Model parameters for topic "ID# 3"

Common phrases:

property; theorem; elements; proof; subset; axioms; proposition; natural numbers; fundamental theorem; mathematical logic;

Most typical words:

Most typical form	Probability		Most typical form	Probability		Most typical form	Probability
NOUNS
set	0.076837		logic	0.040475		theory	0.038928
mathematics	0.030154		elements	0.027395		proof	0.022474
axioms	0.02229		theorem	0.020314		number	0.017608
s	0.016572		statement	0.014757		subset	0.014674
proposition	0.013797		order	0.012497		property	0.010836
definition	0.0097934		example	0.0090633		system	0.0079971
concept	0.0077716		measure	0.0077203		bound	0.006769
notion	0.0065091		truth	0.0064735		mathematician	0.0064305
Cantor	0.0063779		closure	0.0062186		inference	0.0062094
P	0.0061284		class	0.0058648		rule	0.0057666
lattice	0.0057087		probability	0.0055285		Union	0.0055065
model	0.0053478		members	0.0053255		variables	0.0052048
operations	0.005183		construction	0.0050974		Riemann	0.0050397
lemma	0.0049827		term	0.0048812		domain	0.0048326
geometry	0.0045996		fact	0.0045995		Flauius	0.0044887
hypothesis	0.0042377		choice	0.0041876
VERBS
set	0.16024		proved	0.05424		ordered	0.038593
contains	0.037323		called	0.029283		See	0.027917
defined	0.024164		exist	0.024141		predicate	0.023573
said	0.02125		considered	0.018269		given	0.016868
does	0.015799		may	0.015517
ADJECTIVES
mathematical	0.071739		true	0.050784		finite	0.042603
logical	0.037812		infinite	0.035645		formal	0.029365
natural	0.027199		complete	0.026398		empty	0.026085
real	0.021538		false	0.020266		uniform	0.01687
countable	0.013444		affine	0.012605		axiomatic	0.012595
great	0.012258		upper	0.012241		equivalent	0.011224
certain	0.010563		measurable	0.010456		small	0.0095538
regular	0.0095015		bounded	0.0088077		possible	0.008732
ADVERBS
then	0.091395		only	0.065465		However	0.039023
i.e.	0.035638		more	0.028142		thus	0.027096
partially	0.025662		least	0.022035		even	0.02013
sometimes	0.019047		most	0.018674		either	0.018606
just	0.018366		indeed	0.017811		hence	0.017731

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High ranking documents: