Friday, April 29, 2016

Testing your runs

Testing Wiring
 
Since Cat 5e/6 cable is used to the fullest extent of its performance envelope, testing is very important. There are three basic tests that are called for as part of the EIA/TIA-568 specs for all UTP cables: wiremap, length and high speed performance. We'll take a look at each of them and equipment needed to test them.
 
Wiremapping
Wiremapping tests to make sure the cable is connected properly, according to the standard for connecting pin-to-pin. Basically, wiremapping is a continuity test using an inexpensive tester. Just make sure the wiremapper you buy tests "split pairs" as noted below.
 
 
What Is A "Certified" Cable?
 
Certification is one of the most overused and least understood words in our industry! Did the cable pass an exam and get a certificate? Well, sort of. This term has been used by vendors of testers to mean that the cable was tested and passed by one of the Cat 5e/6/6A "certification" testers which test all the standard's specified performance parameters. It means that the cabling meets the minimum specifications of EIA/TIA standards and should work with any network designed to operate on a Cat 5e/6A link.
 
What is "Verification"?
 
Alternatively, cable may be tested to determine if it will carry the network signals intended for use on the cabling systems. These testers run bit error rate tests (BERT) over the cable as well as checking wiremaps and length. A Verifier will guarnatee the cabling will support Ethernet, but does not test to the cabling standards, only a problem if some other usage, such as analog video, may be used.
 
Wiremap
 
Wiremapping simple means that each wire is hooked up correctly, with no opens or shorts. That's mostly very straightforward. Each pair must be connected to the correct pins at the plugs and jacks, with good contacts in the terminations.
 
 

Most of the failures are simple enough to understand, like reversed wires in a pair, crossed pairs, opens or shorts. One possible failure, crossed pairs, is caused when both wires of a pair are crossed at one termination. The usual cause of a crossed pair is a 568A termination on one end and a 568B on the other.
 
The most difficult wiremap problem is a split pair, when one wire on each pair is reversed on both ends. It causes the signal to be sent on one wire each of two pairs. The usual DC wiremap will pass but crosstalk will fail. It takes a more sophisticated wiremapper or Cat 5e/6 tester to find a split pair, as some wiremappers which use only DC tests do not check crosstalk. In our experience, a split pair is usually caused by someone using punchdown color codes on jacks which splits the pairs.
 
Length
 
Since 568 cables must be less than 90 meters (296 feet) in the link and 100 meters in the channel (328 feet), length must be tested. This is done with a "time domain reflectometer" which is a fancy term for cable "radar". The tester sends out a pulse, waits for an "echo" from the far end and measures the time it took for the trip. Knowing the speed in the cable, it calculates the length. All cable certification testers include a TDR to measure length.
 
If you have a short or open, the TDR will also tell you where the problem is, making it a great tool for troubleshooting problems.
 
Attenuation
 
The proper operation of a LAN on the cable plant requires the signal strength be high enough at the receiver end. Thus the attenuation of the cable is very important. Since LANs send high speed signals through the cable and the attenuation is variable with the frequency of the signal, certification testers test attenuation at several frequencies specified in the 568 specs.
 
 
This test requires a tester at each end of the cable, one to send and one to receive, then one of them will calculate the loss and record it. There are pass fail criteria for the cable at Cat 3, 4, 5, 5e, and 6 max frequencies.
 
 
Crosstalk (NEXT)
 
It's called NEXT for "near end cross talk" since it measures the crosstalk (signal coupled from one pair to another) at the end where one pair is transmitting (so the transmitted signal is largest causing the most crosstalk.) Crosstalk is minimized by the twists in the cable, with different twist rates causing each pair to be antennas sensitive to different frequencies and hopefully not picking up the signals from it's neighboring pairs. Remember what we've said repeatedly: you MUST keep the twists as close to the terminations as possible to minimize crosstalk.
 
 
 
Cat 5e /6 testers measure crosstalk from one pair to all three other pairs for each pair and compare it to the 568 specs, giving a pass/fail result. Some also calculate "ACR" or attenuation/crosstalk ratio, as it is a measure of how big the crosstalk signal is to the attenuated signal at the receiver. You want this number as big as possible, as it is an indication of the signal to noise ratio.
 
 
More Tests for Gigabit Ethernet
 
The latest generation of test specs for Category 5e and 6 includes a number of new tests to insure higher performance from the cable. These tests relate to higher bandwidth usage of the cable and simultaneous use of all four pairs, even in both directions at once.
 
Powersum NEXT is the NEXT on one pair when all three others are carrying signals. This is realistic with 1000Base-T Gigabit Ethernet where all pairs carry signals simultaneously.
 
Far end crosstalk, looking at the effect of the coupling from one pair to another over the entire length, measured at the far end. As tested, it's ELFEXT or equal level FEXT, or the ratio of FEXT to attenuation, sort of like ACR.
 
Delay Skew measures how much simultaneous pulses on all 4 pairs spread out at the far end. This measures the speed on each pair, which may be different due to the variations in number of twists (more twists means longer wires) or insulation. Since 1000Base-T Gigabit Ethernet uses all 4 pairs with the signals split into 4 separate signals, it's necesary to have all arrive simultaneously. Testers measure Propogation Delay, the actual transit time on the pairs to calculate Delay Skew.
 
 
Return Loss is a measure of the reflections from the cable due to variations in the impedance. These reflections can cause signal degradation, especially if the pairs are used in a full-duplex (bidirectional) mode. With 1000Base-T Gigabit Ethernet transmitting in both directions on each pair, return loss can cause big problems.
The "augmented" Cat 6 spec will have reference to "alien crosstalk" or the signal coupling from one pair in a cable to the same pair in another cable, a consequence of higher frequencies and the consistency of twists.

Testers
 
Wiremappers test the connections and Cat 5e/6 certification testers test the performance at high frequencies. Cable Certification testers are mostly automated, "push a button get a pass/fail" simple. In fact, certification testers test everything, wiremap, length, attenuation and crosstalk in one connection, give you a pass/fail result, help on troubleshooting and store the result for printing reports for the customer.
 
Some installers use the certification tester for all testing, after the cable is installed. But it's a very expensive unit that needs a trained operator and many failures are simply wire map problems. Others have each crew use an inexpensive wiremapper to make sure all connections are correct before the certification tester is brought in. By having each crew find and fix their own wiremap problems, testing and corrections are done as the cable is installed and the cost of the certification tester is not wasted on simple problems. It's just provides the high frequency tests and documentation required by most users.
 
 
Permanent Link Adapters
 
The tester's adapter interface cable may be the weakest link when testing. Conventional adapter cords may be the cause for many false failures in the field. Susceptable to the daily wear and tear associated with rough field conditions, they degrade with time and contribute to return loss.
 
Until now, each tester used personality modules specific to each manufacturers Cat 6 cabling for testing. The personallity modules insured that the connection between the adapter and the link under test yield optimum performance and more passes. The need for separate adapters for each manufacturer's cabling system was defacto acknowledgement of the incompatibility of various Cat 6 products.
 
 
A change in the definition of the "link" has been implemented in EIA/TIA568 B and ISO 11801 AM2 and it is now called the "permanent link." The permanent link moves the test reference point to the end of the test cable at the wall outlet or patch panel jack, including only the connector on the end of the tester interface cable. Compliance with this standard could speed compatibility among Cat 6 cabling systems.
 
Upgrading Testers
 
Category 5 testers generally cannot be upgraded to 5e or 6 but Category 5e testers can often be upgraded to Cat 6. Upgrades to Cat 6A testers are not usually available.
 
  Next

The Master / Slave Relationship Between PLC & Alarm

*The master / slave relationship will be shared between alarm and PLC - enter fuzzy logic. This picture doesn't give the software environment a clear depiction yet it does crudely convey the principles.
 Keep in mind the PLC and false triggering.

Master Slave
In computer networking, master/slave is a model for a communication protocol in which one device or process (known as the master) controls one or more other devices or processes (known as slaves). Once the master/slave relationship is established, the direction of control is always from the master to the slave(s). The County of Los Angeles, saying the term master/slave may be offensive to some of its residents, has asked equipment manufacturers not to use the term. Some manufacturers prefer the term primary/secondary.

Other communication protocol models include the client/server model, in which a serverprogram responds to requests from a clientprogram, and the peer-to-peer model, in which either of the two devices involved can initiate a communication session.

*The semi autonomous home defense systems ins and outs are completed. I simply need to build a physical mock up.

Now hiring in Phnom Penh, Cambodia:
Appointment Setter
Machinist / Stainless Steel Modifications
Laborer 
SystemsNicaragua.com "Contact Us" page



Semi Autonomous Non Lethal Self Defending Home Rough Mock Up

*I'll keep the legend to myself yet "Just Us" will see the simplicity of design. Fully functional and all associated hardware and software is readily available for pennies.
 The focus narrows down to the "Fail safes, encrypted signals / Rx Tx, redundancy and attention to false triggering".

Apologies Lucidchart, never used your software before.

Non Lethal Self Defending home.


*I have quite a ways to go yet as one can clearly see, this is not only feasible, it's simple.


Thursday, April 28, 2016

The worst presidential race in history


Mike Lupica

So many of the men and women running for President say they are running against Washington and all the meanness there, and divisiveness, and lack of civility. But they have somehow managed to make this campaign look even worse, without shame, as they continue to shame this country in front of the world in the process.
Donald Trump is the angry face of it all, able to out-talk everybody on radio and television, and out-tweet them, and shock the world with his theories about Muslims. But Trump isn’t alone. He’s just the one with the biggest bullhorn, able to out-shout even the bullhorn media.
There has never been a lower point than this in modern presidential politics. If you think there has been, name it. We see how desperate they are to win at all cost. But at what cost to this country? We talk constantly about how unsafe everything has become in a terrorist world. You know what is less safe these days, and more vulnerable than ever? This country’s good name.
“We all talk about how anxious our country has become,” Rep. Pete King was saying yesterday afternoon. “But you know why everybody is anxious? Because they don’t see any leadership from either party, at a time when we’re crying out for that because we’re getting no leadership from the President.”
“You tell me which one of them is going to inspire us?” Pete King said. “Who’s going to lead in a country where we get the idea that we’re now following the lead of the president of France?”

Pete King, out of New York’s 2nd Congressional District, the son of a New York City cop, can turn politics into a bar fight himself sometimes, and you can look that up. But so often these days he seems to have more common sense than almost all of these people who want to be President, especially when he says this:
“Sometimes you worry that this is a campaign about the lowest common denominator.”
The rest of the world does not just see what happens in San Bernardino, in an America where we have a tragedy like San Bernardino every few weeks and sometimes every few days. The rest of the world also sees the response to San Bernardino and the loss of life there now that they can make it all about radical Islam and not an arsenal in the home of Syed Farook and Tashfeen Malik big enough to invade Chicago. The outrage is always more righteous when it is about jihadists and not some redneck shooting up a church in Charleston.
The guns used to murder 14 people were purchased legally, a couple of the fast-killing weapons even purchased for Farook and Malik by some friend of theirs. So once again we heard that no laws were broken, until the body count because of guns grew a little more in America.
But there are never any solutions, just more shouting and name-calling andblaming of Barack Obama, as if the real battleground states are Twitter and cable television. Now members of an entire religion become suspects, or perhaps unindicted co-conspirators. And Texas Sen. Ted Cruz has the same solution that tough guys whose only active service was on the debate team always seem to have: Go over to Syria and blow all the bad guys to kingdom come.
Presidential candidate Donald Trump reacts while addressing supporters at a campaign rally.
“We will utterly destroy ISIS. We will carpet bomb them into oblivion. I don’t know if sand can glow in the dark, but we’re going to find out,” Cruz says, apparently thinking that the mere threat of that will make Abu Bakr al-Baghdadi, the head of the Islamic state, just come out with his hands up.
In that moment, Cruz sounds like Gen. Curtis LeMay 50 years ago, talking about how we needed to do the same thing with North Vietnam.
“We’re going to bomb them back to the Stone Age,” LeMay said, a few years before he was the running mate in 1968 for Alabama Gov. George Wallace, back when it was the two of them who only seemed to be talking to the League of Angry White Guys.
Pete King is right. This has become a battle for the lowest common denominator, and not just with the Republicans. Democrat Hillary Clinton has a chance to stay above it all, but cannot resist making it seem as if all theRepublicans share the same feelings about Muslims and immigrants, as if they are all working off the same playbook when she knows they are not.
“You tell me which one of them is going to inspire us?” Pete King said. “Who’s going to lead in a country where we get the idea that we’re now following the lead of the president of France?”
== RESTRICTED TO EDITORIAL USE / MANDATORY CREDIT: "AFP PHOTO/ HO" / NO SALES / NO MARKETING / NO ADVERTISING CAMPAIGNS / DISTRIBUTED AS A SERVICE TO CLIENTS ==
This is the mud-wrestling Making of the President, 2016, against the backdrop of a world that becomes more dangerous by the day. This is all supposed to be about who would be best for America on the front line against terror. But it’s these candidates who are scaring us half to death.
TAGS:
 
2016 election ,
 
donald trump ,
 
gun control ,
 
pete king ,
 
isis ,
 
ted cruz ,
hillary clinton ,
 
syed rizwan farook ,
 
tashfeen malik ,
 
san bernardino shooting ,
barack obama ,
 
syria



http://tinyurl.com/znywuh4

Thank you IBM via Grubb & Ellis

The work of stationary engineers is varied and complex. We are responsible for the operation, maintenance, renovation and repair of boiler systems and all other mechanical systems in a facility. Stationary engineers are employed in schools, hospitals, hotels, apartment buildings, shopping malls, airports, power plants, industrial and manufacturing plants, breweries, co-generation plants, petro-chemical plants, office and commercial buildings, government facilities and other workplaces. In operating and repairing these facilities, stationary engineers perform work on boilers and steam systems; heating, ventilating and air conditioning systems; building automation systems; diesel engines, turbines, generators; pumps, piping and compressed gas systems; refrigeration and electrical systems and numerous other physical plant functions. We are called stationary engineers because the equipment we operate is similar to equipment operated by locomotive or marine engineers except it is not in a vehicle that moves.
Stationary engineers start up, regulate, repair and shut down equipment. We ensure that equipment operates safely and economically and within established limits by monitoring attached meters, gauges, and computerized controls. We manually control equipment and make the necessary adjustments. We use hand and power tools to perform repairs and maintenance ranging from a complete overhaul to replacing defective valves, gaskets, or bearings. We also record relevant events and facts concerning operation and maintenance in an equipment log. On steam boilers, for example, we observe, control, and record steam pressure, temperature, water level, power output, and fuel consumption. Stationary engineers can often detect potential mechanical problems by observing and listening to the pitch of the machinery. We routinely check safety devices, identifying and correcting any trouble that develops.
Stationary engineers also perform routine maintenance, such as repairing and replacing pumps, motors and other operating equipment, lubricating moving parts, replacing filters, and removing soot and corrosion that can reduce operating efficiency. We also test and chemically treat hydronic systems to prevent corrosion and harmful deposits.
A stationary engineer may be in charge of operation, maintenance and repair of all mechanical systems in a building, industrial power plant or engine room. A chief engineer may direct the work of assistant stationary engineers, turbine operators, boiler tenders, and air-conditioning and refrigeration operators and mechanics. In a small building or industrial plant, there may be only one stationary engineer at a time who will be responsible for the entire operation and maintenance of the building or facility.
What do I need to become a stationary engineer?
  • An average of four years of apprentice training, including on-the-job and classroom training.
  • A good work ethic and responsible attitude.
  • An interest in learning highly technical subjects like boiler operation and maintenance, air conditioning and refrigeration, safety, practical chemistry, elemental physics, instrumentation and controls, electronics and computer controls.
  • A willingness to keep learning. Due to the increasing complexity of the equipment, stationary engineers must continue to update their skills, and many go on to take college courses.
  • The ability to do shift work, and to work on weekends and holidays.
How do I get accepted into an IUOE apprentice training program for stationary engineers?
Selection criteria vary from one local to another, so you should contact an IUOE stationary local in your area for specific information. However, minimum requirements include that applicants be at least 18 years old, have a high school diploma or GED, be legal to work and drug free. Having previous mechanical or technical experience would be helpful, but may not be necessary.
What training does IUOE provide for apprentice stationary engineers?
High quality, skill development training is provided by apprenticeship and training programs at IUOE stationary local unions. These recognized programs are jointly sponsored by IUOE local unions and the employers who hire stationary engineers.
The average length of a stationary engineer apprenticeship is four years. During this period, apprentices learn their craft by working with skilled stationary engineers at an actual workplace, and by attending related classroom instruction. In some cases, apprentice training is supplemented by courses at trade or technical schools and, due to the increasing complexity of the equipment with which they work, many stationary engineers have also taken college courses. Training is critical to preparing apprentices to be tested for stationary engineer licenses, which is required by most states.
Journey level stationary engineers are often encouraged by their employers to continue their education. Many IUOE locals offer free training to their members to help them broaden their skills, keep up with changes in the industry and improve their employability. Additional training has helped many IUOE members move up to management or supervisory positions.
How much do stationary engineers earn?
Journey level and apprentice wages vary considerably from one part of the country to another, so you will need to contact an IUOE local in your area for specific information. Starting pay for an apprentice varies from 45% to 60% of the journey level rate. Pay increases are scheduled at designated times during apprenticeship and are negotiated as part of each local’s contract with employers. During the final year of apprenticeship, wages are typically 80% to 95% of the journey level rate.
- See more at: http://www.iuoe.org/jobs/stationary-engineer#sthash.gvwc8DpF.dpuf

Fuzzy adaptive control system of a non-stationary plant with closed-loop passive identifier


Abstract

Typically chemical processes have significant nonlinear dynamics, but despite this, industry is conventionally still using PID-based regulatory control systems. Moreover, process units are interconnected, in terms of inlet and outlet material/energy flows, to other neighboring units, thus their dynamic behavior is strongly influenced by these connections and, as a consequence, conventional control systems performance often proves to be poor.
This paper proposes a hybrid fuzzy PID control logic, whose tuning parameters are provided in real time. The fuzzy controller tuning is made on the basis of Mamdani controller, also exploiting the results coming from an identification procedure that is carried on when an unmeasured step disturbance of any shape affects the process behavior.
In addition, this paper compares a fuzzy logic based PID with PID regulators whose tuning is performed by standard and well-known methods. In some cases the proposed tuning methodology ensures a control performance that is comparable to that guaranteed by simpler and more common tuning methods. However, in case of dynamic changes in the parameters of the controlled system, conventionally tuned PID controllers do not show to be robust enough, thus suggesting that fuzzy logic based PIDs are definitively more reliable and effective.

Keywords

  • PID-controller
  • Identification
  • Fuzzy controller
  • Closed-loop
  • Unknown disturbances;
  • Auto-tuning control

1. Introduction

Nowadays the conventional proportional-integral-derivative (PID) controllers are the most widely used for process control in most of the industrial plants. The success of PID control logic can be attributed to the achievement of simple structures of automatic control systems (ACS) and its effectiveness for linear systems [1][2][3][4][5],[6] and [7]. There is a wide variety of PID controllers tuning rules: the Ziegler-Nichols rule[8][9] and [10], the magnitude optimum method [11][12][13][14][15] and [16], the direct synthesis methods [17] and [18], the Internal Model Control methods [9][19],[20] and [21], the minimum error integral criteria [22][23] and [24], the iterative feedback tuning method [25], the virtual reference feedback tuning method [26] and [27], the approximate M-constrained integral gain optimization method [28], AMIGO method [29]and others. The required quality of a PID control system can be achieved by means of a variety of tuning rules once a linear model of the controlled system and a criteria for the assessment of the control performance are chosen.
Usually the conventional PID controller is not effective for complex dynamic systems[30] and [31]. The complex dynamic systems are those systems with non-linear static characteristics, i.e. those systems that are described by differential equations with time-varying parameters. This feature essentially complicates the design and analysis of PID-based control systems and decreases their control performance.
A number of researchers have conducted studies to combine a conventional PID controller with a fuzzy logic controller (FLC) in order to achieve a better control quality in ACS rather than the one guaranteed by conventional PID controllers. The idea of using fuzzy sets [32] is successfully applied, for the first time, in the control of a dynamic plant developed by Mamdani and Assilian [33]. Currently, there are different types of FLC, but a PID-based FLC is the most common and practical for applications to ACS [34][35],[36][37] and [38]. Such FLC is equivalent to a conventional PID controller for the input-output structure [34] and [39]. PID-based FLC may be constructed by sequentially incorporating FLC and PID controllers or paralleling PID and FLC (PID with an adapter based on FLC). Moreover, the use of FLC logic makes it easy to add nonlinearities and additional input signals to the control law [1], that, in turn, allows to apply PID-based FLC to complex dynamic systems.
A priori information about the dynamics of the controlled plant is required for the synthesis of PID-based FLC. Hammerstein and Wiener models may be used to describe complex dynamics real-life processes [40][41][42] and [43]. Hammerstein and Wiener models are methodologies constituted by the combination of a static nonlinearity (N) and a linear system (L), respectively in the N-L and L-N form. The problem of identifying N and L from input-output data has attracted and attracts a lot of research interests and many methods are available for this problem in literature [40][41][42][43][44],[45] and [46]. The nonlinear dynamic system can be approximated by a linear dynamic system near the operating point, which is sufficient for PID tuning. It is not a simple task to define the parameters of the linear dynamic model approximation in the closed-loop system. In [47][48] and [49] active methods of identification are proposed; here sine waves in input are used to excite the Wiener continuous-time system and frequency methods are used to determine the unknowns. Unknown additive disturbances create problems for closed-loop identification [50]. Good results can be obtained by using MATLAB system identification toolbox for the identification of the parameters of the process with the use of ARX, ARMAX, BJ state space, polynomial models and others[51].
Practically, in chemical and nuclear industries (i.e. integrated separations, extractions[52] and [53], crystallization processes to purify U and Pu from other fusion side-components) any processing step has a high level of automation but, in the contrary an insufficient automation in process control occurs. Moreover field operators need to work within the control loops of complex physicochemical processes. On the one hand, all processes are high responsibility technology (HRT), i.e. high performance technology with respect of safety level. On the other hand, they are also complex dynamic systems.
The purpose of the research is to develop a method of synthesis for low-level ACS (relative to HRT), which will provide the required control performance also in the presence of a significant change in the process parameters and several step disturbances with unknown amplitudes and durations. A Low-level ACS must fulfill the following limitations: control in the tight real-time mode should be performed with hot standby of the controllers; applied controllers have limited computation abilities which do not allow an extension of the mathematical support functions; for the purpose of control, conventional PID controllers should be employed.

2. Material and methods for the fuzzy adaptive control of a generic plant

The proposed method employs algorisms for the plant identification coupled with fuzzy systems such as Mamdami controllers [54] and [55]. The layout of a generic ACS plant is presented in Fig. 1 while a scheme of an adaptive fuzzy controller is shown in Fig. 2.
Fuzzy adaptive control system. g : reference signal; f* : non-measurable ...
Fig. 1. 
Fuzzy adaptive control system. g : reference signal; f* : non-measurable disturbance; f : measurable disturbance; Pu : plant control channel; Pf : plant disturbance channel; Pf* : plant non-measurable disturbance channel; y: controlled variable; ε : control error is defined as ε = g – y.
Adaptive fuzzy controller for an ACS.
Fig. 2. 
Adaptive fuzzy controller for an ACS.
The optimization problem consists of maximizing or minimizing a functional which plays the key role from the viewpoint of the design of adaptive and optimal control systems. It is addressed here in the following form:
equation1
min(Jek+Juk+Jnk)
where
equation2
equation3
Jnk the number of control error oscillations in the interval he, (2)
where k = 1,2, … ∞, εj – the control error, uj – the manipulated variable, he – the control error interval, hu – the control interval, j – the index of time sampling.
The adaptor-optimizer of the suggested ACS (see Fig. 2) includes the following blocks: an identifier, a fuzzy rules base generator, a Mamdani fuzzy output controller and JnJeand Ju terms calculation engines. The identification is performed in the closed-loop system in those operating conditions where the edge of the transient is reached (seeFig. 4).
Parameters of control object, obtained as a result the identification transmitted into generator fuzzy rules and used to calculate parameters controller by the magnitude optimum method. Obtained controller parameters are used to optimize the algorithm, which is shown in Fig. 3.
The principle of operation of the generator fuzzy rules.
Fig. 3. 
The principle of operation of the generator fuzzy rules.
The variation in the controlled variable, caused by the change of the non-measurable disturbance f*, is considered the initial signal for the identification procedure. The time instant t0 where the non-measurable step disturbance f* undergoes a step change is unknown. The time instant t1 is defined by the deviation threshold of y from g by Δy  >  yg, where yg is the required control accuracy, and t2 is the time instant of the y variable sign change. The parameters of the plant are defined by Levenberg-Marquardt optimization method. In this case, the measured disturbance f, the control action u and the controlled variable y (see Fig. 1Fig. 2Fig. 3 and Fig. 4) are supplied to the identifier input in the time interval whose lower and upper bounds are, respectively, t2 and t3.
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