- Type of paper
: Book
Title: Mathematical Dictionarz
- Authors:
- Gusić, Ivica (50461)
Publisher: Element
ISBN: 953-6098-20-2
Year: 1995
Number of pages: 282
Language: hrvatski
Summary: About 700 important mathematical notions are described, and
about 300 short biographies of important mathematicians are presented.
Secondary shool's topics and some college topic are covered by entries from
the dictionary. The notions are defined, after that the historical
developments of the notions are given. Beginnings of terms as well as
beginnings and development of denotations are given, too. Meritorious
mathematicians connected with entries are mentoined. Pictures,
illustrations and nontrivial examples are included. Mainly, the Croatian
terms beside international ones are mentioned. The appendix of the
dictionary is the chronology of important mathematical occurences.
Keywords: Mathematical notions and terms, mathematicians.
- Type of paper
: Book
Title: Mathematics, for professional and industrial schools
- Authors:
- Gusić, Ivica (50461)
- Gusić, Jelena
Publisher: Birotehnika
ISBN: 953-6128-05-5
Year: 1994
Number of pages: 178
Language: hrvatski
Summary: The themes: Trigonometric functions, trigonometry, vectors,
straight line, circle, ellipse, hyperbole, parabole, in methodical manner
is presented. The book contains about 400 exercises with brief solutions.
Keywords: Trigonometry, trigonometric functions, vectors, analytic geometry.
- Type of paper
: Book
Title: Mathematics, for professional and industrial schools,
II.Ed.
- Authors:
- Gusić, Ivica (50461)
- Gusić, Jelena
Publisher: Birotehnika
ISBN: 953-6128-11-X
Year: 1995
Number of pages: 196
Language: hrvatski
Summary: The themes: Tigonometric functions, trigonometry, vectors,
straight line, circle, elipse, hyperbole, parabole, arithmetic sequence,
geometric sequence, compound interest in methodical manner is presented.
The book contains about 400 exercises with brief solutions.
Keywords: Trigonoimetry, trigonometric functions, vectors, analytic geometry, sequence, compound interest.
- Type of paper
: Paper in journal
Title:
- Authors:
- Plačkov, Đorđe (121583)
- Štern, Ivica (48301)
Journal: Fluid Phase Equilibria
ISSN: 0378-3812
Volume: 71
Year: 1992
Pages: from 189 to 209
Number of references: 47
Language: engleski
Summary: Liquid-liquid equilibria data are presented for the systems
cyclohexane-water-methanol,
cyclohexane-water-ethanol,cyclohexane-water-1-propanol and
cyclohexane-water-2-propanol at25 C. The presented data for the system
cyclohexane-water-methanol are more accurate than those previously
published. Inaddition conflicts in the previously published data for
thesystems cyclohexane-water with methanol, ethanol and 2-propanolnow have
been resolved.
The applicability of the semiempirical models NRTL, UNIQUAC,
Hiranuma's modification of the Wilson equation and Bevia et al.,
together with the UNIFAC group contribution method in LLEpredictions
of the studied systems is also examined. Thesemiempirical models tested
give quantitative results only forthe systems cyclohexane-water with
methanol and ethanol, whilegiving poor results for the systems with
1-propanol and2-propanol. UNIFAC gives quantitative results for all
systemsstudied.
Keywords: Liquid-liquid equilibria, cyclohexane, water, alcohols C1-C3, NRTL, UNIQUAC, Hiranuma-Wilson, data, prediction.
- Type of paper
: Paper in journal
Title: Asymptotes of Algebraic Curves
- Authors:
- Gusić, Ivica (50461)
Journal: Matematika
Number: 2
Volume: 20
Year: 1991
Pages: from 37 to 42
Language: hrvatski
Summary: It is proved that the asymptotes of algebraic curves
arelimes of tangents. By the example, it is shown that theassumption of
algebraicity can not be omitted.
Keywords: Alebraic curve, regular point, homogenous coordinates, tangent, asymptote.
- Type of paper
: Paper in journal
Title: Representation of Numbers by Quadratic Forms
- Authors:
- Gusić, Ivica (50461)
Journal: Matematičko fizički list
Number: 3
ISSN: 0543-0038
Volume: 41
Year: 1991
Pages: from 94 to 95
Language: hrvatski
Summary: The properties of integers representing by quadratic
formsare discussed.
Keywords: Quadratic form, integer solution.
- Type of paper
: Paper in journal
Title:
- Authors:
- Gusić, Ivica (50461)
Journal: Glasnik Matematički
ISSN: 0017-095X
Number of references: 5
Language: engleski
Summary: It is proved that the Faltings theorem on isogenies of
elliptic curves over Q is a natural generalization of Weak Hasse priciple
for quadratic forms.
Keywords: Quadratic form, cubic form, p-adic fields, algebraic curve, elliptic curve, isomorphism of algebraic curves, isogenies of elliptic curves, reduction of elliptic curve.
- Type of paper
: Paper in journal
Title: Fermat Last Theorem
- Authors:
- Gusić, Ivica (50461)
Journal: Život i škola
ISSN: 0044-4855
Volume: 5
Year: 1994
Pages: from 425 to 434
Number of references: 9
Language: hrvatski
Summary: The new achievements in solving of the last Fermat theorem
are presented. The short historical review is given. The arithmetic,
algebraic, geometric and topological notion that are connected with the
theorem are explained in a short form. A simple scetch of possible proof is
given.
Keywords: Pthagorean triples, Fermat equation, Diofant equation, algebraic field, ring of Gauss numbers, finite fields, p-adic fields, elliptic curves.
- Type of paper
: Paper in journal
Title: Fermat Last theorem
- Authors:
- Gusić, Ivica (50461)
Journal: Matematičko fizički list
Number: 176
ISSN: 0543-0038
Volume: 4
Year: 1994
Pages: from 178 to 185
Number of references: 1
Language: hrvatski
Summary: Last Fermat theorem is formulated and in the short form the
history of solving the theorem is described. Elliptic curve are defined as
well as the group operations on them. Finite fields are described as well
as the notion of the reduction of elliptic curves. The connection between
the possible proof of Fermat last theorem and elliptic curve is mentioned.
Keywords: Elliptic curve, rational points on elliptic curve, finite field, congruence, reduction mod p of elliptic curve.
- Type of paper
: Paper in journal
Title: Determination of Polymer Molecular Weight by Light
Scattering
- Authors:
- Pintarić, Božena (22774)
Journal: Polimeri
Number: 4
ISSN: 0351-1871
Volume: 15
Year: 1994
Pages: from 129 to 142
Number of references: 8
Language: hrvatski
Summary: A theoretical background of the light scattering method
focusing on the low-angle laser light scattering technique is presented.
The method yields the fundamental parameters of polymer chain in solution,
Mw and A2, rapidly.
Keywords: Light scattering, polymer, molecular weight.
- Type of paper
: Paper in proceedings
Title:
- Authors:
- Henč-Bartolić, Višnja (15515)
- Pintarić, Božena (22774)
- Bartolić-Orhanović, Iva
- Editors
- Srb, Neven
Language: engleski
ISBN/ISSN: 86-81997
Pages: from 0 to 0
Meeting: IV. međunarodni simpozij o novim tehnologijama
Held: from 10/25/93 to 10/27/93
Summary: An opto-electronic device for the attenuation
coefficientmeasurement based on the transmition of laser light power
troughturbid liquid samples (river water) was developed.
Keywords: Opto-electronic device, attenuation coefficient, laser light, turbid liquid.
- Type of paper
: Summary in proceedings
Title: Molecular Structure-Property Study of Some Organic
Solvents
- Authors:
- Pintarić, Božena (22774)
- Trinajstić, Nenad (50450)
Proceedings title: Sinopsisi
Language: hrvatski
Place: Zagreb
Year: 1991
Pages: from 25 to 25
Meeting: XII. sastanak kemičara Hrvatske
Held: from 02/11/91 to 02/13/91
Summary: Relationship of molecular structures of same organic
solvents,coded by Wiener's number, and refractive index at wavelengths
of589 nm and 633 nm, and 20 C was studied. Investigated were
fourmathematical models, of which a polynomial gave the best fit.
Keywords: Molecular structures, refractive index, Wiener's number, mathematical model.
- Type of paper
: Summary in proceedings
Title: Thermodynamic Properties of Dilute Cellulose Diacetate
Solutions
- Authors:
- Pintarić, Božena (22774)
- Mencer, Helena Jasna
Proceedings title: Sinopsisi
Language: hrvatski
Place: Zagreb
Year: 1993
Pages: from 248 to 248
Meeting: XIII. skup hrvatskih kemičara
Held: from 02/08/93 to 02/10/93
Summary: Thermodynamic properties of dilute solutions of
cellulosediacetate in acetone, dimethylformamide and formic acid
wereinvestigated using light-scattering measurements. Second
virialcoefficients and Flory-Huggins interaction parameterexperimentally
obtained indicates the thermodynamic quality ofthe solvent used.
Keywords: Second virial coefficient, Flory-Huggins parameter, light scattering, cellulose diacetate, acetone, dimethylformamide, formic acid.
- Type of paper
: Manuscript
Title:
- Authors:
- Gusić, Ivica (50461)
Language: engleski
Summary: It is proved that L-functions of simple Abelian
varietiesover a Galois number field are linearly independent. Also, it
isshown the assumption of the simplicity can not be omited.
Keywords: Elliptic curve, Abelian variety, L-function, modular form, algebric number field, l-adic representation.
Other: U toku je recenzija rada u časopisu:
PublicationsMathematiques.
- Type of paper
: Manuscript
Title:
- Authors:
- Plačkov, Đorđe (121583)
- Štern, Ivica (48301)
- Mainwaring, David
Language: engleski
Summary: Ternary liquid-liquid aquilibria was predicted
employing thesemiempirical models NRTL, UNIQUAC and Hiranuma-Wilson for
6systems type I and for 6 systems of type II. The parameters ofthe models
for the PMBS were calculated from mutual solubility,VLE and arithmetic mean
from parameters calculated from mutualsolubility and VLE, and their
influence on accuracy of predictionwas investgated.
For the systems of type I was found that best results areobtained if
the parameters are calculated from mutual solubility.For the systems of
type II the UNIQUAC model gives better resultswith parameters calculated
from mutual solubility; while the NRTLand H-W models give better results
with parameters calculatedfrom VLE.
Keywords: Liquid-liquid equilibria, NRTL, UNIQUAC, Hiranuma-Wilson models.
Other: Rad je pripremljen za tisak.
- Type of paper
: Manuscript
Title:
- Authors:
- Štern, Ivica (48301)
- Gusić, Ivica (50461)
- Plačkov, Đorđe (121583)
Language: engleski
Summary: The properties of mathematical NRTL model was analysed.
A newprocedure for model's parameters calculation was suggested.
Keywords: NRTL model, parameters calculation.
Other: Rad je pripremljen za tisak.
- Type of paper
: Manuscript
Title: Determination of Refractive Index and Specific Refractive
Index Increment of Polymer Solutions
- Authors:
- Pintarić, Božena (22774)
Language: hrvatski
Summary: A theoretical background of the refractive index and the
specific refractive index increment measurement is discussed, particularly
in relation to the light scattering, as polymer characterisation method.
Keywords: Refractive index, specific refractive index increment.
