠΏΡΠΈ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΌ ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌΡ. ΠΠ°ΡΡΠΎΡΡΠ΅Π΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΎ Π½Π° ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎ-ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
ΠΏΡΡΠ΅ΠΌ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΈΡ Π°Π΄Π°ΠΏΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Π²ΠΌΠ΅ΡΡΠ΅ Ρ ΠΠΠ-ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠΎΠΌ Π΄Π»Ρ ΡΠ½Π΅ΡΠ³ΠΎ-ΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° ΠΈ ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΠΈΠΈ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
. ΠΡΠ° ΡΠΈΡΡΠ΅ΠΌΠ° ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΠΈΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΡΠ΅Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠ°ΠΌΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΠΌΠΎΠΉ ΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΈ ΠΊΠΎΠ½ΡΡΠΎΠ»ΠΈΡΡΠ΅Ρ ΡΡΠΎΠ²Π½ΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΡΠ°ΡΡΠΎΡΡ Π² ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΈ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΡ
ΠΏΠΎΠΌΠ΅Ρ
, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡΠΈΡ
Π² Π»ΡΠ±ΠΎΠΌ ΠΌΠ΅ΡΡΠ΅ ΠΊΠΎΠ½ΡΡΡΠ° ΡΠΈΡΡΠ΅ΠΌΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° Π² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΉ ΡΡΠ΅Π΄Π΅ MATLAB ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ Π²ΡΡΠΎΠΊΡΡ ΡΡΠ΅ΠΏΠ΅Π½Ρ ΡΡΠΏΠ΅Ρ
Π°(ΡΠΎ Π΅ΡΡΡ ΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΡΡ ΡΠ΅Π°ΠΊΡΠΈΡ Π½Π° ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠΈ) ΠΈ ΡΡΠ΅Π·Π²ΡΡΠ°ΠΉΠ½ΠΎ Π½ΠΈΠ·ΠΊΡΡ ΡΠ°ΡΡΠΎΡΡ ΠΎΡΠΈΠ±ΠΎΠΊ(ΡΠΎ Π΅ΡΡΡ Π½Π°Π΄Π»Π΅ΠΆΠ°ΡΡΡ ΡΠ΅Π°ΠΊΡΠΈΠ²Π½ΡΡ ΠΌΠΎΡΠ½ΠΎΡΡΡ Π² ΡΠ΅ΡΠΈ)
REACTIVE POWER CONTROL IN MICRO-GRID NETWORKS USING ADAPTIVE CONTROL
Purpose. Despite their economic and environmental benefits, distributed products in power systems have caused problems in power systems. One of the most important issues in this regard is voltage fluctuations and frequencies in Micro-grids, which depends on several factors, such as variable consumption load and errors in power systems. One of the main challenges associated with the use of Micro-grids is power management among distributed generation sources. Power management plays a pivotal role in numerous Micro-grids and may ensure the stable and improved performance of Micro-grids in the permanent status of the system. The present study aimed to examine the power control in Micro-grids by proposing an adaptive control method along with the PID controller for power management and coordination in Micro-grids. This coordination system operates between production sources and controlling the voltage and frequency levels against the possible disturbances occurring anywhere in the system loop. The results of the simulation of the proposed algorithm in MATLAB software environment exhibited a high success rate (i.e., proper response to the fluctuations in the Micro-grid) and extremely low error rate (i.e., proper reactive power in the grid).Π¦Π΅Π»Ρ. ΠΠ΅ΡΠΌΠΎΡΡΡ Π½Π° ΠΈΡ
ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΈ ΡΠΊΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π°, ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠ΅ ΠΏΡΠΎΠ΄ΡΠΊΡΡ Π² ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠ°Ρ
ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡ ΠΊ Π²ΠΎΠ·Π½ΠΈΠΊΠ½ΠΎΠ²Π΅Π½ΠΈΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌ Π² ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΡ
. ΠΠ΄Π½ΠΈΠΌ ΠΈΠ· Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ Π²Π°ΠΆΠ½ΡΡ
Π²ΠΎΠΏΡΠΎΡΠΎΠ² Π² ΡΡΠΎΠΉ ΡΠ²ΡΠ·ΠΈ ΡΠ²Π»ΡΡΡΡΡ ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΡΠ°ΡΡΠΎΡΡ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
, ΠΊΠΎΡΠΎΡΡΠ΅ Π·Π°Π²ΠΈΡΡΡ ΠΎΡ Π½Π΅ΡΠΊΠΎΠ»ΡΠΊΠΈΡ
ΡΠ°ΠΊΡΠΎΡΠΎΠ², ΡΠ°ΠΊΠΈΡ
ΠΊΠ°ΠΊ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½Π°Ρ Π½Π°Π³ΡΡΠ·ΠΊΠ° ΠΏΠΎΡΡΠ΅Π±Π»Π΅Π½ΠΈΡ ΠΈ ΠΎΡΠΈΠ±ΠΊΠΈ Π² ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠ°Ρ
. ΠΠ΄Π½ΠΎΠΉ ΠΈΠ· ΠΎΡΠ½ΠΎΠ²Π½ΡΡ
ΠΏΡΠΎΠ±Π»Π΅ΠΌ, ΡΠ²ΡΠ·Π°Π½Π½ΡΡ
Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠ΅ΠΉ, ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ½Π΅ΡΠ³ΠΎΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½Ρ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΠΎΠΉ Π³Π΅Π½Π΅ΡΠ°ΡΠΈΠΈ. ΠΠ½Π΅ΡΠ³ΠΎΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½Ρ ΠΈΠ³ΡΠ°Π΅Ρ ΠΊΠ»ΡΡΠ΅Π²ΡΡ ΡΠΎΠ»Ρ Π²ΠΎ ΠΌΠ½ΠΎΠ³ΠΈΡ
ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
ΠΈ ΠΌΠΎΠΆΠ΅Ρ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΡΡ ΡΡΠ°Π±ΠΈΠ»ΡΠ½ΡΡ ΠΈ ΡΠ»ΡΡΡΠ΅Π½Π½ΡΡ ΡΠ°Π±ΠΎΡΡ ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠ΅ΠΉ ΠΏΡΠΈ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠΌ ΡΠΎΡΡΠΎΡΠ½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌΡ. ΠΠ°ΡΡΠΎΡΡΠ΅Π΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΎ Π½Π° ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΠ½Π΅ΡΠ³ΠΎΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
ΠΏΡΡΠ΅ΠΌ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ΠΈΡ Π°Π΄Π°ΠΏΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ Π²ΠΌΠ΅ΡΡΠ΅ Ρ ΠΠΠ-ΠΊΠΎΠ½ΡΡΠΎΠ»Π»Π΅ΡΠΎΠΌ Π΄Π»Ρ ΡΠ½Π΅ΡΠ³ΠΎΠΌΠ΅Π½Π΅Π΄ΠΆΠΌΠ΅Π½ΡΠ° ΠΈ ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΠΈΠΈ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΡΡ
. ΠΡΠ° ΡΠΈΡΡΠ΅ΠΌΠ° ΠΊΠΎΠΎΡΠ΄ΠΈΠ½Π°ΡΠΈΠΈ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΡΠ΅Ρ ΠΌΠ΅ΠΆΠ΄Ρ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠ°ΠΌΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΠΌΠΎΠΉΒ ΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΈ ΠΊΠΎΠ½ΡΡΠΎΠ»ΠΈΡΡΠ΅Ρ ΡΡΠΎΠ²Π½ΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΡΠ°ΡΡΠΎΡΡ Π² ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΈ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΡ
ΠΏΠΎΠΌΠ΅Ρ
, Π²ΠΎΠ·Π½ΠΈΠΊΠ°ΡΡΠΈΡ
Π² Π»ΡΠ±ΠΎΠΌ ΠΌΠ΅ΡΡΠ΅ ΠΊΠΎΠ½ΡΡΡΠ° ΡΠΈΡΡΠ΅ΠΌΡ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π°Π»Π³ΠΎΡΠΈΡΠΌΠ° Π² ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ½ΠΎΠΉ ΡΡΠ΅Π΄Π΅ MATLAB ΠΏΠΎΠΊΠ°Π·Π°Π»ΠΈ Π²ΡΡΠΎΠΊΡΡ ΡΡΠ΅ΠΏΠ΅Π½Ρ ΡΡΠΏΠ΅Ρ
Π° (ΡΠΎ Π΅ΡΡΡ ΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΡΡ ΡΠ΅Π°ΠΊΡΠΈΡ Π½Π° ΠΊΠΎΠ»Π΅Π±Π°Π½ΠΈΡ Π² ΠΌΠΈΠΊΡΠΎΡΠ΅ΡΠΈ) ΠΈ ΡΡΠ΅Π·Π²ΡΡΠ°ΠΉΠ½ΠΎ Π½ΠΈΠ·ΠΊΡΡ ΡΠ°ΡΡΠΎΡΡ ΠΎΡΠΈΠ±ΠΎΠΊ (ΡΠΎ Π΅ΡΡΡ Π½Π°Π΄Π»Π΅ΠΆΠ°ΡΡΡ ΡΠ΅Π°ΠΊΡΠΈΠ²Π½ΡΡ ΠΌΠΎΡΠ½ΠΎΡΡΡ Π² ΡΠ΅ΡΠΈ)
Confinement interaction in nonlinear generalizations of the Wick-Cutkosky model
We consider nonlinear-mediating-field generalizations of the Wick-Cutkosky
model. Using an iterative approach and eliminating the mediating field by means
of the covariant Green function we arrive at a Lagrangian density containing
many-point time-nonlocal interaction terms. In low-order approximations of
theory we obtain the usual two-current interaction as well as
a three-current interaction of a confining type. The same result is obtained
without approximation for a version of the dipole model. The transition to the
Hamiltonian formalism and subsequent canonical quantization is performed with
time non-locality taken into account approximately.
A relativistic three-particle wave equation is derived variationally by using
a three-particle Fock space trial state. The non-relativistic limit of this
equation is obtained and its properties are analyzed and discussed.Comment: 15 pages, 1 figure, LaTe
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