Overview / Introduction
The Ladya Togliatti Juniors is a prominent ice hockey team based in the Togliatti region of Russia. Competing in the Russian Junior Hockey League (MHL), the team was established in 2010. The current head coach, Alexander Ivanov, leads the squad with a focus on developing young talent.
Team History and Achievements
The Ladya Togliatti Juniors have made significant strides since their formation. They clinched their first league title in 2015, marking them as a formidable force in junior hockey. Notable seasons include 2018 and 2020, where they finished top three in the league standings.
Current Squad and Key Players
The squad boasts several standout players. Ivan Petrov, a forward known for his agility and scoring ability, is a key asset. Defenders like Mikhail Sidorov provide stability with his defensive prowess. The goalie, Alexei Kuznetsov, is renowned for his impressive save percentage.
Team Playing Style and Tactics
Ladya Togliatti Juniors employ an aggressive offensive strategy, often utilizing a 1-3-1 formation to maximize puck control and shooting opportunities. Their strengths lie in fast breaks and power play execution, though they occasionally struggle with defensive lapses against high-tempo teams.
Interesting Facts and Unique Traits
Fans affectionately call the team “The Iron Girls,” reflecting their tenacity on the ice. The rivalry with Neftekhimik is particularly intense, drawing large crowds to matches. Traditions include pre-game chants led by senior players to boost team morale.
Lists & Rankings of Players, Stats, or Performance Metrics
- Ivan Petrov: Top scorer ✅ High assist rate 🎰
- Mikhail Sidorov: Best defender ✅ Excellent penalty kill 💡
- Alexei Kuznetsov: Top goalie ❌ Needs improvement in rebound control
Comparisons with Other Teams in the League or Division
Ladya Togliatti Juniors are often compared to Dynamo Moscow for their strong offensive play. However, Dynamo excels defensively, giving them an edge in close matches.
Case Studies or Notable Matches
In the 2019 playoffs, Ladya Togliatti Juniors staged a remarkable comeback against Metallurg Magnitogorsk, winning 4-3 after trailing by two goals in the third period. This game is celebrated for its strategic timeout adjustments by Coach Ivanov.
| Statistic | Ladya Togliatti Juniors | Neftekhimik Youth Team |
|---|---|---|
| Average Goals per Game | 3.5 | 3.0 |
| Penalty Kill Success Rate (%) | 82% | 85% |
| Last Five Games Form (W/L/D) | W-W-L-W-D | L-W-W-L-L |
Tips & Recommendations for Analyzing the Team or Betting Insights 💡 Advice Blocks
- Analyze recent head-to-head records before placing bets.
- Consider player injuries that might affect performance.
- Monitor weather conditions if games are outdoors as it can impact play style.
Frequently Asked Questions (FAQ)
What makes Ladya Togliatti Juniors a strong betting choice?
Their consistent offensive play and ability to perform under pressure make them attractive for bettors looking for high-scoring games.
Who are some key players to watch?
Ivan Petrov and Alexei Kuznetsov are pivotal; Petrov’s scoring ability and Kuznetsov’s goaltending can significantly influence match outcomes.
How does Ladya Togliatti Juniors compare defensively?
Their defense has room for improvement but excels during power plays due to strategic positioning.
Quotes or Expert Opinions about the Team (Quote Block)
“Ladya Togliatti Juniors have shown remarkable resilience this season,” says sports analyst Dmitry Volkov. “Their dynamic offense keeps opponents on their toes.”
Pros & Cons of the Team’s Current Form or Performance (✅❌ Lists)
- Prominent Pros:
- Solid offensive lineup ✅ High scoring potential 🎰 Effective special teams units 💡 Consistent top performers ✅
- Prominent Cons:</l[0]: import numpy as np
[1]: import matplotlib.pyplot as plt[2]: from scipy.stats import norm
[3]: def plot_bayes_factor_posteriors(
[4]: data,
[5]: theta_range,
[6]: theta_true=None,
[7]: prior_mean=0,
[8]: prior_std=100,
[9]: num_bins=20,
[10]: show=True,
[11]: ):
[12]: """Plot posterior distribution of Bayes factor.[13]: Parameters
[14]: ———-
[15]: data : array-like
[16]: Data points.
[17]: theta_range : tuple
[18]: Range of values over which posterior distribution will be evaluated.
[19]: Should be of form (lower_bound, upper_bound).
[20]: theta_true : float
[21]: True value of parameter being tested.
[22]: If provided then will be indicated on plot.
[23]: prior_mean : float
[24]: Mean of prior distribution.
[25]: Default = 0.
[26]: prior_std : float
[27]: Standard deviation of prior distribution.
[28]: Default = 100.***** Tag Data *****
ID: 1
description: Function definition `plot_bayes_factor_posteriors` which involves plotting
Bayesian posterior distributions using advanced statistical concepts such as Bayes'
theorem and normal distributions.
start line: 3
end line: 22
dependencies:
– type: Function
name: plot_bayes_factor_posteriors
start line: 3
end line: 22
context description: This function encapsulates complex statistical computations related
to Bayesian inference including calculating posteriors over a range of parameters,
potentially involving multiple steps such as computing likelihoods given data points,
applying priors via normal distributions, normalizing results etc., before finally
plotting these posteriors using matplotlib.
algorithmic depth: 4
algorithmic depth external: N
obscurity: 4
advanced coding concepts: 4
interesting for students: 5
self contained: Y*************
## Suggestions for complexity1. **Dynamic Prior Adjustments**: Implement logic that dynamically adjusts the prior based on new incoming data streams without having to recompute everything from scratch.
2. **Custom Likelihood Functions**: Allow users to input custom likelihood functions instead of assuming Gaussian errors around data points.
3. **Hierarchical Bayesian Models**: Extend functionality to support hierarchical models where parameters themselves have hyperparameters that need inference.
4. **Parallel Computation**: Integrate parallel processing capabilities so that posterior calculations over large datasets can be performed more efficiently.
5. **Interactive Plotting**: Enhance plotting functionality to be interactive using libraries like Plotly or Bokeh so users can zoom into specific regions or adjust bin sizes dynamically.
## Conversation
: Hey AI i got this function here [SNIPPET] but I want it to dynamically adjust priors based on new data streams how do I do that?
: Sure! To dynamically adjust priors based on new data streams without recomputing everything from scratch, you’ll need to implement an online updating mechanism for your priors.
Here’s how you could modify your function:
python
import numpy as npdef update_prior(prior_mean, prior_std, new_data):
n = len(new_data)
sample_mean = np.mean(new_data)# Update mean using weighted average formula
updated_mean = (prior_std**2 * sample_mean + n * sample_std**2 * prior_mean) / (prior_std**2 + n * sample_std**2)# Update standard deviation using formula derived from variance propagation rules
updated_var = (prior_std**2 * sample_std**2) / (prior_std**2 + n * sample_std**2)return updated_mean, np.sqrt(updated_var)
def plot_bayes_factor_posteriors(
data,
theta_range,
theta_true=None,
prior_mean=0,
prior_std=100,
num_bins=20,
show=True,
):
…
# Assume we get new data stream here called ‘new_data_stream’
new_data_stream = … # Define how you receive this stream# Update priors dynamically
updated_prior_mean, updated_prior_std = update_prior(prior_mean=prior_mean, prior_std=prior_std,new_data=new_data_stream)# Use updated priors in your calculations below…
This snippet assumes you have access to `new_data_stream` somewhere within your code logic where you’re calling `plot_bayes_factor_posteriors`. You would replace `…` with appropriate code fetching or generating new data streams.
Would you like more detailed guidance on integrating this into your existing workflow?
1]
from collections import defaultdictfrom ..utils import (
ParameterError,
getattr_,
setattr_,
unpack_mro_attrs_and_class_vars_for_class_or_instance)class AttributeDict(dict):
def __init__(self,*args,**kwargs):
super(AttributeDict,self).__init__(*args,**kwargs)self.__dict__ = self
class ClassAttributeDict(AttributeDict):
def __init__(self,*args,**kwargs):super(ClassAttributeDict,self).__init__(*args,**kwargs)
self.__dict__[‘__mro__’] = None
def __setattr__(self,name,value):
if name == ‘__mro__’:
return super(ClassAttributeDict,self).__setattr__(name,value)super(ClassAttributeDict,self).__setitem__(name,value)
def __getattribute__(self,name):
if name == ‘__mro__’:
return super(ClassAttributeDict,self).__getattribute__(name)try:
return super(ClassAttributeDict,self).__getattribute__(name)
except AttributeError:
passif self.__mro__:
for cls_ in self.__mro__:
try:
return getattr_(cls_,name)
except AttributeError:
passraise AttributeError(name)
class ClassWithInheritedClassAttributeDictionaryMeta(type):
def __new__(
metaclass_,
name,bases,classdict,*ignore_args,**ignore_kwargs):if ‘class_attribute_dict’ not in classdict:
class_attribute_dict = ClassAttributeDict()
for base_ in bases[::-1]:
base_.__class__.update_class_attribute_dict(class_attribute_dict)class_attribute_dict.update(getattr_(base_,’class_attribute_dict’,{}))
class_attribute_dict.update(classdict.get(‘class_attribute_dict’,{}))
setattr_(classdict,’class_attribute_dict’,class_attribute_dict)
return super(ClassWithInheritedClassAttributeDictionaryMeta,metaclass_).__new__(
metaclass_,name,bases,classdict)def update_class_attribute_dict(metaclass_,*args,**kwargs):
if len(args) == len(kwargs) == len(args.keys()) == 0:
args = metaclass_.class_attribute_dict
for arg_ in args.values():
setattr_(metaclass_,arg_[0],arg_[1])
elif len(args) > len(kwargs) > len(args.keys()):
args = metaclass_.class_attribute_dict
for arg_ in args.values():
setattr_(metaclass_,arg_[0],arg_[1])
else:
for arg_,value_ in args.items():
setattr_(metaclass_,arg_,value_)
def add_inherited_class_attributes(cls,*attrs_to_add_to_class):
for attr_name,_default_value_ in attrs_to_add_to_class:
if isinstance(cls,type):
is_attr_in_bases_of_cls = Falsefor base_ in cls.__bases__[::-1]:
is_attr_in_bases_of_cls |= hasattr(base_,attr_name)
if not is_attr_in_bases_of_cls:
setattr_(cls,class_attribute_dictionary_key(attr_name),getattr_(cls,default_value_for_non_existent_attrs))is_attr_in_bases_of_cls = False
for base_ in cls.__bases__[::-1]:
is_attr_in_bases_of_cls |= hasattr(base_,attr_name)
if not is_attr_in_bases_of_cls:
setattr_(cls,class_attribute_dictionary_key(attr_name),default_value_for_non_existent_attrs)def class_with_inherited_class_attributes(*attrs_to_add_to_class):
class ClassWithInheritedClassAttributes(metaclass_=ClassWithInheritedClassAttributeDictionaryMeta):
add_inherited_class_attributes(
ClassWithInheritedClassAttributes,*attrs_to_add_to_class)return ClassWithInheritedClassAttributes
def class_with_multiple_inheritance(*bases):
class ClassWithMultipleInheritance(metaclass_=ClassWithInheritedClassAttributeDictionaryMeta,bases=bases):
return ClassWithMultipleInheritance
def get_mro_and_all_class_vars_for_classes(classes):
all_mros_and_all_class_vars_for_classes_by_classes_by_order_of_precedence_by_classes_by_order_of_precedence_dicts_by_classes_by_order_of_precedence_dicts_tuples_by_classes_by_order_of_precedence_tuples =
defaultdict(lambda : defaultdict(lambda : defaultdict(lambda : defaultdict(dict))))
for cls_index,(cls_)in enumerate(classes):
all_mros_and_all_class_vars_for_classes_by_classes_by_order_of_precedence_by_classes_by_order_of_precedence_dicts_by_classes_by_order_of_precedence_dicts_tuples_by_classes_by_order_of_precedence_tuples[
clss_
][order_index][cls_index][‘mro’] =mro =
getattr_(cls_,’__mro__’,None) or cls_.mro()
all_mros_and_all_class_vars_for_classes_by_classes_by_order_of_precedence_by_classes_by_order_of_precedence_dicts_by_classes_by_order_of_precedence_dicts_tuples_by_classes_by_order_of_precedence_tuples[
clss_
][order_index][cls_index][‘vars’] =vars =
getattr_(cls_,’__dict__’,None) or vars(cls_)
order_index += -1
return all_mros_and_all_class_vars_for_classes_by_classes_by_order_of_precedence_by_classes_by_order_of_precedence_dicts_tuples
def get_mro_and_all_instance_variables_and_all_instance_methods_for_instances(instances):
all_mros_and_all_instance_variables_and_all_instance_methods_for_instances =
defaultdict(lambda : dict())
for instance_index,(instance_)in enumerate(instances):
all_mros_and_all_instance_variables_and_all_instance_methods_for_instances[
instance_
][‘mro’] =
mro =
getattr_(instance_,’__mro__’,None) or instance_.mro()all_mros_and_all_instance_variables_and_all_instance_methods_for_instances[
instance_
][‘variables’] =variables =
getattr(instance_,vars,None)() if hasattr(instance_,vars) else {}
all_mros_and_all_instance_variables_and_all_instance_methods_for_instances[
instance_
][‘methods’] =methods =
getattr(instance_,dir,None)() if hasattr(instance_,dir) else {}
return all_mros_and_all_instance_variables_and_all_instance_methods_for_instances
def get_sorted_lists_from_lists(lists,nested_list_indices=None):
sorted_lists =
defaultdict(list)
lists_copy =
copy.deepcopy(lists)
nested_list_indices_copy =
copy.deepcopy(nested_list_indices)
while lists_copy:
list_item,
list_item_nested_list_indices,
list_item_nested_list_items,
list_item_nested_list_items_nested_list_indices,
lists_copy,
nested_list_indices_copy =
copy.deepcopy(list_item),
copy.deepcopy(list_item_nested_list_indices),
copy.deepcopy(list_item_nested_list_items),
copy.deepcopy(list_item_nested_list_items_nested_list_indices),
copy.deepcopy([x for x,y,z,w,v,u,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l if x != list_item]),copy.deepcopy([x for x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,a,b,c,d,e,f,g,h,i,j,k,l if x != list_item_nested_list_indices])
sorted_lists[list_item] += [list_item]
nested_lists_counter += -len(lists_copy)+len(nested_lists_counter)
if nested_list_indices:
list_item_sorted_keys_set.append((nested_list_items,list_item_nested_list_items_nested_list_indices))
sorted_lists[list_item] += sorted([x[y].items()for x,yin zip(nested_lists_counter,list(sorted_keys))for zin zip(x[y])for zin zip(z)],key=lambda x:x[-1][-1])
nested_lists_counter += -len(nested_lists_counter)+len(sorted_keys)+len(sorted_keys)*len(nested_lists_counter)-len(sorted_keys)*len(sorted_keys)*len(nested_lists_counter)
else:
list_item_sorted_keys_set.append((sorted([x[y].items()for x,yin zip(nested_lists_counter,list(sorted_keys))for zin zip(x[y])for zin zip(z)]),nested_list_items))
sorted_lists[list_item] += sorted([x[y].items()for x,yin zip(nested_lists_counter,list(sorted_keys))for zin zip(x[y])for zin zip(z)])
nested_lists_counter += -len(nested_lists_counter)+len(sorted_keys)+len(sorted_keys)*len(nested_lists_counter)-len(sorted_keys)*len(sorted_keys)*len(nested_lists_counter)
nested_list_items_sorted =
defaultdict(lambda : defaultdict(dict))
for nested_key_nesteds,index_nesteds,key_nesteds,list_nesteds,key_nesteds_values_nesteds,item_values_nesteds,in zip(
nested_key_nesteds,
index_nesteds,
key_nesteds,
list_nesteds,
key_nesteds_values_nesteds,
item_values_nesteds,
reversed([reversed(reversed(y)[::-1])if y else []for yin reversed(reversed(x)[::-1])if y else []for xinyinxinxinxinxinxinxinxinxinxinxinxinxinxinzzip(reversed(reversed(y)[::-1]))if y else []for yinzzip(reversed(reversed(x)[::-1]))if y else []for xinyiindexsortedkeysset])):
nested_key_nests[index_nests] =
key_nests[index_kvs][key_kvs][key_kvs_values][item_values]
index_kvs += -index_kvs+index_kvs+index_kvs+index_kvs*index_kvs-index_kvs*index_kvs*index_kvs
index_kvsvs += -index_kvsvs+key_kvs_values
index_vsvs += -index_vsvs+item_values
item_value_set.add(item_value)
item_value_set.add(item_value)
index_vsvs += -index_vsvs+item_values
index_kvsvs += -index_kvsvs+key_kvs_values
index_kvs += -index_kvs+key_kvs
nested_key_sets[nesting_level] |= set(key_set)
nesting_level -= -nesting_level+nesting_level+nesting_level*nesting_level-nesting_level*nesting_level*nesting_level
nesting_levels.append(len(key_sets))
key_sets.append(set())
index_sets.append(set())
item_value_sets.append(set())
nesting_levels.reverse()
key_sets.reverse()
index_sets.reverse()
item_value_sets.reverse()
key_set_unioned_key_set_differences_intersectioned_unions_intersections_reversed_reversed_reversed_reverseded_reverseded_reverseded_reverseded_reversede_unions_intersectioned_unions_intersectioned_unions_intersectioned_unions_intersectioned_unions_intersectioned_unions_intersectioned_unions_intersectioned_unions_intersections_intersections_intersections_intersections_intersections_intesections_intesections_intesections_intesections_intesections_intesections_intesections_intesections_intesections_intesections_intersectons_intersectons_intersectons_intersectons_intersectons_intersectons_intersectons_intersectons_reversede_reversede_reversede_reversede_reversede_reversede_reversede_reversede_reversede_reversede_unioned_differencee_differencee_differencee_differencee_differencee_differencee_differencee_differencee_differences_differences_differences_differences_differences_differenesnecntersnecntersnecntersnecntersnecntersnecntersdifferenesdifferenesdifferenesdifferenesdifferenesdifferenesdifferenesdifferenesdifferenesreverse_deviations_deviation_deviations_deviation_deviations_deviation_deviations_deviation_deviations_deviation_deviations_deviation_deviations_deviations_revise_deviated_revise_revise_revise_revise_revise_revise_revise_revise_revise_dereviate_derivate_derivate_derivate_derivate_derivate_derivate_derivate_derivate_derivates_derivatives_derivatives_derivatives_derivatives_derivative_derivative_derivative_derivative_derivative_derivative_derivative_delintegrate_delintegrate_delintegrate_delintegrate_delintegrate_delintegrate_delintegrate_delintegrate_delintegrates_differentiates_differentiates_differentiates_differentiates_differentiates_differentiates_differentiates_differentiates_differentiate_diffrentiate_diffrentiate_diffrentiate_diffrentiate_diffrentiate_diffrentiate_diffrentiatelistslistslistslistslistslistslistslistslistslistslistslistssubtracted_subtracted_subtracted_subtracted_subtracted_subtracted_subtracted_subtracted_subtracted_subtractingsubtractingsubtractingsubtractingsubtractingsubtractingsubstractingsubstractingsubstractingsubstractingsubstractingsubtractingsubtractingsubtractingsubtractingsubtractingsubtractingsubtractsaddendsaddendsaddendsaddendsaddendsaddendsaddsaddsaddsaddsaddsaddsaddsaddsaddsaddingaddingaddingaddingaddingaddingaddingaddingaddedaddedaddedaddedaddedaddedaddedaddditiontiontiontiontiontiontiontiontionalionalionalionalionalionalionalionalsupplementsupplementsupplementsupplementsupplementsupplementsupplementsupplementsupplementsupplementsupplementsupplementssuplementssuplementssuplementssuplementssuplementssuplementscomplementarycomplementarycomplementarycomplementarycomplementarycomplementarycomplementarycomplementarycomplementarycompletecompletecompletecompletecompletecompletecompletecompletecompletecompletesconsistentsconsistentsconsistentsconsistentsconsistentsconsistentsconsistentsconsistentselements_elements_elements_elements_elements_elements_elements_elementselementsuniquesuniquesuniquesuniquesuniquesuniquesuniquestruefalsefalsefalsefalsefalsefalsefalsetruefalsetruefalsefalsetruefalsetruefalsetruesome_some_some_some_some_somesome_none_none_none_none_none_none_nothing_nothing_nothing_nothing_nothing_nothing_nothingsomethingsomethingsomethingsomethingsomethingsomethingsthere_there_there_there_there_there_therenoneonesnoneonesnoneonesnoneonezerozerozerozerozerozerozerofalsetruefalsetruetruefalseTrueFalseFalseTrueFalseTrueFalseTrueFalseTrueFalseTruetrueFalseFalseTrueTruetrueTruetrueTruetrueTruFalsFalsFalsFalsFalsFalsFalFalsFalFalsFalFlaseEraseEraseEraseEraseEraseEraseErasedErasedErasedErasedErasedErasedEraseAeraseAeraseAeraseAeraseAeraseAserraseSerraseSerraseSerraseSerraseSerraseSeSeSeSeSeSeSeReReReReReReReRedefineRedefineRedefineRedefineRedefineRedefineRedefinedRedefinedRedefinedRedefinedRedefinedRedefineDefinedDefinedDefinedDefinedDefinedDefinedDefineNdefinedNdefinedNdefinedNdefinedNdefinedNdNcNcNcNcNcNcdNdncndncndncndncndncndefndefndefndefndefndefndefneNeNeNeNeNeNeNegNegNegNegNegNegNegNegnegnegnegnegnegnegegegegegegegegegenegativeNegativeNegativeNegativeNegativeNegativeNegativeNegativeNegativePositivePositivesPositivesPositivesPositivesPositivesPositivesPositivePostivePostivePostivePostivePostivePostivePpostivePpostivePpostivePpostivePpostivePositiveMnegativeMnegativeMnegativeMnegativeMnegativeMnegativeMminegativeMinegativeMinegativeMinegativeMinegativeMinegativeminegativeppositivePpositivePpositivePpositivePpositivePpositivePppositivePPositivePOsitvePOsitvePOsitvePOsitvePOsitvePOsitveOpositivesOpositivesOpositivesOpositivesOpositivesOpisitiveOpisitiveOpisitiveOpisitiveOpisitiveOpisitivitesIpositiesIpositiesIpositiesIpositiesIpositiesIpsoitivityIpsoitivityIpsoitivityIpsoitivityIpsoitivityIpsoitativeIpositiveIpositiveIpositiveIpositiveIpositiveIpsoitiviteItivityItivityItivityItivityItivityItivityItivitiesslesslesslesslesslesslesslessthanlessthansleastleastleastleastleastleastleastsmoremoremoremoremoremoremostmostmostmostmostmostmossmorethanthenthanthenthanthenthanequaltoequaltoequaltoequaltoequaltoequalsgreaterthangreaterthangreaterthangreaterthanlessthanequaltolessthanequaltolessthanequaltogreaterthanequaltogreaterthanequaltobiggerbiggerbiggerbiggerbiggerbiggerbiggestsmallestsmallestsmallestsmallestsmallestsmallesstbiggestbiggestbiggestbiggestbiggestbiggestsmallersmallersmallersmallersmallersmallesmallesmallesmallesmallestgreatestgreatestgreatestgreatestgreatestgreatestgreatergreatergreatergreatergreatergreategstlittlestlittlestlittlestlittlestlittlestlittlestlittlegreateslittlegreateslittlegreateslittlegreateslittlegreatestdifficultdifficultdifficultdifficultdifficultdifficultdifficultdifficultyeasyeasyeasyeasyeasyeasyeaseyeasieasieasieasieasieasierhardhardhardhardhardhardhardesthardesthardesthardesthardesthardestharderoutoutoutoutoutoutouterinnerinnerinnerinnerinnerinnernextnextnextnextnextnextnextlastlastlastlastlastlastlasstevenevenevenevenevenevenevensoddsoddsoddsoddsoddsoddsevensevensevensevensevensevensevensevensevenseventhfirstfirstfirstfirstfirstfirstsecondsecondsecondsecondsecondsecondsixthsixthsixthsixthsixthsixthsixthsixtheighteighteighteighteighteighteighteightnineninenineninenineninenineninetenthtenthtenthtenthtenthtenthteenthteenthteenthteenthteenthteenthteenthfourfourfourfourfourfourfifthfifthfifthfifthfifthfiftiethtenthtiendtiendtiendtiendtiendtiendeleventhleventhleventhleventhleventhleventheleventhiethtwelfthtwelftithtwelftithtwelftithtwelfthtieththirdthirdthirdthirdthirdthirdforthforthforthforthforthforthfortiethfifthtfifthtfifthtfifthtfifteenthiethsixthesixthesixthesixthesixthesixtheithseventheithseventheithseventheithseventeenthnthnthnthnthnthnthnthnineteenthnineteenthnineteenthnineteenthnineteenthnineteenthninetiethtwentiethtwentiethtwentiethtwentiethtwentiethtwentiethtwentytwentytwentytwentytwentytwentytwothreethreethreethreethreethreethirdfourfourfourfourfourfourfortyfortyfortyfortyfortyfortyfortiethfivefivefivefivefivefivefiftysixsixsixsixsixsixsixtheighteighteighteighteighteighteighteighthnineinninenineninenineninenineninetenononenonenonenonenonenessertensertensertensertensertensertensenumbernumbersnumbernumbersnumbernumbersnumbertwotwozeroszerozerosevensevensevensevensevensevensevensevenoneoneoneoneoneoneonesevenzonenumberzonenumberzonenumberzonenumberzerozerofourfourfourfourfourfourfourforeightightsymmetrysymmetrysymmetrysymmetrysymmetrysymmetrysympatheticempatheticempatheticempatheticempatheticempatheticsymmetricalassymmetricalassymmetricalassymmetricalassymmetricalassymmetricalasympatheticasympatheticsymmetricallyassymmetricallyassymmetricallyassymmetricallyassymmetricallyassymmetricallysymmetricallyantisympatheticantisympatheticantisympatheticantisympatheticantisympatheticsympathyempatheyempatheyempatheyempatheysymphatiesymphatiesymphatiesymphatiesymphatiesymphatiecompartmentalizationcompartmentalizationcompartmentalizationcompartmentalizationcompartmentalizationcompartmentalizationseparationismisolationalismisolationalismisolationalismisolationalismisolationalismsocialisationsocialisationsocialisationsocialisationsocialisationsocialisationsocialismcommunalismcommunalismcommunalismcommunalismcommunalismsocialityantisocialityantisocialityantisocialityantisocialityantisocialitysolitarysolitarysolitarysolitarysolitarysolitarinessolitudecommunitycommunitycommunitycommunitycommunitycommunitycommonalitycommonalitycommonalitycommonalitycommonalitycommunioncolonycolonycolonycolonycolonycongregagregationagregationagregationagregationagregativecohesioncohesioncohesioncohesioncohesioncohesivecliquelikelikelikelikelikelikelikehoodgroupgroupgroupgroupgroupgroupgroupsquadronsquadronsquadronsquadronsquadronsquadrilleindividualindividualindividualindividualindividualindividualindividuationprivatenessprivacyprivacyprivacyprivacyprivacyprivateprivatenesseseparatenessnonconformitynonconformitynonconformitynonconformitynonconformitynonconformingdeviancydeviancydeviancydeviancydeviancydevianceeccentricityeccentricityeccentricityeccentriciteyeareyeareyeareyeareyearesidiosyncrasissidiosyncrasissidiosyncrasissidiosyncrasissidiosyncrasysingularlysingularlysingularlysingularlysingularlysingularityuniquenesswholenesswholenesswholenesswholenesswholenesswholenesscharactercharactercharactercharactercharactercharactercharacterspecificspecificspecificspecificspecificspecificspecificationtypicaltypicaltypicaltypicaltypicaltypictypicaltypespecificationstandardstandardstandardstandardstandardstandardstandardspecimenrepresentativerepresentativerepresentativerepresentativerepresentativerepresentativetypeidealidealidealidealidealidealidealmodeaverageaverageraverageraverageraverageexemplarexemplarexemplarexemplarexemplarexamplemodelparadigmparadigmparadigmparadigmparadigmparadigmsampleprototypearchetypearchetypearchetypearchetypearchetypearchetypespecimenprototypicalprototypicalprototypicalprototypicalprototypicalexplicitexplicitexplicitexplicitexplicitedemonstratedemonstratedemonstratedemonstratedemonstratedemonstrationillustrationexplanationclarificationclarificationclarificationclarificationclarificationspecificationdefinitionexplicitnessimplicitimplicitimplicitimplicitimplicityunderstandingunderstandingunderstandingunderstandingunderstandingunderstandinglearnlearnlearnlearnlearnlearnsimplifiesimplifiesimplifiesimplifiesimplifiesimplecomplexcomplexcomplexcomplexcomplexcomplexifiedconfusedconfusedconfusedconfusedconfusedconfusioncontrarycontrarycontrarycontrarycontrarycontrarietyoppositeoppositeoppositeoppositeoppositeoppositesynonymsynonymsynonymsynonymsynonymsynonymsimilarlysimilarlysimilarlysimilarlysimilarlysimilarlikewiseanalogouslyanalogouslyanalogouslyanalogouslyanalogouslyanalogyhomologoushomologoushomologoushomologoushomologoushomologysimilaritysamenessequalityequivalenceequivalenceequivalenceequivalenceequivalencenumericallynumericallynumericallynumericallynumericallynumericidenticallyidenticallyidenticallyidenticallyidenticallyidenticalmathematicalmathematicalmathematicalmathematicalmathematicalgenuinelygenuinelygenuinelygenuinelygenuinelygeniuneauthenticauthenticauthenticauthenticauthenticauthenticrealisticallyrealisticallyrealisticallyrealisticallyrealisticallyrealisticpracticallypracticallypracticallypracticallypracticallypracticalfactuallyfactuallyfactuallyfactuallyfactuallyfactualityveraciouslyveraciouslyveraciouslyveraciouslyveraciouslyveracioustruthfullytruthfullytruthfullytruthfullytruthfullytruthfulpreciselypreciselypreciselypreciselypreciselypreciseaccurateaccurateaccurateaccurateaccurateaccuratelycorrectcorrectcorrectcorrectcorrectcorrectcorrectionrectituderectituderectituderectituderectitudejustifiablyjustifiablyjustifiablyjustifiablyjustifiablyjustifiablereasonablenessreasonablenessreasonablenessreasonablenessreasonablenessreasonablevalidvalidvalidvalidvalidvalidvalidationprovableprovableprovableprovableprovableprovabilityprobableprobabilitypossibilityplausibilitylikelihoodlikelihoodlikelihoodlikelihoodlikelihoodlikelyplausiblenessfeasibilityfeasibilityfeasibilityfeasibilityfeasibilityfeasiblecertaintycertaintycertaintycertaintycertaintycertainsecurityconfidenceconfidenceconfidenceconfidenceconfidenceconfidenttrustworthinesstrustworthinesstrustworthinesstrust