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apart from the salon the group of artists who became known as the impressionists did something ground-breaking in addition to painting their sketchy , light-filled canvases : they established their own exhibition . this may not seem like much in an era like ours , when art galleries are everywhere in major cities , but... | reception by the 1880s , the impressionists accepted the name the critics gave them , though their reception in france did not improve quickly . other artists , such as mary cassatt , recognized the value of the impressionist movement and were invited to join . american and other non-french collectors purchased numerou... | why was n't mary cassatt mentioned in this article ? |
apart from the salon the group of artists who became known as the impressionists did something ground-breaking in addition to painting their sketchy , light-filled canvases : they established their own exhibition . this may not seem like much in an era like ours , when art galleries are everywhere in major cities , but... | today , a large share of impressionist work remains outside french collections . essay by dr. beth gersh-nesic additional resources art institute of chicago 's exploring impressionism at the google art project impressionism : art and modernity at the metropolitan museum of art 's timeline of art history guide to impres... | when the impressionism era end ? |
apart from the salon the group of artists who became known as the impressionists did something ground-breaking in addition to painting their sketchy , light-filled canvases : they established their own exhibition . this may not seem like much in an era like ours , when art galleries are everywhere in major cities , but... | american and other non-french collectors purchased numerous works by the impressionists . today , a large share of impressionist work remains outside french collections . essay by dr. beth gersh-nesic additional resources art institute of chicago 's exploring impressionism at the google art project impressionism : art ... | what were 3 interests of impressionist painters ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | recessive alleles of two different genes may give the same phenotype . epistasis . the alleles of one gene may mask or conceal the alleles of another gene . | how does epistasis relate to getting a ratio ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | many characteristics are controlled by more than one gene , and when two genes affect the same process , they can interact with each other in a variety of different ways . for example : complementary genes . recessive alleles of two different genes may give the same phenotype . | also does complementary gene mean the same as principle of complementation ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | these factors may be genetic , environmental , or both . polygenic inheritance . some characteristics are polygenic , meaning that they ’ re controlled by a number of different genes . | how cell cellular and chromosomal basis inheritance relate ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | mendel studied just two alleles of his pea genes , but real populations often have multiple alleles of a given gene . incomplete dominance . two alleles may produce an intermediate phenotype when both are present , rather than one fully determining the phenotype . | is chicken comb types can be included as an example of the epistasis , or codominance , or incomplete dominance ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | however , we now know of some exceptions , extensions , and variations , which must be added to the model in order to fully explain the inheritance patterns we see around us . variations involving single genes some of the variations on mendel ’ s rules involve single genes . these include : multiple alleles . | does mendel 's law support variation that is controlled by multiple genes ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | many characteristics are controlled by more than one gene , and when two genes affect the same process , they can interact with each other in a variety of different ways . for example : complementary genes . recessive alleles of two different genes may give the same phenotype . | can someone clearly explain the difference between epistatis and complimentarity of genes ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | incomplete dominance . two alleles may produce an intermediate phenotype when both are present , rather than one fully determining the phenotype . codominance . | what is the phenotype if both blue and brown mixes together and forms a new colour ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | during gamete production , each egg or sperm cell receives just one of the two gene copies present in the organism , and the copy allocated to each gamete is random ( law of segregation ) . genes for different traits are inherited independently of one another ( law of independent assortment ) . these rules still form t... | what is the merit and demerit of the mendel 's law of segregation and independent assortment in relation to life ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | polygenic inheritance and environmental effects many characteristics important in our everyday lives , such as height , skin color , eye color , and risk of diseases like diabetes , are controlled by many factors . these factors may be genetic , environmental , or both . polygenic inheritance . | what is the relevance of cell biology to a genetic student ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | polygenic inheritance . some characteristics are polygenic , meaning that they ’ re controlled by a number of different genes . in polygenic inheritance , traits often form a phenotypic spectrum rather than falling into clear-cut categories . | what is the meaning and difference between intergenic ( non allelic ) and intragenic ( interallelic ) interactions ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | mendel studied just two alleles of his pea genes , but real populations often have multiple alleles of a given gene . incomplete dominance . two alleles may produce an intermediate phenotype when both are present , rather than one fully determining the phenotype . | would heterochromia fall under the codominance category , incomplete dominance , or is it something else entirely ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | mendel studied just two alleles of his pea genes , but real populations often have multiple alleles of a given gene . incomplete dominance . two alleles may produce an intermediate phenotype when both are present , rather than one fully determining the phenotype . | what exactly is the difference between incomplete dominance and codominance ? |
review : mendel 's basic model the basic principles of gregor mendel ’ s model of inheritance have held up for over a century . they can explain how many different characteristics are inherited , in a wide range of organisms including human beings . some of the key elements of mendel ’ s original model were : heritable... | mendel studied just two alleles of his pea genes , but real populations often have multiple alleles of a given gene . incomplete dominance . two alleles may produce an intermediate phenotype when both are present , rather than one fully determining the phenotype . | what is the difference between incomplete dominance and codominance ? |
after the raft of the medusa at the end of 1821 the leading romantic painter in france , théodore géricault , returned from a year long stay in england where crowds had flocked to see his masterpiece the raft of the medusa displayed in the egyptian hall in pall mall , london . despite the success of the exhibition , th... | the fact that the sitters of the paintings are given no names , but are defined only by their illnesses would seem to confirm this view and , for that reason , many modern viewers of the paintings do feel disconcerted when looking at them . the portraits the five surviving portraits are bust length and in front view ,... | anyone notice that in all the portraits , the left eye is at the centre ? |
prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | an artists practices for years , where is their practice art ? |
prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | what influences did this artifact have ? |
prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | in english , `` sacrum '' is derived from latin : os sacrum , meaning “ sacred bone. ” the sacrum is also—perhaps significantly for its meaning—located near the reproductive organs . “ language and iconographic evidence strongly suggests that the sacrum bone was an important bone indeed in mesoamerica , relating to sac... | if so , and if it was carved on non-fossilized bone , how long does it take for bone to fossilize ? |
prehistoric art around the globe when we think about prehistoric art ( art before the invention of writing ) , likely the first thing that comes to mind are the beautiful cave paintings in france and spain with their naturalistic images of bulls , bison , deer and other animals . but it ’ s important to note that prehi... | and after . this fascinating and unique prehistoric sculpture of a dog-like animal ( below ) was discovered accidentally in 1870 in tequixquiac , mexico—in the valley of mexico ( where mexico city is located ) . the carving likely dates to sometime between 14,000–7000 b.c.e . | what kind of animal did the skull belong to ? |
introduction in this article , we 'll practice the art of translating shapes . mathematically speaking , we will learn how to draw the image of a given shape under a given translation . a translation by $ \langle a , b \rangle $ is a transformation that moves all points $ a $ units in the $ x $ -direction and $ b $ uni... | introduction in this article , we 'll practice the art of translating shapes . mathematically speaking , we will learn how to draw the image of a given shape under a given translation . a translation by $ \langle a , b \rangle $ is a transformation that moves all points $ a $ units in the $ x $ -direction and $ b $ uni... | how do you construct a translation with a compass with a point away from the shape ? |
introduction in this article , we 'll practice the art of translating shapes . mathematically speaking , we will learn how to draw the image of a given shape under a given translation . a translation by $ \langle a , b \rangle $ is a transformation that moves all points $ a $ units in the $ x $ -direction and $ b $ uni... | introduction in this article , we 'll practice the art of translating shapes . mathematically speaking , we will learn how to draw the image of a given shape under a given translation . | does this transformations theory apply to irregular shapes and 3d shapes ? |
cue the 19th century , where british art sees a shift from the pomp and grandeur of the previous years to more complex and emotional artistic expressions . this is a time when modern science is beginning to captivate the human imagination and technologies like engravings and photographs are allowing images to be dissem... | painted thickly with gold and tempera , this fantastical being is at once familiar and strange . a poet as well as a painter , blake was a prime example of the romantic artist , believing in the power of the imagination and the ability of art to convey profound ideas and emotions . in the meantime , queen victoria was ... | is blake 's imagination more powerful in poetry than in painting or vice versa ? |
cue the 19th century , where british art sees a shift from the pomp and grandeur of the previous years to more complex and emotional artistic expressions . this is a time when modern science is beginning to captivate the human imagination and technologies like engravings and photographs are allowing images to be dissem... | perhaps some artists wanted to go beyond documentation and use their work to convey a message . william blake , another central figure of 19th century british art , had his own romantic visions–quite literally . in the ghost of a flea , blake paints a strange animal-human hybrid that is said to have come to the artist ... | why did william blake name his painting the ghost of a flea ? |
cue the 19th century , where british art sees a shift from the pomp and grandeur of the previous years to more complex and emotional artistic expressions . this is a time when modern science is beginning to captivate the human imagination and technologies like engravings and photographs are allowing images to be dissem... | perhaps some artists wanted to go beyond documentation and use their work to convey a message . william blake , another central figure of 19th century british art , had his own romantic visions–quite literally . in the ghost of a flea , blake paints a strange animal-human hybrid that is said to have come to the artist ... | in this article it talks about romantic paintings- why does it not talk about actual romantic paintings of couples out on a garden stroll or at the waterfront or in the drawing room whispering and holding hands ? |
familiar but enigmatic the villa , on its face , seems to be the simplest of roman domestic buildings to understand—after all , we continue to use the latin term `` villa '' to conjure up a luxurious retreat in the country or at the seashore . we find evidence of the ancient roman villa in both archaeological remains a... | familiar but enigmatic the villa , on its face , seems to be the simplest of roman domestic buildings to understand—after all , we continue to use the latin term `` villa '' to conjure up a luxurious retreat in the country or at the seashore . we find evidence of the ancient roman villa in both archaeological remains a... | what is going on in that last picture ? |
familiar but enigmatic the villa , on its face , seems to be the simplest of roman domestic buildings to understand—after all , we continue to use the latin term `` villa '' to conjure up a luxurious retreat in the country or at the seashore . we find evidence of the ancient roman villa in both archaeological remains a... | its mosaic decorations are rich and complex , with themes that range from natural and geometric scenes , to genre scenes , to hunting scenes , as well as scenes extracted from graeco-roman mythology . villas like the villa casale dominated the rural landscape and its economy , engaging in various productive activities ... | it looks like the woman is channeling an orb of some kind ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the european presence in america spurred countless changes in the environment , negatively affecting native anim... | did the african slaves and the natives co-operate in trying to work against the colonists ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the european presence in america spurred countless changes in the environment , negatively affecting native anim... | in the mourning wars , who did the native americans go to war against , other tribes or the colonists ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | introduction of disease perhaps the single greatest impact of european colonization on the north american environment was the introduction of disease . microbes to which native inhabitants had no immunity caused sickness and death everywhere europeans settled . along the new england coast between 1616 and 1618 , epidem... | when the disease took the native americans lives , did columbus and europe notice that they were killing 90 % of the people who were nice to them ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | the task of cataloging the new plants found there led to the emergence of the science of botany . early botanists included the english naturalist sir hans sloane , who traveled to jamaica in 1687 and there recorded hundreds of new plants . american indians , who possessed a vast understanding of local new world plants ... | was hans sloane the first botnist in the new world ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the european presence in america spurred countless changes in the environment , negatively affecting native animals as well as people . the popularity of beaver-trimmed hats in europe , coupled with indians... | in `` environmental changes '' , would n't the ecosystem collapse because of the lost animals and places ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . | what were some positive impacts of european/native american interaction ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | how did it benefit ? did the markets in europe influence the development of botany and agriculture in the new world ? how so ? | did the markets in europe influence the development of botany and agriculture in the new world ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | along the new england coast between 1616 and 1618 , epidemics claimed the lives of 75 percent of the native people . in the 1630s , half of the huron and iroquois people living near the great lakes died of smallpox . the very young and the very old were the most vulnerable and had the highest mortality rates . | this may not relate to this specific content but , the european diseases , you know , smallpox , whooping cough , measles were all really bad but ... was black death ( the plauge ) the worst of all b/cause it killed more people ? |
overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | overview colonization ruptured many ecosystems , bringing in new organisms while eliminating others . the europeans brought many diseases with them , which decimated native american populations . colonists and native americans alike looked to new plants as possible medicinal resources . environmental changes the europe... | what were the positive and negative impacts of introducing new trade goods/technologies on the europeans and the native americans ? |
the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | $ v_0 $ is the initial voltage across the capacitor , at $ t=0 $ . in this article we 'll work with the integral form of the capacitor equation . our example circuit is a current source connected to a $ 1\ , \mu\text f $ capacitor . voltage before , during , and after the current pulse suppose we apply a $ 2 \text { ma... | so those volts and current integrated by capacitor ? |
the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | not by a power supply while charging a capacitor ? |
the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | in this article we 'll work with the integral form of the capacitor equation . our example circuit is a current source connected to a $ 1\ , \mu\text f $ capacitor . voltage before , during , and after the current pulse suppose we apply a $ 2 \text { ma } $ pulse of current to the $ 1 \ , \mu\text f $ capacitor for $ 3... | sir , wo n't the capacitor discharge , to reduce its potential , when the current becomes zero ? |
the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | we did n't even have to use the equation . during the pulse for any time $ t $ during the current pulse $ ( 0 \lt t \lt 3\ , \text { ms } ) $ , charge accumulates on $ \text c $ and the voltage rises . we can apply the capacitor equation to find out how $ v $ changes , $ \displaystyle v ( t ) = \dfrac1 { \text c } \ , ... | if we have a pulse that is something other than zero after a certain time , how do we represent that in the limits of the integral ? |
the capacitor is one of the ideal circuit elements . let 's put a capacitor to work to see the relationship between current and voltage . the two forms of the capacitors 's $ i $ - $ v $ equation are : $ i = \text c \ , \dfrac { dv } { dt } \qquad\qquad $ $ \displaystyle v = \dfrac1 { \text c } \ , \int_ { \,0 } ^ { \ ... | voltage before , during , and after the current pulse suppose we apply a $ 2 \text { ma } $ pulse of current to the $ 1 \ , \mu\text f $ capacitor for $ 3 $ milliseconds . we 'll assume the initial voltage across the capacitor is zero . $ i ( t ) =\begin { cases } 2 \text { ma } & ; ~~0 \lt t \lt 3\ , \text { ms } \ 0 ... | we can find the voltage between 0 and 1 ms by integrating from 0 to t , what would we put for the limits when finding the voltage between 1 and 2 ms ? |
a shared language , religion , and culture ancient greece can feel strangely familiar . from the exploits of achilles ( a hero in the ancient epic poem by homer , the illiad ) , about the trojan war and odysseus ( the hero in homer 's the odyssey ) , to the treatises of aristotle , from the exacting measurements of the... | located just north of athens , lefkandi has yielded an immense apsidal structure ( almost fifty meters long ) , a massive network of graves , and two heroic burials replete with gold objects and valuable horse sacrifices . one of the most interesting artifacts , ritually buried in two separate graves , is a centaur fig... | was the terra cotta centaur statue from the tomb meant to guard the spirit of the deceased ? |
a shared language , religion , and culture ancient greece can feel strangely familiar . from the exploits of achilles ( a hero in the ancient epic poem by homer , the illiad ) , about the trojan war and odysseus ( the hero in homer 's the odyssey ) , to the treatises of aristotle , from the exacting measurements of the... | despite continued military activity throughout the “ late classical period ” ( 400-323 b.c.e . ) , artistic production and development continued apace . in addition to a new figural aesthetic in the fourth century known for its longer torsos and limbs , and smaller heads ( for example , the apoxyomenos ) , the first fe... | what philosophy and attitudes of the ancient greeks corresponds with the development of the naturalistic `` ideal '' as the norm for the human figures ? |
world of the dead this mask from new caledonia is said to represent a chief . it is adorned with hair , probably from the men mourning the chief 's death . in the north of new caledonia , a chief 's mourners wore masks such as this during his mortuary ceremony . the performer wore the mask high—looking out from the mas... | the nose is typically beak-like . the mask is topped with human hair , also used to form the beard . the hair of male mourners was used for this ; they grew it long , and cut it after the period of mourning . | what type of hair was the hair on the mask ? |
world of the dead this mask from new caledonia is said to represent a chief . it is adorned with hair , probably from the men mourning the chief 's death . in the north of new caledonia , a chief 's mourners wore masks such as this during his mortuary ceremony . the performer wore the mask high—looking out from the mas... | world of the dead this mask from new caledonia is said to represent a chief . it is adorned with hair , probably from the men mourning the chief 's death . | what are those holes for at the top ? |
world of the dead this mask from new caledonia is said to represent a chief . it is adorned with hair , probably from the men mourning the chief 's death . in the north of new caledonia , a chief 's mourners wore masks such as this during his mortuary ceremony . the performer wore the mask high—looking out from the mas... | the nose is typically beak-like . the mask is topped with human hair , also used to form the beard . the hair of male mourners was used for this ; they grew it long , and cut it after the period of mourning . | was there supposed to be more hair on the mask that just kind of fell off ? |
what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ) + i\sin ( \beta ) ) \\ & amp ; =rs [ \cos ( \alpha + \beta ) + i\sin ( \alpha + \beta ) ] \end { align } $ one great strength o... | can you tell me what software you used to visualize the plane or coordinate ? |
what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | is n't it interesting how a fact as simple as $ z \cdot 1 = z $ and $ z \cdot 0 = 0 $ can be so helpful in visualizing complex multiplication ! a visual understanding of complex conjugates let 's look at what happens when we multiply the plane by some complex number $ z $ , then multiply the result by it 's conjugate $... | what does total rotation refer to in the sentence `` successive multiplications have no total rotation '' ? |
what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | example 1 : division by $ \sqrt { 3 } + i $ the angle of $ \sqrt { 3 } + i $ is $ 30^\circ $ , and it 's absolute value is $ 2 $ , so everything rotates by $ -30^\circ $ , which is clockwise , and shrinks by a factor of $ 2 $ example 2 : division by $ \dfrac { 1 } { 3 } - \dfrac { i } { 3 } $ the angle of $ \dfrac { 1 ... | what 's the purpose of rotating and scaling the grid as well as the dot ? |
what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | if $ z $ has polar form $ r ( \cos ( \theta ) + i\sin ( \theta ) ) $ , the rule outlined above tells us that every point on the plane will be scaled by a factor $ r $ , and rotated by an angle of $ \theta $ . examples for $ z = \sqrt { 3 } + i = 2 ( \cos ( 30^\circ ) + i\sin ( 30^\circ ) ) $ , multiplying $ z $ would s... | is there a book you guys would recommend to be able to think more objectively/logically ? |
what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | what complex multiplication looks like by now we know how to multiply two complex numbers , both in rectangular and polar form . in particular , the polar form tells us that we multiply magnitudes and add angles : $ \begin { align } & amp ; \phantom { = } r ( \cos ( \alpha ) + i\sin ( \alpha ) ) \cdot s ( \cos ( \beta ... | why can we add the angles when multiplying and subtract the angles when dividing ? |
what is chirality ? chirality is derived from the greek word χειρ ( kheir ) that stands for `` hand '' . an object is said to be chiral if the object and its mirror image are non-superimposable , just like our right and left hand . now you must be wondering what we mean by ‘ non-superimposable ’ . when the mirror image... | this property was termed as optical activity . in non-polarized light , electric and magnetic fields randomly orient in all planes . when the non-polarized light is made to pass through a polarizing filter , oscillations get oriented in only one particular direction , and is called plane polarized light . as stated , c... | the non-superimposable chiral molecule is the one which rotates the plane polarized light right ? |
what is chirality ? chirality is derived from the greek word χειρ ( kheir ) that stands for `` hand '' . an object is said to be chiral if the object and its mirror image are non-superimposable , just like our right and left hand . now you must be wondering what we mean by ‘ non-superimposable ’ . when the mirror image... | this ensures that only the biologically active enantiomer is present in the final drug preparation . the enantiomers of a chiral drug differ in their interactions with enzymes , proteins , receptors and other chiral molecules too including chiral catalysts . these differences in interactions , in turn , lead to differe... | is vinorelbine drug chiral or achiral ? |
what is chirality ? chirality is derived from the greek word χειρ ( kheir ) that stands for `` hand '' . an object is said to be chiral if the object and its mirror image are non-superimposable , just like our right and left hand . now you must be wondering what we mean by ‘ non-superimposable ’ . when the mirror image... | some drugs are marketed solely as a pure single enantiomer ( that is ; the drug preparation has no contamination with the other enantiomer ) . enantiomeric excess ( ee ) is a measurement of the degree of purity of any chiral sample . it reflects the degree to which a sample contains one enantiomer in excess over the ot... | can anyone elaborate on how to calculate enantiomeric excess ? |
what is chirality ? chirality is derived from the greek word χειρ ( kheir ) that stands for `` hand '' . an object is said to be chiral if the object and its mirror image are non-superimposable , just like our right and left hand . now you must be wondering what we mean by ‘ non-superimposable ’ . when the mirror image... | a racemic mixture has an ee of 0 % ( both enantiomers are present in a 1:1 ratio ) , while a completely pure enantiomer has an ee of 100 % . as an example , if a sample contains 70 % of r isomer and 30 % of s isomer , then it will have an enantiomeric excess of 40 % . this can be rationalized as a mixture of 40 % pure ... | how does 70 % r - 30 % s translate to an ee of 40 % ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | what caused the stock market crash that began in october 1929 ? do you think president herbert hoover ’ s response to the economic downturn that began in 1929 was adequate ? what do you think your life would have been like if you had lived during the great depression ? | why did president hoover make that response ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of business . | what exactly were the main and separate causes of the great depression and the stock market crash of 1929 ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of business . although president herbert hoover attempted to spark growth in the economy through measures like the reconstruction finance corporation , ... | i know stocks can rise or fall in value depending on how well the business is doing , but how can all business fall at the same time ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | the disastrous 1930 hawley-smoot tariff ( which raised average tariff rates to nearly 60 percent ) caused america ’ s international trading partners to retaliate by raising rates on us-made goods . the result was shrinking international trade and a further decline in global economies. $ ^1 $ the great depression as the... | this may sound like a stupid question , but why exactly did people lose their jobs ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of business . although president herbert hoover attempted to spark growth in the economy through measures like the reconstruction finance corporation , ... | as in what was the exact cause of this unemployment ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | a chicago social worker wrote that “ we saw want and despair walking the streets , and our friends , sensible , thrifty families , reduced to poverty. ” $ ^3 $ more than a third of the nation ’ s banks failed in the three years following 1929. $ ^4 $ long lines of desperate and despairing people outside banks hoping to... | because so many workers lost their jobs , does that mean even big , wealthy business owners had lots of stock shares ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | what do you think ? what caused the stock market crash that began in october 1929 ? do you think president herbert hoover ’ s response to the economic downturn that began in 1929 was adequate ? | the stock crashed and that 's why the business owners had to lay off lots of workers right ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | by 1930 there were 4.3 million unemployed ; by 1931 , 8 million ; and in 1932 the number had risen to 12 million . by early 1933 , almost 13 million were out of work and the unemployment rate stood at an astonishing 25 percent . those who managed to retain their jobs often took pay cuts of a third or more. $ ^2 $ out o... | in paragraph 4 , who is included in the 25 % employment rate ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | do you think president herbert hoover ’ s response to the economic downturn that began in 1929 was adequate ? what do you think your life would have been like if you had lived during the great depression ? | what do you think your life would have been like if you had lived during the great depression ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | what do you think ? what caused the stock market crash that began in october 1929 ? do you think president herbert hoover ’ s response to the economic downturn that began in 1929 was adequate ? | in stock market crash of 1929 , paragraph 2 , why did the stock market lose one thirds of its september value ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of business . | can you explain how the stock market crash of 1929 contributed to the affect of the great depression ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . | we 've helped many other countries when they were in a state of `` great depression '' so why did n't they help us ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | what do you think ? what caused the stock market crash that began in october 1929 ? do you think president herbert hoover ’ s response to the economic downturn that began in 1929 was adequate ? | the stock market should have made sure that the company was gon na work out fine like ( if there was insurance then ) they need to get insurance , they need to make sure that they have an almost perfect plan and all the other details ... who else thinks that ? |
overview the great depression was the worst economic downturn in us history . it began in 1929 and did not abate until the end of the 1930s . the stock market crash of october 1929 signaled the beginning of the great depression . by 1933 , unemployment was at 25 percent and more than 5,000 banks had gone out of busines... | although president herbert hoover attempted to spark growth in the economy through measures like the reconstruction finance corporation , these measures did little to solve the crisis . franklin roosevelt was elected president in november 1932 . inaugurated as president in march 1933 , roosevelt ’ s new deal offered a ... | why did the president want to name everything with his name ? |
background introduction to lagrange multipliers gradient lagrange multiplier technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c }... | solution : first , we need to spell out how exactly this is a constrained optimization problem . write the coordinates of our unit vectors as $ x $ , $ y $ and $ z $ : $ \begin { align } \quad \hat { \textbf { u } } = \left [ \begin { array } { c } x \ y \ z \end { array } \right ] \end { align } $ the fact that $ \hat... | in example 2 , why do we put a hat on u ? |
background introduction to lagrange multipliers gradient lagrange multiplier technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c }... | once you do , you 'll find that the answer is $ \begin { align } \quad h & amp ; = \dfrac { 2 { , } 000 } { 3 } \approx 666.667 \ \ s & amp ; = \dfrac { 2 { , } 000 } { 51 } \approx 39.2157 \ \ \lambda & amp ; = \sqrt [ 3 ] { \dfrac { 8 { , } 000 } { 459 } } \approx 2.593 \ \ \end { align } $ this means you should empl... | is it because it is a unit vector , or because it is the vector that we are looking for ? |
background introduction to lagrange multipliers gradient lagrange multiplier technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c }... | step 3 : consider each solution , which will look something like $ ( x_0 , y_0 , \dots , \greene { \lambda } _0 ) $ . plug each one into $ f $ . or rather , first remove the $ \greene { \lambda } _0 $ component , then plug it into $ f $ , since $ f $ does not have $ \greene { \lambda } $ as an input . | for problems where the number of constraints is one less than the number of variables ( ie every example we 've gone over except the unit vector one ) , is there a reason why we ca n't just solve the system of equations of the function and constraint ? |
background introduction to lagrange multipliers gradient lagrange multiplier technique , quick recap when you want to maximize ( or minimize ) a multivariable function $ \bluee { f ( x , y , \dots ) } $ subject to the constraint that another multivariable function equals a constant , $ \rede { g ( x , y , \dots ) = c }... | because we will now find and prove the result using the lagrange multiplier method . solution : first , we need to spell out how exactly this is a constrained optimization problem . write the coordinates of our unit vectors as $ x $ , $ y $ and $ z $ : $ \begin { align } \quad \hat { \textbf { u } } = \left [ \begin { ... | what shuld we do if we have constraints as well as boundaries and we need a local extrima ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . we call this the $ x $ -intercept . the point on the $ y $ -axis is $ ( 0,4 ) $ . | would it still be a y-intercept ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from a graph looking at the graph , we can find the intercepts . the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . | how can you find the x and y-intercepts from a difficult graph ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from an equation we 're asked to determine the intercepts of the graph described by the following linear equation : $ 3x+2y=5 $ to find the $ y $ -intercept , let 's substitute $ \blue x=\blue 0 $ into the equation and solve for $ y $ : $ \begin { align } 3\cdot\blue { 0 } +2... | do we divide by 2 when `` zooming in '' ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . we call this the $ x $ -intercept . the point on the $ y $ -axis is $ ( 0,4 ) $ . | when it is in the origin would it be both the x and y-intercept it would be just the origin or something else ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . | also , just making sure , there could be infinite x or y-intercepts , right ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from a graph looking at the graph , we can find the intercepts . the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . | is there a formula that i can punch in using the change in x and the change in y to find the intercepts ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from a graph looking at the graph , we can find the intercepts . the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . | what happens when there is no pattern in the graph ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . we call this the $ x $ -intercept . the point on the $ y $ -axis is $ ( 0,4 ) $ . | where did the word `` intercept '' originate from ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from a table we 're given a table of values and told that the relationship between $ x $ and $ y $ is linear . $ x $ | $ y $ : - : | : - : $ 1 $ | $ -9 $ $ 3 $ | $ -6 $ $ 5 $ | $ -3 $ then we 're asked to find the intercepts of the corresponding graph . | what are the steps and by are there numbers on the side of the table ? |
what are intercepts ? the $ x $ -intercept is the point where a line crosses the $ x $ -axis , and the $ y $ -intercept is the point where a line crosses the $ y $ -axis . want a deeper introduction to intercepts ? check out this video . example : intercepts from a graph looking at the graph , we can find the intercept... | check out this video . example : intercepts from a graph looking at the graph , we can find the intercepts . the line crosses the axes at two points : the point on the $ x $ -axis is $ ( 5,0 ) $ . | why is there no graph ? |
leftovers ( schedulae ) when the scribe cut sheets out of the animal hide , he would normally use the best part of the skin—what may be called the `` prime cut . '' this meant staying clear of the very edge of the skin because these areas were very thin and translucent , and deemed unsuitable for books . the scribe the... | these tiny pages supplemented the text or added notes , like our yellow sticky notes today . layers ( palimpsest ) what to do when you run out of parchment as a medieval scribe ? you can look around for something else to write on , such as left-over parchment strips in the bin ( schedulae ) , or use paper , if it is av... | forget paper made from wood pulp for a moment and just compare parchment and papyrus and what are the advantages and disadvantages for each ? |
leftovers ( schedulae ) when the scribe cut sheets out of the animal hide , he would normally use the best part of the skin—what may be called the `` prime cut . '' this meant staying clear of the very edge of the skin because these areas were very thin and translucent , and deemed unsuitable for books . the scribe the... | the individual that gazed at the golden letters in the manuscript shown below used his knife to remove some of them . while the velvety softness of perfect skin can be quite appealing to handle , getting to know imperfect parchment is ultimately more interesting and rewarding . damage is telling , and it may shed light... | and in fact there are so many difficulties with getting the skin just right and preparing parchment , why did the medieval world and monasteries in particular seem to favor parchment over papyrus ? |
overview as a general rule , women had less power than men in both han china and imperial rome . social and political structures were male dominated . many women did not follow strict laws designed to govern their behavior ; their lives were instead dictated by religious philosophies , political contexts , and socio-ec... | men with less money often sold their daughters as servants and kept their more valuable male children at home . in imperial rome , women of different socioeconomic classes were distinguished by clothing style . women with more socioeconomic power wore a long dress , or stola , and a loose coat , called a palla . | how were male adulterers in imperial rome treated or punished ? |
overview as a general rule , women had less power than men in both han china and imperial rome . social and political structures were male dominated . many women did not follow strict laws designed to govern their behavior ; their lives were instead dictated by religious philosophies , political contexts , and socio-ec... | while the two societies share these similarities , they were different in other significant ways . for example , while women in han china were mostly limited to separate women ’ s spaces , roman homes were not formally segregated . roman women were relegated to back rows of theatres and arenas , but they had more of a ... | in rome , were only the elite women allowed to be in public spaces , or all women ? |
circuit analysis , or solving a circuit , means figuring out voltages and currents in each element . here 's an overview of circuit analysis , with some context for the various tools and methods we use to analyze circuits . the tools element equations ( ohm 's law , etc . ) schematics ( wires , nodes , branches , loops... | circuit analysis , or solving a circuit , means figuring out voltages and currents in each element . here 's an overview of circuit analysis , with some context for the various tools and methods we use to analyze circuits . the tools element equations ( ohm 's law , etc . ) | hey , pretty new here , but does the khan academy electrical engineering 'faculty ' cover thevenin and norton equivalent circuits , or offer an explanation for how to use the spice/pspice circuit simulators ? |
circuit analysis , or solving a circuit , means figuring out voltages and currents in each element . here 's an overview of circuit analysis , with some context for the various tools and methods we use to analyze circuits . the tools element equations ( ohm 's law , etc . ) schematics ( wires , nodes , branches , loops... | epilogue - computer simulation of circuits the circuit simulation application $ \text { spice } $ and many similar simulation programs are available for professional and student engineers , and anyone else interested in the subject . ( search term : circuit simulator ) computer simulation is often used when solving eve... | i am having a problem solving circuits that include 3d shapes , like , there 's a cube and you have a resistor on each side , if all resistors are equal , what is the equivalent resistance ? |
circuit analysis , or solving a circuit , means figuring out voltages and currents in each element . here 's an overview of circuit analysis , with some context for the various tools and methods we use to analyze circuits . the tools element equations ( ohm 's law , etc . ) schematics ( wires , nodes , branches , loops... | the tools element equations ( ohm 's law , etc . ) schematics ( wires , nodes , branches , loops , and meshes ) simplifying series and parallel resistors kirchhoff 's laws for current and voltage the general strategy after simplifying a circuit as much as possible , all circuit analysis methods are some version of the ... | how can i find the resistance of a missing resistor in a series parallel circuit ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | $ \begin { align } 13y & amp ; = 26\\ y & amp ; = 2 & amp ; \gray { \text { divide each side by 13 } } \end { align } $ step 4 : substitute $ y = 2 $ into one of the original equations , and solve for $ x $ . $ \begin { align } 3x - 4y & amp ; = 1 & amp ; \gray { \text { equation 2 } } \\ 3x -4 ( 2 ) & amp ; = 1 & amp ... | in the homework i am working on , it says : solve the system using elimination 3x-2y=-9 y-2x=4 that 's not set up how it normally looks , how am i supposed to multiply the bottom by 2 to eliminate if they are n't lined up with the same variables ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | so the solution to the system of equations is $ ( \blued5 , \greend { 1 } ) $ . multiplying one of the equations by a constant , then using elimination that last example worked out great because the $ y $ variable was eliminated when we added the equations . sometimes it is n't quite that easy . | what is the point of the last question ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | $ \begin { align } 3x - 4y & amp ; = 1 & amp ; \gray { \text { equation 2 } } \\ 3x -4 ( 2 ) & amp ; = 1 & amp ; \gray { \text { substitute 2 for y } } \\ 3x -8 & amp ; = 1 \\ 3x & amp ; = 9 & amp ; \gray { \text { add 8 to each side } } \\ x & amp ; = 3 & amp ; \gray { \text { divide each side by 3 } } \end { align } ... | how do we solve equations with the process of elimination ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | so the solution to the system of equations is $ ( \blued5 , \greend { 1 } ) $ . multiplying one of the equations by a constant , then using elimination that last example worked out great because the $ y $ variable was eliminated when we added the equations . sometimes it is n't quite that easy . | how do you isolate the variable when only one side has a number other than the variable ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | now we have an equation with just the $ x $ variable that we know how to solve : $ \begin { align } 5x + 0 & amp ; = 25\\ 5x & amp ; = 25\\\ \blued x & amp ; \blued= \blued5 & amp ; \gray { \text { divide each side by 5 } } \end { align } $ baller ! let 's use the first equation to find $ y $ when $ x $ equals $ 5 $ : ... | how are 3 x 29 and y = 3x + 5 related ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | sometimes it is n't quite that easy . take this system of equation as an example : $ 6x + 5y = 28~~~~~~~~ \gray { \text { equation 1 } } $ $ 3x - 4y = 1~~~~~~~~ \gray { \text { equation 2 } } $ if we add these equations , neither the $ x $ or $ y $ variable will be eliminated , so that wo n't work . here are the steps ... | on the problem 4y-2x=4 and 5y+2x=23 , when you are substituting y=3 back into the equation to find x , why ca n't you use the first equation ? |
in this article , we 're going to be solving systems of linear equations using a strategy called elimination . first , we need to understand that it 's okay to add equations together . key idea : anytime we have two true equations , we can add or subtract them to create another true equation . for example , here are tw... | solving a system of equations using elimination we 'll solve this system of equations as an example : $ x + 3y = 8~~~~~~~~ \gray { \text { equation 1 } } $ $ 4x - 3y = 17~~~~~~~~\gray { \text { equation 2 } } $ the hard thing about solving is that there are two variables $ x $ and $ y $ . if only we could get rid of on... | how do you solve if one of the variables is on the other side of the equal sign ? |
overview americans increasingly moved into cities over the course of the late nineteenth and early twentieth centuries , a movement motivated in large measure by industrialization . eleven million people migrated from rural to urban areas between 1870 and 1920 , and a majority of the twenty-five million immigrants who ... | the wealthy lived in urban mansions while the poor crowded into tenement houses , apartment buildings with tiny rooms , no ventilation , and poor sanitation . not until journalist and reformer jacob riis published his eye-opening photoessay how the other half lives in 1890 did cities begin passing ordinances to make te... | in the third paragraph , what does reformer mean ? |
overview americans increasingly moved into cities over the course of the late nineteenth and early twentieth centuries , a movement motivated in large measure by industrialization . eleven million people migrated from rural to urban areas between 1870 and 1920 , and a majority of the twenty-five million immigrants who ... | with museums and public libraries , colleges and universities , churches and synagogues , clubs and organizations , saloons and dance halls , shops and street life , cities were vibrant diverse places of both orthodoxy and heterodoxy . but america ’ s cities could also be geographically concentrated areas of poverty , ... | how did the industrialization of the gilded age transform cities & immigration in america ? |
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