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Full-Text Articles in Mathematics
Pendugaan Parameter Regresi Logistik Dengan Jaringan Syaraf Tiruan, Anik Djuraidah
Pendugaan Parameter Regresi Logistik Dengan Jaringan Syaraf Tiruan, Anik Djuraidah
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Logistic regression can be mapped equivalent to artificial neural network (ANN) without hidden layer with logistic as activation function, hence logistic regression is subset of ANN. The result study on binary and poly-chotomous response data show that parameter estimation values of ANN and logistic regression are similar. In comparison with ANN, logistic regression has standard procedure for estimation and testing parameter.
Keyword : logistic regression, generalized linear model, artificial neural network, activation function, hidden layer
Inversi Dan Titik-Titik Harmonis, Himmawati Puji, Caturiyati Caturiyati
Inversi Dan Titik-Titik Harmonis, Himmawati Puji, Caturiyati Caturiyati
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Given a circle centre O and radius r in , the inversion in this circle is the mapping defined by , where lies on the straight line through O and A, and on the same side of O as A, and . It will be investigated the property of inversion related to four harmonic points. The result is that the cross-ratio of any four coplanar points A, B, C, D is invariant under inversion. Hence, the inversion preserves the four harmonic points.
Keywords : inversion, cross ratio, four harmonic points.
Menghitung Nilai Probabilitas Pada Distribusi Normal Multivariate, Jaka Nugraha
Menghitung Nilai Probabilitas Pada Distribusi Normal Multivariate, Jaka Nugraha
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
Menghitung nilai probabilitas variabel random yang mempunyai distribusi multivariat normal, merupakan salah satu kendala dalam model probit. Persamaan probabilitas dalam model probit tidak berbentuk persamaan tertutup dan harus diselesaikan secara numerik maupun simulasi. Metode Gezn merupakan metode yang paling efektif untuk menghitung nilai probabilitas normal multivariat. Metode ini banyak diimplementasikan dalam beberapa "package" pada program R. Metode ini juga telah diimplementasikan dalam model multinomial probit yang populer disebut dengan simulator Geweke-Hajivassiliou-Keane (GHK).
Kata kunci : model multinomial probit, faktor Cholesky, random utiliti, deret Taylor
Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya, Karyati Karyati, Dhoriva Urwatul Wutsqa
Masalah Norm Minimum Pada Ruang Hilbert Dan Aplikasinya, Karyati Karyati, Dhoriva Urwatul Wutsqa
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
In this paper, will be discussed about the minimum norm in the pre- Hilbert Space, Hilbert space and its modification, and its application. The results are: Let X be a pre-Hilbert space and M is a sub space of X. If an element is fixed, then : . If there is such that , then is unique. Let H be a Hilbert space and M be a closed sub space of H . If , then there is a unique element such that , . Let X be a Hilbert space , M be a closed sub space of X …
On The Convergence Theorems Of The Mcshane Integral For Riesz-Spaces-Valued Functions Defined On Real Line, Muslim Ansori, Yosephus D. Sumanto, Novi Rustiana Dewi
On The Convergence Theorems Of The Mcshane Integral For Riesz-Spaces-Valued Functions Defined On Real Line, Muslim Ansori, Yosephus D. Sumanto, Novi Rustiana Dewi
PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika
This paper is a partial result of our researchs in the main topic "On The McShane Integral for Riesz-Spaces-valued Functions Defined on the space ". We have constructed McShane integral for Riesz-spaces-valued functions defined on the space by a technique involving double sequences and proved some basic properties which coincides with the McShane Integral for Banach-spaces valued functions defined on real line. Further, we construct some convergence theorems involving uniformly convergence theorems, monotone convergence theorems and Fatou's lemma in the sense of this integral.
Keywords : Riesz Space, McShane Integral