Alice uses a biased coin to create a one-time pad to encrypt a message m of 1 bit. The coin
comes up 1 (Heads) 60% of the times and 0 (Tails) 40% of the times. Alice sends 0 as a message
75% of the times and 1 as a message 25% of the times. All of this is publicly known. Eve sees
cipher c = 1. What was the probability that m = 1?
Solution
An encryption scheme (E, D) is perfectly secret if there for every set M {0, 1} ` of plaintexts,
and for every strategy used by Eve, if we choose at random m M and a random key k {0, 1} n,
then the probability that Eve guesses m after seeing Ek(m) is at most 1/|M|.
In particular, if we encrypt either “Yes” or “No” with probability 1/2, then Eve won’t be able to
guess which one it is with probability better than half. In fact, that turns out to be the heart of the
matter:
Two to Many Theorem: An encryption scheme (E, D) is perfectly secret if and only if for every
two distinct plaintexts {m0, m1} {0, 1} ` and every strategy used by Eve, if we choose at
random b {0, 1} and a random key k {0, 1} n, then the probability that Eve guesses mb after
seeing Ek(mb) is at most 1/2.
Proof: The “only if” direction is obvious— this condition is a special case of the perfect secrecy
condition for a set m of size 2
The “if” direction is trickier. We need to show that if there is some set M (of size possibly much
larger than 2) and some strategy for Eve to guess (based on the ciphertext) a plaintext chosen
from M with probability larger than 1/|M|, then there is also some set M0 of size two and a
strategy Eve0 for Eve to guess a plaintext chosen from M0 with probability larger than 1/2.
Let’s fix the message m0 for example to be the all zeroes message. Since Eve(Ek(m0)) is a fixed
string, if we pick a random m1 from M then it holds that
Pr[Eve(Ek(m0)) = m1] 1/|M|
while under our assumption, on average it holds that
Pr[Eve(Ek(m1)) = m1] > 1/|M|
Thus in particular, due to linearity of expectation, there exists some m1 satisfying
Pr[Eve(Ek(m1)) = m1] > Pr[Eve(Ek(m0)) = m1] .
But this can be turned into an attacker Eve0 such that the probability that Eve0 (Ek(mb)) = mb is
larger than 1/2. Indeed, we can define Eve0 (c) to output m1 if Eve(c) = m1 and otherwise output
a random message in {m0, m1}. The probability that Eve0 (c) equals m1 is higher when c =
Ek(m1) than when c = Ek(m0), and since Eve0 outputs either m0 or m1, this means that the
probability that Eve0 (Ek(mb)) = mb is larger than 1/2 (Can you see why?) QED.
Exercise: Another equivalent condition for perfect secrecy is the following: (E, D) is perfectly
secret if for every plaintexts m, m0 {0, 1} ` , the two random variables {Ek(m)} and {Ek0 (m0
)} (for randomly chosen keys k and k 0 ) have precisely the same distribution.
So, perfect secrecy is a natural condition, and does not seem to be too weak for applications, but
can it actually be achieved? After all, the condition that two different plaintexts are mapped to
the same distribution seems somewhat at odds with th.
I am Joe M. I am an Excel Homework Expert at excelhomeworkhelp.com. I hold a Master's in Statistics, from the Gold Coast, Australia. I have been helping students with their homework for the past 6 years. I solve homework related to Excel.
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I am Falid B. I am a Mathematical Statistics Assignment Expert at excelhomeworkhelp.com. I hold a Master's in Statistics, from George Town, Malaysia. I have been helping students with their assignments for the past 6 years. I solved an assignment related to Mathematical Statistics.
Visit excelhomeworkhelp.com or email info@excelhomeworkhelp.com. You can also call on +1 678 648 4277 for any assistance with Mathematical Statistics Assignment.
I am Falid B. I am a Mathematical Statistics Assignment Help Expert at statisticshomeworkhelper.com. I hold a Master's in Statistics, from George Town, Malaysia.I have been helping students with their assignment for the past 6 years. I solve assignments related to Mathematical Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.You can also call on +1 678 648 4277 for any assistance with Mathematical Statistics Assignment.
I am Joe M. I am a Statistics Homework Expert at statisticshomeworkhelper.com. I hold a Master's in Statistics, from the Gold Coast, Australia. I have been helping students with their homework for the past 6 years. I solve homework related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.You can also call on +1 678 648 4277 for any assistance with Statistics Homework.
I am Joe M. I am an Excel Homework Expert at excelhomeworkhelp.com. I hold a Master's in Statistics, from the Gold Coast, Australia. I have been helping students with their homework for the past 6 years. I solve homework related to Excel.
Visit excelhomeworkhelp.com or email info@excelhomeworkhelp.com.
You can also call on +1 678 648 4277 for any assistance with Excel Homework.
I am Falid B. I am a Mathematical Statistics Assignment Expert at excelhomeworkhelp.com. I hold a Master's in Statistics, from George Town, Malaysia. I have been helping students with their assignments for the past 6 years. I solved an assignment related to Mathematical Statistics.
Visit excelhomeworkhelp.com or email info@excelhomeworkhelp.com. You can also call on +1 678 648 4277 for any assistance with Mathematical Statistics Assignment.
I am Falid B. I am a Mathematical Statistics Assignment Help Expert at statisticshomeworkhelper.com. I hold a Master's in Statistics, from George Town, Malaysia.I have been helping students with their assignment for the past 6 years. I solve assignments related to Mathematical Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.You can also call on +1 678 648 4277 for any assistance with Mathematical Statistics Assignment.
I am Joe M. I am a Statistics Homework Expert at statisticshomeworkhelper.com. I hold a Master's in Statistics, from the Gold Coast, Australia. I have been helping students with their homework for the past 6 years. I solve homework related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.You can also call on +1 678 648 4277 for any assistance with Statistics Homework.
I am Ben R. I am a Statistics Assignment Expert at statisticshomeworkhelper.com. I hold a Ph.D. in Statistics, from University of Denver, USA. I have been helping students with their homework for the past 5 years. I solve assignments related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.
You can also call on +1 678 648 4277 for any assistance with Statistics Assignment.
At our company, we understand that statistics homework help can be a challenging subject, and we are here to help. Whether you are struggling with probability or any other aspect of statistics, our experienced tutors are ready to guide you through the material and help you to achieve your academic goals. Contact us today to learn more about our statistics homework help services.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Homework.
Math for Intelligent Systems - 01 Linear Algebra 01 Vector SpacesAndres Mendez-Vazquez
These are the initial notes for a class I am preparing for this summer in the Mathematics of Intelligent Systems. we will start with the vectors spaces, their basis and dimensions. The, we will look at one the basic applications the linear regression.
Black hole formation by incoming electromagnetic radiationXequeMateShannon
I revisit a known solution of the Einstein field equations to show that it describes the formation of non-spherical black holes by the collapse of pure electromagnetic monochromatic radiation. Both positive and negative masses are feasible without ever violating the dominant energy condition. The solution can also be used to model the destruction of naked singularities and the evaporation of white holes by emission or reception of light.
International Journal of Mathematics and Statistics Invention (IJMSI)inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Imagine a spherical balloon filled wild helium- the balloon itself is.pdfdhavalbl38
Imagine a spherical balloon filled wild helium- the balloon itself is magically crafted to expand
and contract freely without exerting any restorative force Some weights (with negligible volume)
are hung from the balloon such that the total mass of helium + balloon + weights is m Assume
the balloon is surrounded by with constant density p_0 and constant pressure P_0, independent
of altitude.
Solution
Gas equation PV = nRT
As the pressure P is constant
P dV/dt = nR dT/dt
dV/dt =nR/P dT/dt
initial condition P0V0 = nRT0
dV/dt = (V0/T0) dT/dt
upward thrust on the ballon
F = Vg – mg
Differentiate with t , we have
dF/dt = gdV/dt
initial the balloon is at rest hence
V0 g – mg = 0 hence m = V0
mda/dt = gdV/dt
= g*(V0/T0)* dT/dt
da/dt = g/T0 * dT/dt
we can express rate of change of acceleration in terms of g, which has units of acceleration
da/dt = (1/T0)dT/dt
integrating it
a(t) = T(t)/T0
given T(t) = T0(2 - 1/t+1)
a(t) = 2 – 1/t+1
dv(t)/dt = 2 – 1/t+1
v(t) = 2t – ln(t+1).
If a substance has a pH of 4, is it acidic or basic. What type of io.pdfdhavalbl38
If a substance has a pH of 4, is it acidic or basic. What type of ion is it going to give off when
dissolved in water?
Solution
If a substance has a pH of 4, it is acidic in nature.
An acid donates hydrogen ions. So,when this acid is dissolved in water (H2O), the balance
between hydrogen ions and hydroxide ions is shifted. There will be more hydrogen ions rather
than hydroxide ions in the solution. This kind of solution is called acidic solution.
H2O -----------------> H+ + OH-
Note:
If,
pH < 7 = Acidic in nature
pH = 7 = Neutral solutions
pH > 7 = Basic / Alkaline in nature.
Help with answering these questions for my Human Health Class Biolog.pdfdhavalbl38
Help with answering these questions for my Human Health Class Biology 2020
INGREDIENTS: COOKED FETTUCCINI PASTA (WATER, SEMOLINA [DURUM
WHEAT, NIACIN, IRON, FERROUS SULFATE, THIAMINE MONONITRATE,
RIBOFLAVIN, FOLIC ACID], EGG WHITES), GARLIC BREAD (BLEACHED ENRICHED
FLOUR [MALTED BARLEY FLOUR, NIACIN, REDUCED IRON, THIAMINE
MONONITRATE, RIBOFLAVIN, FOLATE], WATER, VEGETABLE OIL [SOYBEAN
AND/OR COTTONSEED OIL], YEAST, SALT, HIGH FRUCTOSE CORN SYRUP,
ENRICHED WHEAT FLOUR [FLOUR, NIACIN, REDUCED IRON, THIAMINE
MONONITRATE, RIBOFLAVIN, FOLIC ACID], DATEM, VEGETABLE SHORTENING
[PARTIALLY HYDROGENATED SOYBEAN OIL, TBHQ ADDED TO PRESERVE
FRESHNESS], CONTAINS LESS THAN 2% OF THE FOLLOWING: ASCORBIC ACID, L-
CYSTEINE HYDROCHLORIDE, AZODICAR-BONAMIDE, ENZYMES, CALCIUM
PEROXIDE, CALCIUM PROPIONATE, ENZYME, TOPPINGS [LIQUID AND PARTIALLY
HYDROGENATED SOYBEAN OIL, WATER, SALT, LECITHIN, MONOGLYCERIDES,
SODIUM BENZOATE {PRESERVATIVE}, CITRIC ACID, NATURAL FLAVOR,
ARTIFICIAL FLAVOR, BETA CAROTENE, VITAMIN A PALMITATE, CALCIUM
DISODIUM EDTA {TO PROTECT FLAVOR}, PARSLEY FLAKES]), WATER, CARROTS,
BROCCOLI, HEAVY WHIPPING CREAM, SOYBEAN OIL, CREAM CHEESE
(PASTEURIZED MILK AND CREAM, CHEESE CULTURES, SALT, CAROB BEAN GUM),
ROMANO (FROM COW’S MILK) AND PARMESAN CHEESE (PART-SKIM MILK,
CHEESE CULTURES, SALT, ENZYMES, CELLULOSE POWDER [PREVENTS CAKING]),
HALF AND HALF (MILK, CREAM), CONTAINS 2% OR LESS OF: GARLIC SHERRY
WINE, STABILIZER (MODIFIED FOOD STARCH, SODIUM PHOSPHATE, MONO- AND
DIGLYCERIDES, DEHYDRATED GARLIC, XANTHAN AND GUAR GUMS, SALT,
PAPRIKA), SUGAR, SALT, BUTTER (CREAM, SALT), FLAVORINGS, BUTTER FLAVOR
(PARTIALLY HYDROGENATED SOYBEAN OIL, FLAVOR [BUTTER OIL, ENZYME
MODIFIED BUTTERFAT, WHEY POWDER, NONFAT DRY MILK POWDER, SOY
LECITHIN {EMULSIFIER}]), POLYGLYCEROL ESTERS OF FATTY ACIDS, SPICE,
PAPRIKA, BETA CAROTENE.
Nutrition Facts
Serving Size 1 Meal (397g)
Amount Per Serving
Calories 770
Calories from Fat 420
% Daily Value*
Total Fat 46g
?%
Saturated Fat 16g
?%
Trans Fat 0.5g
Cholesterol 30mg
?%
Sodium 129mg
?%
Total Carbohydrate 69g
?%
Dietary Fiber 11g
?%
Sugars 9g
Protein 19g
Vitamin A 80%
•
Vitamin C 0%
Calcium 35%
•
Iron 6%
* Percent Daily Values are based on a 2,000 calorie diet. Your Daily Values may be higher or
lower depending on your calorie needs.
Calories
2,000
2,500
Total Fat
Less than
65g
80g
Sat Fat
Less than
20g
25g
Cholesterol
Less than
300mg
300mg
Sodium
Less than
2400mg
2400mg
Total Carbohydrate
300g
375g
Dietary Fiber
25g
30g
Referring to the label above:
1. a. Is this product a good source of fiber?
b. Calculate the percentage of the Daily Value for fiber for a 2,500-calorie diet that is
contributed by this product.
c. Calculate the percentage of the DRI for a 2,500-calorie diet that is contributed by this
product.
2. Is this a nutrient-dense product? Why or why not?
3. What percentage of the Daily Value for total carbohydrate (for 2,000 calories) comes from
this product?
Label Analysis—Lipids (from chapter 5)
Instructions: Use t.
For each task, submit your source java code file.(1) Objective Im.pdfdhavalbl38
For each task, submit your source java code file.
(1) Objective: Implement Link List
Write a class that maintains the scores for a game application. Implement the addition and
removal function to update the database. The gamescore.txt contains player’ name and score data
record fields separated by comma. For Removal function, uses the name field to select record to
remove the game score record.
Download – List.java, LList.java, Dlink.java, GameEntry.java, gamescore.txt
(a)Read gamescore.txt to initialize the Linked list in sorted order. (1 point)
(b)Provide Remove and Add function for user to update the sorted linked list. (1 point)
(2)Add a reverse function to the LList.java class to reverse the order of the linked list. (2 points).
---------------------------------------------------------------------------------------------------------------------
-----------------------------------------
//gamescore.txt
Mike,1105
Rob,750
Paul,720
Anna,660
Rose,590
Jack,510
--------------------------------------------------------------------------------------------------------------------
-----------------------------------------------------------------------
//DLink.java
/** Source code example for \"A Practical Introduction to Data
Structures and Algorithm Analysis, 3rd Edition (Java)\"
by Clifford A. Shaffer
Copyright 2008-2011 by Clifford A. Shaffer
*/
/** Doubly linked list node */
class DLink {
private E element; // Value for this node
private DLink next; // Pointer to next node in list
private DLink prev; // Pointer to previous node
/** Constructors */
DLink(E it, DLink p, DLink n)
{ element = it; prev = p; next = n; }
DLink(DLink p, DLink n) { prev = p; next = n; }
/** Get and set methods for the data members */
DLink next() { return next; }
DLink setNext(DLink nextval)
{ return next = nextval; }
DLink prev() { return prev; }
DLink setPrev(DLink prevval)
{ return prev = prevval; }
E element() { return element; }
E setElement(E it) { return element = it; }
}
--------------------------------------------------------------------------------------------------------------------
---------------------------------------------------------------------
//GameEntry.java
public class GameEntry {
protected String name;
protected int score;
public GameEntry(String n, int s) {
name = n;
score = s;
}
public String getName() {return name;}
public int getScore() {return score;}
public String toString() {
return \"(\"+name+\",\"+score+\")\";
}
}
--------------------------------------------------------------------------------------------------------------------
----------------------------------
//List.java
/** Source code example for \"A Practical Introduction to Data
Structures and Algorithm Analysis, 3rd Edition (Java)\"
by Clifford A. Shaffer
Copyright 2008-2011 by Clifford A. Shaffer
*/
/** List ADT */
public interface List {
/** Remove all contents from the list, so it is once again
empty. Client is responsible for reclaiming storage
used by the list elements. */
p.
Emperor penguins live on a diet of fish and crustaceans obtained fro.pdfdhavalbl38
Emperor penguins live on a diet of fish and crustaceans obtained from cold Antarctic seawaters.
However, during their breeding cycle, they migrate to inland breeding grounds nearly 100 km
away from their source of food. As a result, male emperor penguins do not eat for the two
months that they protect and incubate the single egg laid by their mate. During this time, each of
the tens of thousands of male penguins can lose up to 50% of its body mass (by dry weight).
Where does the majority of this penguin mass go?A. The mass is converted to energy and used
up.B. The mass is converted to urine and feces and eliminated from the body.C. The mass is
converted to ATP molecules.D. The mass is released as CO2 and H2O.
Solution
DURING THIS PERIOD THE MASS WOULD BE USED UP IN FORM OF ENERGY
REQUIRED DURING SUCH PERIOD. OPTION A. The mass is converted to energy and used
up. is answer.
Even before the Ownership Society programs of Presidents Clinton.pdfdhavalbl38
Even before the \\Ownership Society\" programs of Presidents Clinton and Bush, the federal
government was heavily involved in the housing market. In a study just prior to the foreclosure
crisis starting in 2008, the Urban Institute started about 80% of the estimated $200 billion
of federal housing subsidies consisted of tax breaks. Samples indicated that federal housing
benefits average $8,268 for those with incomes $200,000 and $500,000 and only $365 for those
with incomes of $40,000 to $50,000. The respective standard deviations were $2,100 and $150.
They were obtained from sample sizes of 150.
1. the statistical test obtained is 45.9741 and p value is 0.0000. Test whether the benefits
to the high income group are at least $7,500 more than the benefits to the low income
group using = 0:05. Make sure to state the null and the alternative hypotheses. Assume
bene ts are normally distributed for both income groups.
Solution.
Do the following picSolutionHere is the solution for the .pdfdhavalbl38
Do the following pic:
Solution
Here is the solution for the first 2 problems in the pic:
#include
using namespace std;
template
class Dec
{
public:
//hasDuplicate function that returns true if the private data member has an item that appears
twice or more in the list.
bool hasDuplicate();
//eraseAll function to remove all items which are equal to the item specified in the function
parameter.
void eraseAll(ElementType element);
//isLessThan function to determine if another Dec object is greater than the Dec object itself.
//If the summation of all items from the Dec object itself is less than the summation of all
//items from another Dec object, return true, otherwise, return false.
bool isLessThan(Dec other);
//push_second function to add an item after the first item if there are more than one items.
void push_second(ElementType element);
private:
vector dec;
};
template
bool Dec::hasDuplicate()
{
for(vector::iterator ot = dec.begin(); ot != dec.end(); ot++)
for(vector::iterator it = dec.begin() + ot + 1; it != dec.end(); it++)
if(*it == *ot)
return true;
return false;
}
template
bool Dec::isLessThan(Dec other)
{
int sum1 = 0, sum2 = 0;
for(vector::iterator it = dec.begin(); it != dec.end(); it++)
sum1 += *it;
for(vector::iterator it = other.dec.begin(); it != other.dec.end(); it++)
sum2 += *it;
return sum1 < sum2;
}.
More Related Content
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I am Ben R. I am a Statistics Assignment Expert at statisticshomeworkhelper.com. I hold a Ph.D. in Statistics, from University of Denver, USA. I have been helping students with their homework for the past 5 years. I solve assignments related to Statistics.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com.
You can also call on +1 678 648 4277 for any assistance with Statistics Assignment.
At our company, we understand that statistics homework help can be a challenging subject, and we are here to help. Whether you are struggling with probability or any other aspect of statistics, our experienced tutors are ready to guide you through the material and help you to achieve your academic goals. Contact us today to learn more about our statistics homework help services.
Visit statisticshomeworkhelper.com or email info@statisticshomeworkhelper.com. You can also call +1 (315) 557-6473 for assistance with Statistics Homework.
Math for Intelligent Systems - 01 Linear Algebra 01 Vector SpacesAndres Mendez-Vazquez
These are the initial notes for a class I am preparing for this summer in the Mathematics of Intelligent Systems. we will start with the vectors spaces, their basis and dimensions. The, we will look at one the basic applications the linear regression.
Black hole formation by incoming electromagnetic radiationXequeMateShannon
I revisit a known solution of the Einstein field equations to show that it describes the formation of non-spherical black holes by the collapse of pure electromagnetic monochromatic radiation. Both positive and negative masses are feasible without ever violating the dominant energy condition. The solution can also be used to model the destruction of naked singularities and the evaporation of white holes by emission or reception of light.
International Journal of Mathematics and Statistics Invention (IJMSI)inventionjournals
International Journal of Mathematics and Statistics Invention (IJMSI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJMSI publishes research articles and reviews within the whole field Mathematics and Statistics, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.
Similar to Alice uses a biased coin to create a one-time pad to encrypt a messa.pdf (15)
Imagine a spherical balloon filled wild helium- the balloon itself is.pdfdhavalbl38
Imagine a spherical balloon filled wild helium- the balloon itself is magically crafted to expand
and contract freely without exerting any restorative force Some weights (with negligible volume)
are hung from the balloon such that the total mass of helium + balloon + weights is m Assume
the balloon is surrounded by with constant density p_0 and constant pressure P_0, independent
of altitude.
Solution
Gas equation PV = nRT
As the pressure P is constant
P dV/dt = nR dT/dt
dV/dt =nR/P dT/dt
initial condition P0V0 = nRT0
dV/dt = (V0/T0) dT/dt
upward thrust on the ballon
F = Vg – mg
Differentiate with t , we have
dF/dt = gdV/dt
initial the balloon is at rest hence
V0 g – mg = 0 hence m = V0
mda/dt = gdV/dt
= g*(V0/T0)* dT/dt
da/dt = g/T0 * dT/dt
we can express rate of change of acceleration in terms of g, which has units of acceleration
da/dt = (1/T0)dT/dt
integrating it
a(t) = T(t)/T0
given T(t) = T0(2 - 1/t+1)
a(t) = 2 – 1/t+1
dv(t)/dt = 2 – 1/t+1
v(t) = 2t – ln(t+1).
If a substance has a pH of 4, is it acidic or basic. What type of io.pdfdhavalbl38
If a substance has a pH of 4, is it acidic or basic. What type of ion is it going to give off when
dissolved in water?
Solution
If a substance has a pH of 4, it is acidic in nature.
An acid donates hydrogen ions. So,when this acid is dissolved in water (H2O), the balance
between hydrogen ions and hydroxide ions is shifted. There will be more hydrogen ions rather
than hydroxide ions in the solution. This kind of solution is called acidic solution.
H2O -----------------> H+ + OH-
Note:
If,
pH < 7 = Acidic in nature
pH = 7 = Neutral solutions
pH > 7 = Basic / Alkaline in nature.
Help with answering these questions for my Human Health Class Biolog.pdfdhavalbl38
Help with answering these questions for my Human Health Class Biology 2020
INGREDIENTS: COOKED FETTUCCINI PASTA (WATER, SEMOLINA [DURUM
WHEAT, NIACIN, IRON, FERROUS SULFATE, THIAMINE MONONITRATE,
RIBOFLAVIN, FOLIC ACID], EGG WHITES), GARLIC BREAD (BLEACHED ENRICHED
FLOUR [MALTED BARLEY FLOUR, NIACIN, REDUCED IRON, THIAMINE
MONONITRATE, RIBOFLAVIN, FOLATE], WATER, VEGETABLE OIL [SOYBEAN
AND/OR COTTONSEED OIL], YEAST, SALT, HIGH FRUCTOSE CORN SYRUP,
ENRICHED WHEAT FLOUR [FLOUR, NIACIN, REDUCED IRON, THIAMINE
MONONITRATE, RIBOFLAVIN, FOLIC ACID], DATEM, VEGETABLE SHORTENING
[PARTIALLY HYDROGENATED SOYBEAN OIL, TBHQ ADDED TO PRESERVE
FRESHNESS], CONTAINS LESS THAN 2% OF THE FOLLOWING: ASCORBIC ACID, L-
CYSTEINE HYDROCHLORIDE, AZODICAR-BONAMIDE, ENZYMES, CALCIUM
PEROXIDE, CALCIUM PROPIONATE, ENZYME, TOPPINGS [LIQUID AND PARTIALLY
HYDROGENATED SOYBEAN OIL, WATER, SALT, LECITHIN, MONOGLYCERIDES,
SODIUM BENZOATE {PRESERVATIVE}, CITRIC ACID, NATURAL FLAVOR,
ARTIFICIAL FLAVOR, BETA CAROTENE, VITAMIN A PALMITATE, CALCIUM
DISODIUM EDTA {TO PROTECT FLAVOR}, PARSLEY FLAKES]), WATER, CARROTS,
BROCCOLI, HEAVY WHIPPING CREAM, SOYBEAN OIL, CREAM CHEESE
(PASTEURIZED MILK AND CREAM, CHEESE CULTURES, SALT, CAROB BEAN GUM),
ROMANO (FROM COW’S MILK) AND PARMESAN CHEESE (PART-SKIM MILK,
CHEESE CULTURES, SALT, ENZYMES, CELLULOSE POWDER [PREVENTS CAKING]),
HALF AND HALF (MILK, CREAM), CONTAINS 2% OR LESS OF: GARLIC SHERRY
WINE, STABILIZER (MODIFIED FOOD STARCH, SODIUM PHOSPHATE, MONO- AND
DIGLYCERIDES, DEHYDRATED GARLIC, XANTHAN AND GUAR GUMS, SALT,
PAPRIKA), SUGAR, SALT, BUTTER (CREAM, SALT), FLAVORINGS, BUTTER FLAVOR
(PARTIALLY HYDROGENATED SOYBEAN OIL, FLAVOR [BUTTER OIL, ENZYME
MODIFIED BUTTERFAT, WHEY POWDER, NONFAT DRY MILK POWDER, SOY
LECITHIN {EMULSIFIER}]), POLYGLYCEROL ESTERS OF FATTY ACIDS, SPICE,
PAPRIKA, BETA CAROTENE.
Nutrition Facts
Serving Size 1 Meal (397g)
Amount Per Serving
Calories 770
Calories from Fat 420
% Daily Value*
Total Fat 46g
?%
Saturated Fat 16g
?%
Trans Fat 0.5g
Cholesterol 30mg
?%
Sodium 129mg
?%
Total Carbohydrate 69g
?%
Dietary Fiber 11g
?%
Sugars 9g
Protein 19g
Vitamin A 80%
•
Vitamin C 0%
Calcium 35%
•
Iron 6%
* Percent Daily Values are based on a 2,000 calorie diet. Your Daily Values may be higher or
lower depending on your calorie needs.
Calories
2,000
2,500
Total Fat
Less than
65g
80g
Sat Fat
Less than
20g
25g
Cholesterol
Less than
300mg
300mg
Sodium
Less than
2400mg
2400mg
Total Carbohydrate
300g
375g
Dietary Fiber
25g
30g
Referring to the label above:
1. a. Is this product a good source of fiber?
b. Calculate the percentage of the Daily Value for fiber for a 2,500-calorie diet that is
contributed by this product.
c. Calculate the percentage of the DRI for a 2,500-calorie diet that is contributed by this
product.
2. Is this a nutrient-dense product? Why or why not?
3. What percentage of the Daily Value for total carbohydrate (for 2,000 calories) comes from
this product?
Label Analysis—Lipids (from chapter 5)
Instructions: Use t.
For each task, submit your source java code file.(1) Objective Im.pdfdhavalbl38
For each task, submit your source java code file.
(1) Objective: Implement Link List
Write a class that maintains the scores for a game application. Implement the addition and
removal function to update the database. The gamescore.txt contains player’ name and score data
record fields separated by comma. For Removal function, uses the name field to select record to
remove the game score record.
Download – List.java, LList.java, Dlink.java, GameEntry.java, gamescore.txt
(a)Read gamescore.txt to initialize the Linked list in sorted order. (1 point)
(b)Provide Remove and Add function for user to update the sorted linked list. (1 point)
(2)Add a reverse function to the LList.java class to reverse the order of the linked list. (2 points).
---------------------------------------------------------------------------------------------------------------------
-----------------------------------------
//gamescore.txt
Mike,1105
Rob,750
Paul,720
Anna,660
Rose,590
Jack,510
--------------------------------------------------------------------------------------------------------------------
-----------------------------------------------------------------------
//DLink.java
/** Source code example for \"A Practical Introduction to Data
Structures and Algorithm Analysis, 3rd Edition (Java)\"
by Clifford A. Shaffer
Copyright 2008-2011 by Clifford A. Shaffer
*/
/** Doubly linked list node */
class DLink {
private E element; // Value for this node
private DLink next; // Pointer to next node in list
private DLink prev; // Pointer to previous node
/** Constructors */
DLink(E it, DLink p, DLink n)
{ element = it; prev = p; next = n; }
DLink(DLink p, DLink n) { prev = p; next = n; }
/** Get and set methods for the data members */
DLink next() { return next; }
DLink setNext(DLink nextval)
{ return next = nextval; }
DLink prev() { return prev; }
DLink setPrev(DLink prevval)
{ return prev = prevval; }
E element() { return element; }
E setElement(E it) { return element = it; }
}
--------------------------------------------------------------------------------------------------------------------
---------------------------------------------------------------------
//GameEntry.java
public class GameEntry {
protected String name;
protected int score;
public GameEntry(String n, int s) {
name = n;
score = s;
}
public String getName() {return name;}
public int getScore() {return score;}
public String toString() {
return \"(\"+name+\",\"+score+\")\";
}
}
--------------------------------------------------------------------------------------------------------------------
----------------------------------
//List.java
/** Source code example for \"A Practical Introduction to Data
Structures and Algorithm Analysis, 3rd Edition (Java)\"
by Clifford A. Shaffer
Copyright 2008-2011 by Clifford A. Shaffer
*/
/** List ADT */
public interface List {
/** Remove all contents from the list, so it is once again
empty. Client is responsible for reclaiming storage
used by the list elements. */
p.
Emperor penguins live on a diet of fish and crustaceans obtained fro.pdfdhavalbl38
Emperor penguins live on a diet of fish and crustaceans obtained from cold Antarctic seawaters.
However, during their breeding cycle, they migrate to inland breeding grounds nearly 100 km
away from their source of food. As a result, male emperor penguins do not eat for the two
months that they protect and incubate the single egg laid by their mate. During this time, each of
the tens of thousands of male penguins can lose up to 50% of its body mass (by dry weight).
Where does the majority of this penguin mass go?A. The mass is converted to energy and used
up.B. The mass is converted to urine and feces and eliminated from the body.C. The mass is
converted to ATP molecules.D. The mass is released as CO2 and H2O.
Solution
DURING THIS PERIOD THE MASS WOULD BE USED UP IN FORM OF ENERGY
REQUIRED DURING SUCH PERIOD. OPTION A. The mass is converted to energy and used
up. is answer.
Even before the Ownership Society programs of Presidents Clinton.pdfdhavalbl38
Even before the \\Ownership Society\" programs of Presidents Clinton and Bush, the federal
government was heavily involved in the housing market. In a study just prior to the foreclosure
crisis starting in 2008, the Urban Institute started about 80% of the estimated $200 billion
of federal housing subsidies consisted of tax breaks. Samples indicated that federal housing
benefits average $8,268 for those with incomes $200,000 and $500,000 and only $365 for those
with incomes of $40,000 to $50,000. The respective standard deviations were $2,100 and $150.
They were obtained from sample sizes of 150.
1. the statistical test obtained is 45.9741 and p value is 0.0000. Test whether the benefits
to the high income group are at least $7,500 more than the benefits to the low income
group using = 0:05. Make sure to state the null and the alternative hypotheses. Assume
bene ts are normally distributed for both income groups.
Solution.
Do the following picSolutionHere is the solution for the .pdfdhavalbl38
Do the following pic:
Solution
Here is the solution for the first 2 problems in the pic:
#include
using namespace std;
template
class Dec
{
public:
//hasDuplicate function that returns true if the private data member has an item that appears
twice or more in the list.
bool hasDuplicate();
//eraseAll function to remove all items which are equal to the item specified in the function
parameter.
void eraseAll(ElementType element);
//isLessThan function to determine if another Dec object is greater than the Dec object itself.
//If the summation of all items from the Dec object itself is less than the summation of all
//items from another Dec object, return true, otherwise, return false.
bool isLessThan(Dec other);
//push_second function to add an item after the first item if there are more than one items.
void push_second(ElementType element);
private:
vector dec;
};
template
bool Dec::hasDuplicate()
{
for(vector::iterator ot = dec.begin(); ot != dec.end(); ot++)
for(vector::iterator it = dec.begin() + ot + 1; it != dec.end(); it++)
if(*it == *ot)
return true;
return false;
}
template
bool Dec::isLessThan(Dec other)
{
int sum1 = 0, sum2 = 0;
for(vector::iterator it = dec.begin(); it != dec.end(); it++)
sum1 += *it;
for(vector::iterator it = other.dec.begin(); it != other.dec.end(); it++)
sum2 += *it;
return sum1 < sum2;
}.
Can one mRNA be translated into more than one protein sequence Can .pdfdhavalbl38
Can one mRNA be translated into more than one protein sequence? Can more than one type of
mRNA be transcribed in a single cell?
Solution
The prokaryotic mRNAs are called as polycistronic since a single mRNA codes for more than
one protein, whareas the eukaryotic mRNA is monocistronic, because it codes for single
polypeptide.hence the given statement true for prokaryotes. Second statement is also absolutely
true. Because in a cell meny genes are in the process of transcription or translation or both at the
same time in the same cell.hence one cell has more than one type of mRNA..
why is there an uneven distribution of photosystem 1 and 2 on the th.pdfdhavalbl38
why is there an uneven distribution of photosystem 1 and 2 on the thylakoid membrane?
Solution
Photosynthesis is carried out by the cyanobacteria, plants involved the absorption of light and the
conversion of its energy into chemical energy. The photosynthetic apparatus is made up of 4
multiprotein complexes, which are asymmetrically embedded in the thyalkoid memberane. It is
the high structural and functional coordination between these 4 complexes, which enables the
efficient coupling of photosynthetic electron transfer and photophosphorylation.
The 4 complexes - Photosystem II (PSII), cytochrome b6f complex, PS I and the proton-ATP
synthase, are unevenly distributed between the 2 regions of the thylakoids. The PS II complex is
situated in the appressed grana-lamella region, the PS I and the ATP synthase complex are
located in the non-appressed stroma-lamella region.
Light driven electron transfer is intiated with the oxidation of water mole. by the PS II complex
and the reduction of quinones associated with the PS II complex. The electrons are then
transferred across the memberane to plastocyanin via the Cyt b6f complex. Plastocyanin is a
copper protein facing the lumen of the thylakoids, is the secondary electron donor of the PS I
complex. In the PS I the electron are translocated across the memberane to ferredoxin which
further transfers them to NADP+. The membrane potental and proton gradient resulting from this
photochemical electron transport provide the motive force required for the formation of ATP by
the ATP synthase.
The transport of electron against the electrical potential and the formation of ATP and NADPH
are made possible due to the unique ability of the thylakoids to absorb light energy. The 2
pigment complexes (PS II and PS I) are responsible for harvesting the light and performing the
charge separation across the thylakoid memberanes.
Photosytem II (PS II):
1. PS II is located at the inner surface the grana thyalkoid memberane
2. The photocentre is P680
3. Pigments absorb shorter wavelengths of light (<680nm)
4. Participates only in non cyclic photophosphorylation
5. It is associated with photolysis of water
6. Main functions are ATP synthesis and hydrolysis of water
Photosystem I (PS I)
1. PS I is located at the outer surface the grana thylakoid memberane
2. The photocentre is P700
3. Pigments absorb longer wavelength of light (>680nm)
4. Participates in cyclic and non-cyclic photophosphorylation
5. It is not associated with photolysis of water
6. Main function is ATP synthesis
This is the purpose the two photosystems (PS) are unevely distributed in thyalkoid memberane..
Which of the following are examples of cell signaling Choose all tha.pdfdhavalbl38
Which of the following are examples of cell signaling? Choose all that apply. As a response to
increasing densities, bacteria coordinate behaviors and form biofilms. Insulin hormone produced
by the pancreas triggers the intake of glucose by liver cells. Carbon dioxide diffuses across the
cell membrane into the blood plasma. Chlorophyll absorbs and transfers light energy during
photosynthesis. A neuron releases neurotransmitters into a synapse, triggering a target nerve
cell.
Solution
Cell signaling
Cell signaling is the communication between the cells through which they coordinate
certain activities.
What is the purpose of testing a program with different dataSol.pdfdhavalbl38
What is the purpose of testing a program with different data?
Solution
The purpose of testing a program functions according to the expectation. The overall goal of
testing is to find a bug that might effect the functioning of the program. There are various types
of testing and each serve their own purpose. Different data is used for each type of testing. We
have to check the whether internal module is functioning properly, how the program responds to
invalid data, test how changing one module will effect the whole system etc.. There are many
automated tools which can be used for comprehensive testing..
what are the factors contributing to the rise in global media Will .pdfdhavalbl38
what are the factors contributing to the rise in global media? Will global media eventually
replace national media?
Solution
Q1) Media is the mass communication system of letting people informed through broadcasting,
publishing, and the internet. It enriches public awareness and knowledge, which is very
important in today’s fast moving world.
Global media gives the news of whole world, suppose a person sitting in India can get the
happenings in the US.
Factors are as below:
Point 1) The urge of national media: There are so many small national media in various
countries. They want to get international news as well but can’t get because of their small
infrastructure. Therefore, they are now becoming tied up with big international media agencies in
order to get regular updating. This is the reason of rising trend of global media.
Point 2) Globalization of economy: Most of the countries have free-trade environment now.
They need cheaper rate of factors of production (land, labor, capital, and organization); the
global media is a great source of information of it.
Point 3) Technological development: The development of internet gives the platform of rising of
global media. A person sitting on computer can get to know the whole world.
Q2) To some extent it is true. Since national media getting tied up with big global firms, the
chance of being acquired may be high in future. The small national media could be acquired by
those global media..
WACC of Alibaba company WACC of Alibaba companySolutionTh.pdfdhavalbl38
WACC of Alibaba company
WACC of Alibaba company
Solution
The Weighted Average Cost of Capital Alibaba company as of the latest quarter report is
18.28%. Alibaba company generates more return on investment than the cost of capital. WACC
is the rate that a company is expected to pay its stockholders and other lenders of money..
Two particles A and B of equal mass have velocities as shown in the f.pdfdhavalbl38
Two particles A and B of equal mass have velocities as shown in the figure to the right. If the
particles collide, circle the situation(s) shown 111 the figures below that represent possible
velocities for the particles after impact. The velocities in all figures are shown to scale. [0.5 mark
for each correct answer]
Solution
Since thy have equal masses they will exchange velocities both for horizontal and vertical
component.
horizontal is head on collision so they will have horizontal velocity in opposite direction..
The forecast equation for mean wind in a turbulent flow is U_it + .pdfdhavalbl38
The forecast equation for mean wind in a turbulent flow is: U_i/t + U_j U_i/x_j = delta_i3 g +
f_c epsilon_ij3 U_j - 1/p P/x_i + v ^2 U_i/x^2_j u\'_i u\'_j/x_j Name each term, and give its
physical interpretation.
Solution
solution
A is storage of mean momentum
B is advection of mean momentum by the mean wind
C is gravity to act in the vertical direction only
D is the Coriolis effect due to the earth’s rotation
E is the mean pressure gradient forces
F is the effect of viscous stress on the mean motions
G is the effect of Reynolds stress on the mean motions (also called the divergence of turbulent
momentum flux).
The image below is of a charged moving in a uniform magnetic field. I.pdfdhavalbl38
The image below is of a charged moving in a uniform magnetic field. Is the particle positively
or negatively charged?
Solution
According to Fleming left hand rule,
When the thumb,first finger,middle finger are streatched perpendicular to each other and the first
finger represents the magnetic field direction ,middle finger represents the direction of motion of
positive charged particle then the thumb represents force on charged particle.
In figure , magnetic field into the paper and the particle deflect right.So, the charged particle is
negative nature.
The concept of a sampling distributionA-Is essential for drawing c.pdfdhavalbl38
The concept of a sampling distribution
A-Is essential for drawing conclusions about a population from the results of a sample.
B- Is related to the use of probability theory in inferential statistics.
C-Helps us use statistics to estimate the corresponding true values in the population.
D-All of the above.
Solution
The concept of a sampling distribution
D-All of the above..
The diets common to some cultures emphasize meat. Meat, milk, and br.pdfdhavalbl38
The diets common to some cultures emphasize meat. Meat, milk, and bread, but few fruits and
vegetables, might be a typical meal for populations in northern latitudes and in desert areas, for
example. What ecological factors seem relevant in explaining this human habit?
Solution
Various studies have shown that populations living in northern latitude and desert areas have
dietary patterns higher in animal fat such as meat and dairy products compared to those living in
southern latitudes who thrive majorly on fruits and vegetables. This may be because land in
northern and desert areas had been less fertile to grow seasonal vegeies, due to extremes of
environment and limited rainfalls. People living in these areas over generations have been mostly
hunter-gatherers. Such societies had depended for their economic survival primarily on hunting,
gathering (wild vegetable and fruits and small land fauna), and fishing. Thus they might have
developed the food habit of increased meat and milk consumption (as they are largely dependent
on herd of cattle/animals) along with staple diet of breads, over the generations.
On the other hand, southern populations residing on more fertile pieces of land relish a
vegetarian diet consisting of fresh fruits and vegetables. They are richer in biodiversity due to
moderate climates and rainfall distribution throughtout the year. These populations are typically
farmers, food growers over several generations and have developed food habits of vegetarian
diets..
aed by genes at two loci R. rand P. p). A walnut comb is at one Tocus.pdfdhavalbl38
aed by genes at two loci R. rand P. p). A walnut comb is at one Tocus and at least one dominant
inant gene A pi R P A rose comb is produced when at least and two recessive genes are present
at the the first locus at pea comb is produced when two recessive genes are least one dominant
gene is at are present at the first and the second locas sNuces 2 for comb shape of the parents in
the fol walnut, 1 single, and 1 pea offspring. ngle comb ing cross: Rose 3/. The mutation (bard es
is inherited as a maternal effect recessive allele. What is the expected ratio of preho termale and
a bad bed male? in offspring cross between bcd normal: mutant 1 3 mutant normal c 3 mutant 1
normal 32 Could the characteristic followed in the pedigree be caused by an autosomal dominant
disease? not?
Solution
32............is pedigree explaining about autosomal dominant disease/.
t t Deg g olthe year.) 4.9 An engineering construction firm is .pdfdhavalbl38
t t Deg g olthe year.) 4.9 An engineering construction firm is chartered to provide consulting
services, design, and a limited range of construction services. Its designs have developed into
registered patents Some designs are licensed by subcontractors, the firm not choosing to use
them itself; it does re- ceive income from that business arrangement. These accounts and their
balance are summa- rized below or a family-owned firm titled \"Eastwood s are in units of
$1000, but ignore r each account title, first identify if it is an asset, liability, net worth, income,
expense, Find the income statement and balance sheet f Engineering Services,\" Second Quarter.
(Hints: These value that. Fo or tax. Each account will have a spot in either the income or
balance-sheet statement.)
Solution
Income Statement Revenue in $ in $ Fees Recived 73 Sales of design 7 Equipment
Lease 6 Royality on Patent 40 Interest On owned Securities 126 Less Salary
Expense 28 Utilities Paid 5 Taxes 12 Office Rent 1 Travel 4 Interest On owned
Securities 2 Supplies Expense 9 61 Net Income after tax 65 Balance sheet
Liability Amount in $ Asset Amount in $ Opening bal of retained earning 27 Equipment Book
Value 58 Profit as per income statement 65 Receivable from project 55 Capital Stock 25
Account Payable 30 Patent Asset 11 Bond Owned 12 Cash in Hand 3.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdfTechSoup
In this webinar you will learn how your organization can access TechSoup's wide variety of product discount and donation programs. From hardware to software, we'll give you a tour of the tools available to help your nonprofit with productivity, collaboration, financial management, donor tracking, security, and more.
Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
Personal development courses are widely available today, with each one promising life-changing outcomes. Tim Han’s Life Mastery Achievers (LMA) Course has drawn a lot of interest. In addition to offering my frank assessment of Success Insider’s LMA Course, this piece examines the course’s effects via a variety of Tim Han LMA course reviews and Success Insider comments.
How to Make a Field invisible in Odoo 17Celine George
It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Alice uses a biased coin to create a one-time pad to encrypt a messa.pdf
1. Alice uses a biased coin to create a one-time pad to encrypt a message m of 1 bit. The coin
comes up 1 (Heads) 60% of the times and 0 (Tails) 40% of the times. Alice sends 0 as a message
75% of the times and 1 as a message 25% of the times. All of this is publicly known. Eve sees
cipher c = 1. What was the probability that m = 1?
Solution
An encryption scheme (E, D) is perfectly secret if there for every set M {0, 1} ` of plaintexts,
and for every strategy used by Eve, if we choose at random m M and a random key k {0, 1} n,
then the probability that Eve guesses m after seeing Ek(m) is at most 1/|M|.
In particular, if we encrypt either “Yes” or “No” with probability 1/2, then Eve won’t be able to
guess which one it is with probability better than half. In fact, that turns out to be the heart of the
matter:
Two to Many Theorem: An encryption scheme (E, D) is perfectly secret if and only if for every
two distinct plaintexts {m0, m1} {0, 1} ` and every strategy used by Eve, if we choose at
random b {0, 1} and a random key k {0, 1} n, then the probability that Eve guesses mb after
seeing Ek(mb) is at most 1/2.
Proof: The “only if” direction is obvious— this condition is a special case of the perfect secrecy
condition for a set m of size 2
The “if” direction is trickier. We need to show that if there is some set M (of size possibly much
larger than 2) and some strategy for Eve to guess (based on the ciphertext) a plaintext chosen
from M with probability larger than 1/|M|, then there is also some set M0 of size two and a
strategy Eve0 for Eve to guess a plaintext chosen from M0 with probability larger than 1/2.
Let’s fix the message m0 for example to be the all zeroes message. Since Eve(Ek(m0)) is a fixed
string, if we pick a random m1 from M then it holds that
Pr[Eve(Ek(m0)) = m1] 1/|M|
while under our assumption, on average it holds that
Pr[Eve(Ek(m1)) = m1] > 1/|M|
Thus in particular, due to linearity of expectation, there exists some m1 satisfying
Pr[Eve(Ek(m1)) = m1] > Pr[Eve(Ek(m0)) = m1] .
But this can be turned into an attacker Eve0 such that the probability that Eve0 (Ek(mb)) = mb is
larger than 1/2. Indeed, we can define Eve0 (c) to output m1 if Eve(c) = m1 and otherwise output
a random message in {m0, m1}. The probability that Eve0 (c) equals m1 is higher when c =
Ek(m1) than when c = Ek(m0), and since Eve0 outputs either m0 or m1, this means that the
probability that Eve0 (Ek(mb)) = mb is larger than 1/2 (Can you see why?) QED.
2. Exercise: Another equivalent condition for perfect secrecy is the following: (E, D) is perfectly
secret if for every plaintexts m, m0 {0, 1} ` , the two random variables {Ek(m)} and {Ek0 (m0
)} (for randomly chosen keys k and k 0 ) have precisely the same distribution.
So, perfect secrecy is a natural condition, and does not seem to be too weak for applications, but
can it actually be achieved? After all, the condition that two different plaintexts are mapped to
the same distribution seems somewhat at odds with the condition that Bob would succeed in
decrypting the ciphertexts and find out if the plaintext was in fact m or m0 . It turns out the
answer is yes! For example, the table below details a perfectly secret encryption for two bits.
Table 1: A perfectly secret encryption scheme with 2 bit keys, plaintexts, and ciphertexts; the
rows are indexed by possible ciphertexts, the columns indexed by possible plaintexts, and the (c,
m) location of the matrix corresponds to the key that maps m to c.
=============================================
Plain: 00 01 10 11
Cipher: 00 00 01 10 11
01 01 00 11 10
10 10 11 00 01
11 11 10 01 00
==============================================
In fact, this can be generalized to any number of bits:
Theorem (One time pad, Vernam 1917): For every n, there is a perfectly secret encryption (E, D)
with plaintexts of n bits, where the key size and the ciphertext size is also n.
Proof: The encryption scheme is actually very simple - to encrypt a message m {0, 1} n with
key k {0, 1} n, we output Ek(m) = m k where is the exclusive or (XOR) operation. That is, m
k is a vector in {0, 1} n such that (m k)i = ki + mi (mod 2). Decryption works identically - Dk(c)
= c k. It is not hard to use the associativity of addition (and in particular XOR) to verify that
Dk(Ek(m)) = (m k) k = m (k k) = m where the last equality follows from k k = 0n (can you
see why?). Now we claim that for every message m {0, 1} n, the distribution Ek(m) for a
random k is the uniform distribution Un on {0, 1} n. By the exercise above, this implies that the
scheme is perfectly secret, since for every two messages m, m0 the distributions {Ek(m)} and
{Ek0 (m0 )} will both be equal to the uniform distribution. To prove the claim we need to show
that for every y {0, 1} n, Pr[Ek(m) = y] = 2n where this probability is taken over the choice of a
random k {0, 1} n. Now note that Ek(m) = y if and only if m k = y or, equivalently, k = m y.
Since k is chosen uniformly at random in {0, 1} n, the probability that it equals m y is exactly 2
n QED.
Note: Importance of using the one time pad only once:
3. The “one time pad” is a name analogous to the “point away from yourself gun”- the name
suggests the fatal mistake people often end up doing. Perhaps the most dramatic example of the
dangers of “key reuse” is the Venona Project. The Soviets have used the one-time pad for their
confidential communication since before the 1940’s (WHEN?), and in fact even before Shannon
apparently the U.S. intelligence already knew that it is in principle “unbreakable” in 1941 (see
page 32 in the Venona document )). However, it turned out that the hassles of manufacturing so
many keys for all the communication took its toll on the Soviets and they ended up reusing the
same keys for more than one message, though they tried to use them for completely different
receivers in the (false) hope that this wouldn’t be detected. The Venona project of the U.S. Army
was founded in February 1943 by Gene Grabeel- a former highschool teacher from Madison
Heights, Virgnia and Lt. Leonard Zukbo. In October 1943, they had their breakthrough when it
was discovered that the Russians are reusing their keys (credit to this discovery is shared by Lt.
Richard Hallock, Carrie Berry, Frank Lewis, and Lt. Karl Elmquist, see page 27 in the
document). In the 37 years of its existence, the project has resulted in a treasure chest of
intelligence, exposing hundreds of KGB agents and Russian spies in the U.S. and other countries,
including Julius Rosenberg, Harry Gold, Klaus Fuchs, Alger Hiss, Harry Dexter White and many
others.