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who is this for ? this article is meant for anyone who read the last article on computing the surface area of parametric surfaces using a certain double integral , and who wants to practice this concept . you will compute the surface area of a torus ( a doughnut shape ) using this method , which requires no small amoun...
step 2 : compute the cross product to find the area of a parallelogram spanned by the two vectors you just found , the first step is to take their cross product . ( warning : this one gets hairy ) step 3 : find the magnitude of this cross product the cross product you just computed is a vector . in order to find the ar...
can we define the cross product in r^4 , r^5 , and so on , too ?
who is this for ? this article is meant for anyone who read the last article on computing the surface area of parametric surfaces using a certain double integral , and who wants to practice this concept . you will compute the surface area of a torus ( a doughnut shape ) using this method , which requires no small amoun...
let 's say the distance between the origin and the innermost part of this jelly filling is $ 3 $ . call this the `` outer radius '' . let 's also say the distance between the innermost part of the jelly filling and the glaze itself is $ 1 $ .
should n't the outer radius be 4 and inner radius 2 for this specific torus ?
who is this for ? this article is meant for anyone who read the last article on computing the surface area of parametric surfaces using a certain double integral , and who wants to practice this concept . you will compute the surface area of a torus ( a doughnut shape ) using this method , which requires no small amoun...
add up the areas of these pieces with a double integral : $ \begin { align } \iint_t \left| \dfrac { \partial \vec { \textbf { v } } } { \partial \bluee { t } } \times \dfrac { \partial \vec { \textbf { v } } } { \partial \rede { s } } \right|\ , \bluee { dt } \ , \rede { ds } \end { align } $ surface area of a torus t...
did you mean a glazed yeast-raised ring doughnut ?
how is this bowl used in a tea gathering ? as a guest , you would drink a small portion ( about 3–5 sips ) of unsweetened green tea from this bowl . imagine how it would feel in your hands . after the guests and the host have entered the tearoom , the host purifies all the utensils and makes a bowl of tea in front of h...
they wanted to import artists who could make the treasured korean style wares in japan . the troops abducted some 300 skilled korean artisans . these potters helped establish new pottery types in japan , including hagi ware such as this bowl with a crane .
do we know anything more about the korean artisans kidnapped in the ceramic war ?
how is this bowl used in a tea gathering ? as a guest , you would drink a small portion ( about 3–5 sips ) of unsweetened green tea from this bowl . imagine how it would feel in your hands . after the guests and the host have entered the tearoom , the host purifies all the utensils and makes a bowl of tea in front of h...
what is the design ? can you see the simple crane design ? this is the “ front ” of the bowl .
why was it all that special to have a crane pointing in your direction ?
hi , i 'm jared roop ! what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes ...
i ended up completing my b.s . in chemistry with a minor in mathematics . the undergraduate research that i performed paved the way for my masters degree in chemistry . as an undergrad , i studied how the presence of ionic liquids ( ils ) on the surface of an electrode could potentially enhance the electrogenerated che...
is it possible to have a career in forensics/analytical chemistry with just an undergrad degree ?
hi , i 'm jared roop ! what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes ...
what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes where alcohol or drugs ...
how to write resonance structures for organic compounds ?
hi , i 'm jared roop ! what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes ...
hi , i 'm jared roop ! what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes ...
since you 've said that you work with dwis and duids , how do you obtain the molecules for alcohol/drugs from someone 's biological fluids without them being tainted by something else in the body ?
hi , i 'm jared roop ! what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes ...
what do you work on ? i test biological fluids for the presence of alcohol and/or drugs , and then write reports of my results that can be used in a court of law . the types of cases i work include dwi ( driving while intoxicated ) , duid ( driving under the influence of drugs ) , violent crimes where alcohol or drugs ...
hello , can you explain how chemical equations are used in your area of employment ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
this is called “ prioritizing the passages. ” within a set of questions about a passage , skip the hardest questions until you have had a chance to grasp as much of the passage as possible . by the time you circle back to a difficult question after having done the other questions in the set , you may find it easier . w...
is there an official clock or something set up so i can keep track of time during the test ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
these are the questions that it may make sense to tackle last of all in a group . math test : prioritize remaining questions in ascending order of difficulty . that is , leave the most difficult questions for last .
is there any way to take only the math portion of the sat practice ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
by the time you circle back to a difficult question after having done the other questions in the set , you may find it easier . writing and language test : if you know from experience that time is tight for you on this part of the sat , then plan to skip a handful of the questions you are having the most trouble with i...
how different are subjects tests as opposed to the actual sat ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
top tip : when skipping questions , some students like to make a tiny little mark to the left of the number of the question on the answer sheet , which reduces the chances of accidentally mis-gridding the next answers . pass two : pick your battles this is when you choose which problems to tackle with your remaining ti...
can i take breaks in between passages or problems or will i not have enough time ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
if you find that evidence , you ’ ve found your answer . writing and language test : many students find the questions about logical sentence order ( eg : “ to make this paragraph most logical , sentence 3 should be placed ... ” ) to be more time consuming than basic grammar or punctuation questions . questions that see...
how many quotes is too many ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
work steadily in this way until you reach the end of the group of questions . top tip : when skipping questions , some students like to make a tiny little mark to the left of the number of the question on the answer sheet , which reduces the chances of accidentally mis-gridding the next answers . pass two : pick your b...
can i make mark at a question in sat booklet ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
these are the questions that it may make sense to tackle last of all in a group . math test : prioritize remaining questions in ascending order of difficulty . that is , leave the most difficult questions for last .
what is your biggest tip before going into the test on scoring higher with really low math capability or expertise ?
what is the two passes strategy ? the two passes strategy is a method you can use to structure your time strategically while working through a group of questions . it can help to ensure that you do n't run out of time before you have had the chance to work on the questions that are easier for you . pass one : pick the ...
attempt only those questions that you immediately know how to approach and solve . reading test : if you are finding the first paragraph of a passage difficult to understand , consider skipping the entire passage and coming back to it later if time allows . this is called “ prioritizing the passages. ” within a set of ...
well is there any suggestion or advice on how to read a very long passage faster ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
how are ph and active transport related ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
is ph affected differently for primary active transport than for secondary active transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
does ph even have an effect on active transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
for example , one such transporter channel , glut4 , is incredibly important in diabetes . glut4 is a glucose transporter found in fat and skeletal muscle . insulin triggers glut4 to insert into the membranes of these cells so that glucose can be taken in from the blood .
how can glut4 be found in fat ( triglyceride ) ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
transport | molecules moved | uses energy ? | example transporter/disease : - : | : - : | : - : | : - : simple diffusion | small , nonpolar | no | pulmonary edema facilitated diffusion | polar molecules , larger ions | no | glut4 / diabetes mellitus type ii primary active transport | molecules moving against their grad...
also the chart says `` secondary active transport : molecule going with + molecule going against gradient '' but should n't it say `` molecule going against gradient with + molecule going down its gradient '' ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
this can lead to soaring blood glucose levels which can cause heart disease , stroke , and kidney failure . active transport sometimes the body needs to move molecules against their gradient . this is known as moving “ uphill ” , and requires energy from the cell - imagine how much easier it is to shake the trail mix t...
what type of molecules does our body use ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
movement across a membrane and energy there are two major ways that molecules can be moved across a membrane , and the distinction has to do with whether or not cell energy is used . passive mechanisms like diffusion use no energy , while active transport requires energy to get done . diffusion : the simple and the fac...
how do you know which macromolecules are passive or active , and how do you know if they will go in or out ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units .
just to confirm my thoughts : the injection of insulin influences the glut-4 transport channel to allow glucose to pass through to the cell , correct ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
in type ii diabetes mellitus , cells do not respond as well to the presence of insulin , and so do not insert glut4 into their membranes . this can lead to soaring blood glucose levels which can cause heart disease , stroke , and kidney failure . active transport sometimes the body needs to move molecules against their...
can someone explain the difference between question # 1 and the blood lumen question ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
are endocytosis and exocytosis considered as active transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
like what exactly the `` active transport '' concept is ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
let 's review transport across a cell membrane is a tightly regulated process , because cell function is highly dependent on maintain strict concentrations of various molecules . when a molecule moves down its concentration gradient is it participating in passive transport ; moving up the concentration gradient require...
if the definition of active transport is the process which move particle against the gradient concentration , so are endocytosis and exocytosis form of active transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units .
how is lactate transported through the cell membrane ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
when a molecule moves down its concentration gradient is it participating in passive transport ; moving up the concentration gradient requires energy making it active transport . transport | molecules moved | uses energy ? | example transporter/disease : - : | : - : | : - : | : - : simple diffusion | small , nonpolar |...
if the molecules reach a higher concentration inside the cell than outside , which of these forms , if any , can still be used to transport molecules into the cell ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
what is the advantage of a cell using both active and passive transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
why would n't a cell just choose active transport ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
if the alveoli in our lungs fill with fluid ( pulmonary edema ) , the distance the gases must travel increases , and their transport decreases . facilitated diffusion is diffusion that is helped along ( facilitated by ) a membrane transport channel . these channels are glycoproteins ( proteins with carbohydrates attach...
is n't this membrane transport channel supposed to be an integral ( transmembrane ) protein ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
movement across a membrane and energy there are two major ways that molecules can be moved across a membrane , and the distinction has to do with whether or not cell energy is used . passive mechanisms like diffusion use no energy , while active transport requires energy to get done . diffusion : the simple and the fac...
but where 's the energy that is needed to facilitate digoxin inverting the role of the na/ca antiporter ?
transport across a cell membrane the cell membrane is one of the great multi-taskers of biology . it provides structure for the cell , protects cytosolic contents from the environment , and allows cells to act as specialized units . a membrane is the cell ’ s interface with the rest of the world - it ’ s gatekeeper , i...
atp is an energy molecule , and when hydrolysis happens , it gets broken down to release the energy that was stored in its chemical bonds . transport that directly uses atp for energy is considered primary active transport . in this case , that ’ s moving sodium from a concentration of 10mm to one of 145 mm .
no atp is being used if there 's no na/k pump doing primary active transport , right ?
a tribute to home , hearth and hounds when one thinks of sir edwin henry landseer , ra , many accomplishments come to mind . an english animal painter of mainly horses , dogs , stags and lions , landseer ’ s works became commonplace in the homes of victorian audiences , and his lion sculptures sit proudly in trafalgar ...
when landseer was given his first royal commission it was to paint victoria ’ s beloved spaniel , dash , when she was a princess , for her birthday . windsor castle in modern times follows landseer ’ s transition into royal pet painter , and the animals in the painting are afforded as much detail as the royal family th...
is windsor castle where the royal family lives today ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
one casualty of the violence and chaos was the destruction of thousands of works of religious art . iconoclasts ( breakers of likenesses/images ) stormed through churches , destroying every work of art they could get their hands on . how did heaven get to be so controversial ?
what is the symbolism of the figure being naked on both sides of this work of art ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
luther , however , insisted that salvation was in god ’ s hands , and all the believer had to do was to open up and have faith . as people became disillusioned with catholic teaching , they grew angry about the ways the catholic church became rich in money , art , and power . when reform became impossible and rebellion...
so the great schism ( eastern orthodox vs. roman catholic ) and the protestant reformation were two completely different splits of the catholic church ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the law and the gospel is lutheran because it represents cranach ’ s pictorial translation of luther ’ s unique understanding of salvation . the painting interprets the roles of law , good works , faith , and grace in the human relationship to god . essay by dr. bonnie noble note : the law and the gospel is frequently ...
ca n't this painting be seen as an allegory of law/grace in society itself apart from religion ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
how to get to heaven ? how exactly do you get to heaven ?
we chafe at or run away from authority , but acquiesce to kindness ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
he stands passively , stripped down to his soul , submitting to god ’ s mercy . left ( `` law '' ) side in the left foreground a skeleton and a demon force a frightened naked man into hell , as a group of prophets , including moses , point to the tablets of the law . the motifs on the left side of the composition are m...
why is a skeleton bad ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
in the law and the gospel ( below ) , two nude male figures appear on either side of a tree that is green and living on the “ gospel ” side to the viewer ’ s right , but barren and dying on the `` law '' side to the viewer ’ s left . six columns of bible citations appear at the bottom of the panel . right ( `` gospel '...
could someone tell me the six bible quotes that lie in the painting ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
how to get to heaven ? how exactly do you get to heaven ? good deeds ?
my biggest question is , through , the `` naked truth , '' how did that symbolize rebirth , or forgiveness of sins in heaven ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the motifs on the left side of the composition are meant to exemplify the idea that law alone , without gospel , can never get you to heaven . christ sits in judgment as adam and eve ( in the background ) eat the fruit and fall from grace . moses beholds these events from his vantage point toward the center of the pict...
and , are n't catholics baptized to forgive the first sins of adam and eve ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
instead , the law and gospel concerns two aspects of the relationship between humanity and god , a relationship based on human action on the one hand , and divine power on the other . the law and gospel describes events throughout the bible which reveal the dual aspect of god ’ s relationship to people . the law and th...
if you look closely at them you can see dead people on the ground and a cross with a serpent on it , do they have any significance ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
however , reform quickly became rebellion , as people began to question the power and practices of the catholic church , which had been the only church in western europe up until luther . the role of art a decisive difference between catholics and followers of luther was the question of how to get to heaven , and what ...
where was this piece of art originally made ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
how to get to heaven ? how exactly do you get to heaven ?
where was this woodcut made ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the painting interprets the roles of law , good works , faith , and grace in the human relationship to god . essay by dr. bonnie noble note : the law and the gospel is frequently called law and grace , a title which derives from a version of the painting in prague ( above ) , where the terms “ gesecz ” ( law ) and “ gn...
are the words `` gesecz '' and `` gnad '' used ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
in the law and the gospel ( below ) , two nude male figures appear on either side of a tree that is green and living on the “ gospel ” side to the viewer ’ s right , but barren and dying on the `` law '' side to the viewer ’ s left . six columns of bible citations appear at the bottom of the panel . right ( `` gospel '...
what is the significance/relevance of the 6 boxes of bible citations at the bottom of the painting ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the law and the gospel is lutheran because it represents cranach ’ s pictorial translation of luther ’ s unique understanding of salvation . the painting interprets the roles of law , good works , faith , and grace in the human relationship to god . essay by dr. bonnie noble note : the law and the gospel is frequently ...
who 's the demon in the painting law and grace ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the law and the gospel is lutheran because it represents cranach ’ s pictorial translation of luther ’ s unique understanding of salvation . the painting interprets the roles of law , good works , faith , and grace in the human relationship to god . essay by dr. bonnie noble note : the law and the gospel is frequently ...
does law here mean biblical teachings and grace god 's forgiveness ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
the law and the gospel is the single most influential image of the lutheran reformation . the reformation , initiated by martin luther in 1517 , was originally an attempt to reform the catholic church . however , reform quickly became rebellion , as people began to question the power and practices of the catholic churc...
why was church more powerful than a monarch ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
luther despised and rejected the catholic idea that good deeds , what he called “ good works , ” could play any role in salvation . in the law and the gospel ( below ) , two nude male figures appear on either side of a tree that is green and living on the “ gospel ” side to the viewer ’ s right , but barren and dying o...
in the painting 'the law and the gospel ' who are the figures on the side ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
moses beholds these events from his vantage point toward the center of the picture , his white tablets standing out against the saturated orange robe and the deep green tree behind him , literally highlighting the association of law , death , and damnation . taken together , these motifs demonstrate that law leads ines...
was the man sinful and needed to go to hell ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
when reform became impossible and rebellion the only course of action , furious , frustrated believers directed their anger at works of art , an easy and powerful target . other reformers followed luther ’ s example and staged rebellions against the catholic church . some reformers took a strong position against religi...
what did the catholic church do to `` advertise '' that their church was correct ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
luther , however , insisted that salvation was in god ’ s hands , and all the believer had to do was to open up and have faith . as people became disillusioned with catholic teaching , they grew angry about the ways the catholic church became rich in money , art , and power . when reform became impossible and rebellion...
how did the catholic church feel about the publishing of this painting ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
how to get to heaven ? how exactly do you get to heaven ?
where there a specific set of colors that protestans did n't use ?
how to get to heaven ? how exactly do you get to heaven ? good deeds ? can you get yourself to heaven on your own merit or do you have to sit back and let god do the work ? these questions caused international controversy , mass looting , vandalism , and killing in the sixteenth century . one casualty of the violence a...
he stands passively , stripped down to his soul , submitting to god ’ s mercy . left ( `` law '' ) side in the left foreground a skeleton and a demon force a frightened naked man into hell , as a group of prophets , including moses , point to the tablets of the law . the motifs on the left side of the composition are m...
what does the white construction on the left side represents ?
opening / ceremonies when looking at stadia ii , first try to isolate the black lines from the rest of the composition . does this centrifugal structure remind you of a sports arena , an amphitheater or opera house ? perhaps a political chamber ? it could denote all of these , broadly invoking our experiences as indivi...
stadiums and capital buildings can represent triumph , pride and celebration , but they are also common targets for bombings and acts of terror , which are often motivated by a comparable degree of zealousness and ideological fervor . process mehretu ’ s working process begins with the projection of maps and diagrams o...
clearly the artist intended to make many of her shapes look very similar to actual flags or recognizable images , but did she ever sneak real images into her work ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
we have some low-order terms and constant coefficients , but when we use big-θ notation , we ignore them . in big-θ notation , quicksort 's worst-case running time is $ \theta ( n^2 ) $ . best-case running time quicksort 's best case occurs when the partitions are as evenly balanced as possible : their sizes either are...
as i understand worst case scenario is when every element will be compared at least once even if array of size 2 is sorted but is n't our implementation of the for loop compares every element anyway ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced .
how come , in the worst-case tree , it goes : 3c ( not shown ) 2c _0_ ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
worst-case running time when quicksort always has the most unbalanced partitions possible , then the original call takes $ cn $ time for some constant $ c $ , the recursive call on $ n-1 $ elements takes $ c ( n-1 ) $ time , the recursive call on $ n-2 $ elements takes $ c ( n-2 ) $ time , and so on . here 's a tree of...
should n't there be : 3c 2c c 0 ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
so the recursive calls will be on subarrays of sizes 0 and $ n-1 $ . as in merge sort , the time for a given recursive call on an $ n $ -element subarray is $ \theta ( n ) $ . in merge sort , that was the time for merging , but in quicksort it 's the time for partitioning .
explain the complexities of quick sort ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time .
in the average case why is it easier to assume it is log to the base 4 ?
how is it that quicksort 's worst-case and average-case running times differ ? let 's start by looking at the worst-case running time . suppose that we 're really unlucky and the partition sizes are really unbalanced . in particular , suppose that the pivot chosen by the partition function is always either the smallest...
in big-θ notation , quicksort 's worst-case running time is $ \theta ( n^2 ) $ . best-case running time quicksort 's best case occurs when the partitions are as evenly balanced as possible : their sizes either are equal or are within 1 of each other . the former case occurs if the subarray has an odd number of elements...
can someone give an example of each of the best case scenarios ?
hominine fossils and paleoarchaeologists until the 1950s , european scientists believed that homo sapiens evolved in europe , or possibly in asia , about 60,000 years ago . since then , excavation of fossil bones in east africa , pioneered by mary and louis leakey , has revealed that homo sapiens may have emerged in af...
they more or less agree on three main categories of species before homo sapiens ; these are australopithecus ( 2–4 million years ago ) , homo habilis ( 1.8–2.5 million years ago ) , and homo erectus ( 2–.4 million years ago ) . clearly , some of these species must have overlapped during hominine evolution . what scient...
why the change from hominid to hominine ?
hominine fossils and paleoarchaeologists until the 1950s , european scientists believed that homo sapiens evolved in europe , or possibly in asia , about 60,000 years ago . since then , excavation of fossil bones in east africa , pioneered by mary and louis leakey , has revealed that homo sapiens may have emerged in af...
she initiated a camp at laetoli , 35 miles from olduvai , where the soil dated to 3.59–3.77 million years old . there , in 1976 , she found an astonishing set of hominine footprints preserved in volcanic ash , more evidence that hominines of that time walked upright . mary leakey received honorary degrees from many uni...
why would discovering footprints in ash determine bipedalism ?
hominine fossils and paleoarchaeologists until the 1950s , european scientists believed that homo sapiens evolved in europe , or possibly in asia , about 60,000 years ago . since then , excavation of fossil bones in east africa , pioneered by mary and louis leakey , has revealed that homo sapiens may have emerged in af...
she initiated a camp at laetoli , 35 miles from olduvai , where the soil dated to 3.59–3.77 million years old . there , in 1976 , she found an astonishing set of hominine footprints preserved in volcanic ash , more evidence that hominines of that time walked upright . mary leakey received honorary degrees from many uni...
how would footprints be able to show whether or not early hominines walked upright ?
the maya are a culturally affiliated people that continue to speak their native languages and still often use the ancient 260-day ritual calendar for religious practices . the ancient maya were united by belief systems , cultural practices that included a distinct architectural style , and a writing system . they were ...
the maya are a culturally affiliated people that continue to speak their native languages and still often use the ancient 260-day ritual calendar for religious practices . the ancient maya were united by belief systems , cultural practices that included a distinct architectural style , and a writing system .
are the mayans like the tame versions of the aztecs ?
man ray and the gift the american artist man ray ( born emanuel radnitzky ) arrived in paris in 1921 . within a year , the artist had his first solo show at a parisian gallery . among the works he exhibited was one unlisted sculpture : the object , which he called the gift , was an everyday flatiron with brass tacks gl...
another object by man ray—a metronome with a photograph of a woman 's open eye clipped to it—adds an ominous sense of relentless observation to an ordinary musician 's timing instrument . man ray 's title of the piece , object to be destroyed , seems mysterious at first . but when we consider the psychological effects ...
even if a sculpture were named `` object to be destroyed '' , if it 's presented in an exhibition , who would be dumb enough to take that title seriously and go ahead and smash the object ?
man ray and the gift the american artist man ray ( born emanuel radnitzky ) arrived in paris in 1921 . within a year , the artist had his first solo show at a parisian gallery . among the works he exhibited was one unlisted sculpture : the object , which he called the gift , was an everyday flatiron with brass tacks gl...
another object by man ray—a metronome with a photograph of a woman 's open eye clipped to it—adds an ominous sense of relentless observation to an ordinary musician 's timing instrument . man ray 's title of the piece , object to be destroyed , seems mysterious at first . but when we consider the psychological effects ...
was n't `` object to be destroyed '' a clear allusion to the all-seeing-eye symbol that man ray , or anyone , would be familiar with if they 've seen a us dollar bill ?
man ray and the gift the american artist man ray ( born emanuel radnitzky ) arrived in paris in 1921 . within a year , the artist had his first solo show at a parisian gallery . among the works he exhibited was one unlisted sculpture : the object , which he called the gift , was an everyday flatiron with brass tacks gl...
in his autobiography , man ray recounts that a group of students visited the exhibition and caused a scene , during which one of them walked off with the sculpture , and it was never seen again . numerous historians , however , state that during the exhibition one of the students took the title literally and smashed it...
who would take a hammer to an exhibition ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
the tail makes the transcript more stable and helps it get exported from the nucleus to the cytosol . rna splicing the third big rna processing event that happens in your cells is rna splicing . in rna splicing , specific parts of the pre-mrna , called introns are recognized and removed by a protein-and-rna complex cal...
why in the last example , using an actual rna molecule , is methionine coded by the codon auc ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
the tail makes the transcript more stable and helps it get exported from the nucleus to the cytosol . rna splicing the third big rna processing event that happens in your cells is rna splicing . in rna splicing , specific parts of the pre-mrna , called introns are recognized and removed by a protein-and-rna complex cal...
why are the introns referred to as `` junk '' ( rna splicing section ) ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
if the spliceosome fails to remove an intron , an mrna with extra `` junk '' in it will be made , and a wrong protein is will get produced during translation . alternative splicing why splice ? we do n't know for sure why splicing exists , and in some ways , it seems like a wasteful system .
why does the introns exist at the first place just waiting to be splice ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
we do n't know for sure why splicing exists , and in some ways , it seems like a wasteful system . however , splicing does allow for a process called alternative splicing , in which more than one mrna can be made from the same gene . through alternative splicing , we ( and other eukaryotes ) can sneakily encode more di...
if the cell can rearrange any sets of codons by splicing out introns , does the sequence of the dna ( which is transcribed in the mrna ) even matter then ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
during translation , the mrna sequence is read in groups of three nucleotides . each three-letter `` word '' corresponds to an amino acid that 's added to a polypeptide ( protein or protein subunit ) . if an rna has n't been spliced , it will contain extra nucleotides that it should n't , leading to an incorrect protei...
should n't the protein be translated as per usual since introns are non-coding ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
the tail makes the transcript more stable and helps it get exported from the nucleus to the cytosol . rna splicing the third big rna processing event that happens in your cells is rna splicing . in rna splicing , specific parts of the pre-mrna , called introns are recognized and removed by a protein-and-rna complex cal...
what happens if a new slice acceptor site is created on the 1st intron ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
the tail makes the transcript more stable and helps it get exported from the nucleus to the cytosol . rna splicing the third big rna processing event that happens in your cells is rna splicing . in rna splicing , specific parts of the pre-mrna , called introns are recognized and removed by a protein-and-rna complex cal...
what happens to the new messenger rna created ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
if the spliceosome fails to remove an intron , an mrna with extra `` junk '' in it will be made , and a wrong protein is will get produced during translation . alternative splicing why splice ? we do n't know for sure why splicing exists , and in some ways , it seems like a wasteful system .
from the beginning , what is the correct order of processes - capping , splicing & tailing ?
key points : when an rna transcript is first made in a eukaryotic cells , it is considered a pre-mrna and must be processed into a messenger rna ( mrna ) . a 5 ' cap is added to the beginning of the rna transcript , and a 3 ' poly-a tail is added to the end . in splicing , some sections of the rna transcript ( introns ...
however , splicing does allow for a process called alternative splicing , in which more than one mrna can be made from the same gene . through alternative splicing , we ( and other eukaryotes ) can sneakily encode more different proteins than we have genes in our dna . in alternative splicing , one pre-mrna may be spli...
i was wondering , how is it possible for some genes in eukaryotes to code for various types of polypeptides ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
18-50 . `` portrait bust of a man [ roman ] '' in the metropolitan museum of art's heilbrunn timeline of art history
would this bust have been painted at one point and thus have perhaps looked more lifelike ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
d. jackson , “ verism and the ancestral portrait , ” greece & amp ; rome 34.1 ( 1987 ) :32-47 . d. e. e. kleiner , roman sculpture ( new haven : yale university press , 1994 ) . m. papini , antichi volti della repubblica : la ritrattistica in italia centrale tra iv e ii secolo a.c. 2 v. ( rome : “ l'erma ” di bretschne...
i know we learned earlier that that was the case with greek sculpture and i wondered if that carries over to ancient roman as well ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
18-50 . `` portrait bust of a man [ roman ] '' in the metropolitan museum of art's heilbrunn timeline of art history
what is the function of `` portrait bust of a man [ roman } ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
the figure is frontal without any hint of dynamism or emotion—this sets the portrait apart from some of its near contemporaries . the portrait head is characterized by deep wrinkles , a furrowed brow , and generally an appearance of sagging , sunken skin—all indicative of the veristic style of roman portraiture . veris...
is hyperrealism a style so realistic that it is unrealistically realistic ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
d. jackson , “ verism and the ancestral portrait , ” greece & amp ; rome 34.1 ( 1987 ) :32-47 . d. e. e. kleiner , roman sculpture ( new haven : yale university press , 1994 ) . m. papini , antichi volti della repubblica : la ritrattistica in italia centrale tra iv e ii secolo a.c. 2 v. ( rome : “ l'erma ” di bretschne...
in the paragraphs , did it ever mention what materials were used in creating this sculpture of the face ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
flower , ancestor masks and aristocratic power in the roman republic ( oxford : clarendon press , 1996 ) . e. gruen , culture and national identity in republican rome ( ithaca : cornell university press , 1992 ) . d. jackson , “ verism and the ancestral portrait , ” greece & amp ; rome 34.1 ( 1987 ) :32-47 .
how can such rites be relat-ed to republican ideals ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
in the case of aristocratic families these wax masks were used at subsequent funerals so that an actor might portray the deceased ancestors in a sort of familial parade ( polybius history 6.53.54 ) . the ancestor cult , in turn , influenced a deep connection to family . for late republican politicians without any famou...
was it used as a portrait to commemorate a noble ancestor like the function of images ?
seemingly wrinkled and toothless , with sagging jowls , the face of a roman aristocrat stares at us across the ages . in the aesthetic parlance of the late roman republic , the physical traits of this portrait image are meant to convey seriousness of mind ( gravitas ) and the virtue ( virtus ) of a public career by dem...
d. jackson , “ verism and the ancestral portrait , ” greece & amp ; rome 34.1 ( 1987 ) :32-47 . d. e. e. kleiner , roman sculpture ( new haven : yale university press , 1994 ) . m. papini , antichi volti della repubblica : la ritrattistica in italia centrale tra iv e ii secolo a.c. 2 v. ( rome : “ l'erma ” di bretschne...
by the way , was this sculpture painted like the ancient greek sculptures ?
the dado panel from the courtyard of the royal palace of mas ’ ud iii is a fine example of the artistic preferences of the ghaznavid dynasty , which ruled the indian subcontinent from 977 to 1186 c.e . a dado panel is a two to three foot lower part of a wall , typically decorated in a variety of media . this dado panel...
ghazni has only recently attracted scholars with the discovery of a great-stylized minaret , also dating to mas ’ ud iii ’ s reign ( above ) . persian poetry although the kufic inscription on this panel has not been translated , translations of other sections of the frieze contain a persian poem that praised the ghazna...
if kufic script is legible to scholars , then why has n't someone translated the inscription on this panel ?
the dado panel from the courtyard of the royal palace of mas ’ ud iii is a fine example of the artistic preferences of the ghaznavid dynasty , which ruled the indian subcontinent from 977 to 1186 c.e . a dado panel is a two to three foot lower part of a wall , typically decorated in a variety of media . this dado panel...
the top register contains a kufic inscription , which would have been part of a continuous inscription that encircled the entire courtyard across the tops of multiple adjacent panels . kufic script is a style of writing arabic popular from the seventh century c.e . until the late tenth century c.e. , as seen in the pag...
how can you tell the difference between persian and arabic script ?
what is linear regression ? when we see a relationship in a scatterplot , we can use a line to summarize the relationship in the data . we can also use that line to make predictions in the data . this process is called linear regression . want to see an example of linear regression ? check out this video . fitting a li...
step 1 : find the slope . this line goes through $ ( 0,40 ) $ and $ ( 10,35 ) $ , so the slope is $ \dfrac { 35-40 } { 10-0 } = -\dfrac12 $ . step 2 : find the $ y $ -intercept .
the correlation for these variables was found to be r=-0.79 , what is this telling us ?
what is linear regression ? when we see a relationship in a scatterplot , we can use a line to summarize the relationship in the data . we can also use that line to make predictions in the data . this process is called linear regression . want to see an example of linear regression ? check out this video . fitting a li...
what is linear regression ? when we see a relationship in a scatterplot , we can use a line to summarize the relationship in the data .
how would you apply linear regression to a data table ?
key points a production technology is the specific combination of labor , physical capital , and technology that makes up a particular method of production . in the long run , firms can choose their production technology , so all costs become variable costs . economies of scale refers to a situation where the average c...
since all three of these production methods produce the same thing—one cleaned-up park—a profit-seeking firm will choose the production technology that is least expensive , given the prices of labor and machines . || three ways to clean a park || | | | - | - | - production technology a | 10 workers | 2 machines product...
why is the cost of production falling as the quantity of output rises ?
key points a production technology is the specific combination of labor , physical capital , and technology that makes up a particular method of production . in the long run , firms can choose their production technology , so all costs become variable costs . economies of scale refers to a situation where the average c...
which method should the firm choose now ? automobile manufacturing is an industry subject to significant economies of scale . suppose there are four domestic auto manufacturers , but the demand for domestic autos is no more than 2.5 times the quantity produced at the bottom of the lrac curve .
is n't the diagram from economies of scale in contradiction with the law of supply ?
key points a production technology is the specific combination of labor , physical capital , and technology that makes up a particular method of production . in the long run , firms can choose their production technology , so all costs become variable costs . economies of scale refers to a situation where the average c...
why do you think that as the cost of labor rises from example one to two to three , the firm will choose to substitute away from labor and use more machinery ? || total cost with rising labor costs || | | | | - | - | - | - example one : workers cost \ $ 40 , machines cost \ $ 80 | | | | | labor cost | machine cost | to...
if the average cost of production decreases with each incremental unit produced , should n't the price at which it 's being sold decrease as well ?
|| : - : | magnitude of $ ( a , b ) $ | $ \mid\mid ! ! ! ( a , b ) ! ! \mid\mid=\sqrt { a^2+b^2 } $ | direction of $ ( a , b ) $ | $ \theta=\tan^ { -1 } \left ( \dfrac { b } { a } \right ) $ | components from magnitude $ \mid\mid ! ! ! \vec u ! ! \mid\mid $ and direction $ \theta $ | $ \bigg ( \mid\mid ! ! ! \vec u ! !...
practice set 2 : direction from components to find the direction of a vector from its components , we take the inverse tangent of the ratio of the components : $ \theta=\tan^ { -1 } \left ( \dfrac { b } { a } \right ) $ this results from using trigonometry in the right triangle formed by the vector and the $ x $ -axis ...
do you add 270 degrees to the calculator output in the third quadrant ?
|| : - : | magnitude of $ ( a , b ) $ | $ \mid\mid ! ! ! ( a , b ) ! ! \mid\mid=\sqrt { a^2+b^2 } $ | direction of $ ( a , b ) $ | $ \theta=\tan^ { -1 } \left ( \dfrac { b } { a } \right ) $ | components from magnitude $ \mid\mid ! ! ! \vec u ! ! \mid\mid $ and direction $ \theta $ | $ \bigg ( \mid\mid ! ! ! \vec u ! !...
practice set 2 : direction from components to find the direction of a vector from its components , we take the inverse tangent of the ratio of the components : $ \theta=\tan^ { -1 } \left ( \dfrac { b } { a } \right ) $ this results from using trigonometry in the right triangle formed by the vector and the $ x $ -axis ...
in quadrant 4 why are we adding 360 instead of subtracting 360 ?
|| : - : | magnitude of $ ( a , b ) $ | $ \mid\mid ! ! ! ( a , b ) ! ! \mid\mid=\sqrt { a^2+b^2 } $ | direction of $ ( a , b ) $ | $ \theta=\tan^ { -1 } \left ( \dfrac { b } { a } \right ) $ | components from magnitude $ \mid\mid ! ! ! \vec u ! ! \mid\mid $ and direction $ \theta $ | $ \bigg ( \mid\mid ! ! ! \vec u ! !...
! \mid\mid\sin ( \theta ) \bigg ) $ | what are vector magnitude and direction ? we are used to describing vectors in component form . for example , $ ( 3,4 ) $ .
are there situations in which components are preferable to unit vectors ( i-hats and j-hats ) and vice versa ?