ori_index
int64
0
9.93k
dataset
stringclasses
7 values
split
stringclasses
3 values
sentence1
stringlengths
3
416
sentence2
stringlengths
7
444
score
float64
0
5
text_sim
float64
0
1
fuzz_sim
float64
0.05
1
scaled_score
float64
0
1
508
sts16
test
• p ( a | b ) is the conditional probability of a , given b .
• p ( b | a ) is the conditional probability of b given a .
3
0.93
0.92
0.6
509
sts16
test
the differing application has a direct influence on what the definition of the term means .
the way that a ' term ' is defined depends on the application .
5
0.3
0.43
1
510
sts16
test
thus , the " program " is the optimal plan of action that is being produced .
thus , the " program " is the optimal plan for action that is produced .
5
0.8
0.94
1
511
sts16
test
thus , the " program " is the optimal plan for action that is produced .
therefore , the " program " is the optimal plan for action that is produced .
5
0.86
0.94
1
512
sts16
test
one of the best known schemes is tf-idf weighting ( see the example below ) .
one of the best known methods is called tf-idf weighting .
4
0.53
0.7
0.8
513
sts16
test
it is " previous " in the sense that it does not take into account any information about b .
it does not take into account any information about b and therefore is considered “ prior ” .
3
0.5
0.59
0.6
514
sts16
test
the algebraic model for representing text documents and objects as vectors of identifiers is called the vector space model .
a possible use for a vector space model is for retrieval and filtering of information .
1
0.33
0.42
0.2
515
sts16
test
secondly to define the value of the optimal solution recursively .
generalise the structure of an optimal solution 2 .
1
0.36
0.62
0.2
516
sts16
test
there are two main approaches for dynamic programming .
there are four steps in dynamic programming : 1 .
1
0.36
0.71
0.2
517
sts16
test
p ( a ) , or the probability that the student is a girl regardless of any other information .
it is mainly used to calculate the probability of one event ’ s outcome given that a previous event happened .
1
0.23
0.47
0.2
518
sts16
test
for instance , a events schedule at an exhibition is sometimes called a program .
for instance , a finalized schedule of events at an exhibition is sometimes called a program .
4
0.88
0.87
0.8
519
sts16
test
this can be useful when the number of times a word appears is not considered important .
one of the most important uses of page rank is its meaning to advertising .
0
0.19
0.45
0
520
sts16
test
define value of optimal solution recursively .
characterise structure of an optimal solution .
4
0.4
0.6
0.8
521
sts16
test
it was first used in the smart information retrieval system .
it is used in information retrieval and was first used in the smart information retrieval system .
4
0.85
0.77
0.8
522
sts16
test
in vector space model , the documents from which the information is to be retrieved are represented as vectors .
the vector space model has several disadvantages .
1
0.23
0.47
0.2
523
sts16
test
a term which occurs in the document has a value in the vector of non-zero .
the order in which the terms appear in the document is lost in the vector space representation .
1
0.3
0.62
0.2
524
sts16
test
vector space representation results in the loss of the order which the terms are in the document .
in the vector space model a document is represented as a vector .
1
0.32
0.45
0.2
525
sts16
test
the easiest way to look at inheritance is as an “ … is a kind of ” relationship .
an example of this gain in efficiency is a path-finding problem .
0
0.2
0.42
0
526
sts16
test
if a term exists in a document , its value in the vector is not equal to zero .
a document is represented as a vector , with each dimension corresponding to a separate term .
2
0.33
0.46
0.4
527
sts16
test
vector space representation results in the loss of the order which the terms are in the document .
since the pagerank is the most important algorithms which is used in the google engine .
0
0.17
0.51
0
528
sts16
test
a document is represented as a vector , with each dimension corresponding to a separate term .
the basic idea is to represent each document as a vector of certain weighted word frequencies .
2
0.33
0.52
0.4
529
sts16
test
thus , the " program " is the optimal plan for action that is produced .
after this , it is using this to pick the best overall path .
0
0.18
0.44
0
530
sts16
test
a document is represented as a vector .
the vector space model are the documents which are represented as “ bags of words ” .
2
0.22
0.55
0.4
531
sts16
test
the value of a vector is non-zero if a term occurs in the document .
a term which occurs in the document has a value in the vector of non-zero .
4
0.73
0.45
0.8
532
sts16
test
a page that is linked to by many pages with high pagerank receives a high rank itself .
a link to a page is seen as a vote of support .
1
0.23
0.46
0.2
533
sts16
test
several different ways of computing these values , also known as ( term ) weights , have been developed .
other ways of computing these values , or weights , have been developed .
4
0.52
0.79
0.8
534
sts16
test
a document is represented as a vector , with each dimension corresponding to a separate term .
the value of a vector is non-zero if a term occurs in the document .
2
0.27
0.41
0.4
535
sts16
test
p ( b ) ( a.k.a. the normalizing constant ) is the prior or marginal probability of b .
p ( b ) is the prior or marginal probability of b , and acts as a normalizing constant .
5
0.7
0.58
1
536
sts16
test
the pagerank is computed iteratively , and it is found that the pagerank values converge fairly rapidly .
the pagerank depends on the pagerank rating and number of all pages that have links to it .
1
0.24
0.51
0.2
537
sts16
test
in general , we can solve a problem with optimal substructure using a three-step process : 1 .
in a word , we can solve a problem with optimal substructure using a three-step process .
5
0.78
0.92
1
538
sts16
test
in the vector space model a document is represented as a vector .
a possible use for a vector space model is for retrieval and filtering of information .
1
0.32
0.53
0.2
539
sts16
test
one of its uses is calculating posterior probabilities given observations .
it is usually used to calculate posterior probabilities given observations .
5
0.38
0.82
1
540
sts16
test
if a term appears in the document , the terms value in the vector is non-zero .
each item in the vector represents a different keyword .
1
0.26
0.46
0.2
541
sts16
test
finally , the order in which the terms appear in the document is lost in the vector space representation .
a term which occurs in the document has a value in the vector of non-zero .
1
0.27
0.61
0.2
542
sts16
test
several different ways of computing these values , also known as ( term ) weights , have been developed .
many different ways of calculating these values , also known as ( term ) weights , have been developed .
4
0.81
0.92
0.8
543
sts16
test
to derive the theorem , we begin with the definition of conditional probability .
in probability theory , the prior and conditional probabilities of two random events are related by bayes ' theorem .
2
0.27
0.46
0.4
544
sts16
test
the way that a ' term ' is defined depends on the application .
the definition of term is dependent on the application .
5
0.4
0.71
1
545
sts16
test
its first application was in the smart information retrieval system .
it was used in the first time in the smart information retrieval system .
5
0.64
0.79
1
546
sts16
test
it doesn 't take into account any information about b , so it is " prior " .
however an object cannot be cast to a class which is no relative of it .
0
0.1
0.46
0
547
sts16
test
following this , each web page is given a ranking of 0-10 according to its relevance to a search .
a variation of the pagerank method bases the importance of a webpage on how many visits the page gets .
1
0.13
0.43
0.2
548
sts16
test
thus , the program is the best plan for action that is produced .
thus , the " program " is the optimal plan of action that is being produced .
5
0.63
0.85
1
549
sts16
test
this means that inheritance is used when types have common factors and these would be put into the superclass .
they do not have to be written in a computer language .
0
0.1
0.4
0
550
sts16
test
these subproblems are not , however , independent .
it is similar to divide and conquer , however is differentiated as its subproblems are not independent .
4
0.39
0.5
0.8
551
sts16
test
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
0.21
0.55
0.8
552
sts16
test
when a document is represented as a vector , each dimension corresponds to a separate term .
each dimensions corresponds to a separate terms .
3
0.35
0.67
0.6
553
sts16
test
bayes theorem is a mathematical formula used to calculate conditional probabilities .
bayes ' theorem relates the conditional and marginal probabilities of two random events .
4
0.24
0.56
0.8
554
sts16
test
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
0.27
0.45
0.2
555
sts16
test
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
0.17
0.48
0
556
sts16
test
it is usually used to calculate posterior probabilities given observations .
it is usually be used to compute posterior probabilities given observations .
5
0.77
0.93
1
557
sts16
test
the methodology takes much less time rather than naive methods .
the method takes much less time than naive methods .
5
0.75
0.9
1
558
sts16
test
the methodology takes much less time rather than naive methods .
this is a much quicker method than other more naive methods .
5
0.28
0.61
1
559
sts16
test
the definition of term is dependent on the application .
the definition of term depends on the application .
5
0.7
0.93
1
560
sts16
test
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
0.09
0.43
0
561
sts16
test
characterise structure of an optimal solution .
use these optimal solutions to construct an optimal solution for the original problem .
2
0.25
0.51
0.4
562
sts16
test
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
0.35
0.53
0.6
563
sts16
test
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
0.19
0.42
0
564
sts16
test
construct an optimal solution from computed values .
define value of optimal solution recursively .
4
0.25
0.57
0.8
565
sts16
test
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
0.26
0.48
0
566
sts16
test
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
0.33
0.55
0.4
567
sts16
test
when a document is represented as a vector , each dimension corresponds to a separate term .
each dimension corresponds to a separate term .
3
0.53
0.68
0.6
568
sts16
test
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
0.18
0.47
0
569
sts16
test
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
0.65
0.9
1
570
sts16
test
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
1
0.72
1
571
sts16
test
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
0.29
0.47
0.2
572
sts16
test
outbound , links from your page to others .
dangling , links to a page which has no links to others .
1
0.43
0.58
0.2
573
sts16
test
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
0.27
0.51
0.2
574
sts16
test
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
0.26
0.52
0.6
575
sts16
test
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
0.27
0.51
0.2
576
sts16
test
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
0.31
0.55
0.2
577
sts16
test
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
0.43
0.64
0.6
578
sts16
test
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
0.9
0.94
1
579
sts16
test
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
0.55
0.8
1
580
sts16
test
a hyperlink to a page counts as a vote of support .
a link to a page is seen as a vote of support .
5
0.62
0.84
1
581
sts16
test
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
0.16
0.46
0
582
sts16
test
most of these languages provide an “ extend ” keyword , which is used to subclass another .
for example , a program could exist to model different forms of transport .
0
0.14
0.4
0
583
sts16
test
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
0.72
0.87
1
584
sts16
test
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
0.29
0.51
0.2
585
sts16
test
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
0.42
0.58
0.8
586
sts16
test
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
0.16
0.42
0.2
587
sts16
test
the correct answer can be computed using bayes ' theorem .
bayes ' theorem is useful in evaluating the result of drug tests .
1
0.26
0.44
0.2
588
sts16
test
• p ( b | a ) is the conditional probability of b given a .
p ( a | b ) is the conditional probability of a , given b .
3
0.87
0.9
0.6
589
sts16
test
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
0.33
0.51
0.6
590
sts16
test
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
0.8
0.8
1
591
sts16
test
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
0.14
0.46
0
592
sts16
test
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
0.37
0.5
0.6
593
sts16
test
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
0.6
0.57
0.8
594
sts16
test
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 “ … is a kind of ” relationship .
0
0.17
0.43
0
595
sts16
test
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
0.78
0.88
0.8
596
sts16
test
the definition of term depends on the application .
the definition of a term depends on the application .
5
0.89
0.98
1
597
sts16
test
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
0.23
0.49
0.4
598
sts16
test
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
0.3
0.58
1
599
sts16
test
so the same rule applies with keywords and indeed longer phrases .
single words , keywords and occasionally longer phrases are used for terms .
3
0.25
0.55
0.6
600
sts16
test
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
0.16
0.49
0
601
sts16
test
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
0.79
0.91
1
602
sts16
test
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
0.38
0.49
0.6
603
sts16
test
programming , in this sense , means finding an acceptable plan of action .
programming , in this sense , means finding an acceptable plan , an algorithm .
4
0.79
0.89
0.8
604
sts16
test
the vector space model has some limitations : 1 .
the vector space model has several disadvantages .
4
0.5
0.73
0.8
605
sts16
test
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
0.33
0.54
0.8
606
sts16
test
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
0.44
0.6
0.8
607
sts16
test
a document is represented as a vector , with each dimension corresponding to a separate term .
a document has representation as a vector .
3
0.29
0.54
0.6