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binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
let the variable $ min $ be the current minimum reasonable guess for this round , and let the variable $ max $ be the current maximum reasonable guess . the input to the problem is the number $ n $ , the highest possible number that your opponent is thinking of . we assume that the lowest possible number is one , but i...
i.e number [ 0 ] = 5 , number [ 1 ] = 9 , number [ 2 ] = 17 , etc ... would you arrange the array indexes in order ( if that is at all possible ) ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
if the guess was too high , set $ max $ to be one smaller than the guess . go back to step two . we could make this pseudocode even more precise by clearly describing the inputs and the outputs for the algorithm and by clarifying what we mean by instructions like `` guess a number '' and `` stop . ''
what does the next challenge want me to do for step 3 ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
you found it ! if the guess was too low , set $ min $ to be one larger than the guess . if the guess was too high , set $ max $ to be one smaller than the guess . go back to step two .
so simply put , you guess the middle option out of the possible range each time ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
why do we start from 1 , do n't array indexes start from 0 ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
you found it ! if the guess was too low , set $ min $ to be one larger than the guess . if the guess was too high , set $ max $ to be one smaller than the guess .
why you need to put one larger than the guess ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
if the program examined every star in the star catalog in order starting with the first , an algorithm called linear search , the computer might have to examine all 2,539,913 stars to find the star you were looking for , in the worst case . if the catalog were sorted alphabetically by star names , binary search would n...
can someone help explain why `` binary search would not have to examine more than 22 stars , even in the worst case '' in the stars example ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
what do the $ dollar signs surrounding min mean ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
if your guess is not correct , then i tell you whether it 's too high or too low , and you can eliminate about half of the reasonable guesses . for example , if the current range of reasonable guesses is 26 to 80 , you would guess the halfway point , $ ( 26 + 80 ) / 2 $ , or 53 . if i then tell you that 53 is too high ...
not sure why in step 2 of the pseudocode you would have the computer guess the `` average '' of the numbers in the range when you can have it divide the overall range by 2 and have that number as the starting point ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
what variables should be created , and what initial values should they have ? what intermediate steps should be taken to compute other values and to ultimately compute the output ? do these steps repeat instructions that can be written in simplified form using a loop ?
would n't the latter equation be faster than having the computer compute the average of the range ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one .
does the binary search rely upon the assumption that the underlying data it is searching is ordered in some way ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one .
or when looking at the , data can we safely ignore that assumption if the data is `` reasonably '' ordered for the binary search ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
is a mathematical reason binary search works because 2 is the only even prime number ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
one of the most common ways to use binary search is to find an item in an array . for example , the tycho-2 star catalog contains information about the brightest 2,539,913 stars in our galaxy . suppose that you want to search the catalog for a particular star , based on the star 's name . if the program examined every ...
how is that if you make the star catalog alphabetical , you only need 22 guesses max ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
[ edited to only show relevant code ] var dosearch = function ( array , targetvalue ) { while ( ... ) { ... if ( min===max ) { ... } else if ( min < max ) { ... } else { ... } } ... } ; what am i doing wrong ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
how is binary search applied in programming ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
what intermediate steps should be taken to compute other values and to ultimately compute the output ? do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully .
is snake and chess a algorith form ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
would the answer to sal 's `` heavier ball '' brain teaser be an example of a binary search ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
why does the sun look larger when it is on the horizon ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
should n't min be 26 and max 52 ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
why exactly is max = n ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
back to max+min/2 you could make more efficient algorithms just by making functions that request less calculations right ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
let 's say that i 'm thinking of a number between one and 100 , just like the guessing game . if you 've already guessed 25 and i told you my number was higher , and you 've already guessed 81 and i told you my number was lower , then the numbers in the range from 26 to 80 are the only reasonable guesses . here , the r...
what happens when there is no hint of `` higher '' or `` lower '' ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one .
is binary search the best type of algorithm or is there a better way ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
that 's why we need to describe computer algorithms completely . in order to implement an algorithm in a programming language , you will need to understand an algorithm down to the details . what are the inputs to the problem ?
would there be any significant diff between learning algorithm+ java and algorithm+python since my class is using python ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
guess the average of $ max $ and $ min $ , rounded down so that it is an integer . if you guessed the number , stop . you found it !
how does the computer search to see if the guessed number is below or above its chosen number ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
does the max always have to be n ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
let the variable $ min $ be the current minimum reasonable guess for this round , and let the variable $ max $ be the current maximum reasonable guess . the input to the problem is the number $ n $ , the highest possible number that your opponent is thinking of . we assume that the lowest possible number is one , but i...
what is the input of a problem ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
some details may be left out of a recipe for a cake ; the recipe assumes that you know how to open the refrigerator to get the eggs out and that you know how to crack the eggs . people might intuitively know how to fill in the missing details , but computer programs do not . that 's why we need to describe computer alg...
if a human brain can fill in the missing details ( logical thought processes ) , why ca n't we model a computer program to behave in a similar fashion ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one .
do neural networks in deep learning address this issue at all ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
how does the min-max combo work in detail because the way that they explain how it detects and can switch seems vague ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
people might intuitively know how to fill in the missing details , but computer programs do not . that 's why we need to describe computer algorithms completely . in order to implement an algorithm in a programming language , you will need to understand an algorithm down to the details .
what are some examples of the algorithms that would be used to tell a computer to turn off ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
what does the dollar signs of `` $ min $ '' mean in the last paragraph ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
some details may be left out of a recipe for a cake ; the recipe assumes that you know how to open the refrigerator to get the eggs out and that you know how to crack the eggs . people might intuitively know how to fill in the missing details , but computer programs do not . that 's why we need to describe computer alg...
why do you need to be so specific when writing programs ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
if the program examined every star in the star catalog in order starting with the first , an algorithm called linear search , the computer might have to examine all 2,539,913 stars to find the star you were looking for , in the worst case . if the catalog were sorted alphabetically by star names , binary search would n...
would someone explain how binary search is there in the stars in the galaxy example ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
why is binary search algorithm called `` binary '' ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
what variables should be created , and what initial values should they have ? what intermediate steps should be taken to compute other values and to ultimately compute the output ? do these steps repeat instructions that can be written in simplified form using a loop ?
what is the definition of input and output ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
go back to step two . we could make this pseudocode even more precise by clearly describing the inputs and the outputs for the algorithm and by clarifying what we mean by instructions like `` guess a number '' and `` stop . '' but this will do for now .
what does the `` $ '' mean ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
why binary is needed in a program ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
for example , the tycho-2 star catalog contains information about the brightest 2,539,913 stars in our galaxy . suppose that you want to search the catalog for a particular star , based on the star 's name . if the program examined every star in the star catalog in order starting with the first , an algorithm called li...
what is the star 953,747 ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
for example , the tycho-2 star catalog contains information about the brightest 2,539,913 stars in our galaxy . suppose that you want to search the catalog for a particular star , based on the star 's name . if the program examined every star in the star catalog in order starting with the first , an algorithm called li...
how could it be possible to find the star with the name you are looking for in 22 guesses tops ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one .
why have a header for psuedocode , and not give us a definition of what psuedocode is ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
if the program examined every star in the star catalog in order starting with the first , an algorithm called linear search , the computer might have to examine all 2,539,913 stars to find the star you were looking for , in the worst case . if the catalog were sorted alphabetically by star names , binary search would n...
why the program wound only examine 22 stars to find the right star with binary search in the first example ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
that 's why we need to describe computer algorithms completely . in order to implement an algorithm in a programming language , you will need to understand an algorithm down to the details . what are the inputs to the problem ?
is there an algorithm for when it chooses ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer . ...
how does the `` max '' and `` min '' work , do you just have to guess the number according to step 2 or you have to follow steps to finding this out ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutorial . one of the most common ways to use binary search is to find an item in an array .
how is the $ symbol used here ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
why is binary so important to us humans ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
alright so we need to choose the average number in a binary search , but in real life who would tell us whether it 's higher or lower ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
just curious why would one guess 25 first if it 's binary search of numbers between 1 and 100 ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutorial . one of the most common ways to use binary search is to find an item in an array .
can binary search be used for efficient price discovery of a security and if yes how ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
in what number base was the addition 1+nn=100 , where n > 0 done ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
in what number base was the addition 1+nn=100 , where n > 0 , done ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
ok , so from the binary search pseudo code in the first lesson , why is `` max = n '' , should n't `` input '' be set to `` n '' ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
for the guessing game , we can keep track of the set of reasonable guesses using a few variables . let the variable $ min $ be the current minimum reasonable guess for this round , and let the variable $ max $ be the current maximum reasonable guess . the input to the problem is the number $ n $ , the highest possible ...
should n't `` max '' just be the maximum number of a reasonable guess , a static integer ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
what are the inputs to the problem ? the outputs ? what variables should be created , and what initial values should they have ?
what do u exactly mean by inputs and outputs ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
in the pseudocode , what does the `` $ '' means ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
do these steps repeat instructions that can be written in simplified form using a loop ? let 's look at how to describe binary search carefully . the main idea of binary search is to keep track of the current range of reasonable guesses .
am i correct in assuming that it is actually faster to do a binary search on each digit in a number than the whole number in large numbers since that way scales linearly and normal binary search scales exponentially ?
binary search is an efficient algorithm for finding an item from an ordered list of items . it works by repeatedly dividing in half the portion of the list that could contain the item , until you 've narrowed down the possible locations to just one . we used binary search in the guessing game in the introductory tutori...
we assume that the lowest possible number is one , but it would be easy to modify the algorithm to take the lowest possible number as a second input . here 's a pseudocode description of binary search : let $ min = 1 $ and $ max = n $ . guess the average of $ max $ and $ min $ , rounded down so that it is an integer .
i 'm very rusty on javascript , so that probably explains my ignorance here , but on step 2 , why are dollar signs used around the `` min '' but not the `` max '' ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
the term scalar multiplication refers to the product of a real number and a matrix . in scalar multiplication , each entry in the matrix is multiplied by the given scalar . in contrast , matrix multiplication refers to the product of two matrices .
why does a 2x3 multiplied by a 3x2 become a 2x2 ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
it is an ordered list of $ n $ numbers . we can find the dot product of two $ n $ -tuples of equal length by summing the products of corresponding entries . for example , to find the dot product of two ordered pairs , we multiply the first coordinates and the second coordinates and add the results .
can we take the dot product of two n-tuples of unequal length ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
to help our understanding , let 's label the rows in matrix $ a $ and the columns in matrix $ b $ . we can define the product matrix , matrix $ c $ , as shown below . notice that each entry in matrix $ c $ is the dot product of a row in matrix $ a $ and a column in matrix $ b $ . specifically , the entry $ c_ { \blued ...
is a square matrix containing a row or column of zeros invertible ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
similarly , column $ 1 $ is denoted $ \goldd { \vec { c_1 } } = ( 6,4 ) $ and column $ 2 $ is denoted $ \goldd { \vec { c_2 } } = ( 2,3 ) $ . check your understanding matrix multiplication we are now ready to look at an example of matrix multiplication . given $ a=\left [ \begin { array } { rr } { 1 } & amp ; 7 \ 2 & a...
can someone 'unmess ' my understanding , please ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
given $ a=\left [ \begin { array } { rr } { 1 } & amp ; 7 \ 2 & amp ; 4 \end { array } \right ] $ and $ b=\left [ \begin { array } { rr } { 3 } & amp ; 3 \ 5 & amp ; 2 \end { array } \right ] $ , let 's find matrix $ c=ab $ . to help our understanding , let 's label the rows in matrix $ a $ and the columns in matrix $ ...
what is the purpose learning to multiply matrix ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
the expression $ \vec { a } \cdot \vec { b } $ indicates the dot product of these two ordered triples and can be found as follows : $ \begin { align } \vec { a } \cdot \vec { b } & amp ; = ( \purplec 3 , \greend1 , \maroonc8 ) \cdot ( \purplec4 , \greend2 , \maroonc3 ) \\ & amp ; =\purplec3\cdot \purplec4+\greend1\cdot...
why is the word 'vector ' missing from the section about 'n-tuples ' ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
understanding how to find the dot product of two ordered lists of numbers can help us tremendously in this quest , so let 's learn about that first ! $ n $ -tuples and the dot product we are familiar with ordered pairs , for example $ ( 2,5 ) $ , and perhaps even ordered triples , for example $ ( 3,1,8 ) $ . an $ n $ -...
just curious , can you multiply 2 n-tuples of different length ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
check your understanding matrices and $ n $ -tuples when multiplying matrices , it 's useful to think of each matrix row and column as an $ n $ -tuple . in this matrix , row $ 1 $ is denoted $ \blued { \vec { r_1 } } = ( 6,2 ) $ and row $ 2 $ is denoted $ \blued { \vec { r_2 } } = ( 4,3 ) $ . similarly , column $ 1 $ i...
can anyone solve this question with each legal step -- -have a look q. let m * [ 1 1 ] = [ 1 2 ] where m is a matrix , find the matrix m ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
$ \begin { align } ( \purplec2 , \greend5 ) \cdot ( \purplec3 , \greenc1 ) & amp ; =\purplec2\cdot \purplec3+\greend5\cdot \greend1\ \ & amp ; =6+5\ \ & amp ; =11 \end { align } $ ordered $ n $ -tuples are often indicated by a variable with an arrow on top . for example , we can let $ \vec { a } = ( 3,1,8 ) $ and $ \ve...
if a and b are matrices does a * b = b * a ?
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry . for example , matrix $ a $ has $ 2 $ rows and $ 3 $ columns . the element $ a_ { \blued2 , \goldd1 } $ is the entry in...
what you should be familiar with before taking this lesson a matrix is a rectangular arrangement of numbers into rows and columns . each number in a matrix is referred to as a matrix element or entry .
peter piper picked a peck of pickled peppers ; a peck of pickled peppers peter piper picked ; if peter piper picked a peck of pickled peppers , where 's the peck of pickled peppers peter piper picked ?
overview the women ’ s rights movement of the mid-1800s gained traction through abolitionist sentiment and religious fervor surrounding the second great awakening . the declaration of rights and sentiments , published at the seneca falls convention in 1848 , used constitutional language to underline the inconsistencies...
it declared , “ we hold these truths to be self-evident : that all men and women are created equal ; that they are endowed by their creator with certain inalienable rights ; that among these are life , liberty , and the pursuit of happiness. ” “ the history of mankind , ” the document continued , “ is a history of repe...
what gave men the right to be so judgmentall ?
overview the women ’ s rights movement of the mid-1800s gained traction through abolitionist sentiment and religious fervor surrounding the second great awakening . the declaration of rights and sentiments , published at the seneca falls convention in 1848 , used constitutional language to underline the inconsistencies...
what do you think ? compare and contrast the mid-19th century women ’ s rights movement and the abolition movement . how did the beginning of the women ’ s rights movement challenge gender norms ? how did it reinforce them ?
were there some men that were for the women 's rights movement ?
overview the women ’ s rights movement of the mid-1800s gained traction through abolitionist sentiment and religious fervor surrounding the second great awakening . the declaration of rights and sentiments , published at the seneca falls convention in 1848 , used constitutional language to underline the inconsistencies...
it declared , “ we hold these truths to be self-evident : that all men and women are created equal ; that they are endowed by their creator with certain inalienable rights ; that among these are life , liberty , and the pursuit of happiness. ” “ the history of mankind , ” the document continued , “ is a history of repe...
are women considered inferior , superior , or towards the equals of men ?
overview the women ’ s rights movement of the mid-1800s gained traction through abolitionist sentiment and religious fervor surrounding the second great awakening . the declaration of rights and sentiments , published at the seneca falls convention in 1848 , used constitutional language to underline the inconsistencies...
the declaration of rights and sentiments , published at the seneca falls convention in 1848 , used constitutional language to underline the inconsistencies between national commitments to human equality and the treatment of women . women leveraged their specialty in all things involving the private sphere—the home—to o...
did women truly believe in the abolition of slavery , or did they advocate this for only women ?
venice - another world petrarch , the fourteenth-century tuscan poet , called venice a `` mundus alter '' or `` another world , '' and the city of canals really is different from other renaissance centers like florence or rome . venice is a cluster of islands , connected by bridges and canals , and until the mid-19th c...
( see this effect in the rosy flush of the venus of urbino ’ s cheeks by titian or in the blue-orange clouds in giorgione ’ s adoration of the shepherds— above ) . plus , when oil paint dries it stays somewhat translucent . as a result , all of those thin layers reflect light and the surface shines .
was oil paint adopted due to its natural resistance to moisture ?
venice - another world petrarch , the fourteenth-century tuscan poet , called venice a `` mundus alter '' or `` another world , '' and the city of canals really is different from other renaissance centers like florence or rome . venice is a cluster of islands , connected by bridges and canals , and until the mid-19th c...
the trio transformed saintly stories into relatable human drama ( veronese ’ s the dream of st. helena ) , captured the wit and wealth of portrait subjects ( titian ’ s portrait of a man ) , and interpreted nature through mythological tales ( tintoretto ’ s the origin of the milky way ) . essay by dr. heather a. horton...
why is there so much info about art from the tiny state of venice , but very , very little about eastern european art from these eras ?
venice - another world petrarch , the fourteenth-century tuscan poet , called venice a `` mundus alter '' or `` another world , '' and the city of canals really is different from other renaissance centers like florence or rome . venice is a cluster of islands , connected by bridges and canals , and until the mid-19th c...
the trio transformed saintly stories into relatable human drama ( veronese ’ s the dream of st. helena ) , captured the wit and wealth of portrait subjects ( titian ’ s portrait of a man ) , and interpreted nature through mythological tales ( tintoretto ’ s the origin of the milky way ) . essay by dr. heather a. horton...
how did the venetian school of art influence the renaissance artists and architecture ?
venice - another world petrarch , the fourteenth-century tuscan poet , called venice a `` mundus alter '' or `` another world , '' and the city of canals really is different from other renaissance centers like florence or rome . venice is a cluster of islands , connected by bridges and canals , and until the mid-19th c...
painters also experimented more with the textural differences produced by thick versus thin application of paint . in the late renaissance titian ’ s mastery was rivaled by tintoretto and veronese . each attempted to out-paint the other with increasingly dynamic and sensual subjects for local churches and international...
so most of the events in the late renaissance was in venice ?
venice - another world petrarch , the fourteenth-century tuscan poet , called venice a `` mundus alter '' or `` another world , '' and the city of canals really is different from other renaissance centers like florence or rome . venice is a cluster of islands , connected by bridges and canals , and until the mid-19th c...
as a result , all of those thin layers reflect light and the surface shines . painting conservators have even found that bellini , giorgione , and titian added ground-up glass to their pigments to better reflect light . venetian painting in the 16th century over the next century venetian painters pursued innovative com...
what do you mean with `` bellini , giorgione , and titian added ground-up glass to their pigments '' ?
overview in the 1950s and 1960s , young americans had more disposable income and enjoyed greater material comfort than their forebears , which allowed them to devote more time and money to leisure activities and the consumption of popular culture . rock and roll , a new style of music which drew inspiration from africa...
where there had been only 178,000 televisions in homes in 1948 , by 1955 , over three-quarters of a million us households—about half of all homes—had television . various types of programs were broadcast on the handful of major networks : situation comedies , variety programs , game shows , soap operas , talk shows , m...
what are police procedural shows ?
in this series of articles , we ’ re going to take an in-depth look at the sat reading test . on the test , you will encounter a variety of passages broken into three content areas : u.s. and world literature . includes prose fiction texts , both contemporary and classic , by american and international authors . these ...
questions will ask you to determine relationships between the graphic or to analyze how two paired passages relate to one another . on official sat practice with khan academy , students will see the categories of literature , history , social science , and science . the founding documents and great global conversation ...
what words are we expecting to see in the new sat ?
in this series of articles , we ’ re going to take an in-depth look at the sat reading test . on the test , you will encounter a variety of passages broken into three content areas : u.s. and world literature . includes prose fiction texts , both contemporary and classic , by american and international authors . these ...
the founding documents and great global conversation texts can be found under the history category . you will not need to know the names of these categories for the test , but this gives you an idea of the passage content . start practicing your reading test skills now !
how can you become a faster reader and still understand the passage at the same time ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
in exchange for the power to appoint its governors , north loaned the company £1.5 million—the equivalent of about \ $ 270 million today. $ ^2 $ north also granted the company a monopoly on the right to sell tea in the north american colonies . the boston tea party as the british authorized the shipment of thousands of...
was the boston tea party an effective form of protest against british taxes ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
in exchange for the power to appoint its governors , north loaned the company £1.5 million—the equivalent of about \ $ 270 million today. $ ^2 $ north also granted the company a monopoly on the right to sell tea in the north american colonies . the boston tea party as the british authorized the shipment of thousands of...
so is it correct to say that the reason the colonists were against the tea act was because there was too much tea thus too many taxes ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
boston was the center of colonial revolutionary fervor , and its radicals did not take kindly to hutchinson ’ s demands . the sons of liberty , a secret society formed by radical colonists to protest british taxation policies after the passage of the stamp act in 1765 , spearheaded the opposition to the tea act. $ ^3 $...
why id the sons of liberty just wear a mask instead of full on clothes ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
boston was the center of colonial revolutionary fervor , and its radicals did not take kindly to hutchinson ’ s demands . the sons of liberty , a secret society formed by radical colonists to protest british taxation policies after the passage of the stamp act in 1765 , spearheaded the opposition to the tea act. $ ^3 $...
why did sons of liberty choose to disguise native americans except for hiding their identity ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
the coercive acts levied fines for the destroyed tea , sent british troops to boston , and rewrote the colonial charter of massachusetts , giving broadly expanded powers to the royally appointed governor . british taxation policies after the conclusion of the seven years ’ war in 1763 , the british empire was in financ...
by the end of the american revolution , was the british empire in extreme debt ?
overview the boston tea party , which involved the willful destruction of 342 crates of british tea , proved a significant development on the path to the american revolution . the boston tea party , which occurred on december 16 , 1773 and was known to contemporaries as the destruction of the tea , was a direct respons...
in exchange for the power to appoint its governors , north loaned the company £1.5 million—the equivalent of about \ $ 270 million today. $ ^2 $ north also granted the company a monopoly on the right to sell tea in the north american colonies . the boston tea party as the british authorized the shipment of thousands of...
is there any specific scene 's during the tea party ?
overview the second continental congress convened in philadelphia in the summer of 1775 , shortly after the war with the british had begun . it was preceded by the first continental congress in the fall of 1774 . the congress appointed george washington as commander of the continental army , and authorized the raising ...
the congress appointed george washington as commander of the continental army , and authorized the raising of the army through conscription . on july 4 , 1776 , the congress issued the declaration of independence , which for the first time asserted the colonies ’ intention to be fully independent of the mother country ...
were federalists and/or democratic republicans created by this time period ?
overview the second continental congress convened in philadelphia in the summer of 1775 , shortly after the war with the british had begun . it was preceded by the first continental congress in the fall of 1774 . the congress appointed george washington as commander of the continental army , and authorized the raising ...
it did not have the authority to raise taxes , nor did it have the ability to regulate commerce . on july 4 , 1776 , the congress took a momentous step and issued the declaration of independence . although the delegates were partly motivated by the necessity of securing foreign allies—particularly the french—to assist ...
when congress issued the declaration of independance , did n't england fight again or try to stop them ?
overview the second continental congress convened in philadelphia in the summer of 1775 , shortly after the war with the british had begun . it was preceded by the first continental congress in the fall of 1774 . the congress appointed george washington as commander of the continental army , and authorized the raising ...
the congress established itself as the central governing authority under the articles of confederation , which remained in force until 1788 . fighting the revolutionary war in april 1775 , at lexington and concord in massachusetts , war between britain and its north american colonies broke out . in order to direct the ...
just to confirm , was the declaration explaining lexington and concord or basically informing the british that the colonies were declaring a full-blown war ( starting the revolutionary war ) ?
“ the beautiful woman ” genre of chinese painting throughout the history of chinese art , painters never tired of adopting beautiful female figures as the subject of their depictions . with a stable political structure , flourishing economy and prosperous culture , the genre of “ beautiful women painting ” ( meirenhua ...
literary records provide clues for another symbolic meaning associated with this conventional practice . the ninth-century scholar wang renyu documented that every springtime , the tang dynasty emperor xuanzong ( who ruled from 685–762 ) organized a banquet and required palace women to wear blossoms in their hair . sho...
is there good evidence that the emperor xuanzong actually ruled for 77 years ?
the caliphates the umbrella term `` islamic art '' casts a pretty big shadow , covering several continents and more than a dozen centuries . so to make sense of it , we first have to first break it down into parts . one way is by medium—say , ceramics or architecture—but this method of categorization would entail looki...
geography is another means of organization , but modern political boundaries rarely match the borders of past islamic states . a common solution is to consider instead , the historical caliphates ( the states ruled by those who claimed legitimate islamic rule ) or dynasties . though these distinctions are helpful , it ...
what made the caliphates `` legitimate '' ... i would think that the only thing that legitimizes a ruling government is the consent of the governed ( in most cases a democracy ) ... were the caliphates anything like a democracy ?
the caliphates the umbrella term `` islamic art '' casts a pretty big shadow , covering several continents and more than a dozen centuries . so to make sense of it , we first have to first break it down into parts . one way is by medium—say , ceramics or architecture—but this method of categorization would entail looki...
the caliphates the umbrella term `` islamic art '' casts a pretty big shadow , covering several continents and more than a dozen centuries . so to make sense of it , we first have to first break it down into parts .
what is a umbrella term ?
the caliphates the umbrella term `` islamic art '' casts a pretty big shadow , covering several continents and more than a dozen centuries . so to make sense of it , we first have to first break it down into parts . one way is by medium—say , ceramics or architecture—but this method of categorization would entail looki...
the first years following the death of muhammad were , of course , formative for the religion and its artwork . the immediate needs of the religion included places to worship ( mosques ) and holy books ( korans ) to convey the word of god . so , naturally , many of the first artistic projects included ornamented mosque...
can someone explain which is `` correct '' , or why some mosques are ornamental and heavily decorated while others are bare and modest ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
why does n't mars have a magnetic field like earth ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
if we look at the history of martian rock more broadly we notice we see 2 phases in the geologic record : “ iron/magnesium clays ” and then “ aluminum clays ” . iron/magnesium clays form when the ratio of water interacting with rock is low . while aluminum clays are signs of a high water/rock ratio as soluble elements ...
would you be able to explain to me how the magnetic field would disappear without gold or iron ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
this means that the crater was once filled with water . below is an artist 's rendition of a hypothetical sea that may have once filled mars ’ largest crater , hellas , located in the planet ’ s southern hemisphere . if we look at the history of martian rock more broadly we notice we see 2 phases in the geologic record...
is the magnetic sphere what gives the planet an atmosphere ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
it is believed that these streaks are formed by short term discharge of salty waters when mars heats up briefly in the summer . if we look at ancient mars using this topographic map , we see enormous outflow channels and valleys into blue depression . so water wasn ’ t “ short term ” in the past as it is today .
in the topographic map , what do the red parts mean ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages .
why mars why not mercury to explore first ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
why does n't mars have a magnetic field like earth ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid water during periods of warming . here is nasa ’ s hypothesised history of water on mars : today we still find evidence of ice below the surface when ast...
why dont you have the rover dig down and extract the ice ?
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages . this ice cycles back to liquid w...
a mild history curiosity will land in a region where this key item on the checklist of life ’ s requirements has already been determined : it was wet . how could have mars been wet ? mars axis isn ’ t stable like earth , and when it tilts extremely the poles grow resulting in ice ages .
how did mars ' atmosphere get thin and/or why is it that way ?