sentence1 stringlengths 0 100k | sentence2 stringlengths 0 100k | score float64 0 5 |
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these subproblems are not , however , independent . | it is similar to divide and conquer , however is differentiated as its subproblems are not independent . | 4 |
the key to dynamic programming is to find the structure of optimal solutions . | in general , dynamic programming is used on optimisation problems , where the most efficient solution is needed . | 4 |
when a document is represented as a vector , each dimension corresponds to a separate term . | each dimensions corresponds to a separate terms . | 3 |
bayes theorem is a mathematical formula used to calculate conditional probabilities . | bayes ' theorem relates the conditional and marginal probabilities of two random events . | 4 |
lucky joe likes to predict the colour of the ball he selects and he is 80 % accurate . | joe records all of his results and about 0.5 % of the time he accidently records the wrong results . | 1 |
thus , the program is the best plan for action that is produced . | the other method is the top down approach which is a method that combines memorization and recursion . | 0 |
it is usually used to calculate posterior probabilities given observations . | it is usually be used to compute posterior probabilities given observations . | 5 |
the methodology takes much less time rather than naive methods . | the method takes much less time than naive methods . | 5 |
the methodology takes much less time rather than naive methods . | this is a much quicker method than other more naive methods . | 5 |
the definition of term is dependent on the application . | the definition of term depends on the application . | 5 |
this means that inheritance is used when types have common factors and these would be put into the superclass . | it is similar to divide and conquer , however is differentiated as its subproblems are not independent . | 0 |
characterise structure of an optimal solution . | use these optimal solutions to construct an optimal solution for the original problem . | 2 |
the theorem is often used when we have observations and wish to compute posterior probabilities . | it is usually used to calculate posterior probabilities given observations . | 3 |
occasionally it is advantageous to differentiate between these uses , as it is not necessarily noticeable from context . | it also provides a way to generalize du to the " is a " relationship between classes . | 0 |
construct an optimal solution from computed values . | define value of optimal solution recursively . | 4 |
occasionally it is advantageous to differentiate between these uses , as it is not necessarily noticeable from context . | it is similar to divide and conquer , however is differentiated as its subproblems are not independent . | 0 |
when a document is represented as a vector , each dimension corresponds to a separate term . | the basic idea is to represent each document as a vector of certain weighted word frequencies . | 2 |
when a document is represented as a vector , each dimension corresponds to a separate term . | each dimension corresponds to a separate term . | 3 |
mathematicians use the word to describe a set of rules which anyone can follow to solve a problem . | however an object cannot be cast to a class which is no relative of it . | 0 |
whilst bayesians describe probabilities in terms of beliefs and degrees of uncertainty . | at the same time , bayesians describe probabilities in terms of beliefs and degrees of uncertainty . | 5 |
it is used in information filtering , information retrieval , indexing and relevancy rankings . | it is used in information filtering , indexing , relevancy rankings and information retrieval . | 5 |
in probability theory , bayes ' theorem relates the conditional and marginal probabilities of two random events . | bayes ' theorem is useful in evaluating the result of drug tests . | 1 |
outbound , links from your page to others . | dangling , links to a page which has no links to others . | 1 |
vector space representation results in the loss of the order which the terms are in the document . | in vector space model , the documents from which the information is to be retrieved are represented as vectors . | 1 |
in computer science ; dynamic programming is a way of solving problems consist of overlapping subproblems and optimal substructure . | however , the key in dynamic programming is to determine the structure of optimal solutions . | 3 |
if a term appears in the document , the terms value in the vector is non-zero . | vector space representation results in the loss of the order which the terms are in the document . | 1 |
in vector space model , the documents from which the information is to be retrieved are represented as vectors . | finally , the order in which the terms appear in the document is lost in the vector space representation . | 1 |
for instance , a finalized schedule of events at an exhibition is sometimes called a program . | the typical example could be of a finalized schedule of events at an exhibition . | 3 |
several different ways of computing these values , also known as ( term ) weights , have been developed . | several different ways of computing these values , additionally known as ( term ) weights , have been developed . | 5 |
if a term exists in a document , its value in the vector is not equal to zero . | if a term appears in the document then its value in the vector is non-zero . | 5 |
a hyperlink to a page counts as a vote of support . | a link to a page is seen as a vote of support . | 5 |
this means that inheritance is used when types have common factors and these would be put into the superclass . | the main problem is divided into sub problems which are solved and stored for future use . | 0 |
most of these languages provide an β extend β keyword , which is used to subclass another . | for example , a program could exist to model different forms of transport . | 0 |
for instance , a finalized schedule of events at an exhibition is sometimes called a program . | for example , a schedule of events at an exhibition is sometimes called a programme . | 5 |
the value of a vector is non-zero if a term occurs in the document . | each document is a vector where each word is a dimension . | 1 |
the theorem is often used when we have observations and wish to compute posterior probabilities . | it is often used to calculate posterior probabilities given observations . | 4 |
other possible uses for vector space models are indexing and also to rank the relevancy of differing documents . | in this classic model the term specific weights in the document vectors are products of local and global parameters . | 1 |
the correct answer can be computed using bayes ' theorem . | bayes ' theorem is useful in evaluating the result of drug tests . | 1 |
β’ p ( b | a ) is the conditional probability of b given a . | p ( a | b ) is the conditional probability of a , given b . | 3 |
since the pagerank is the most important algorithms which is used in the google engine . | the pagerank is a recursive algorithm used by google to determine which webpages are more important than others . | 3 |
nevertheless , the patent is assigned to the university of stanford and not to google . | however , the patent is assigned to stanford university and not to google . | 5 |
this means that inheritance is used when types have common factors and these would be put into the superclass . | it is therefore used to create relationships between one object and another . | 0 |
in the vector space model a document is represented as a vector . | a document is represented as a vector , and each dimension corresponds to a separate term . | 3 |
p ( b ) is the prior or marginal probability of b , and acts to normalise the probability . | p ( b ) ( a.k.a. the normalizing constant ) is the prior or marginal probability of b . | 4 |
this can be useful when the number of times a word appears is not considered important . | the easiest way to look at inheritance is as an β β¦ is a kind of β relationship . | 0 |
in probability theory , bayes ' theorem relates the conditional and marginal probabilities of two random events . | bayes ' theorem relates the conditional and marginal probabilities of two random events . | 4 |
the definition of term depends on the application . | the definition of a term depends on the application . | 5 |
break up the problem different smaller subproblems . | a problem with overlapping subproblems means that the same subproblems may be used to solve many different larger problems . | 2 |
inheritance is a method of forming new classes using predefined classes . | inheritance in object oriented programming is a way to form new classes using classes that have already been defined . | 5 |
so the same rule applies with keywords and indeed longer phrases . | single words , keywords and occasionally longer phrases are used for terms . | 3 |
there is also conditional probability which is usually interested in the way variables relate to each other . | the pagerank is a recursive algorithm used by google to determine which webpages are more important than others . | 0 |
thus , the program is the best plan for action that is produced . | thus , the " program " is the optimal plan for action that is produced . | 5 |
inheritance is a basic concept in object oriented programming . | inheritance in object oriented programming is a way to form new classes using classes that have already been defined . | 3 |
programming , in this sense , means finding an acceptable plan of action . | programming , in this sense , means finding an acceptable plan , an algorithm . | 4 |
the vector space model has some limitations : 1 . | the vector space model has several disadvantages . | 4 |
using the vector space model for information retrieval models all pages and queries as high-dimensional sparse vectors . | a possible use for a vector space model is for retrieval and filtering of information . | 4 |
one of the most famous schemes is tf-idf weighting . | one of the best known schemes is tf-idf ( term frequency-inverse document frequency ) weighting . | 4 |
a document is represented as a vector , with each dimension corresponding to a separate term . | a document has representation as a vector . | 3 |
vector space representation results in the loss of the order which the terms are in the document . | the order in which terms appear in the document is lost in a vector space representation . | 4 |
p ( a ) is the probability of the student being a girl ( which is 2 / 5 ) . | what is the probability this student is a girl ? | 2 |
the basic idea is to represent each document as a vector of certain weighted word frequencies . | if a term appears in the document , the terms value in the vector is non-zero . | 1 |
therefore , the " program " is the optimal plan for action that is produced . | the " program " is the optimal plan for action that is produced . | 5 |
this is highly used in dynamic programming . | there are four steps in dynamic programming : 1 . | 2 |
other ways of computing these values , or weights , have been developed . | many different methods of calculating these values , sometimes known as ( term ) weights , have been developed . | 4 |
it is usually be used to compute posterior probabilities given observations . | it is used to compute posterior probabilities given observations . | 4 |
in probability theory , bayes ' theorem relates the conditional and marginal probabilities of two random events . | bayes theorem is a mathematical formula used to calculate conditional probabilities . | 3 |
p ( b ) is the prior or marginal probability of b , and acts as a normalizing constant . | p ( b | a ) is the conditional probability of b given a . | 1 |
a website β s page rank , is how β important β it is on the web . | a variation of the pagerank method bases the importance of a webpage on how many visits the page gets . | 3 |
in computer science ; dynamic programming is a way of solving problems consist of overlapping subproblems and optimal substructure . | dynamic programming is a very powerful mathematical technique , often utilised in programming , for solving optimization problems . | 4 |
the most popular is tf-idf weighting . | one of the most famous schemes is tf-idf weighting . | 4 |
this method is used in the google toolbar , which reports back actual site visits to google . | in order to prevent spamming , google releases little information on the way in which a pagerank is calculated . | 1 |
to achieve this , the programmer has to note generalisations and similarities about various aspects of the program . | mathematicians use the word to describe a set of rules which anyone can follow to solve a problem . | 0 |
construct an optimal solution from computed values . | the last point would be to construct an optimal solution from the computed values . | 4 |
if the term doesn β t occur within the document , the value in the vector is zero . | if a term appears in the document , the terms value in the vector is non-zero . | 3 |
this is a much quicker method than other more naive methods . | the method takes much less time than naive methods . | 4 |
p ( b ) is the prior or marginal probability of b , and acts to normalise the probability . | p ( a ) , or the probability that the student is a girl regardless of any other information . | 1 |
inheritance in object oriented programming is a way to form new classes using classes that have already been defined . | inheritance in object oriented programming is where a new class is formed using classes which have allready been defined . | 4 |
they also inherit the attributes and methods of its superclass . | the new classes are called derived classes and they inherit the behaviours and attributes of the base classes . | 3 |
a term which occurs in the document has a value in the vector of non-zero . | a document is represented as a vector , with each dimension corresponding to a separate term . | 2 |
if a term appears in the document , the terms value in the vector is non-zero . | a term which occurs in the document has a value in the vector of non-zero . | 5 |
the order in which terms appear in the document is lost in a vector space representation . | in vector space model , the documents from which the information is to be retrieved are represented as vectors . | 1 |
the vector space model has some limitations : 1 . | limitation : there is some limitation of vector space model . | 5 |
however , the vector space model has limitations . | the limitations of the vector space model are thus . | 4 |
the method can be abused when people deliberately link to sites in order to raise a site 's pagerank . | mathematicians use the word to describe a set of rules which anyone can follow to solve a problem . | 0 |
when a document is represented as a vector , each dimension corresponds to a separate term . | to explain further vector space models , basically a document is characterized by a vector . | 2 |
the basic idea is to represent each document as a vector of certain weighted word frequencies . | a term which occurs in the document has a value in the vector of non-zero . | 1 |
programming , in this sense , means finding an acceptable plan of action . | programming means finding a plan of action . | 4 |
google β s payoff is that it gets to track the behaviour of actual users . | after this , it is using this to pick the best overall path . | 0 |
this means that inheritance is used when types have common factors and these would be put into the superclass . | there is also conditional probability which is usually interested in the way variables relate to each other . | 0 |
bayes β theorem was names after rev thomas bayes and is a method used in probability theory . | as a formal theorem bayes theorem is valid in all common interpretations of probability . | 3 |
dynamic programming solves problems by combining the solutions of subproblems . | the key to dynamic programming is to find the structure of optimal solutions . | 4 |
terms are basically the words or any indexing unit used to identify the contents of a text . | in this classic model the term specific weights in the document vectors are products of local and global parameters . | 2 |
the vector space model are the documents which are represented as β bags of words β . | in vector space model , the documents from which the information is to be retrieved are represented as vectors . | 2 |
thus , the " program " is the optimal plan of action that is being produced . | the easiest way to look at inheritance is as an β β¦ is a kind of β relationship . | 0 |
to achieve this , the programmer has to note generalisations and similarities about various aspects of the program . | the advantage being the less time consumption in comparison to other amateur methods . | 0 |
subclasses are said to extend or specialise their superclasses . | subclasses are said to β extend β superclasses . | 4 |
it is also called the posterior probability because it is derived from or depends upon the specified value of b . | it is also called the subsequent probability because it is derived from or depends upon the specified value of b . | 3 |
this can be useful when the number of times a word appears is not considered important . | it is mainly used to calculate the probability of one event β s outcome given that a previous event happened . | 0 |
java allows object inheritance . | inheritance is one of the basic concepts of object oriented programming . | 1 |
mathematicians use the word to describe a set of rules which anyone can follow to solve a problem . | instead , a new object is made to inherit properties of objects which already exist . | 0 |
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