Judul: Seleksi Substansi Antivirus Asal Tanaman dan Efikasinya dalam Mengendalikan Bean common mosaic virus Strain Black eye cowpea (BCMV-BlC) pada Kacang Panjang.
Abstrak: Bean common mosaic virus (BCMV) is an important virus on yard long bean and it is difficult to control. Control efforts by utilizing antiviral substances of plant origin is worthy to studied. The research was done to select and test the effectiveness of plant extracts in suppressing BCMV infection on yard long bean. Twenty two plant extracts were selected by (1) spraying the crude extract to Chenopodium amaranticolor leaves, then plant inoculated by BCMV 1 hour after spraying, and (2) mixturing the crude extract with sap containing BCMV, then inoculated mechanically to C. amaranticolor. Lesio local number and lesio local inhibition percentage are measured. All plant extract treatments were able to reduced lesio local formation significantly in compare to untreatment control. Further, extracts treatment showing highest lesio local inhibition are selected to test the efectiveness in supressing BCMV infecting yard long bean in green house trial. Fifthteen plant extracts which may containing antiviral substances and inducing plant systemic resistance on yard long bean showed that except geranium and red ginger extracts, other plant extract treatments were able to reduced disease incidence and severity, milder symptom, and decreased BCMV titer, respectively. Among tested plant extracts, the most effective in suppressing BCMV infection are Bougainvillea spectabilis , Mirabilis jalapa, and Celosia cristata.
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Judul: Efikasi Beberapa Ekstrak Tanaman untuk Mengendalikan Bean common mosaic virus pada Kacang Panjang di Lapangan
Abstrak: Yard long bean is an important vegetable in Indonesia. One of its production constraint is the infection of Bean common mosaic virus (BCMV). In the field, BCMV infection is difficult to be controlled. One of effort to control the virus is by utilizing antivirus substances from plant origin. The conducted research aim was to test the effectiveness of plant extracts considerably containing antivirus substances to control BCMV on yard long bean in the field trial. Fourteen plants species were applied as crude and protein extracts which were sprayed on the leaves an hour before mechanical inoculation of BCMV. The experiment was arranged by using randomized block design. Each treatment consist of 3 blocks as replicate. Incubation period, disease incidence, symptom, disease severity and titer of BCMV were measured. The result showed that either crude extract or protein extract prolonged the incubation period and decreased the disease severity. Relative inhibition level of severity and BCMV titer of crude extract treatments ranged from 48,4% to 89.8% and from 59.8% to 99.1%, whereas protein extract treatment ranged from 43.2% to 74.4% and from -55.1% to 42.7%, respectively. Crude extract treatment showed more effective to control BCMV infection than protein extract treatment. Among tested plant extracts, Bougainvillea spectabilis and Psidium guajava crude extracts showed highest relative inhibition level of severity and BCMV titer in controlling BCMV in the field.
Keyword: yard long bean, plant extract, BCMV, antivirus

Judul: Monotonicity Properties of Trapezoid Sum Sequence on Class of Nonconvex and Nonconcave Function
Abstrak: Bernhard Riemann mendefinisikan integral tentu sebagai luas daerah di bawah kurva dari suatu fungsi real taknegatif pada sebuah interval yang tertutup dan terbatas. Beberapa alternatif yang dapat digunakan untuk menghampiri luas tersebut adalah Darboux sums melalui penjumlahan beberapa luas persegi panjang dan trapezoid sum melalui penjumlahan luas trapesium. Trapezoid sum lebih baik dalam menghampiri nilai integral untuk fungsi-fungsi yang well-behaved daripada Darboux sums. Untuk fungsi f yang bernilai real dan kontinu pada interval [a,b], f terintegral Riemann jika dan hanya jika f terintegral Darboux. Pada tesis ini ditunjukkan bahwa f terintegral Riemann jika dan hanya jika f terintegral secara trapesium. Misalkan f adalah suatu fungsi bernilai real yang kontinu pada interval [a,b]. Untuk setiap partisi P_n yang membagi [a,b] menjadi n subinterval dengan jarak yang sama, dibentuk trapezoid sum T_n (f) yang merupakan jumlah luas n trapesium sebagai pendekatan dari nilai integral f pada [a,b]. Jika f adalah fungsi konveks maka barisan trapezoid sum {T_n (f)} bersifat monoton turun dan akan bersifat monoton naik jika f fungsi konkaf. Fokus tesis ini adalah sifat kemonotonan barisan {T_n (f)} untuk fungsi f yang nonkonkaf dan fungsi f yang nonkonveks. Pada tesis ini dibuktikan sifat monoton turun dari {T_n (f)} secara generik tidak terjadi pada kelas fungsi nonkonkaf f, serta secara generik, barisan itu juga tidak monoton naik pada kelas fungsi nonkonveks. Meskipun demikian, sifat generik mengakibatkan bahwa untuk sebarang fungsi f baik di kelas fungsi nonkonkaf maupun nonkonveks, terdapat fungsi g yang menghampiri f sedemikian sehingga ekor barisan {T_n (g)} bersifat monoton. Ditunjukkan pula bahwa himpunan fungsi naik nonkonkaf dengan {T_n (f)} yang tidak monoton turun dense terhadap kelas fungsi naik nonkonkaf f. Hal tersebut juga ditunjukkan untuk himpunan fungsi turun nonkonkaf terhadap kelas fungsi turun nonkonkaf. Lalu, dibuktikan bahwa himpunan fungsi naik nonkonveks dan himpunan fungsi turun nonkonveks dengan {T_n (f)} yang tidak monoton naik, berturut-turut dense terhadap kelas fungsi naik nonkonveks dan turun nonkonveks. Himpunan-himpunan yang dense tersebut mengartikan bahwa setiap fungsi f pada kelas-kelas tersebut, dapat dihampiri oleh suatu fungsi g yang bersesuaian dengan kelas-kelas tersebut sedemikiam sehingga barisan {T_n (g)} tidak monoton., Bernhard Riemann defined definite integral as an area under the curve of a real nonnegative function on a closed bounded interval. The alternatives that can be used to estimate the area are Darboux sum which is sum of rectangular areas and trapezoid sum which is sum of trapezium areas. Trapezoid sum is better than Darboux sum as approximations toward the integral of well-behaved functions. Let f be a real valued continuous function on interval [a,b], f is Riemann integrable if and only if it is Darboux integrable. In this master’s thesis, it showed that f is Riemann integrable if and only if it is trapezium integrable. Let f be a real valued continuous function on interval [a,b]. For each partition P_n that divides the interval [a,b] into n equal length subintervals, defined trapezoid sum T_n (f) which is the total of n trapezium areas as an approach of integral value f on [a,b]. If f is a convex function then the trapezoid sum sequence {T_n (f)} is decreasing
Keyword: monotonicity, nonconcave, nonconvex, trapezoid sum