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"Qual è la forma di un "giro della morte" in un roller-coaster? Che traiettoria descrive il passeggero di una vorticosa giostra? Quando si guarda ad una ruota panoramica si vede davvero una circonferenza?A partire dai consolidati percorsi didattici di Matematica nel parco di Mirabilandia il libro offre, oltre alla loro puntuale descrizione, anche molti spunti di approfondimento teorico e didattico. Viene affrontato il tema della modellizzazione e del suo insegnamento a scuola, del rapporto tra matematica e realtà, del ruolo dell'ambiente di apprendimento, del laboratorio di matematica. Viene illustrato l'utilizzo, a scuola e nei percorsi didattici, di giochi, software e calcolatrici grafiche, e di macchine matematiche, alcune delle quali ideate e costruite appositamente per il progetto Matebilandia. Si approfondiscono applicazioni didattiche di curve geometriche come ellissi, parabole, spirali, epicicloidi, fornendo utili schede di laboratorio pronte per l'utilizzo in aula."

"ABSTRAKTindak kriminal di Indonesia semakin meningkat, baik variasi maupun jumlahnya setiap tahun. Tindak kriminal dalam penelitian ini termasuk pembunuhan, perkosaan, penganiayaan, perusakan, pencurian, penipuan, dan kasus lain yang membuat masyarakat merasa tidak aman. Penelitian ini bertujuan untuk mengetahui faktor-faktor apa saja yang mempengaruhi jumlah tindak kriminal di Provinsi Sumatera Utara serta mengetahui bagaimana pengaruh waktu dan tempat kejadian di 33 kabupaten/kota di Provinsi Sumatera Utara pada tahun 2016. Penelitian ini menggunakan data sekunder yang dihimpun oleh POLRI, BPS, dan Dinsos di Provinsi Sumatera Utara pada tahun 2013, 2014, 2015 dan 2016. Variabel bebas yang digunakan adalah jumlah pengangguran, jumlah penduduk miskin, kepadatan penduduk, indeks pembangunan manusia, jumlah tempat Ibadah, laju pertumbuhan ekonomi, dan jumlah keluarga bermasalah sosial psikologis. Untuk menjawab tujuan penelitian ini maka dilakukan pemodelan regresi dengan memasukkan unsur spasial sebagai pendekatan analisis data spasial. Variabel Dummy berfungsi untuk mengetahui apakah ada pengaruh waktu terhadap terjadinya tindak kriminal di 33 kabupaten/kota Provinsi Sumatera Utara. Hasil penelitian menunjukkan bahwa variabel jumlah pengangguran, jumlah penduduk miskin, kepadatan penduduk, dan indeks pembangunan manusia signifikan pada model.

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ABSTRACTCrime in Indonesia is increasing, both variation and number every year. Crimes in this research include murder, rape, torture, vandalism, theft, fraud, and other cases that make people feel insecure. This study aims to determine what factors affect the number of criminal acts in North Sumatra Province and find out how the influence of time and place in 33 districts cities in the Province of North Sumatra in 2016. This study uses secondary data collected by POLRI, BPS and Dinsos in North Sumatra Province in 2013, 2014, 2015 and 2016. The independent variables used are the number of unemployed, the number of poor, the population density, the human development index, the number of places of worship, the rate of economic growth, and the number of families with social problems psychologi. To answer the purpose of this study, it is done regression modeling by incorporating spatial elements as a spatial data analysis approach. Dummy variable serves to determine whether there is influence of time to the occurrence of criminal acts in 33 districts cities of North Sumatra Province. The results showed that the variables of unemployment, number of poor, population density, and human development index were significant in model. "

"ABSTRAKAngka kematian ibu didefinisikan sebagai jumlah kematian ibu pada saat masa kehamilan atau dalam kurun waktu 42 hari setelah masa kehamilan berhenti setiap seratus ribu kelahiran hidup. Salah satu tujuan dari Millenium Development Goals MGDs Indonesia adalah untuk mengurangi angka kematian ibu. Salah satu faktor yang menentukan angka kematian ibu adalah jumlah kematian ibu. Menurut profil kesehatan Indonesia tahun 2014 provinsi Jawa Barat, Jawa Tengah, dan Jawa Timur berkontribusi 26 persen dari total jumlah kematian ibu di Indonesia. Variabel-variabel yang diduga memengaruhi kematian ibu adalah jumlah tenaga kesehatan, program pemberian beras miskin, ketersediaan air bersih, jumlah penduduk yang buta huruf, dan jumlah kelahiran yang dibantu oleh tenaga kesehatan. Data yang digunakan adalah data spasial yang merupakan data yang memiliki informasi koordinat di dalamnya. Menurut Cressie 1993, kejadian di suatu wilayah cenderung dipengaruhi oleh kejadian di sekitarnya dan ketergantungan spasial seringkali ditemukan di dalam analisis regresi. Oleh karena itu diduga bahwa jumlah kematian ibu di suatu wilayah dipengaruhi oleh jumlah kematian ibu di wilayah lainnya yang berdekatan. Pemodelan jumlah kematian ibu dilakukan dengan pendekatan regresi spasial menggunakan model Spatial Autoregressive dan Spatial Error, sehingga dapat diketahui variabel apa saja yang signifikan serta seberapa besar faktor spasial memengaruhi jumlah kematian ibu di Jawa Barat, Jawa Tengah, dan Jawa Timur. Pada ketiga daerah tersebut, juga akan dideteksi Kabupaten/kota mana saja yang memiliki jumlah kematian ibu tertinggi secara statistik menggunakan metode Spatial Scan Statistics. Hasil pemodelan menunjukkan bahwa jumlah tenaga kesehatan, program pemberian beras miskin, dan jumlah penduduk buta huruf merupakan faktor yang signifikan memengaruhi jumlah kematian ibu dan didapatkan cluster daerah yang memiliki jumlah kematian ibu tertinggi secara statistik.

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ABSTRACTMaternal mortality is defined as the number of maternal deaths during pregnancy or within 42 days of termination of pregnancy every hundred thousands live births. One of the Millennium Development Goals MGDs of Indonesia was to reduce maternal mortality. One of the factors that determine maternal mortality is the number of maternal deaths. According to Indonesia 39s health profile in 2014, West Java, Central Java and East Java provinces contributed 26 percents of the total number of maternal deaths in Indonesia. The variabels suspected affect maternal deaths are the number of health workers, poor rice programs, the availability to access clean water, the number of illiterate people, and the number of births assisted by health personnel. The data is spatial data which has coordinate information in it. According to Cressie 1993, events in a region tend to be influenced by surrounding events and spatial dependence is often found in spatial data. Therefore it is suspected that the number of maternal deaths in a region is affected by the number of maternal deaths in other surrounding areas. Maternal deaths data was analyzed by spatial regression approach using Spatial Autoregressive and Spatial Error Model to know which variabels are significant and to know whether spatial factor influences the number of maternal deaths in West Java, Central Java, and East Java. In all three areas, the highest number of maternal deaths will also be detected statistically using the Spatial Scan Statistics method. The modeling results showed that the number of health workers, poor rice program, and the number of illiterate people were significant factors that affect the number of maternal deaths and the cluster areas that have highest number of maternal deaths were obtained statistically. "

"Spesso i giochi danno lo spunto per affrontare argomenti matematici interessanti e significativi. Si tratta di un punto di partenza stimolante per accedere alla matematica, come gli autori hanno potuto verificare in occasione di molte lezioni-laboratorio tenute con studenti delle scuole superiori in Italia, Svizzera, Germania e Stati Uniti: da tale esperienza concreta nasce il presente volume. Insegnanti, studenti e appassionati di matematica troveranno nel libro percorsi che partono dai giochi e approdano a temi matematici talvolta fuori dagli schemi dei programmi scolastici: i grafi, le permutazioni, i gruppi, le funzioni di più variabili reali, il teorema di punto fisso di Brouwer, gli omeomorfismi, le curve nel piano e i primi concetti della topologia, solo per citarne alcuni. Il testo si offre quindi sia come supporto pratico per proporre itinerari didattici, sia come lettura di approfondimento, che confidiamo piacevole, a proposito di alcuni giochi e della matematica che permettono di scoprire. Da tale esperienza concreta nasce il presente volume, che ne conserva la struttura di avvicinamento al rigore matematico attraverso domande e approfondimenti successivi, consolidati da molti esercizi."

"Suatu runtun waktu yang memiliki variabel respon biner disebut runtun waktu biner. Runtun waktu biner dapat dimodelkan menggunakan model umum Autoregressive dengan pendekatan regresi non-linier. Kedem Fokianos 2000 mengenalkan model runtun waktu biner melalui pendekatan Autoregressive dan regresi logistik. Metode yang digunakan untuk penaksiran parameter yaitu metode Partial Likelihood. Metode Partial Likelihood ini dilakukan dengan menentukan fungsi Partial Likelihood yang dibentuk dari probability density function pdf marginal distribusi Bernoulli. Namun, dalam proses penaksiran parameter menggunakan metode Partial Likelihood ditemukan kesulitan untuk mendapatkan solusi secara langsung dikarenakan persamaan yang tidak linier closed form. Oleh karena itu, untuk mengatasi hal tersebut dilakukan iterasi menggunakan metode Fisher Scoring. Aplikasi data pada penaksiran parameter untuk model runtun waktu biner dalam tugas akhir ini menggunakan data kompetisi balap perahu antara Universitas Cambridge dan Universitas Oxford yang dicatat pada tahun 1946 sampai 2011 dengan jumlah data berbeda yaitu 22, 44, dan 66 data. Berdasarkan aplikasi data yang dilakukan, diperoleh hasil bahwa penaksiran parameter untuk model runtun waktu biner menggunakan Partial Likelihood dengan jumlah data yang berbeda menghasilkan penaksir parameter yang relatif sama atau tidak memiliki perbedaan yang signifikan.

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A time series that has binary respon variable is called a binary time series. Binary time series can be modeled using the Autoregressive general model and nonlinear regression approach. Kedem Fokianos 2000 introduced a binary time series model through the Autoregressive and logistic regression approach. The parameters of binary time series are estimated using the Partial Likelihood method. The Partial Likelihood method is performed by determining the Partial Likelihood function derived from the marginal probability density function pdf of Bernoulli distribution. However, in the process of parameter estimation using this method, the form of final function to obtain parameters is not in the closed form equation. To face this problem, Fisher scoring iterations are perfomed.

The application of parameter estimation of the model uses the data about boat racing competition between the University of Cambridge and Oxford University from 1946 to 2011. Based on the data application, parameter estimation of the binary time series model using partial likelihood with different amounts of data resulting in a relatively same or no significant parameter estimator."

"The latest volume in the Springer Handbooks of Computational Statistics series covers the full range of finance, including the modern class of financial tools, computational efficient algorithms, the pricing of complex products, risk behavior and much more. "

"Geometri hiperbolik H^n, n>=2, merupakan salah satu contoh geometri non-Euclid. Pada artikelnya, Jeffers (2000) memberikan teorema mengenai bijeksi yang mempertahankan geodesik. Teorema tersebut menyatakan bahwa bijeksi yang mempertahankan geodesik di H^n adalah isometri. Pada kajian ini diberikan rincian bukti teorema di bidang hiperbolik H^2 dengan menggunakan model upper half plane.

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Hyperbolic geometry H^n, n>=2, is one of the example of non-Euclid Geometry. In his article, Jeffers (2000) present a theorem regarding bijection that preserves geodesic. The theorem states that bijection which preserves geodesic in H^n is an isometry. In this paper the proof of theorem in hyperbolic plane H^2 will be given with detail using upper half plane model."

"Il volume contiene in forma compatta il programma svolto negli insegnamenti introduttivi di statistica e tratta alcuni argomenti indispensabili per l'attività di ricerca, come ad esempio i metodi di simulazione Monte Carlo, le procedure di minimizzazione e le tecniche di analisi dei dati di laboratorio. Gli argomenti vengono sviluppati partendo dai fondamenti, evidenziandone gli aspetti applicativi, fino alla descrizione dettagliata di molti casi di particolare rilevanza in ambito scientifico e tecnico. Numerosi esempi ed esercizi risolti valorizzano l'opera ed aiutano il lettore nella comprensione dei punti più difficili ed importanti. Come ulteriore supporto, questa terza edizione contiene molti programmi applicativi scritti col software libero Scilab, scaricabili dal sito web creato dagli autori. Il testo è rivolto agli studenti universitari dei corsi ad indirizzo scientifico e a tutti quei ricercatori che devono risolvere problemi concreti che coinvolgono aspetti statistici e di simulazione."