Pumping lemma numerical
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The document applies the pumping lemma to a language L to show that L is not regular. It chooses a string w in L of length at least m, where m is the pumping length. It then shows that w can be pumped to generate strings both in and not in L, resulting in a contradiction. This contradiction means the assumption that L is regular is false, so L must be non-regular.
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des audit elleguilt disons s'il souhait sous sirs vous lucius atoutes pouvait letsWireless-Charger presentation for seminar .pdf
Wireless-Charger presentation for seminar .pdfAbhinandanMishra30
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Wireless technology used in chargerCommon Network Architecture:X.25 Networks, Ethernet (Standard and Fast): fram...
Common Network Architecture:X.25 Networks, Ethernet (Standard and Fast): fram...SnehPrasad2
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X.25 Networks, Ethernet (Standard and Fast): frame format and specifications, Wireless LANs 802.11x, 802.3 Bluetooth etc.
ESIT135 Problem Solving Using Python Notes of Unit-3
ESIT135 Problem Solving Using Python Notes of Unit-3prasadmutkule1
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ESIT135 Problem Solving Using Python Notes of Unit-3 Indian Soil Classification System in Geotechnical Engineering
Indian Soil Classification System in Geotechnical EngineeringRajani Vyawahare
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This PowerPoint presentation provides a comprehensive overview of the Indian Soil Classification System, widely used in geotechnical engineering for identifying and categorizing soils based on their properties. It covers essential aspects such as particle size distribution, sieve analysis, and Atterberg consistency limits, which play a crucial role in determining soil behavior for construction and foundation design. The presentation explains the classification of soil based on particle size, including gravel, sand, silt, and clay, and details the sieve analysis experiment used to determine grain size distribution. Additionally, it explores the Atterberg consistency limits, such as the liquid limit, plastic limit, and shrinkage limit, along with a plasticity chart to assess soil plasticity and its impact on engineering applications. Furthermore, it discusses the Indian Standard Soil Classification (IS 1498:1970) and its significance in construction, along with a comparison to the Unified Soil Classification System (USCS). With detailed explanations, graphs, charts, and practical applications, this presentation serves as a valuable resource for students, civil engineers, and researchers in the field of geotechnical engineering. Practice Head Torpedo - Neometrix Defence.pptx
Practice Head Torpedo - Neometrix Defence.pptxNeometrix_Engineering_Pvt_Ltd
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About
Practice Head is assembled with Practice Torpedo intended for carrying out exercise firings. It is assembled with Homing Head in the forward section and oxygen flask in the rear section. Practice Head imparts positive buoyancy to the Torpedo at the end of run. The Practice Head is divided into two compartments viz. Ballast Compartment (Houses Light Device, Depth & Roll Recorder, Signal Flare Ejector, Discharge Valve, Stop Cock, Water discharge Valve, Bellow reducing Valve, Release Mechanism, Recess, Bypass Valve, Pressure Equalizer, Float, Sinking Plug etc.) which provides positive buoyancy at the end of run by discharging water (140 ltrs.) filled in the compartment and Instrument compartment (dry), houses (safety & recovery unit and its battery, combined homing and influence exploder equipment, noise maker, bollards & safety valve etc.) The recess in Ballast compartment houses the float which gets inflated at the end of run to provide floatation to the surfaced Torpedo. Several hand holes/recesses are provided on the casing/shell of Practice Head for assembly of the following components:-
a) Signal Flare Ejector Assembly
b) Depth and Roll Recorder Assembly
c) Light Device
d) Pressure equalizer
e) Drain/Discharge Valve assembly
f) Bollard Assembly
g) Holding for Floater/Balloon Assembly
h) Sinking Valve
i) Safety Valve
j) Inspection hand hole
Technical Details:
SrNo Items Specifications
1 Aluminum Alloy (AlMg5)
Casing Body Material: AlMg5
Larger Outer Diameter of the Casing: 532.4 MM
Smaller Outer Diameter of the Casing: 503.05 MM
Total Length: 1204.20 MM
Thickness: 6-8 mm
Structural Details of Casing: The casing is of uniform outer dia for a certain distance from rear side and tapered from a definite distance to the front side. (Refer T-DAP-A1828-GADWG-PH- REV 00)
Slope of the Tapered Portion: 1/8
Mass of Casing (Without components mounting, but including the ribs and collars on the body): 58.5 kg
Maximum External Test Pressure: 12 kgf/cm2
Maximum Internal Test Pressure:-
i. For Ballast Compartment: 2 kgf/cm2
ii. For Instrument Compartment: 1 kgf/cm2
Innerspace of casing assembly have 2 compartments:-
i. Ballast Compartment and
ii. Instrument Compartment
Cut outs/ recesses shall be provided for the assembly of following components.
a) Signal Flare Ejector Assembly
b) Depth and Roll Recorder Assembly
c) Light Device
d) Pressure Equalizer
e) Drain/ discharge valve assembly
2 Front Side Collar Material: AlMg5
Maximum Outer Diameter: 500 MM
Pitch Circle Diameter: 468 MM
All Dimensions as per drawing T-DAP-A1828-MDWG-C&R-REV-00
Application:
In a torpedo, the ballast components and instrument compartment play crucial roles in maintaining stability, control, and overall operational effectiveness. The ballast system primarily manages buoyancy and trim, ensuring that the torpedo maintains a stable trajectory underwater.Pumping lemma numerical
- 1. 1
- 2. 2 mmm cbaw 2 We pick Let be the integer in the Pumping Lemma Pick a string such that: w Lw mw ||length m }0,:{ 鰹 lncbaL lnln and
- 3. 3 Write zyxcba mmm 2 it must be that length From the Pumping Lemma cccbcabaaaaaxyz .................. x y z m m m2 1||,|| 鰹 ymyx 1, 鰹 kay kThus:
- 4. 4 From the Pumping Lemma: Lzyx i ...,2,1,0i Thus: mmm cbazyx 2 Lxzzyx =0 1, 鰹 kay k
- 5. 5 From the Pumping Lemma: Lcccbcabaaaxz ............... x z km m m2 mmm cbazyx 2 1, 鰹 kay k Lxz Thus: Lcba mmkm 2
- 6. 6 Lcba mmkm 2 Lcba mmkm 2 BUT: CONTRADICTION!!! }0,:{ 鰹 lncbaL lnln 1k
- 7. 7 Our assumption that is a regular language is not true L Conclusion: L is not a regular language Therefore:
- 8. 8 Regular languages Non-regular languages }0:{ ! 鰹 naL n