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Warkah Berita Persama 1 WARKAH BERITA PERSAMA Bil 20 (2), 2015/1436 H/1937 S (Untuk Ahli Sahaja) Terbitan Ogos 2016 PERSATUAN SAINS MATEMATIK MALAYSIA (PERSAMA) (Dimapankan pada 1970 sebagai “Malayisan Mathematical Society” , tetapi dinamai semula sebagai “Persatuan Matematik Malaysia (PERSAMA) ” pada 1995 dan diperluaskan kepada “Persatuan Sains Matematik Malaysia (PERSAMA)” mulai Ogos 1998) Terbitan “Newsletter” persatuan ini yang dahulunya tidak berkala mulai dijenamakan semula sebagai “Warkah Berita” mulai 1994/1995 (lalu dikira Bil. 1 (1&2) 1995) dan diterbitkan dalam bentuk cetakan liat tetapi sejak isu 2008 (terbitan 2010) dibuat dalam bentuk salinan lembut di laman PERSAMA. Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 2 KANDUNGAN WB 2015, 20(2) (Julai-Dis) BARISAN PENYELENGGARA WB PERSAMA 2 MANTAN PRESIDEN & SUA PERSAMA 3 BARISAN PIMPINAN PERSAMA LANI 5-7 MELENTUR BULUH (OMK, IMO DSBNYA) 2015 7-9 BULAT AIR KERANA PEMBETUNG 9-21 STATISTIK AHLI PERSAMA SPT PADA DIS 2015 9 MINIT MESYUARAT AGUNG PERSAMA 2013/14 10-12 LAPORAN TAHUNAN PERSAMA 2013/14 13-18 PENYATA KEWANGAN PERSAMA 2013/14 18-21 BERITA PERSATUAN SN MATEMA ASEAN 21-24 DI MENARA GADING 24 GELANGGANG AKADEMIAWAN 25-115 SEM & KOLOKUIUM UKM, UM, UPM, USM & UTM Julai-Dis 2015) 25-28 PENERBITAN UPM (INSPEM, FSMSK), USM (PPSM&PSK) & UTM (JM &FP’kom) 2012 28-115 SEM DSBNYA KELAK: DALAM & LUAR NEGARA 2016 -2017 115-150 ANUGERAH (NOBEL, PINGAT DAN SEBAGAINYA) 151-152 KEMBALINYA SARJANA KE ALAM BAQA 152 MAKALAH UMUM YANG MENARIK 152 BUKU PILIHAN 152-187 ANUGERAH BUKU NEGARA 2015 152-154 LARIS JUALAN 2015 155-169 SN MATEMA 2012 & 2013 169-187 (Aljabar dan Analisis termasuk fungsi, pengoptimuman dan sistem dinamik) KE ARAH MEMPERTAUTKAN KIAMBANG 187-188 PENGELASAN SAINS MATEMATIK PERSAMA 2000 189 PENGELASAN SAINS MATEMATIK MASTIC 2003 190-193 BORANG PEMBAHARUAN KEAHLIAN PERSAMA 194 BORANG MENJADI AHLI PERSAMA 195-196 %%%%%%%%%%%%%%%%%%%% Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 3 BARISAN PENYELENGGARA WB PERSAMA PERSATUAN SAINS MATEMATIK MALAYSIA (Dimapankan pada 1970 sebagai “Malaysian Mathematical Society”, tetapi dinamai semula sebagai “Persatuan Matematik Malaysia (PERSAMA)” mulai 1995 dan berubah lagi kepada nama baru ini bermula Ogos 1998) Penyunting Pengurusan Shaharir bin Mohamad Zain PhD, FIMA, FIFM, FIA, JSP, FASc. [email protected] Presiden (mulai Julai 2013) Setiausaha Kehormat (mulai Julai 2013) Prof. Maslina binti Darus Dr. Sakhnah Abu Bakar [email protected] Pengutus Pengutus Khas Dr. Leong Choong Yeun Prof. Arsmah bt Ibrahim Prof. Nor Haniza bt Sarmin PPSM, UKM FSKSM/FTMSM, UiTM JM, UTM [email protected] [email protected] Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 4 ######################## Penerbit: Mantan Presiden : Persatuan Matematik Malaysia 2002-2013: Prof. Mohd Salmi bin Md Noorani (PERSAMA) 1994-2002: Prof. Dr. Shaharir bin Mohamad Zain d/a Jabatan Matematik 1991-93: Dr. Tan Sin Ling Fakulti Sains Matematik 1989-90: Dr. Seah Sek Wui Universiti Kebangsaan Malaysia 1988: Dr. Tan Keng Teh 43600 UKM Bangi, Selangor DE, Malaysia 1987: Dr. Abu Osman Md. Tap Tel.: 03-8292728 1986: Dr. Wong Peng Choon Faks: 03-8293289 1985: Dr. Tan Sin Ling 1984: Dr. Ng Boon Yian http://www.tmsk.itm.edu/~persama 1971, 1983: Prof. Cheng Mei Choi 1982: Dr. Lim Ming Huat 1973, 1975, 1981: Dr. Lim Chong Keang Pendapat yang terkandung di dalam Warkah Berita ini tidak 1979: Dr. Tan Keng Teh semestinya mencerminkan pandangan PERSAMA 1977-78; 1980: Dr. Seah Sek Wui 1974, 1976: Dr. Chee Pak Soon 1970, 1972: Dr. Cheong Chong Kong Mantan Setiausaha: 1997-2013: Prof. Maslina binti Darus 1994-97: Dr. Mohd. Salmi Md. Noorani 1990-93: Dr. Kurunathan Ratnavelu 1986-90: Dr. Chia Gek Leng 1985: Dr. Ng Boon Yian 1984: Dr. Tan Sin Ling 1983: Dr. Lim Meng Huat 1972, 1974, 1981-1982: Dr. Seah Sek Wui 1979-1980: Dr. Lee Choo Seng 1978: Dr. Ng Boon Yian 1977: Dr.Tan Keng Teh 1976: Dr. Ang Beng Tong 1975: Dr. Fon Wai Choo 1973: Dr. Chee Pak Soon 1971: Dr. Cheong Hock Aun 1970: Dr. Cheng Mee Choi &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& ################################################################ Peringatan Kepada Ahli-Ahli PERSAMA Bagi mengelakkan daripada gugurnya keahlian anda kerana tidak menjelaskan yuran 3 tahun berturut-turut, silalah lunaskan yuran anda dengan segera menerusi borang yang disediakan di bahagian akhir Warkah Berita ini. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 5 BARISAN PIMPINAN PERSAMA 2015/16 – 2016/17 PERSATUAN SAINS MATEMATIK MALAYSIA Presiden Prof. Maslina Darus Mel-e: [email protected] Timbalan Dekan FST, TP: +603-89215713 UKM (anggota PPSM, TG : +6013-3339444 UKM) Naib Presiden Prof. Dr. Daud Mel-e: [email protected] Mohamad TP: +603-55435346 Pusat Pengajian TG: +6013-9800880 Matematik Fakulti Sains Komputer dan Matematik UiTM 40450 Shah Alam Selangor Naib Presiden Dr. Norihan Md. Arifin Mel-e : norihanarifin@ yahoo. (PM) com; [email protected] Jabatan Matematik TP: +603-89467939 Fakulti Sains TG: +6012-3928108 UPM 43400 UPM Serdang, Selangor Setiausaha Dr Sakhinah Abu Bakar Mel-e: [email protected] Kehormat Pusat Pengajian Sains TP: +603-8921 3425 Matematik TG: +6019-2231282 Fakulti Sains & Teknologi UKM 43600 UKM Bangi, Selangor Penolong Prof. Nor Haniza Mel-e: [email protected] Setiausaha Sarmin (PM) TP : +607-5537839 Kehormat Jabatan Sains TG : +6017-7557660 Matematik, Fakulti Sains, UTM, 81310 UTM Johor Bahru, Johor Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 6 Bendahari Dr. Saiful Hafizah Mel-e: [email protected] Kehormat Jaaman (PM) TP: +603-89213422 Pusat Pengajian Sains TG: +6019-2114906 Matematik Fakulti Sains & Teknologi UKM 43600 UKM Bangi, Selangor Penolong Dr Humaida Banu Mel-e: [email protected] Bendahari Samsudin TP: +603-89215723 Pusat Pengajian Sains TG: +6017-3623463 Matematik Fakulti Sains & Teknologi UKM 43600 UKM Bangi, Selangor Ahli Jawatankuasa Dr. Mohd Tahir Ismail [email protected] Pusat Pengajian Sans Matematik, USM. Dr. Nor Muhainiah [email protected] Mohd Ali , Jabatan [email protected] Sains Matematik, Tel: +607-5534275 Fakulti Sains, UTM Dr. Nurfadhlina Abdul Halim Mel-e: [email protected] Jabatan Matematik TP: +6096683383 Fakulti Sains dan TG: +60133525861 Teknologi UMT 21030 Kuala Terengganu Terengganu Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 7 Prof. Dr. Suzeini Abdul Mel-e: [email protected] Halim TP: +603-7967 4101 Institut Sains Matematik TG: +6012- 2780768 Fakulti Sains UM 50603 Kuala Lumpur %%%%%%%%%%%%%%%%%%%% MELENTUR BULUH ( OMK, IMO DSBNYA) Keputusan OMK 2015 (Sila Lihat laman PERSAMA) Pemenang Individu Kategori Bongsu 2015 Pemenang Kumpulan Kategori Bongsu 2015 Pemenang Individu Kategori Muda 2015 Pemenang Kumpulan Kategori Muda 2015 Pemenang Individu Kategori Sulong 2015 Pemenang Kumpulan Kategori Sulong 2015 Keputusan Olimpiad Matematik Antarabangsa (OMA/IMO) 2015 The first IMO was held in 1959 in Romania, with 7 countries participating. Nowadays, there are over 100 countries participating from 5 continents. IMO (International Mathematical Olimpiad/Olimpiad Matematik Antarabangsa) 2015 di Chiang Mai, Thailand, pada 4-16 Julai 2015. Bilangan peserta: 104 buah negara; 577 orang peserta 10 agrasana: AS, China, Korea Selatan, Korea Utara, Vietnam, Australia, Iran, Rusia, Kanada, dan Singapura. Kedudukan (asana/rangki) Negara di Asia Tenggara: Vietnam, Singapura, Thailand, Indonesia, Filipina, Malaysia, dan Kemboja (Negara yang tidak ikut serta: Brunei, Laos, Myamar, Papua Niugini, dan Timor Leste) Kedudukan (asana/rangki) Negara Islam/Muslim: Iran, Turki, Kazakstan, Indonesia, Bangladesh, Arab Saudi, Bosnia-Herzegovina, Azerbaijan, Syria, Malaysia, Turkmanistan, Uzbekistan, Aljazair/Algeria, Tajikistan, Tunisia, Albania, Maghribi, Pakistan, Kosovo, Nigeria, Kyrgystan, Uganda, Ghana, Tanzania (Negara yang tidak ikut serta: Afghanistan, Bahrain, Brunei, Emiriyah A.B., Gambia, Kuwait, Rep. Turki Siprus Utara, dan Senegal) Warkah Berita PERSAMA 20(2): Julai.-Dis, 2015/1436 H/1937 S 8 Asana Negara Rasmi Musuh Kita: Israel satu tangga mengatasi Arab Saudi dll negara Muslim termasuk Malaysia tetapi di bawah Iran, Turki, Kazakstan, Indonesia dan Bangladesh Asana Mantan Penjajah Kita: AS, Vietnam, Thailand/Siam, Perancis, Jepun, UK/Inggeris, Belanda, Pertugis/Feringgi/Benggali Putih, Sepanyol Kita (Malaysia) mengatasi Sepanyol, dan beberapa buah Negara Maju: Sweden, Norway, Denmark, (Iceland), Ireland, Finland, Liechtenstein, dan Luxembourg, Soalan IMO 2015 Soalan 1. Kita katakan bahawa suatu set terhingga S yang terdiri daripada titik-titik pada suatu satah adalah seimbang jika, bagi mana-mana dua titik berbeza A dan B dalam S, wujud suatu titik C dalam S sehinggakan AC = BC. Kita katakan bahawa S adalah bebas pusat jika bagi mana-mana tiga titik berbeza A, B dan C dalam S, tidak wujud titik P dalam S sehinggakan PA = PB = PC. (a) Buktikan bahawa bagi semua integer n ≥ 3, wujud suatu set seimbang yang terdiri daripada n titik. (b) Tentukan semua integer n ≥ 3 dimana wujud suatu set seimbang dan bebas pusat yang terdiri daripada n titik. Soalan 2. Tentukan semua tigaan integer positif (a; b; c) sehinggakan setiap satu daripada nombor ab - c; bc - a; ca - b bersamaan suatu kuasaan 2. (Suatu kuasaan 2 ialah suatu integer dalam bentuk 2n, dengan n sebarang integer bukan negatif.) Soalan 3. Katakan ABC ialah suatu segitiga bersudut tirus dengan
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