SlideShare a Scribd company logo
1 of 23
Welcome
Topic
Parsimony Method for
Phylogenic Tree
Analysis
Presented By
Anika Ohab
ID:142-15-3568
Abul Hasnath
ID:142-15-3532
Umme Habiba
ID: 142-15-3677
Shahinur Rahman
ID: 142-15-3606
Introduction
kinds
terminology
construction
Parsimony method
advantage
disadvantage
Several criteria
Contents
Introduction
 A phylogenetic tree or evolutionary tree is
a branching diagram or "tree’’showing the
inferred evolutionary relationships among
various biological species
or
other entities—their phylogeny—based
upon similarities and differences in their
physical or genetic characteristics.
 Phylogenetic trees are central to the field
of phylogenetics.
What does this tree look like?
 There are many different ways to represent the
information found in a phylogenetic tree.
 The basic format of a tree is generally in one of the
two forms shown, although there are other ways to
represent the data.
phylogenetic tree
Rooted Unrooted
Kinds
“Rooted” &“Unrooted” tree
 A rooted tree is used to make inferences about
the most common ancestor of the leaves or
branches of the tree. Most commonly the root is
referred to as an “outgroup”.
 An unrooted tree is used to make an illustration
about the leaves or branches, but not make
assumption regarding a common ancestor.
The bifurcating tree
 A tree that bifurcates has a maximum of 2
descendants arising from each of the
interior nodes.
Diagram:
C
o
n
s
t
r
u
c
t
I
o
n
Computational
Phylogenetics Methods
Distance-matrix Methods
Neighbor-joining or
UPGMA
maximum likelihood
Parsimony Methods
Parsimony analysis
 Parsimony methods provide one way of choosing
among alternative phylogenetic hypotheses
 The parsimony criterion favours hypotheses that
maximise congruence and minimise homoplasy
 It depends on the idea of the fit of a character to a
tree
Character Fit
 Initially, we can define the fit of a character to a
tree as the minimum number of steps required to
explain the observed distribution of character
states among taxa
 This is determined by parsimonious character
optimization
 Characters differ in their fit to different trees
Frog
Cocodile
Bird
Kangeroo
Bat
Human
Hair
absent
present
Frog
Kangeroo
Cocodile
Human
Bat
Bird
Tree A
1 step
Tree B
2 steps
Character Fit
Parsimony Analysis
 Given a set of characters, such as aligned sequences
 parsimony analysis works by determining the fit
(number of steps) of each character on a given tree
 Most parsimonious trees (MPTs) have the minimum
tree length needed to explain the observed
distributions of all the characters
Frog
Bird
Crocodile
Kangeroo
Bat
Human
amnion
hair
wings
antorbital
fenestra
placenta
lactation
Tree 1
Tree 2
TAXAFIT
-
-
-
-
--
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+
-
+ -
+
-
CHARACTERS
1 2 3 4 5 6
+
+
+
+
1
1
TREE
LENGTH
1 1 1 1 2 7
2 2 2 2 1 10
Frog
Cocodile
Kangeroo
Bat
Bird
Human
1
2
3
6
4
4
5
5
2
3
Tree 2
Cocodile
Kangeroo
Frog
Bird
Bat
Human
1
Tree 1
2
3
4
66
5
Of these two trees, Tree 1 has the shortest length and is the most
parsimonious
Both trees require some homoplasy (extra steps)
Results of parsimony analysis
 One or more most parsimonious trees
 Hypotheses of character evolution associated with each
tree lengths
 Various tree and character statistics describing the fit
between tree and data
 Suboptimal trees - optional
Tree-building methods can be assessed on
the basis of several criteria:
Efficiency Power
consistency robustness
falsifiability
Parsimony - advantages
 is a simple method - easily understood operation
 does not seem to depend on an explicit model of
evolution
 gives both trees and associated hypotheses of
character evolution
 should give reliable results if the data is well structured
and homoplasy is either rare or widely (randomly)
distributed on the tree
Parsimony - disadvantages
 May give misleading results if homoplasy is common or
concentrated in particular parts of the tree, e.g:
- thermophilic convergence
- base composition biases
- long branch attraction
 Underestimates branch lengths
 Model of evolution is implicit - behaviour of method
not well understood
 Parsimony often justified on purely philosophical
grounds - we must prefer simplest hypotheses -
particularly by morphologists
The End
Thank You

More Related Content

Viewers also liked (11)

120901 PMS data handling example
120901 PMS data handling example120901 PMS data handling example
120901 PMS data handling example
 
Français express
Français expressFrançais express
Français express
 
About TrueNorth Consulting
About TrueNorth ConsultingAbout TrueNorth Consulting
About TrueNorth Consulting
 
ENERGY EFFICIENT ROUTING ALGORITHM
ENERGY EFFICIENT ROUTING ALGORITHMENERGY EFFICIENT ROUTING ALGORITHM
ENERGY EFFICIENT ROUTING ALGORITHM
 
BIO-CHEMICAL CHANGES OF NUTRIENTS IN RICE PLANT UNDER SODIC SOILS
BIO-CHEMICAL CHANGES OF NUTRIENTS IN RICE PLANT UNDER SODIC SOILSBIO-CHEMICAL CHANGES OF NUTRIENTS IN RICE PLANT UNDER SODIC SOILS
BIO-CHEMICAL CHANGES OF NUTRIENTS IN RICE PLANT UNDER SODIC SOILS
 
What can Digital marketing Need For You
What can Digital marketing Need For YouWhat can Digital marketing Need For You
What can Digital marketing Need For You
 
AMIGOS
AMIGOSAMIGOS
AMIGOS
 
Sidney lewis DIEGO LARA, BRUNO MURILLO, FERNANDO SANTOYO 205
Sidney lewis DIEGO LARA, BRUNO MURILLO, FERNANDO SANTOYO 205Sidney lewis DIEGO LARA, BRUNO MURILLO, FERNANDO SANTOYO 205
Sidney lewis DIEGO LARA, BRUNO MURILLO, FERNANDO SANTOYO 205
 
Sufiyan_CV_Upated- DEC- 2014
Sufiyan_CV_Upated- DEC- 2014Sufiyan_CV_Upated- DEC- 2014
Sufiyan_CV_Upated- DEC- 2014
 
CitySprintHealthcarebrochure
CitySprintHealthcarebrochureCitySprintHealthcarebrochure
CitySprintHealthcarebrochure
 
El óvalo imperfecto
El óvalo imperfectoEl óvalo imperfecto
El óvalo imperfecto
 

Similar to Bio info

Report on Phylogenetic tree
Report on Phylogenetic treeReport on Phylogenetic tree
Report on Phylogenetic treeSanzid Kawsar
 
PHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plantsPHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plantsbolawapraise
 
Phylogenetic tree and it's types
Phylogenetic tree and it's typesPhylogenetic tree and it's types
Phylogenetic tree and it's typesNizadSultana
 
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)Somsak Likhitrattanapisal
 
A search engine for phylogenetic tree databases - D. Fernándes-Baca
A search engine for phylogenetic tree databases - D. Fernándes-BacaA search engine for phylogenetic tree databases - D. Fernándes-Baca
A search engine for phylogenetic tree databases - D. Fernándes-BacaRoderic Page
 
Basics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.pptBasics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.pptSehrishSarfraz2
 
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2MIB200A at UCDavis Module: Microbial Phylogeny; Class 2
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2Jonathan Eisen
 
What is a phylogenetic tree
What is a phylogenetic treeWhat is a phylogenetic tree
What is a phylogenetic treeislam jan buneri
 
Evolution Phylogenetic
Evolution PhylogeneticEvolution Phylogenetic
Evolution PhylogeneticSamsil Arefin
 
PHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptxPHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptxSilpa87
 
Computational phylogenetics theoretical concepts, methods with practical on C...
Computational phylogenetics theoretical concepts, methods with practical on C...Computational phylogenetics theoretical concepts, methods with practical on C...
Computational phylogenetics theoretical concepts, methods with practical on C...ZarlishAttique1
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptxpoonambansal32
 
161S16_systematics.pptx
161S16_systematics.pptx161S16_systematics.pptx
161S16_systematics.pptxaprilrances1
 
Basic Terminologies of Tree and Tree Traversal methods.pptx
Basic Terminologies of Tree and Tree Traversal methods.pptxBasic Terminologies of Tree and Tree Traversal methods.pptx
Basic Terminologies of Tree and Tree Traversal methods.pptx22001003058
 

Similar to Bio info (20)

Parsimony methods
Parsimony methodsParsimony methods
Parsimony methods
 
Report on Phylogenetic tree
Report on Phylogenetic treeReport on Phylogenetic tree
Report on Phylogenetic tree
 
PHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plantsPHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plants
 
phylogenetics.pdf
phylogenetics.pdfphylogenetics.pdf
phylogenetics.pdf
 
Phylogenetic tree and it's types
Phylogenetic tree and it's typesPhylogenetic tree and it's types
Phylogenetic tree and it's types
 
Phylogeny-Abida.pptx
Phylogeny-Abida.pptxPhylogeny-Abida.pptx
Phylogeny-Abida.pptx
 
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)
AnMicro-TBRC Seminar on Phylogenetic Analysis (EP.1)
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
 
A search engine for phylogenetic tree databases - D. Fernándes-Baca
A search engine for phylogenetic tree databases - D. Fernándes-BacaA search engine for phylogenetic tree databases - D. Fernándes-Baca
A search engine for phylogenetic tree databases - D. Fernándes-Baca
 
Basics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.pptBasics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.ppt
 
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2MIB200A at UCDavis Module: Microbial Phylogeny; Class 2
MIB200A at UCDavis Module: Microbial Phylogeny; Class 2
 
What is a phylogenetic tree
What is a phylogenetic treeWhat is a phylogenetic tree
What is a phylogenetic tree
 
Evolution Phylogenetic
Evolution PhylogeneticEvolution Phylogenetic
Evolution Phylogenetic
 
PHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptxPHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptx
 
3035 e1 (2)
3035 e1 (2)3035 e1 (2)
3035 e1 (2)
 
Computational phylogenetics theoretical concepts, methods with practical on C...
Computational phylogenetics theoretical concepts, methods with practical on C...Computational phylogenetics theoretical concepts, methods with practical on C...
Computational phylogenetics theoretical concepts, methods with practical on C...
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
 
161S16_systematics.pptx
161S16_systematics.pptx161S16_systematics.pptx
161S16_systematics.pptx
 
Molecular phylogenetics
Molecular phylogeneticsMolecular phylogenetics
Molecular phylogenetics
 
Basic Terminologies of Tree and Tree Traversal methods.pptx
Basic Terminologies of Tree and Tree Traversal methods.pptxBasic Terminologies of Tree and Tree Traversal methods.pptx
Basic Terminologies of Tree and Tree Traversal methods.pptx
 

More from Umme habiba

Compiler lab final report writing
Compiler lab final report writingCompiler lab final report writing
Compiler lab final report writingUmme habiba
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking systemUmme habiba
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking systemUmme habiba
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking systemUmme habiba
 
Accounting adjusting
Accounting adjustingAccounting adjusting
Accounting adjustingUmme habiba
 
Economic.assignment
Economic.assignmentEconomic.assignment
Economic.assignmentUmme habiba
 
Major economic problems of bangladesh
Major economic problems of bangladeshMajor economic problems of bangladesh
Major economic problems of bangladeshUmme habiba
 
Overview of various types of operating system
Overview of various types of operating systemOverview of various types of operating system
Overview of various types of operating systemUmme habiba
 
Os lab report(shell coding)
Os lab report(shell coding)Os lab report(shell coding)
Os lab report(shell coding)Umme habiba
 
Ecommerce(online Shopping)
Ecommerce(online Shopping)Ecommerce(online Shopping)
Ecommerce(online Shopping)Umme habiba
 
Different types of Addressing.cao
Different types of Addressing.caoDifferent types of Addressing.cao
Different types of Addressing.caoUmme habiba
 
2nd generation of computer
2nd generation of computer2nd generation of computer
2nd generation of computerUmme habiba
 
Art_of_living assignment
Art_of_living assignmentArt_of_living assignment
Art_of_living assignmentUmme habiba
 
Informationsecurity
InformationsecurityInformationsecurity
InformationsecurityUmme habiba
 
SQL Joinning.Database
SQL Joinning.DatabaseSQL Joinning.Database
SQL Joinning.DatabaseUmme habiba
 
WLAN of networking.ppt
WLAN of networking.pptWLAN of networking.ppt
WLAN of networking.pptUmme habiba
 
simpson's in numerical method
simpson's in numerical methodsimpson's in numerical method
simpson's in numerical methodUmme habiba
 
Error detection in Data comunication
 Error detection in Data comunication Error detection in Data comunication
Error detection in Data comunicationUmme habiba
 
microsoft word & powerpoint
 microsoft word & powerpoint microsoft word & powerpoint
microsoft word & powerpointUmme habiba
 

More from Umme habiba (20)

Compiler lab final report writing
Compiler lab final report writingCompiler lab final report writing
Compiler lab final report writing
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking system
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking system
 
online bus ticket booking system
online bus ticket booking systemonline bus ticket booking system
online bus ticket booking system
 
Accounting adjusting
Accounting adjustingAccounting adjusting
Accounting adjusting
 
Economic.assignment
Economic.assignmentEconomic.assignment
Economic.assignment
 
Major economic problems of bangladesh
Major economic problems of bangladeshMajor economic problems of bangladesh
Major economic problems of bangladesh
 
Overview of various types of operating system
Overview of various types of operating systemOverview of various types of operating system
Overview of various types of operating system
 
Os lab report(shell coding)
Os lab report(shell coding)Os lab report(shell coding)
Os lab report(shell coding)
 
Ecommerce(online Shopping)
Ecommerce(online Shopping)Ecommerce(online Shopping)
Ecommerce(online Shopping)
 
Different types of Addressing.cao
Different types of Addressing.caoDifferent types of Addressing.cao
Different types of Addressing.cao
 
2nd generation of computer
2nd generation of computer2nd generation of computer
2nd generation of computer
 
Art_of_living assignment
Art_of_living assignmentArt_of_living assignment
Art_of_living assignment
 
Art_of_living
Art_of_livingArt_of_living
Art_of_living
 
Informationsecurity
InformationsecurityInformationsecurity
Informationsecurity
 
SQL Joinning.Database
SQL Joinning.DatabaseSQL Joinning.Database
SQL Joinning.Database
 
WLAN of networking.ppt
WLAN of networking.pptWLAN of networking.ppt
WLAN of networking.ppt
 
simpson's in numerical method
simpson's in numerical methodsimpson's in numerical method
simpson's in numerical method
 
Error detection in Data comunication
 Error detection in Data comunication Error detection in Data comunication
Error detection in Data comunication
 
microsoft word & powerpoint
 microsoft word & powerpoint microsoft word & powerpoint
microsoft word & powerpoint
 

Recently uploaded

(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service
(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service
(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Serviceranjana rawat
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )Tsuyoshi Horigome
 
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxDecoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxJoão Esperancinha
 
Call Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile serviceCall Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile servicerehmti665
 
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130Suhani Kapoor
 
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur High Profile
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Dr.Costas Sachpazis
 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxpurnimasatapathy1234
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxAsutosh Ranjan
 
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...ranjana rawat
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxupamatechverse
 
Processing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxProcessing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxpranjaldaimarysona
 
GDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSCAESB
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingrakeshbaidya232001
 
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escortsranjana rawat
 
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCollege Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCall Girls in Nagpur High Profile
 

Recently uploaded (20)

(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service
(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service
(RIA) Call Girls Bhosari ( 7001035870 ) HI-Fi Pune Escorts Service
 
SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )SPICE PARK APR2024 ( 6,793 SPICE Models )
SPICE PARK APR2024 ( 6,793 SPICE Models )
 
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptxDecoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
Decoding Kotlin - Your guide to solving the mysterious in Kotlin.pptx
 
Call Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile serviceCall Girls Delhi {Jodhpur} 9711199012 high profile service
Call Girls Delhi {Jodhpur} 9711199012 high profile service
 
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
VIP Call Girls Service Kondapur Hyderabad Call +91-8250192130
 
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur EscortsCall Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
Call Girls in Nagpur Suman Call 7001035870 Meet With Nagpur Escorts
 
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
Sheet Pile Wall Design and Construction: A Practical Guide for Civil Engineer...
 
Microscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptxMicroscopic Analysis of Ceramic Materials.pptx
Microscopic Analysis of Ceramic Materials.pptx
 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
 
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
(ANJALI) Dange Chowk Call Girls Just Call 7001035870 [ Cash on Delivery ] Pun...
 
Introduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptxIntroduction to Multiple Access Protocol.pptx
Introduction to Multiple Access Protocol.pptx
 
Processing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptxProcessing & Properties of Floor and Wall Tiles.pptx
Processing & Properties of Floor and Wall Tiles.pptx
 
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCRCall Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
Call Us -/9953056974- Call Girls In Vikaspuri-/- Delhi NCR
 
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINEDJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
DJARUM4D - SLOT GACOR ONLINE | SLOT DEMO ONLINE
 
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptxExploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
Exploring_Network_Security_with_JA3_by_Rakesh Seal.pptx
 
GDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentationGDSC ASEB Gen AI study jams presentation
GDSC ASEB Gen AI study jams presentation
 
★ CALL US 9953330565 ( HOT Young Call Girls In Badarpur delhi NCR
★ CALL US 9953330565 ( HOT Young Call Girls In Badarpur delhi NCR★ CALL US 9953330565 ( HOT Young Call Girls In Badarpur delhi NCR
★ CALL US 9953330565 ( HOT Young Call Girls In Badarpur delhi NCR
 
Porous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writingPorous Ceramics seminar and technical writing
Porous Ceramics seminar and technical writing
 
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts
(MEERA) Dapodi Call Girls Just Call 7001035870 [ Cash on Delivery ] Pune Escorts
 
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service NashikCollege Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
College Call Girls Nashik Nehal 7001305949 Independent Escort Service Nashik
 

Bio info