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Faculty Sections / অযথা আবেগের কারণ
« on: October 16, 2018, 03:53:07 PM »
১. অসময়ে খাওয়া, প্রধান কারণ; ২. অসময়ে অন্যান্য কাজ করা, যেমন ঘুম... ইত্যাদি।
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Faculty Sections / পুণ্যের ৭ টি অবস্থা
« on: October 16, 2018, 03:49:46 PM »
১. পুণ্য লাভের উদ্দেশে পুণ্য করা; ২. অবশ্য কর্তব্য হিসেবে পুণ্য করা; ৩. পুণ্য-এর খাতিরে পুণ্য করা; ৪. অভ্যাসের দাস হয়ে পুণ্য করা; ৫. পুণ্যে তৃপ্তি লাভ করা; ৬. পুণ্য বিস্তারের চেষ্টা; ৭. পুণ্যে ফিরিশতা-সদৃশ হওয়া।
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Faculty Sections / পাপ দূষণের ৭ টি অবস্থা
« on: October 16, 2018, 03:36:32 PM »
১. পাপকে ঘৃণা করা; ২. পাপকে খারাপ মনে করা, তবে ঘৃণা না করা; ৩. পাপকে খারাপ মনে না করা এবং তা ভালও মনে না করা; ৪. পাপকে পছন্দ করা; ৫. পাপ করা; ৬. অন্যকে পাপে উৎসাহ দেয়া; ৭. শয়তানের বিকাশ হওয়া।
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Faculty Sections / যে ১২ টি কারনে জ্ঞান থাকা সত্তেও কেউ মূর্খের মত আচরণ করতে পারে
« on: October 16, 2018, 03:26:06 PM »
১. লোভ; ২. রাগ; ৩.খুবই প্রয়োজন; ৪.স্বাস্থ্য ভঙ্গ; ৫.অতিরিক্ত ভয়; ৬. অতিরিক্ত ভালবাসা; ৭. অতি উচ্চাকাঙ্ক্ষা; ৮. অত্যধিক হতাশা; ৯. জিদ; ১০. সিমাতিরিক্ত কামভাব; ১১. কামভাবের স্বাভাবিক কমতি; ১২. উত্তরাধিকারী।
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Faculty Sections / পুণ্য কত প্রকার ?
« on: October 16, 2018, 03:14:48 PM »
তিন প্রকারঃ ১. অন্তরের পুণ্য, এটাই আসল; ২. জিহবার মাধ্যমে পুণ্য; ৩. অঙ্গ-প্রত্যঙ্গের পুণ্য।
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Faculty Sections / পাপ কত প্রকার?
« on: October 16, 2018, 03:10:52 PM »
তিন প্রকারঃ ১. অন্তরের পাপ, আসল পাপ; ২. জিহবার পাপ; ৩. হাত-পা ও অন্যান্য অঙ্গের পাপ।
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Faculty Sections / How do we stay polite when we are angry?
« on: October 16, 2018, 11:40:31 AM »
We can use manners as our shield to disguise our anger. We can take a few deep breaths. If we are very angry, then we can just keep our mouth shut. Then we can excuse ourselves politely and leave until we can recompose ourselves.
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Faculty Sections / Beauty and mathematical information theory
« on: October 16, 2018, 11:03:52 AM »In the 1970s, Abraham Moles and Frieder Nake analyzed links between beauty, information processing, and information theory. In the 1990s, Jürgen Schmidhuber formulated a mathematical theory of observer-dependent subjective beauty based on algorithmic information theory: the most beautiful objects among subjectively comparable objects have short algorithmic descriptions (i.e., Kolmogorov complexity) relative to what the observer already knows. Schmidhuber explicitly distinguishes between beautiful and interesting. The latter corresponds to the first derivative of subjectively perceived beauty: the observer continually tries to improve the predictability and compressibility of the observations by discovering regularities such as repetitions and symmetries and fractal self-similarity. Whenever the observer's learning process (possibly a predictive artificial neural network) leads to improved data compression such that the observation sequence can be described by fewer bits than before, the temporary interestingness of the data corresponds to the compression progress, and is proportional to the observer's internal curiosity reward.
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Faculty Sections / Connections of music to mathematics
« on: October 16, 2018, 10:50:35 AM »
Set theory:
Musical set theory uses the language of mathematical set theory in an elementary way to organize musical objects and describe their relationships. To analyze the structure of a piece of (typically atonal) music using musical set theory, one usually starts with a set of tones, which could form motives or chords. By applying simple operations such as transposition and inversion, one can discover deep structures in the music. Operations such as transposition and inversion are called isometries because they preserve the intervals between tones in a set.
Abstract algebra:
Expanding on the methods of musical set theory, some theorists have used abstract algebra to analyze music. For example, the pitch classes in an equally tempered octave form an abelian group with 12 elements. It is possible to describe just intonation in terms of a free abelian group.
Transformational theory is a branch of music theory developed by David Lewin. The theory allows for great generality because it emphasizes transformations between musical objects, rather than the musical objects themselves.
Theorists have also proposed musical applications of more sophisticated algebraic concepts. The theory of regular temperaments has been extensively developed with a wide range of sophisticated mathematics, for example by associating each regular temperament with a rational point on a Grassmannian.
The chromatic scale has a free and transitive action of the cyclic group {\displaystyle \mathbb {Z} /12\mathbb {Z} } {\mathbb {Z}}/12{\mathbb {Z}}, with the action being defined via transposition of notes. So the chromatic scale can be thought of as a torsor for the group {\displaystyle \mathbb {Z} /12\mathbb {Z} } {\mathbb {Z}}/12{\mathbb {Z}}.
Real and complex analysis:
Real and complex analysis have also been made use of, for instance by applying the theory of the Riemann zeta function to the study of equal divisions of the octave.
Musical set theory uses the language of mathematical set theory in an elementary way to organize musical objects and describe their relationships. To analyze the structure of a piece of (typically atonal) music using musical set theory, one usually starts with a set of tones, which could form motives or chords. By applying simple operations such as transposition and inversion, one can discover deep structures in the music. Operations such as transposition and inversion are called isometries because they preserve the intervals between tones in a set.
Abstract algebra:
Expanding on the methods of musical set theory, some theorists have used abstract algebra to analyze music. For example, the pitch classes in an equally tempered octave form an abelian group with 12 elements. It is possible to describe just intonation in terms of a free abelian group.
Transformational theory is a branch of music theory developed by David Lewin. The theory allows for great generality because it emphasizes transformations between musical objects, rather than the musical objects themselves.
Theorists have also proposed musical applications of more sophisticated algebraic concepts. The theory of regular temperaments has been extensively developed with a wide range of sophisticated mathematics, for example by associating each regular temperament with a rational point on a Grassmannian.
The chromatic scale has a free and transitive action of the cyclic group {\displaystyle \mathbb {Z} /12\mathbb {Z} } {\mathbb {Z}}/12{\mathbb {Z}}, with the action being defined via transposition of notes. So the chromatic scale can be thought of as a torsor for the group {\displaystyle \mathbb {Z} /12\mathbb {Z} } {\mathbb {Z}}/12{\mathbb {Z}}.
Real and complex analysis:
Real and complex analysis have also been made use of, for instance by applying the theory of the Riemann zeta function to the study of equal divisions of the octave.