One Observation behind Two-Envelope Puzzles
نویسندگان
چکیده
1. A. Aksoy and M. Martelli, Mixed partial derivatives and Fubini’s theorem, College Math. J. 33 (2002) 126–130. 2. D. D. Ang, K. Schmitt, and L. K. Vy, A multidimensional analogue of the Denjoy-Perron-HenstockKurzweil integral, Bull. Belg. Math. Soc. Simon Stevin 4 (1997) 355–371. 3. M. W. Botsko, An elementary proof that a bounded a.e. continuous function is Riemann integrable, this MONTHLY 65 (1988) 249–252. 4. C. Goffman, Real Functions, Rinehart, New York, 1953. 5. R. A. Gordon, The Integrals of Lebesgue, Denjoy, Perron, and Henstock, Graduate Studies in Mathematics, vol. 4, American Mathematical Society, Providence, 1994. 6. M. Martelli and M. Dang, The derivative of a continuous nonconstant function, Appl. Math. Let. 7 (1994) 81–84. 7. E. Talvila, Necessary and sufficient conditions for differentiability under the integral sign, this MONTHLY 108 (2001) 544–549.
منابع مشابه
One Observation behind Two Puzzles
In two famous and popular puzzles a participant is required to compare two numbers of which she is shown only one. We show that there is one simple principle behind these puzzles. In particular this principle sheds new light on the paradoxical nature of the first puzzle. According to this principle the ranking of several random variables must depend on at least one of them, except for the trivi...
متن کاملA Hysteretic Two-phase Supply Modulator for Envelope Tracking RF Power Amplifiers
In this paper a two-phase supply modulator suitable for envelope tracking power amplifier is presented. The designed supply modulator has the linear assisted switching architecture. Two-phase architecture is used in order to reduce the output switching ripples. The proposed architecture uses hysteretic control instead of pulse width modulation (PWM) which significantly reduces the circuit compl...
متن کاملThe impact of using problem-solving puzzles on Iranian intermediate EFL learners' lexical knowledge
This study tried to investigate the impact of using problem-solving puzzles onIranian Intermediate EFL learners' lexical knowledge. At first a homogenoussample of 30 Intermediate EFL learners attending in the third grade of Shahedhigh school in Lahijan were selected and they were randomly divided into twogroups, as experimental group and control group. In the first session, the pretestwas admin...
متن کاملMachine-Made Puzzles and Hand-Made Puzzles
Originally puzzles were not for recreation, but serious questions you might be killed if you couldn’t solve them. But in modern times, puzzles had become a sort of recreation, decreasing the seriousness and religiousness gradually. Now, the ‘rule creators’ of puzzles began to attract notice. I, as a rule creator, published a book, Kyoto University Student, Higashida’s Puzzles. I’ll show several...
متن کاملبررسی عملکرد پوششهای گراولی و مصنوعی در زهکشهای زیرزمینی
In this research, the hydraulic behavior of two kinds of envelopes including synthetic envelope, PP450 and gravel envelope with USBR standard in two soil tank models with silty loam texture was investigated. Three water heads including 55, 75 and 105 cm (water logging) from drain level were used. The discharge of pipe drain in the steady state condition for gravel envelope and at 55, 75 and 105...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- The American Mathematical Monthly
دوره 111 شماره
صفحات -
تاریخ انتشار 2004