Benford's Law For Coefficients of Modular Forms and Partition Functions

Here we prove that Benford's law holds for coefficients of an infinite class of modular forms. Expanding the work of Bringmann and Ono on exact formulas for harmonic Maass forms, we derive the necessary asymptotics. This implies that the unrestricted partition function $p(n)$, as well as other natural partition functions, satisfy Benford's law.Comment: 10 page

The science education website: making Judgements about science understandings

Περιέχει το πλήρες κείμενοThis project involved developing a lively, interactive, visually interesting website for university students enrolled in the subjects: Primary Science Education and Science Education for Young Children. This site allows students to view experiments through video, therefore expanding opportunities to develop their science concepts and to gain practice in identifying children’s level of science understanding. Flexible delivery of all or part of subjects at tertiary level is proving to be increasingly attractive to students, often to allow for work or home commitments. This site supplemented lectures and provided intensive work for pre-service teachers in the key ‘graduate quality’ of assessment of children’s science work. It provided students with access to video clips and stills of participants engaged in science investigations and key understandings about assessment of this work. These images provided the opportunity to: observe people talking about their science ideas, gauge the level of science understanding, design lesson plans, comment on safety procedures, and make judgements about pedagogy. It provided feedback systems so that students could self-select for revision of key ideas and reflect on their practice. This paper reports on feedback gathered through online forms, email feedback and structured interviews and documents the response to this innovative initiative currently located at http://www.maps.jcu.edu.au/develop/hickey. Research on the effectiveness of websites is critical considering that some sites can be problematic in that they are difficult to navigate, are overloaded with text and lack those very attributes which make the web attractive in the first place. This paper provides a critical analysis of which parts of this website students find appealing and interesting and how it supports productive learning

Small Talk

Snow on the ground brings to mind hilarious sport on Union Hill. One mis-step and the chain reaction starts. Wonder what\u27s the record of students swept off their feet in one plunge .... Another weather tip-when you\u27re trudging to class and convinced you\u27ll freeze on the way, remember that the weathermen say winters are getting milder

Trends

Spring is all wrapped up in synthetics. Why? Because synthetic fibers can be produced under better control and to more precise specifications than natural fibers. Because textile creators can fit the fiber to the use with greater efficiency with synthetics

She Cooks in a Big Way

A variety of experiences have taught Miss Lenore Sullivan of the Department of Institution Management of Iowa State, the techniques of quantity cookery

Seniors Decide

Spring means graduation time- time for every senior woman to decide between marriage an d a professional career. This decision is probably one of the biggest seniors have ever faced

She Doesn\u27t Like Surprises... and Neither Does He

Because wedding days are the result of the planning of two different personalities, many times things happen which aren\u27t exactly what one of the parties may have had in mind. It is at this time that the bride may decide that she doesn\u27t like surprises- at least not those that have to do with the wedding and newly married life

Trends

Picture your favorite feminine type. Maybe she is your pinmate or steady, maybe she is just \u27the girl of your dreams\u27- but, picture her dressed up in a good dress, high heels, purse, hat and gloves, in these situations and vote accordingly. That was the explanation given to members of twelve social fraternities and fifteen independent groups of men on campus by three research workers to find what they do or do not like for Her to wear at ISC

Date Doing in Ames

Smooth ice, waltz-time music broadcast over the loudspeaker, a pair of newly-sharpened skates, and a bright winter day- all added up to fun on Lake LaVerne. During the evenings from eight to ten, large beacons from the top of the Memorial Union lighted the lake. A skating lifeguard watched out the window of the warming hut for safety purposes seven days a week

Tradition Dictates

The clock in the Campanile strikes midnight on a Saturday evening and a guy kisses a gal. This scene could almost be from a novel, yet it is only one of the traditions at Iowa State. Thus a girl becomes a co-ed- which is supposed to help a freshman woman to become less green, a sophomore to become more smooth, a junior to be more tactful and have a special polish, and a senior woman to acquire a true woman-of-the-world outlook or at least so states the Daily dated 1940