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how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | why were so many different calendars introduced in the first place and why does n't everyone just use the same one now ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | so is life basically all numbers ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other ... | in the picture at the beginning , when was the french calendar created ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | these are abbreviations of the latin word `` circa '' which means around , or approximately . we use this before a date to indicate that we do not know exactly when something happened , so c. 400 b.c.e . means approximately 400 years before the common era . | for when identifying artworks on the exam ( frqs ) , do we need to know the exact date or is just century okay ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . | how do people now know when jesus was born ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | circa ? often dates will be preceded with a `` c. '' or a `` ca . '' these are abbreviations of the latin word `` circa '' which means around , or approximately . | why do historians prefer periods rather than dates ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | why is art such an important part of our history and what is the real story ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | which stands for `` before the common era '' and c.e . for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . | what defines the common era ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other ... | for the chinese calendar , what does a cycle represent ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | which stands for `` before the common era '' and c.e . for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . | what exactly makes the , `` common era , '' the common era ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | which stands for `` before the common era '' and c.e . for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . | what is the common era supposed to be ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | how many calendars were made before the current calendar we have today ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | how many calendars are there as of today ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | how long is a generation ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | i do n't understand ... if you 're already using a calendar that revolves around the birth of jesus , why is there a point in changing bc/ad ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . | could we change the calendar or would there be a `` y2k '' crisis of epic proportions ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | which stands for `` before the common era '' and c.e . for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . | is there a quiz 'that goes to a common question about dates ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | refers to `` before christ , '' and the initials , a.d. , stand for anno domini , which is latin for `` in the year of our lord . '' this system was devised by a monk in the year 525 . a more recent system uses b.c.e . | did the new year always start on january 1 ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | or b.c.e . ? many people use the abbreviations b.c . and a.d. with a year ( for example , a.d. 2012 ) . | do we know how the egyptians and people on mesopotamia track time ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | for example , 2012 equates to 1434/35 in the islamic calendar and 5772-73 in the jewish calendar ( both are lunar , based on the cycles of the moon ) . b.c . or b.c.e . ? many people use the abbreviations b.c . | umm.b.c.e means `` before the common era `` , and the c.e means the `` before christ '' , a.d means '' after domini '' ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | and a.d. , but without the christian reference . according to these systems , we count time backwards before the common era ( b.c.e . ) and forwards in the common era ( c.e . ) . | so what place in time did we believe the dead sea scrolls where supposed to be written in ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | how is the relevant to art ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | b.c . refers to `` before christ , '' and the initials , a.d. , stand for anno domini , which is latin for `` in the year of our lord . '' this system was devised by a monk in the year 525 . | i would use bc because bc refers to before christ an ad means anno domini its a latin phrase that refers to `` the year of the lord '' but what are the other ways to say both of them i heard common era is one ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | why is the mayan and chinese calendars so long ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | this newer system is now widely used as a way of expressing the same periods as b.c . and a.d. , but without the christian reference . according to these systems , we count time backwards before the common era ( b.c.e . ) | would abrahamic be a neater distinction than judeo-christian and islamic ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and... | jesus is mentioned in the koran 22 times and abraham was prevalent in the canon of all three so why leave islam out of this grouping ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . | and , was this the monk who calculated how long ago jesus must have lived ( and famously was off by a few years ) ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . | when did the usa start using 12/26/12 instead of 26/12/12 ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | which stands for `` before the common era '' and c.e . for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . | what is the event that `` common era '' refers to ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | or b.c.e . ? many people use the abbreviations b.c . and a.d. with a year ( for example , a.d. 2012 ) . | bold similar to this did other civilizations use other time methods other that seconds ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | similarly when we say `` 20th century , '' we are referring to the 1900s . all this because , according to the calendar we use , the 1st century included the years 1-100 ( there was no year zero ) , and the 2nd century , the years 101-200 . similarly , when we say 2nd century b.c.e . | in the year 1-99 of the 1st century , is there are people who dated by its works ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . | before pope gregory xiii instituted the gregorian calendar , what was the common calendar used in the western world ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | refers to `` before christ , '' and the initials , a.d. , stand for anno domini , which is latin for `` in the year of our lord . '' this system was devised by a monk in the year 525 . a more recent system uses b.c.e . | in current usage , are n't julian dates expressed as the day of the year ( 1-365/366 ) and then the year ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | for `` common era . '' this newer system is now widely used as a way of expressing the same periods as b.c . and a.d. , but without the christian reference . according to these systems , we count time backwards before the common era ( b.c.e . ) | is there any way for us to determine which of the calendars listed above is the most accurate or is it safe to conclude that they 're all inaccurate in one way or another but their sole purpose is to help us reference times and places in history while also giving us a way to maintain a historical record ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | refers to `` before christ , '' and the initials , a.d. , stand for anno domini , which is latin for `` in the year of our lord . '' this system was devised by a monk in the year 525 . a more recent system uses b.c.e . | how could there not be a year zero ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . | problem ... i tend to think jesus would have observed old testament laws ... hebrew calendar ... not 'modern ' one we use in america ... does anyone else agree ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | are there statistics on how many percent of the world population is using the gregorian calendar ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . | what is the doric order ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . | when someone is born in another country that uses a different calendar , how do they go about `` translating '' the date to the gregorian calendar ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . | why is the calendar called gregorian and when was it made ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | b.c . refers to `` before christ , '' and the initials , a.d. , stand for anno domini , which is latin for `` in the year of our lord . '' this system was devised by a monk in the year 525 . | anno domini means in the year of our lord but , does that mean people believe in lord in this period so it is called so ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | means approximately 400 years before the common era . why 2012 is in the 21st century we live in the 21st century , that is , the 2000s . similarly when we say `` 20th century , '' we are referring to the 1900s . all this because , according to the calendar we use , the 1st century included the years 1-100 ( there was ... | why is n't the first century zero , and 2012 the 20th century ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . quite a few societies have used calendars linked to the years their kings ruled . | how many different calendars have been used over the evolution of humans ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | but if jesus used a calendar , it would not have been the one we use . our calendar is called the gregorian calendar and was instituted by pope gregory xiii in 1582 . there are many other calendars . | why did pope gregory xii initiate the gregorian calendar ? |
how long has our calendar been around ? we are writing this on 12/26/12 or wednesday , december 26 , 2012 . traditionally understood as two-thousand and twelve years ( give or take a few ) after jesus christ is believed to have been born . but if jesus used a calendar , it would not have been the one we use . our calen... | similarly , when we say 2nd century b.c.e . we are referring to the years 101-200 b.c.e . within our calendar , we also have a tendency to find portentous meaning in the millennial years , that is , in the years 1000 and more recently , 2000 . | why is millennial referring to a thousand years ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | as he does this , the holy spirit descends on them , an event known as pentecost . last judgment : christ is often represented in art as judge at the end of time . these scenes often show christ enthroned in heaven surrounded by apostles and angels , who help him judge the souls of humankind . | why is joseph often represented as sleeping during the birth of christ ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | he asked them to wait and pray with him , but they fell asleep . jesus prayed alone and bled from every pore . kiss of judas : judas , who has been paid 30 pieces of silver to betray christ ’ s whereabouts to the roman authorities , leads them to him , and identifies him with a kiss ( or an embrace ) . | since when did jesus `` bleed from every pore '' in the garden of gethsemane ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | he asked them to wait and pray with him , but they fell asleep . jesus prayed alone and bled from every pore . kiss of judas : judas , who has been paid 30 pieces of silver to betray christ ’ s whereabouts to the roman authorities , leads them to him , and identifies him with a kiss ( or an embrace ) . | did jesus actually bleed from every pour ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the resurrection : christ emerges triumphant from the tomb and carries the banner of the resurrection , a white flag with a red cross . this scene was first developed in early renaissance art . noli me tangere : mary magdalene went to the tomb to mourn christ . | what were the main subjects of the early christian art ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . | were de domus decorated with any iconographic themes ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | he asked them to wait and pray with him , but they fell asleep . jesus prayed alone and bled from every pore . kiss of judas : judas , who has been paid 30 pieces of silver to betray christ ’ s whereabouts to the roman authorities , leads them to him , and identifies him with a kiss ( or an embrace ) . | where is it in scripture that jesus bled from every pore in the garden when he prayed ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . | when were these symbols ''invented '' and does anyone know some more ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | they bring a shroud for the body . other figures often included in representations of this scene are the virgin mary , st. john the evangelist and the three marys ( three women mentioned in the gospels as followers of christ , all named mary but not including the virgin mary , jesus ’ mother ) . the marys at the tomb :... | could the marys be meant as an analogy to or foreshadowing of the trinity ; or do scholars simply believe the bible is saying three women coincidentally named mary were present at the tomb to auger christ 's resurrection ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the crucifixion : christ is crucified at golgotha as his mother mary and the apostle john watch . jesus is offered vinegar and soon dies . he is stabbed with a lance after his death . | do we have any interpretation that could tell us why jesus said `` touch me not '' ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the crucifixion : christ is crucified at golgotha as his mother mary and the apostle john watch . jesus is offered vinegar and soon dies . he is stabbed with a lance after his death . | why was jesus offered vinegar before he died ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the crucifixion : christ is crucified at golgotha as his mother mary and the apostle john watch . jesus is offered vinegar and soon dies . he is stabbed with a lance after his death . | is vinegar symbolism of something bad ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | joseph places the body in a tomb and rolls a large stone over the door . pilate orders guards to watch the tomb . descent from the cross ( also known as the deposition ) : christ ’ s body is taken down from the cross by nicodemus and joseph of arimathea . | has the tomb been found yet ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . | what is the political , social or teologic intention with this painting topics in this moment ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | he asked them to wait and pray with him , but they fell asleep . jesus prayed alone and bled from every pore . kiss of judas : judas , who has been paid 30 pieces of silver to betray christ ’ s whereabouts to the roman authorities , leads them to him , and identifies him with a kiss ( or an embrace ) . | did jesus really bleed from every pore ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . | is n't the idea that god accepts and loves everyone and sort of redeems them when they die ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | as he does this , the holy spirit descends on them , an event known as pentecost . last judgment : christ is often represented in art as judge at the end of time . these scenes often show christ enthroned in heaven surrounded by apostles and angels , who help him judge the souls of humankind . | may i ask what made these 19 particular events the standard scenes from the life of christ in art ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . | why is gabriel wing are colorful ? |
the annunciation : the angel gabriel visits mary to announce to her that she will be the mother of god . at this moment , jesus christ miraculously conceived , and god is made flesh and blood . the visitation : mary and elizabeth , who are cousins , meet . mary is pregnant with jesus and elizabeth is pregnant with st. ... | they encounter simeon , who was told by the holy spirit that he would not die until he had seen the messiah . the temptation : satan visited christ during his 40 day fast in the wilderness and tempted him to use his powers . in the third and final temptation , satan asked christ to worship him , which christ refused to... | why was satan black instead of red with horns ? |
you might have heard people talk about einstein ’ s speed of light , and that it ’ s always the same . the part that most people leave out is that this is only true in a vacuum -- when there ’ s no pesky molecules of air or water to slow it down . but when light moves through a more familiar medium like air , it moves ... | you can say that the water bends the path of of each individual toward a normal line drawn perpendicularly to the shoreline , since the people still on the shore are bent further away from the shoreline than those in the water . the same thing happens to a light ray when it moves from air to water , or from any fast me... | what if the refracted ray bends over 90 degrees ? |
you might have heard people talk about einstein ’ s speed of light , and that it ’ s always the same . the part that most people leave out is that this is only true in a vacuum -- when there ’ s no pesky molecules of air or water to slow it down . but when light moves through a more familiar medium like air , it moves ... | you have air , glass , and then air again . glass is denser than air , so the light from outside passes from a fast medium , through a slow medium and into a fast medium again . the light will take the path from outside to your eye that spends the least time in the dense medium . you can also see that the rule from ear... | how do you calculate the new speed that the light is traveling after entering the more dense medium ? |
you might have heard people talk about einstein ’ s speed of light , and that it ’ s always the same . the part that most people leave out is that this is only true in a vacuum -- when there ’ s no pesky molecules of air or water to slow it down . but when light moves through a more familiar medium like air , it moves ... | glass is denser than air , so the light from outside passes from a fast medium , through a slow medium and into a fast medium again . the light will take the path from outside to your eye that spends the least time in the dense medium . you can also see that the rule from earlier still applies : when the light enters t... | should n't the article say `` the light will take the path from outside to your eye that takes the shortest amount of time overall '' ? |
discussion assignment : what is modern ? what does the word “ modern ” mean ? what can you point to that is modern ? does modern mean contemporary ? does it mean something that is new now ? does it also refer to a particular moment in history that has already past ? when did the modern era begin ? has the modern era en... | what can cubism tell us about the world in which it was created ? discussion assignment : charting modernism in 1936 alfred h. barr jr. , the founding director of the museum of modern art , mounted that museum ’ s first major exhibition of european modernism in a show titled , “ cubism and abstract art. ” barr had spen... | how are modern art different from ancient art ? |
a royal estate machu picchu is often described as “ mysterious , ” but in fact a great deal is known about its construction and purpose . it was built as a royal estate for the first inka emperor , pachacuti inka yupanqui , in the middle of the 15th century , on a mountain saddle overlooking the urubamba river ( in mod... | the stone ’ s name refers to the idea that it was used to track the passage of the sun throughout the year , part of the reckoning of time used to determine when religious events would take place and similar to the observatory . essay by dr. sarahh scher additional resources : video from unesco on machu picchu historic... | how can machu picchu connect to social stratification in the inkan society ? |
scientific experiments like the one pictured here were offered as fascinating shows to the public in the mid-eighteenth century . in joseph wright of derby 's painting a philosopher giving a lecture at the orrery ( 1765 ) , we see the demonstration of an orrery , a mechanical model of the solar system that was used to ... | these new ways of thinking , combined with a financial crisis ( the country was bankrupt ) and poor harvests left many ordinary french people both angry and hungry . in 1789 , the french revolution began . in its initial stage , the revolutionaries asked only for a constitution that would limit the power of the king . | how does the scientific revolution cause problems woth power and the monarchy in france ? |
scientific experiments like the one pictured here were offered as fascinating shows to the public in the mid-eighteenth century . in joseph wright of derby 's painting a philosopher giving a lecture at the orrery ( 1765 ) , we see the demonstration of an orrery , a mechanical model of the solar system that was used to ... | these new ways of thinking , combined with a financial crisis ( the country was bankrupt ) and poor harvests left many ordinary french people both angry and hungry . in 1789 , the french revolution began . in its initial stage , the revolutionaries asked only for a constitution that would limit the power of the king . | how is the scientific revolution similar to the enlightenment ? |
scientific experiments like the one pictured here were offered as fascinating shows to the public in the mid-eighteenth century . in joseph wright of derby 's painting a philosopher giving a lecture at the orrery ( 1765 ) , we see the demonstration of an orrery , a mechanical model of the solar system that was used to ... | enlightenment toward the middle of the eighteenth century a shift in thinking occurred . this shift is known as the enlightenment . you have probably already heard of some important enlightenment figures , like rousseau , diderot and voltaire . it is helpful i think to think about the word `` enlighten '' here—the idea... | how was the age of enlightenment affected nature ? |
introduction linearity is a mathematical concept that has a profound impact on electronic design . the idea itself is quite simple , but the implications have great meaning for our field . first we will talk about the mathematical meaning of linear . then we will apply the idea to electronic circuits . what we 're buil... | if a notebook costs \ $ 1 , then ten notebooks will cost \ $ 10 . in electronics , an ideal resistor creates a linear relationship between voltage and current . if you double voltage , the current doubles , and vice versa . so we say an ideal resistor is a linear element . scaling ( homogeneity ) we want to write this ... | can we say that an element is linear if its equation for current and voltage is linear ? |
introduction linearity is a mathematical concept that has a profound impact on electronic design . the idea itself is quite simple , but the implications have great meaning for our field . first we will talk about the mathematical meaning of linear . then we will apply the idea to electronic circuits . what we 're buil... | if a notebook costs \ $ 1 , then ten notebooks will cost \ $ 10 . in electronics , an ideal resistor creates a linear relationship between voltage and current . if you double voltage , the current doubles , and vice versa . | for example the power across a resistor with respect to voltage is not linear , correct ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | but hey , that 's convention , so we go with it . instead of writing the `` nudged '' input as $ ( x_0 + h , y_0 ) $ , we write it as $ \textbf { x } _0 + h \hat { \textbf { i } } $ , where $ \hat { \textbf { i } } $ is the unit vector in the $ x $ -direction : $ \begin { align } \quad \dfrac { \partial f } { \partial ... | if we move hv1 in the x direction , how does this imply that the output will be hv1*fx ( x0 , y0 ) ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | moreover , as $ h $ approaches $ 0 $ , so does the difference between these two , but we have to assume that $ f $ is continuous . why does the gradient point in the direction of steepest ascent ? having learned about the directional derivatives , we can now understand why the direction of the gradient is the direction... | step 4. how does adding the change in the x direction and y direction give us the total change in the function ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | let $ ( x_0 , y_0 ) $ be a particular input point consider all possible directions , i.e . all unit vectors $ \hat { \textbf { u } } $ in the input space of $ f $ . question ( informal ) : if we start at $ ( x_0 , y_0 ) $ , which direction should we walk so that the output of $ f $ increases most quickly ? | we are adding `` perpendicular numbers '' , not vectors , so the adding should look more like pythagoras , should n't it ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | instead of writing the `` nudged '' input as $ ( x_0 + h , y_0 ) $ , we write it as $ \textbf { x } _0 + h \hat { \textbf { i } } $ , where $ \hat { \textbf { i } } $ is the unit vector in the $ x $ -direction : $ \begin { align } \quad \dfrac { \partial f } { \partial x } ( \textbf { x } 0 ) = \lim { h \to 0 } \dfrac ... | is that mean , the gradient ( which has the partial derivatives of x , y ) not considered as a vector here ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | choose a tiny value $ h $ . add $ h\bluee { v_1 } $ to $ x_0 $ , which means stepping to the point $ ( x_0 + h\bluee { v_1 } , y_0 ) $ . from what we know of partial derivatives , this will change the output of the function by about $ \begin { align } h\bluee { v_1 } \left ( \dfrac { \partial f } { \partial x } ( x_0 ,... | that means df/dx is undefined ? |
background : introduction to directional derivatives partial derivatives gradient this article is targetted for those who want a deeper understanding of the directional derivative and its formula . formal definition of the directional derivative there are a couple reasons you might care about a formal definition . for ... | question ( informal ) : if we start at $ ( x_0 , y_0 ) $ , which direction should we walk so that the output of $ f $ increases most quickly ? question ( formal ) : which unit vector $ \hat { \textbf { u } } $ maximizes the directional derivative along $ \hat { \textbf { u } } $ : $ \begin { align } \nabla_ { \hat { \t... | i do n't understand this sentence : the famous triangle inequality tells us that this will be maximized by the unit vector in the direction ( nabla ) f ( x0 , y0 ) to me , this does n't seem obvious at all , can i find explanation perhaps somewhere else on the khan academy ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | the key question is , when can we stop checking and prove that n is prime ? ( let 's call this our wall ) as a starting point , we know our wall must be n-1 ( since n divides n ) . if we check up to 2971215072 either we find a divisor ( which proves n is composite ) or we don't ( which proves n is prime ) . | so does infinity have a wall since its an unknown number ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | if we check up to 2971215072 either we find a divisor ( which proves n is composite ) or we don't ( which proves n is prime ) . building a better wall this would work , but can we move our wall to save time ? remember , that we are actually searching for the first ( or smallest ) divisor . | i mean it is a big number and supposedly does not have a value and is more like a wall it self but is it possible to give infinity a value ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | try to prove this to yourself ( a proof is at the bottom of this article ) trial division algorithm that 's it , we are ready to move on . first let 's summarize our trial division algorithm in plain english : accept some input integer n for each integer x from { 2 ... sqrt ( n ) } check if x divides n if you found a d... | the trivial algorithm sasys , '' accept some input integer n for each integer x from { 2 ... sqrt ( n ) } check if x divides n if you found a divisor then n is composite or else n is prime : do we need to check every element in { 2 ... sqrt ( n ) } , if x is not divisible by 2 , then x is not divisible by the multiplic... |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | this is known as a square number such as 9 ( 9 = 33 ) or 49 ( 49 = 77 ) . to capture this worst case scenario we simply build our wall at the square root of n ! convince yourself of this : if we do n't find a divisor of n after checking up to square root of n , then n must be prime . try to prove this to yourself ( a p... | why is it that we are checking divisibility for all integers less than the square root of n ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . | should n't we only test primes ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | this brings us to the key question : how large could the smallest divisor be ? remember that any composite integer n is build out of two or more primes n= p * p … p is largest when n has exactly two divisors which are equal to each other . this is known as a square number such as 9 ( 9 = 33 ) or 49 ( 49 = 77 ) . | should n't the wall be at n / 2 , because p * p can not be bigger than n / 2 ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | to capture this worst case scenario we simply build our wall at the square root of n ! convince yourself of this : if we do n't find a divisor of n after checking up to square root of n , then n must be prime . try to prove this to yourself ( a proof is at the bottom of this article ) trial division algorithm that 's i... | because it says if we do n't find a divisor of n after checking up to square root of n , then n must be prime , then does n't that mean that every number which is not a perfect square is a prime ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . | why are there so many steps in order to find if a number is prime or not , ca n't we just try and memorize our facts and save time and paper ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | yes we found a divisor of 49 ( 7 ) which is proof that 49 is composite . building a wall however what if i asked you if 2971215073 is prime ? are you still checking ? | so is 2971215073 prime or not ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | if not , you can proceed to the next step where i have provided a working version for you to use as a starting point . ( fyi it is possible to do this lesson without doing any programming ) . | it is possible code in python on the scratchpad ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | the key question is , when can we stop checking and prove that n is prime ? ( let 's call this our wall ) as a starting point , we know our wall must be n-1 ( since n divides n ) . if we check up to 2971215072 either we find a divisor ( which proves n is composite ) or we don't ( which proves n is prime ) . | can you please add , a proof of why the wall should be sqrt ( n ) ? |
define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . machines can only follow a sequence of steps based on some instructions , known as an algorithm . to warm up , let 's f... | define the problem we need to build a machine which can answer a simple yes/no question . given an input integer n , is n prime ? let 's think about what would be inside this machine to make it work . | is n composite , or is it prime in this case : 1234570 ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x $ -intercepts at $ ( -3,0 ) $ and $ ( 1,0 ) $ . if this is new to you , we recommend that you check out our zeros of polynomials article . what you will learn in this lesson while the $ x $ -intercepts are an important cha... | is there a section that covers finding the zeros of polynomials using p/q and synthetic division ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | in this article , we 'll learn how to determine the intervals over which a polynomial is positive or negative and connect this back to the graph . positive and negative intervals the sign of a polynomial between any two consecutive zeros is either always positive or always negative . for example , consider the graphed ... | once you know whether the first interval is positive or negative , is n't it easy to tell what the rest of the intervals are based on the multiplicity of the zeros ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | ... negative when $ -2 & lt ; x & lt ; 0 $ . ... positive when $ 0 & lt ; x & lt ; \infty $ . notice that $ g ( x ) $ does not change sign around $ x=-2 $ . determining the positive and negative intervals of polynomials let 's find the intervals for which the polynomial $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ is positive and ... | when doing problems with positive and negative intervals of polynomials and it asks what the sign of f ( x ) is , given only the zeros ( not the graph itself ) , how do we know if the graph starts from below the point or above the point ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | in this article , we 'll learn how to determine the intervals over which a polynomial is positive or negative and connect this back to the graph . positive and negative intervals the sign of a polynomial between any two consecutive zeros is either always positive or always negative . for example , consider the graphed ... | the articles says in positive and negative intervals why ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | ... positive when $ 0 & lt ; x & lt ; \infty $ . notice that $ g ( x ) $ does not change sign around $ x=-2 $ . determining the positive and negative intervals of polynomials let 's find the intervals for which the polynomial $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ is positive and the intervals for which it is negative . | i get that to change the sign the function needs to cross the x axis , but what does the latter part mean ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | interval | the value of a specific $ f ( x ) $ within the interval| sign of $ f $ on interval|connection to graph of $ f $ : - | : - : | : - $ -\infty < -3 $ | $ f ( -4 ) < 0 $ | negative| below the $ x $ -axis $ -3 < 1 $ | $ f ( 0 ) > 0 $ | positive| above the $ x $ -axis $ 1 < \infty $ | $ f ( 2 ) > 0 $ | positive| a... | how do we figure out the maximum or minimum point the graph of polynomial will take ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | in this article , we 'll learn how to determine the intervals over which a polynomial is positive or negative and connect this back to the graph . positive and negative intervals the sign of a polynomial between any two consecutive zeros is either always positive or always negative . for example , consider the graphed ... | for doing problem quickly can we take the rightmost side always positive ? |
what you should be familiar with before taking this lesson the zeros of a polynomial $ f $ correspond to the $ x $ -intercepts of the graph of $ y=f ( x ) $ . for example , let 's suppose $ f ( x ) = ( x+3 ) ( x-1 ) ^2 $ . since the zeros of function $ f $ are $ -3 $ and $ 1 $ , the graph of $ y=f ( x ) $ will have $ x... | what you will learn in this lesson while the $ x $ -intercepts are an important characteristic of the graph of a function , we need more in order to produce a good sketch . knowing the sign of a polynomial function between two zeros can help us fill in some of the gaps . in this article , we 'll learn how to determine ... | how do you get the number that you are going to use when evaluating the sign of the polynomial ? |
what is down syndrome ? the human body is an amazing thing . we really do come in all shapes and sizes . this is true for the things we can see ( like height or hair color ) and for the thing we can ’ t see ( like average heart rate ) . it seems like every time scientists try to find something that is truly the same fo... | what is down syndrome ? the human body is an amazing thing . | is it true that down syndrome occurs more frequently with children of women who get pregnant after they are 45 ? |
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