Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application | BAREKENG: Jurnal Ilmu Matematika dan Terapan

BAREKENG : Journal of Mathematics and Its Applications, Volume 19 Issue 1 (March 2025) has been available online since January 2025. All officially published articles are written in English. This volume is published four times a year in March, June, September, and December. All articles in this issue (60 research articles) include 219 authors from Indonesia, Timor Leste, Pakistan, Nigeria, Malaysia, and Bangladesh.

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DOI: https://doi.org/10.30598/barekengvol19iss1year2025

Published: 2025-01-13

Articles

ENSEMBLE BAGGING WITH ORDINAL LOGISTIC REGRESSION TO CLASSIFY TODDLER NUTRITIONAL STATUS

Luthfia Hanun Yuli Arini, Solimun Solimun, Achmad Efendi, Adji Achmad Rinaldo Fernandes

1-12
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Abstract views 13 | PDF downloads 9 | DOI https://doi.org/10.30598/barekengvol19iss1pp1-12
IMPLEMENTATION OF CROSS-VALIDATION ON HANG SENG INDEX FORECASTING USING HOLT’S EXPONENTIAL SMOOTHING AND AUTO-ARIMA METHOD

Christy Sheldy Sucipto, Winita Sulandari, Yuliana Susanti

13-24
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Abstract views 8 | PDF downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp13-24
MODEL SELECTION FOR B-SPLINE REGRESSION USING AKAIKE INFORMATION CRITERION (AIC) METHOD FOR IDR-USD EXCHANGE RATE PREDICTION

Indriani Wahyu Nur Pratiwi, Sri Utami Zuliana

25-34
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Abstract views 9 | PDF downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp25-34
COMPARISON OF POISSON REGRESSION AND GENERALIZED POISSON REGRESSION IN MODELING THE NUMBER OF INFANT MORTALITY IN WEST JAVA 2022

Toha Saifudin, Fatiha Nadia Salsabila, Mubadi'ul Fitriani, Azizatul Kholidiyah, Nina Auliyah, Fildzah Tri Januar Ariani, Suliyanto Suliyanto

35-50
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Abstract views 17 | PDF downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp35-50
MULTINOMIAL LOGISTIC REGRESSION MODEL USING MAXIMUM LIKELIHOOD APPROACH AND BAYES METHOD ON INDONESIA'S ECONOMIC GROWTH PRE TO POST COVID-19 PANDEMIC

Arie Purwanto, Muhammad Aziz Suprayogi, Erwan Setiawan, Joao Ferreira Rendes Bean Loly, Gusti Arviana Rahman, Anang Kurnia

51-62
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Abstract views 20 | PDF downloads 13 | DOI https://doi.org/10.30598/barekengvol19iss1pp51-62
CLUSTERING DISTRICTS/CITIES IN EAST JAVA PROVINCE BASED ON HIV CASES USING K-MEANS, AGNES, AND ENSEMBLE

Dwi Ayu Lusia, Imelda Salsabila, Heni Kusdarwati, Suci Astutik

63-72
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Abstract views 10 | PDF downloads 11 | DOI https://doi.org/10.30598/barekengvol19iss1pp63-72
THE IMPLEMENTATION OF GEOGRAPHICALLY WEIGHTED REGRESSION (GWR) METHOD ON OPEN UNEMPLOYMENT RATE IN REGENCY/CITY OF SUMATRA ISLAND

Syarifah Meurah Yuni, T. Murdani Saputra, Nadya Nur Fadhilah

73-86
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Abstract views 12 | PDF downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp73-86
APPLIED MODIFIED EXPONENTIAL APPROACH METHOD TO DETERMINE THE OPTIMAL SOLUTION

Meliana Pasaribu, Helmi Helmi, Dwi Pajriah, Devi Indah Lestari

87-96
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Abstract views 20 | PDF downloads 10 | DOI https://doi.org/10.30598/barekengvol19iss1pp87-96
STOCK PRICE PREDICTION AND SIMULATION USING GEOMETRIC BROWNIAN MOTION-KALMAN FILTER: A COMPARISON BETWEEN KALMAN FILTER ALGORITHMS

Dimas Avian Maulana, A'yunin Sofro, Danang Ariyanto, Riska Wahyu Romadhonia, Affiati Oktaviarina, Mohammad Dian Purnama

97-106
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Abstract views 7 | PDF downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp97-106
MODELING HOUSE SELLING PRICES IN JAKARTA AND SOUTH TANGERANG USING MACHINE LEARNING PREDICTION ANALYSIS

Sugha Faiz Al Maula, Nicoletta Almira Dyah Setiawan, Elly Pusporani, Sa'idah Zahrotul Jannah

107-118
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Abstract views 12 | PDF downloads 2 | DOI https://doi.org/10.30598/barekengvol19iss1pp107-118
ETHNOMATHEMATICAL EXPLORATION OF THE TRADITIONAL FABRIC OF KARAWO GORONTALO IN RELATION TO THE CONCEPT OF TRANSFORMATION GEOMETRY

Putri Ekawaty Kobandaha, Ilham Arief, Nur Fadillah Ibrahim, Wikan Tiyasning A

119-128
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Abstract views 12 | PDF downloads 7 | DOI https://doi.org/10.30598/barekengvol19iss1pp119-128
A COMPARISON OF LOGISTIC REGRESSION, MIXED LOGISTIC REGRESSION, AND GEOGRAPHICALLY WEIGHTED LOGISTIC REGRESSION ON PUBLIC HEALTH DEVELOPMENT IN JAVA

Erwan Setiawan, Muhammad Azis Suprayogi, Anang Kurnia

129-140
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Abstract views 13 | PDF downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp129-140
PARAMETER ESTIMATION OF LOGNORMAL AND PARETO TYPE I DISTRIBUTIONS USING FREQUENTIST AND BAYESIAN INFERENCES

Jenisha Then, Ferry Jaya Permana, Benny Yong

141-152
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Abstract views 12 | PDF downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp141-152
UNDERSTANDING LQ45 STOCKS (2021-2023) WITH K-MEANS CLUSTERING

Margareta Febe, Giovanny Theotista, Winson Winson

153-162
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Abstract views 9 | PDF downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp153-162
ANALYSING MARKET DYNAMICS: REVEALING OBSCURED PATTERNS IN LQ45 STOCKS (2021-2023) USING WARD’S HIERARCHICAL CLUSTERING

Giovanny Theotista, Margareta Febe, Michael Sannova Ryan

163-172
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Abstract views 9 | PDF downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp163-172
STABILITY ANALYSIS OF THE SIQR MODEL OF DIPHTHERIA DISEASE SPREAD AND MIGRATION IMPACT

Mohammad Soleh, Mutia Nazvira, Wartono Wartono, Elfira Safitri, Riry Sriningsih

173-184
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Abstract views 9 | PDF downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp173-184
ENHANCING 〖PM〗_(2.5) PREDICTION IN KEMAYORAN DISTRICT, DKI JAKARTA USING DEEP BILSTM METHOD

Nabila Karin, Gumgum Darmawan, Triyani Hendrawati

185-198
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Abstract views 8 | PDF downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp185-198
ANALYZING SOCIAL MEDIA SENTIMENT TOWARD SPECIFIC COMMODITIES FOR FORECASTING PRICE MOVEMENTS IN COMMODITY MARKETS

Mariono Mariono, Syaharuddin Syaharuddin, Sameer Ashraf, Sunday Emmanuel Fadugba

199-214
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Abstract views 13 | PDF downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp199-214
DYNAMICS OF RAINFALL AND TEMPERATURE IN NORTH SUMATRA PROVINCE: COMPREHENSIVE ANALYSIS OF TEMPORAL TRENDS

Riri Syafitri Lubis, Yenny Suzana, Fatmah Syarah, Fajriana Fajriana, Fachrur Rozi, Badai Charamsar Nusantara

215-226
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Abstract views 9 | PDF downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp215-226
A COMPARISON OF RANDOM FOREST AND DOUBLE RANDOM FOREST: DROPOUT RATES OF MADRASAH STUDENTS IN INDONESIA

Arie Purwanto, Bagus Sartono, Khairil Anwar Notodiputro

227-236
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Abstract views 8 | PDF downloads 7 | DOI https://doi.org/10.30598/barekengvol19iss1pp227-236
VOLATILITY ANALYSIS AND INFLATION PREDICTION IN PANGKALPINANG USING ARCH GARCH MODEL

Desy Yuliana Dalimunthe, Elyas Kustiawan, Khadijah -, Niken Halim, Helen Suhendra

237-244
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Abstract views 5 | pdf downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp237-244
THE COMPARISON OF LONG SHORT-TERM MEMORY AND BIDIRECTIONAL LONG SHORT-TERM MEMORY FOR FORECASTING COAL PRICE

Indra Rivaldi Siregar, Adhiyatma Nugraha, Khairil Anwar Notodiputro, Yenni Angraini, Laily Nissa Atul Mualifah

245-258
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Abstract views 15 | pdf downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp245-258
A STUDY ON THE STRUCTURE OF MATRICES RELATED TO THE VECH*, VECP*, AND VEC OPERATORS

Nurul Hidayah, Yanita Yanita, Admi Nazra

259-270
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Abstract views 12 | pdf downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp259-270
KNOT OPTIMIZATION FOR BI-RESPONSE SPLINE NONPARAMETRIC REGRESSION WITH GENERALIZED CROSS-VALIDATION (GCV)

Andre Fajry Al Barra, Dewi Retno Sari Saputro

271-280
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Abstract views 4 | pdf downloads 16 | DOI https://doi.org/10.30598/barekengvol19iss1pp271-280
CONVOLUTIONAL LSTM FOR EGG PRICES FORECASTING IN INDONESIA’S HIGH STUNTING PREVALENCE PROVINCE

Sinta Septi Pangastuti, Muhammad Restu Agam, Ananda Hilmi Santika, Juzma Fawwaza Rosadi

281-290
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Abstract views 9 | pdf downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp281-290
THE EXPLOITATION STATUS OF WORKING SCHOOL-AGE CHILDREN IN INDONESIA: A MULTILEVEL BINARY LOGISTIC REGRESSION ANALYSIS

Setiawan Ariansyah, Tiodora Hadumaon Siagian

291-302
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Abstract views 2 | pdf downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp291-302
SOLVING CUTTING STOCK PROBLEM USING PATTERN GENERATION METHOD ON 2-DIMENSIONAL STOCK

Ihda Hasbiyati, Indri Latifa, Abdul Rahman, Ahriyati Ahriyati, Moh Danil Hendry Gamal

303-318
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Abstract views 4 | pdf downloads 2 | DOI https://doi.org/10.30598/barekengvol19iss1pp303-318
COMPARISON OF SARIMA AND SARIMAX METHODS FOR FORECASTING HARVESTED DRY GRAIN PRICES IN INDONESIA

Riska Yulianti, Nabila Tri Amanda, Khairil Anwar Notodiputro, Yenni Angraini, Laily Nissa Atul Mualifah

319-330
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Abstract views 12 | pdf downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp319-330
DEVELOPMENT OF NONPARAMETRIC PATH FUNCTION USING HYBRID TRUNCATED SPLINE AND KERNEL FOR MODELING WASTE-TO-ECONOMIC VALUE BEHAVIOR

Usriatur Rohma, Adji Achmad Rinaldo Fernandes, Suci Astutik, Solimun Solimun

331-344
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Abstract views 4 | pdf downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp331-344
APPLICATION OF DETERMINISTIC MODEL FOR HYPERTENSION CASES

Mario Nikolaus Dalengkade, Martina Hayati, Dwi Rahayu Pujiastuti

345-352
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Abstract views 14 | pdf downloads 11 | DOI https://doi.org/10.30598/barekengvol19iss1pp345-352
THE LOCATING CHROMATIC NUMBER OF CHAIN(A,4,n) GRAPH

Des Welyyanti, Latifa Azhar Abel, Lyra Yulianti

353-360
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Abstract views 8 | PDF downloads 0 | DOI https://doi.org/10.30598/barekengvol19iss1pp353-360
BINARY OPTION PRICING USING LATTICE METHOD

Donny Citra Lesmana, Natallia Christina, Ravy Ardian Kusuma, Siti Salwa Nabila

361-374
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Abstract views 17 | PDF downloads 9 | DOI https://doi.org/10.30598/barekengvol19iss1pp361-374
APPLICATION OF THE GENERALIZED SPACE TIME AUTOREGRESSIVE (GSTAR) METHOD IN FORECASTING THE CONSUMER PRICE INDEX IN FIVE CITIES OF SOUTH SULAWESI PROVINCE

Ahmad Zaki, Lutfiah Shafruddin, Irwan Thaha

375-384
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Abstract views 8 | PDF downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp375-384
COMPARING FORECASTS OF AGRICULTURAL SECTOR EXPORT VALUES USING SARIMA AND LONG SHORT-TERM MEMORY MODELS

Aleytha Ilahnugrah Kurnadipare, Sri Amaliya, Khairil Anwar Notodiputro, Yenni Angraini, Laily Nissa Atul Mualifah

385-396
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Abstract views 13 | PDF downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp385-396
THE COMPARISON OF ARIMA AND RNN FOR FORECASTING GOLD FUTURES CLOSING PRICES

Windy Ayu Pratiwi, Anwar Fajar Rizki, Khairil Anwar Notodiputro, Yenni Angraini, Laily Nissa Atul Mualifah

397-406
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Abstract views 7 | PDF downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp397-406
COMPARATIVE PERFORMANCE OF SARIMAX AND LSTM MODEL IN PREDICTING IMPORT QUANTITIES OF MILK, BUTTER, AND EGGS

Ghardapaty Ghaly Ghiffary, Eka Dicky Darmawan Yanuari, Khairil Anwar Notodiputro, Yenni Angraini, Laily Nissa Atul Mualifah

407-418
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Abstract views 13 | PDF downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp407-418
THE SUFFICIENT AND NECESSARY CONDITIONS FOR A MODULE TO BE A WEAKLY UNIQUE FACTORIZATION MODULE

I Putu Yudi Prabhadika, Sri Wahyuni

419-426
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Abstract views 4 | PDF downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp419-426
A MATHEMATICAL APPROACH TO INVESTMENT WITH CHARGE ON BALANCE AND VOLUNTARY CONTRIBUTIONS UNDER WEIBULL MORTALITY FORCE FUNCTION

Edikan Edem Akpanibah, Peter Benneth, Ase Matthias Esabai

427-440
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Abstract views 3 | PDF downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp427-440
A DUAL-CHANNEL SUPPLY CHAIN MODEL OF COMPLEMENTARY PRODUCTS BY CONSIDERING GREEN MANUFACTURING LEVEL

Sabrina Sri Mulyani, Ririn Setiyowati, Nughthoh Arfawi Khurdi

441-452
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Abstract views 3 | PDF downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp441-452
HOLT-WINTER METHOD FOR FORECASTING LIQUID ALUMINIUM SULFATE USAGE FOR PROBABILISTIC INVENTORY MODELING Q WITH ERLANG DISTRIBUTION

Oki Dwipurwani, Fitri Maya Puspita, Siti Suzlin Supadi, Evi Yuliza, Dhiya Qatrunnada

453-464
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Abstract views 12 | PDF downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp453-464
IMPLEMENTATION OF K-MEDOIDS AND K-PROTOTYPES CLUSTERING FOR EARLY DETECTION OF HYPERTENSION DISEASE

Hardianti Hafid, Selvi Annisa

465-476
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Abstract views 2 | PDF downloads 7 | DOI https://doi.org/10.30598/barekengvol19iss1pp465-476
OPTIMAL CONTROL ON MATHEMATICAL MODEL OF MPOX DISEASE SPREAD

Putri Nabila Ikhsani, Tarmizi Usman, Muhammad Ikhwan

477-490
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Abstract views 7 | PDF downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp477-490
A FRACTIONAL-ORDER MATHEMATICAL MODEL OF THE SPREAD OF INFLUENZA

Abyan Daffa Akbar, Fatmawati Fatmawati, Ahmadin Ahmadin

491-502
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Abstract views 5 | PDF downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp491-502
FORECASTING RICE PRICES IN TRADITIONAL MARKETS IN BANYUMAS REGENCY USING FUZZY TIME SERIES CHEN

Dian Kartika Sari, Aminatus Sa'adah

503-510
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Abstract views 5 | PDF downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp503-510
FRACTIONAL-ORDER MODEL OF THE DRUG USER TRANSMISSION

Indah Nurun Izzati, Fatmawati Fatmawati, Cicik Alfiniyah

511-524
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Abstract views 7 | PDF downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp511-524
IMPLEMENTATION OF THE SEM-PLS APPROACH TO ANALYZE THE IMPACT OF SOCIAL AID AND APBD ON POVERTY IN THE BOJONEGORO DISTRICT

Denny Nurdiansyah, Diah Ayu Novitasari, Sari Lestari Zainal Ridho, Muchammad Chandra Cahyo Utomo, Dewi Putri Nur Oktafiya

525-536
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Abstract views 19 | PDF downloads 2 | DOI https://doi.org/10.30598/barekengvol19iss1pp525-536
CLUSTER ANALYSIS OF K-MEANS AND WARD METHOD IN FORMING A ROBUST PORTFOLIO: AN EMPIRICAL STUDY OF JAKARTA ISLAMIC INDEX

Zuva Amalina Zain, Noor Saif Muhammad Mussafi, Epha Diana Supandi

537-546
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Abstract views 6 | PDF downloads 2 | DOI https://doi.org/10.30598/barekengvol19iss1pp537-546
THE NON-COPRIME GRAPHS OF UPPER UNITRIANGULAR MATRIX GROUPS OVER THE RING OF INTEGER MODULO WITH PRIME ORDER AND THEIR TOPOLOGICAL INDICES

M. Afdhaluzzikri, I Gede Adhitya Wisnu Wardhana, Fariz Maulana, Hena Rani Biswas

547-556
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Abstract views 25 | PDF downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp547-556
SPATIAL MODELING OF MATERNAL HEALTH: GEOGRAPHICALLY WEIGHTED POISSON REGRESSION ON MATERNAL MORTALITY FACTORS

Alfa Yuliana, Achmad Fauzan

557-570
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Abstract views 17 | PDF downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp557-570
CRAMER’S RULE IN INTERVAL MIN-PLUS ALGEBRA

Siswanto Siswanto, Ade Safira Septiany

571-580
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Abstract views 8 | PDF downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp571-580
CONSUMER PRICE INDEX MODELING USING A MIXED TRUNCATED SPLINE AND KERNEL SEMIPARAMETRIC REGRESSION APPROACH

Lilik Hidayati, Mustika Hadijati, Nur Asmita Purnamasari, Ristiandi Ristiandi, Ni Nyoman Dewi Kartini

581-594
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Abstract views 3 | pdf downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp581-594
APPLICATION OF CLASSIFICATION BASED ASSOCIATION (CBA) FOR MONKEYPOX DISEASE DETECTION

Qoria Yudi Pratama, Mohammad Isa Irawan

595-602
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Abstract views 4 | pdf downloads 5 | DOI https://doi.org/10.30598/barekengvol19iss1pp595-602
CONSTRUCTION OF BLUE ECONOMY DEVELOPMENT INDEX AT THE PROVINCIAL LEVEL IN INDONESIA USING EXPLORATORY FACTOR ANALYSIS

Dewi Novita Sari, Siskarossa Ika Oktora

603-616
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Abstract views 13 | pdf downloads 20 | DOI https://doi.org/10.30598/barekengvol19iss1pp603-616
GEOMETRIC BROWNIAN MOTION WITH JUMP DIFFUSION AND VALUE AT RISK ANALYSIS OF PT BANK NEGARA INDONESIA STOCKS

Ainun Zakiah, Evy Sulistianingsih, Neva Satyahadewi

617-628
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Abstract views 5 | pdf downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp617-628
COMPARISON OF SURVIVAL ANALYSIS USING ACCELERATED FAILURE TIME MODEL AND COX MODEL FOR RECIDIVIST CASE

Nuraziza Arfan, Asrul Irfanullah, Muhammad Rozzaq Hamidi, Utriweni Mukhaiyar

629-642
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Abstract views 11 | pdf downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp629-642
3D MODELING COMPUTATION TO EVALUATE GROYNE STRUCTURE PERFORMANCE: CASE STUDY OF PASSO COASTAL AREA

Ganisa Elsina Salamena, Gianita Anastasia Salamena, Grace Loupatty, Citra Fathia Palembang

643-654
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Abstract views 9 | pdf downloads 8 | DOI https://doi.org/10.30598/barekengvol19iss1pp643-654
COMPARATIVE ANALYSIS OF TWO-STEP AND QUASI MAXIMUM LIKELIHOOD ESTIMATION IN THE DYNAMIC FACTOR MODEL FOR NOWCASTING GDP GROWTH IN INDONESIA

Gilbert Alvaro Souisa, Reyner M. Leiwakabessy, Salma Damayanti, Mohammad Zanuar F Terim, Shelma M Pelu

655-664
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Abstract views 23 | pdf downloads 4 | DOI https://doi.org/10.30598/barekengvol19iss1pp655-664
IMPROVING CLUSTER ACCURACY IN TUITION FEES: A MULTILAYER PERCEPTRON NEURAL NETWORK AND RANDOM FOREST APPROACH

Sumin Sumin, Prihantono Prihantono, Khairawati Khairawati

665-674
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Abstract views 3 | pdf downloads 1 | DOI https://doi.org/10.30598/barekengvol19iss1pp665-674
IMPLEMENTATION OF FEATURE IMPORTANCE XGBOOST ALGORITHM TO DETERMINE THE ACTIVE COMPOUNDS OF SEMBUNG LEAVES (BLUMEA BALSAMIFERA)

Kusnaeni Kusnaeni, Nurul Fuady Adhalia, Abdul Khaliq Zulfattah

675-686
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Abstract views 2 | pdf downloads 3 | DOI https://doi.org/10.30598/barekengvol19iss1pp675-686
MODELING CUSTOMER LIFETIME VALUE WITH MARKOV CHAIN IN THE INSURANCE INDUSTRY

Adilan Widyawan Mahdiyasa, Udjianna Sekteria Pasaribu, Kurnia Novita Sari

687-696
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Abstract views 6 | pdf downloads 6 | DOI https://doi.org/10.30598/barekengvol19iss1pp687-696

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