SlideShare a Scribd company logo
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
 It’s a simple method - easily understood operation
 Its does not seem to depend on an explicit model of
evolution
 gives both trees and associated hypotheses of
character evolution
 good statistical properties when amounts of change are
small
Parsimony - disadvantages
 may lead to the delusion that you know exactly what
happened in evolution, in detail.
Underestimates branch lengths
 Model of evolution is implicit - behaviour of method
not well understood
 not model-based so people think it makes no
assumptions
The End
Thank You

More Related Content

What's hot

Phylogenetic analysis
Phylogenetic analysisPhylogenetic analysis
Phylogenetic analysis
National Institute of Biologics
 
Penetrance and expressivity.pdf
Penetrance and expressivity.pdfPenetrance and expressivity.pdf
Penetrance and expressivity.pdf
ChZaheer3
 
Cell cell hybridization or somatic cell hybridization
Cell cell hybridization or somatic cell hybridizationCell cell hybridization or somatic cell hybridization
Cell cell hybridization or somatic cell hybridization
Subhradeep sarkar
 
Molecular Phylogenetics
Molecular PhylogeneticsMolecular Phylogenetics
Molecular Phylogenetics
Meghaj Mallick
 
Parsimony methods
Parsimony methodsParsimony methods
Parsimony methods
safayet hossain
 
Application of Bioinformatics in different fields of sciences
Application of Bioinformatics in different fields of sciencesApplication of Bioinformatics in different fields of sciences
Application of Bioinformatics in different fields of sciences
Sobia
 
Protein and nucleic acid sequencing
Protein and nucleic acid sequencing Protein and nucleic acid sequencing
Protein and nucleic acid sequencing
KAUSHAL SAHU
 
animal behaviour topic reasoning.PPTX
animal behaviour topic reasoning.PPTXanimal behaviour topic reasoning.PPTX
animal behaviour topic reasoning.PPTX
ArikB
 
Lethal allele
Lethal alleleLethal allele
Lethal allele
Harshraj Shinde
 
Phylogeny
PhylogenyPhylogeny
Phylogeny
bhavnesthakur
 
Ramachandran Plot
Ramachandran PlotRamachandran Plot
Ramachandran Plot
Nishanth S
 
Population genetics
Population geneticsPopulation genetics
Population genetics
Ikram Ullah
 
Bisubstrate reactions enzyme kinetics
Bisubstrate reactions enzyme kineticsBisubstrate reactions enzyme kinetics
Bisubstrate reactions enzyme kinetics
Dilruba Afrin
 
Inbreeding
InbreedingInbreeding
Economic importance of invertebrates
Economic importance of invertebratesEconomic importance of invertebrates
Economic importance of invertebrates
Amir Amir
 
Genetic drift
Genetic drift Genetic drift
Genetic drift
ShwetA Kumari
 
Extra nuclear inheritance
Extra nuclear inheritanceExtra nuclear inheritance
Extra nuclear inheritance
Bahauddin Zakariya University lahore
 
Distance based method
Distance based method Distance based method
Distance based method
Adhena Lulli
 
Genetic drift
Genetic driftGenetic drift
Genetic drift
saraswatipawar3
 
Macroevolution
MacroevolutionMacroevolution
Macroevolution
Aftab Badshah
 

What's hot (20)

Phylogenetic analysis
Phylogenetic analysisPhylogenetic analysis
Phylogenetic analysis
 
Penetrance and expressivity.pdf
Penetrance and expressivity.pdfPenetrance and expressivity.pdf
Penetrance and expressivity.pdf
 
Cell cell hybridization or somatic cell hybridization
Cell cell hybridization or somatic cell hybridizationCell cell hybridization or somatic cell hybridization
Cell cell hybridization or somatic cell hybridization
 
Molecular Phylogenetics
Molecular PhylogeneticsMolecular Phylogenetics
Molecular Phylogenetics
 
Parsimony methods
Parsimony methodsParsimony methods
Parsimony methods
 
Application of Bioinformatics in different fields of sciences
Application of Bioinformatics in different fields of sciencesApplication of Bioinformatics in different fields of sciences
Application of Bioinformatics in different fields of sciences
 
Protein and nucleic acid sequencing
Protein and nucleic acid sequencing Protein and nucleic acid sequencing
Protein and nucleic acid sequencing
 
animal behaviour topic reasoning.PPTX
animal behaviour topic reasoning.PPTXanimal behaviour topic reasoning.PPTX
animal behaviour topic reasoning.PPTX
 
Lethal allele
Lethal alleleLethal allele
Lethal allele
 
Phylogeny
PhylogenyPhylogeny
Phylogeny
 
Ramachandran Plot
Ramachandran PlotRamachandran Plot
Ramachandran Plot
 
Population genetics
Population geneticsPopulation genetics
Population genetics
 
Bisubstrate reactions enzyme kinetics
Bisubstrate reactions enzyme kineticsBisubstrate reactions enzyme kinetics
Bisubstrate reactions enzyme kinetics
 
Inbreeding
InbreedingInbreeding
Inbreeding
 
Economic importance of invertebrates
Economic importance of invertebratesEconomic importance of invertebrates
Economic importance of invertebrates
 
Genetic drift
Genetic drift Genetic drift
Genetic drift
 
Extra nuclear inheritance
Extra nuclear inheritanceExtra nuclear inheritance
Extra nuclear inheritance
 
Distance based method
Distance based method Distance based method
Distance based method
 
Genetic drift
Genetic driftGenetic drift
Genetic drift
 
Macroevolution
MacroevolutionMacroevolution
Macroevolution
 

Similar to Parsimony analysis

Bio info
Bio infoBio info
Bio info
Umme habiba
 
Report on Phylogenetic tree
Report on Phylogenetic treeReport on Phylogenetic tree
Report on Phylogenetic tree
Sanzid Kawsar
 
PHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plantsPHYLOGENETIC TREE.pdf classification of plants
PHYLOGENETIC TREE.pdf classification of plants
bolawapraise
 
phylogenetics.pdf
phylogenetics.pdfphylogenetics.pdf
phylogenetics.pdf
SrimathideviJ
 
Phylogenetic tree and it's types
Phylogenetic tree and it's typesPhylogenetic tree and it's types
Phylogenetic tree and it's types
NizadSultana
 
Phylogeny-Abida.pptx
Phylogeny-Abida.pptxPhylogeny-Abida.pptx
Phylogeny-Abida.pptx
MuhammadRizwan863722
 
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-Baca
Roderic Page
 
Basics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.pptBasics of constructing Phylogenetic tree.ppt
Basics of constructing Phylogenetic tree.ppt
SehrishSarfraz2
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
ApoorvaUdayashankara
 
PHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptxPHYLOGENETIC ANALYSIS_CSS2.pptx
PHYLOGENETIC ANALYSIS_CSS2.pptx
Silpa87
 
3035 e1 (2)
3035 e1 (2)3035 e1 (2)
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
poonambansal32
 
Evolution Phylogenetic
Evolution PhylogeneticEvolution Phylogenetic
Evolution Phylogenetic
Samsil Arefin
 
What is a phylogenetic tree
What is a phylogenetic treeWhat is a phylogenetic tree
What is a phylogenetic tree
islam jan buneri
 
Phylogenetic analyses1
Phylogenetic analyses1Phylogenetic analyses1
Phylogenetic analyses1
Satyam Sonker
 
161S16_systematics.pptx
161S16_systematics.pptx161S16_systematics.pptx
161S16_systematics.pptx
aprilrances1
 
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
Jonathan Eisen
 
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
 
4 phylogeny-ch26
4 phylogeny-ch264 phylogeny-ch26
4 phylogeny-ch26
omaralzoubi73
 

Similar to Parsimony analysis (20)

Bio info
Bio infoBio info
Bio info
 
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)
 
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
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
 
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)
 
phylogenetic tree.pptx
phylogenetic tree.pptxphylogenetic tree.pptx
phylogenetic tree.pptx
 
Evolution Phylogenetic
Evolution PhylogeneticEvolution Phylogenetic
Evolution Phylogenetic
 
What is a phylogenetic tree
What is a phylogenetic treeWhat is a phylogenetic tree
What is a phylogenetic tree
 
Phylogenetic analyses1
Phylogenetic analyses1Phylogenetic analyses1
Phylogenetic analyses1
 
161S16_systematics.pptx
161S16_systematics.pptx161S16_systematics.pptx
161S16_systematics.pptx
 
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
 
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...
 
4 phylogeny-ch26
4 phylogeny-ch264 phylogeny-ch26
4 phylogeny-ch26
 

Recently uploaded

在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
v7oacc3l
 
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
74nqk8xf
 
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
apvysm8
 
Analysis insight about a Flyball dog competition team's performance
Analysis insight about a Flyball dog competition team's performanceAnalysis insight about a Flyball dog competition team's performance
Analysis insight about a Flyball dog competition team's performance
roli9797
 
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
Social Samosa
 
Palo Alto Cortex XDR presentation .......
Palo Alto Cortex XDR presentation .......Palo Alto Cortex XDR presentation .......
Palo Alto Cortex XDR presentation .......
Sachin Paul
 
A presentation that explain the Power BI Licensing
A presentation that explain the Power BI LicensingA presentation that explain the Power BI Licensing
A presentation that explain the Power BI Licensing
AlessioFois2
 
Predictably Improve Your B2B Tech Company's Performance by Leveraging Data
Predictably Improve Your B2B Tech Company's Performance by Leveraging DataPredictably Improve Your B2B Tech Company's Performance by Leveraging Data
Predictably Improve Your B2B Tech Company's Performance by Leveraging Data
Kiwi Creative
 
Global Situational Awareness of A.I. and where its headed
Global Situational Awareness of A.I. and where its headedGlobal Situational Awareness of A.I. and where its headed
Global Situational Awareness of A.I. and where its headed
vikram sood
 
Experts live - Improving user adoption with AI
Experts live - Improving user adoption with AIExperts live - Improving user adoption with AI
Experts live - Improving user adoption with AI
jitskeb
 
Challenges of Nation Building-1.pptx with more important
Challenges of Nation Building-1.pptx with more importantChallenges of Nation Building-1.pptx with more important
Challenges of Nation Building-1.pptx with more important
Sm321
 
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
nuttdpt
 
The Ipsos - AI - Monitor 2024 Report.pdf
The  Ipsos - AI - Monitor 2024 Report.pdfThe  Ipsos - AI - Monitor 2024 Report.pdf
The Ipsos - AI - Monitor 2024 Report.pdf
Social Samosa
 
Learn SQL from basic queries to Advance queries
Learn SQL from basic queries to Advance queriesLearn SQL from basic queries to Advance queries
Learn SQL from basic queries to Advance queries
manishkhaire30
 
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
zsjl4mimo
 
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
74nqk8xf
 
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
nuttdpt
 
Intelligence supported media monitoring in veterinary medicine
Intelligence supported media monitoring in veterinary medicineIntelligence supported media monitoring in veterinary medicine
Intelligence supported media monitoring in veterinary medicine
AndrzejJarynowski
 
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
Aggregage
 
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
nyfuhyz
 

Recently uploaded (20)

在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
在线办理(英国UCA毕业证书)创意艺术大学毕业证在读证明一模一样
 
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
一比一原版(牛布毕业证书)牛津布鲁克斯大学毕业证如何办理
 
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
办(uts毕业证书)悉尼科技大学毕业证学历证书原版一模一样
 
Analysis insight about a Flyball dog competition team's performance
Analysis insight about a Flyball dog competition team's performanceAnalysis insight about a Flyball dog competition team's performance
Analysis insight about a Flyball dog competition team's performance
 
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
4th Modern Marketing Reckoner by MMA Global India & Group M: 60+ experts on W...
 
Palo Alto Cortex XDR presentation .......
Palo Alto Cortex XDR presentation .......Palo Alto Cortex XDR presentation .......
Palo Alto Cortex XDR presentation .......
 
A presentation that explain the Power BI Licensing
A presentation that explain the Power BI LicensingA presentation that explain the Power BI Licensing
A presentation that explain the Power BI Licensing
 
Predictably Improve Your B2B Tech Company's Performance by Leveraging Data
Predictably Improve Your B2B Tech Company's Performance by Leveraging DataPredictably Improve Your B2B Tech Company's Performance by Leveraging Data
Predictably Improve Your B2B Tech Company's Performance by Leveraging Data
 
Global Situational Awareness of A.I. and where its headed
Global Situational Awareness of A.I. and where its headedGlobal Situational Awareness of A.I. and where its headed
Global Situational Awareness of A.I. and where its headed
 
Experts live - Improving user adoption with AI
Experts live - Improving user adoption with AIExperts live - Improving user adoption with AI
Experts live - Improving user adoption with AI
 
Challenges of Nation Building-1.pptx with more important
Challenges of Nation Building-1.pptx with more importantChallenges of Nation Building-1.pptx with more important
Challenges of Nation Building-1.pptx with more important
 
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
一比一原版(UCSF文凭证书)旧金山分校毕业证如何办理
 
The Ipsos - AI - Monitor 2024 Report.pdf
The  Ipsos - AI - Monitor 2024 Report.pdfThe  Ipsos - AI - Monitor 2024 Report.pdf
The Ipsos - AI - Monitor 2024 Report.pdf
 
Learn SQL from basic queries to Advance queries
Learn SQL from basic queries to Advance queriesLearn SQL from basic queries to Advance queries
Learn SQL from basic queries to Advance queries
 
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
一比一原版(Harvard毕业证书)哈佛大学毕业证如何办理
 
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
一比一原版(Coventry毕业证书)考文垂大学毕业证如何办理
 
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
一比一原版(UCSB文凭证书)圣芭芭拉分校毕业证如何办理
 
Intelligence supported media monitoring in veterinary medicine
Intelligence supported media monitoring in veterinary medicineIntelligence supported media monitoring in veterinary medicine
Intelligence supported media monitoring in veterinary medicine
 
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
Beyond the Basics of A/B Tests: Highly Innovative Experimentation Tactics You...
 
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
一比一原版(UMN文凭证书)明尼苏达大学毕业证如何办理
 

Parsimony analysis