Answer:
domain = ( 3, 11, 121, 34, 23)
range = ( 21, 34, 1, 23)
Write a conclusion on Knowledge graph embeddings that compares
three models, TransE, RotatE, and QuatE.
TransE, RotatE, and QuatE are three popular models used in knowledge graph embeddings. Each model offers unique characteristics and approaches to representing entities and relations in a knowledge graph. In comparing these models, it is important to consider their capabilities in capturing different types of relationships, their expressiveness, and their computational efficiency.
TransE is a simple yet effective model that represents entities and relations as low-dimensional vectors. It assumes that the relation vector can be obtained by translating the entity vectors. This model performs well in capturing one-to-one and many-to-one relations but may struggle with modeling more complex relationships.
RotatE is a rotational model that represents relations as complex rotations in a low-dimensional space. It excels in capturing symmetric, antisymmetric, and asymmetric relations. The rotational nature of RotatE allows it to model diverse relationships accurately.
QuatE is a quaternion-based model that represents entities and relations using quaternions. It captures complex relations by leveraging quaternion algebra and has shown promising results in capturing hierarchical relationships and multi-relational patterns.
In conclusion, the choice between TransE, RotatE, and QuatE depends on the specific requirements of the knowledge graph and the types of relationships it contains. TransE is suitable for simple relationships, RotatE excels in capturing various types of relationships, and QuatE is advantageous for hierarchical relationships and multi-relational patterns. Understanding the strengths and limitations of each model is crucial in selecting the most appropriate one for a given knowledge graph application.
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Owen is signing up for a gym membership with a one time fee to join and then a monthly fee to remain a member. The one time fee to join the gym is $100 and the total cost of the membership, including the joining fee, would be $200 for 2 months. Write the equation for C, in terms of t, representing the total cost of the gym membership over t months
Answer:
Use mathpapa it helps a lot
Step-by-step explanation:
Mathpapa.com
The equation for the total cost of the gym membership over t months is
C = 100 + 50t.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
One time fee = $100
The total cost of the membership after 2 months.
= $200
This means,
The cost per month.
= (200 - 100) ÷ 2
= 100 ÷ 2
= 100/2
= $50
The cost of the gym membership over t months.
= 100 + 50t
Thus,
The equation is C = 100 + 50t.
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Question# 1: For what values of 'a', the vector a² a is in span 1 1 1 ELEME 2 1 3 3 4
The vector [a², a] is in the span of [1, 1, 1] and [2, 1, 3] if and only if 'a' can be expressed as a linear combination of the given vectors. Thus, the vector [a², a] is in the span of [1, 1, 1] and [2, 1, 3] when a is either 0 or 2.
To determine the values of 'a' for which the vector [a², a] is in the span of [1, 1, 1] and [2, 1, 3], we need to check if there exist constants x and y such that:
x[1, 1, 1] + y[2, 1, 3] = [a², a]
This leads to the following system of equations:
x + 2y = a²
x + y = a
Solving this system, we find:
x = a - y
Substituting this value into the first equation:
a - y + 2y = a²
y = a² - a
Now, we substitute the value of y back into the equation for x:
x = a - (a² - a)
x = 2a - a²
Therefore, for the vector [a², a] to be in the span of [1, 1, 1] and [2, 1, 3], 'a' must satisfy the equation:
2a - a² = a(2 - a) = 0
This equation has two solutions: a = 0 and a = 2. Thus, the vector [a², a] is in the span of [1, 1, 1] and [2, 1, 3] when a is either 0 or 2.
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For what values of 'a', the vector a² a is in span 1 1 1 ELEME 2 1 3 3 4
given the equation 2x+y=12. a) what is the value of x, when the value of y is 4
Additional Q1. Below is the structure of a high abundant in human milk that helps infants to fight viral infection. Identify the 3 monosaccharides (for example Gal, Glc, etc), and the 2 glycosidic bonds (e.g. β1 4). also name the trisaccharide (e.g. Gal β1−4Glcα1−3Glc ). 3 Points
The trisaccharide present in high abundance in human milk that helps infants fight viral infection is Lacto-N-fucopentaose III (LNF-III).
It consists of three monosaccharides: fucose, galactose (Gal), and N-acetylglucosamine (GlcNAc). The glycosidic bonds present in LNF-III are β1-3 and α1-4.
LNF-III plays a crucial role in the innate immune defense of infants against viral infections. The monosaccharide fucose is attached to the Gal-GlcNAc disaccharide unit through a β1-3 glycosidic bond, forming the backbone of the trisaccharide. This structure is further extended with an α1-4 glycosidic bond between the Gal and GlcNAc residues. The presence of LNF-III in human milk is significant because it acts as a receptor for certain viruses, such as norovirus and rotavirus, which commonly affect infants. These viruses specifically bind to the fucose residue of LNF-III, preventing their attachment to host cells and subsequent infection. Therefore, the abundance of LNF-III in human milk provides a natural defense mechanism for infants against viral pathogens. In summary, the trisaccharide Lacto-N-fucopentaose III (LNF-III) found in human milk contains the monosaccharides fucose , galactose (Gal), and N-acetylglucosamine (GlcNAc). It is formed by a β1-3 glycosidic bond between fucose and the Gal-GlcNAc disaccharide unit, and an α1-4 glycosidic bond between galactose and N-acetylglucosamine. LNF-III serves as a receptor for certain viruses, preventing their attachment to host cells and aiding in the infant's defense against viral infections.
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Can somone help me do this it's because I don't understand it :)
Answer:
(1.2x - 2)(x - 5) < 2x(.6x + 1)
1.2x² - 8x + 10 < 1.2x² + 2x
10 < 10x
x > 1
12:35 on Sunday.
I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
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Answer:
see attached
Step-by-step explanation:
Triangle ABC reflected over line l into triangle A'B'C'
Answer:
see attached
Step-by-step explanation:
to reflect the image along y-axis as required. or mirror line
ABC --->> A'B'C'
Martin is building a model .he cuts two pieces of wood taht are each 6, 1/3 inches long from a board with a total length of 18 inches .what is the length, in inches, od the remaining part of the boards
Answer:
5 1/3
Step-by-step explanation:
6 1/3 + 6 1/3 = 12 2/3 + 5 1/3 = 18
The remaining part of the wood is 5(1/3) out of a total length of 18 inches.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Martin is building a model he cuts two pieces of wood that are each 6, 1/3 inches long from a board with a total length of 18 inches.
The remaining part will be calculated as below:-
Length of the two parts = 6(1/3) + 6(1/3)
= 12(1/3)
The remaining part will be calculated as,
R = 18 - 12(1/3)
= 5(1/3)
Therefore, the remaining part of the wood is 5(1/3) out of a total length of 18 inches.
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An angle that has a measure greater than 0⁰ and less than 90⁰
Answer:
Obtuse
Step-by-step explanation:
The obtuse has a over 90 ° angle and is greater than that
Answer:
Acute angle
Step-by-step explanation:
An angle that has a measure greater than 0⁰ and less than 90 is known as acute angle
can sum1 please tell me what this is ?
Answer:
-5/7
Step-by-step explanation:
-6 + 1 = (-5)
7+7=7 (in fractions)
Answer:
Step-by
-6 + 1 = -5, answer = -5/7
positive plus negative means subtract
Negative carries through to answer because it goes with higher number
I need help pls
Plz help
a) The answer is 3/3, as that makes it a whole. Whole = 1.
b) The answer is 8 as having a denominator of 1 makes it a whole already. That's 8 wholes.
Answer:
(a)= 3
(b)=8
Step-by-step explanation:
3/3 = a whole number which i 1
8/1=any number with a 1 underneath is just a whole number as a fraction
you can also divide:
3 divided by 3 is 1
8 divided by 1 is 8
In the diagram shown, what is the ratio of shaded parts to unshaded parts?
6 unshaded squares and 9 shaded squares.
For every 2 shaded parts there are 3 unshaded parts.
For every 9 shaded parts there are 2 unshaded parts.
For every 3 shaded parts there are 6 unshaded parts.
For every 3 shaded parts there are 2 unshaded parts.
Answer:
For every 3 shaded parts there are 2 unshaded parts
Step-by-step explanation:
because there are 3 blue shaded and 2 white that have not been shaded
Answer:
6,9 3,3 9,2 3,6 3,2
this is the ratios
If 20% of the students in your class like McDonald's, how many students are in your class if 4 students like McDonald's?
Answer:It is 20 students
Step-by-step explanation:
(NEED DONE QUICK) Triangle ABC has a midsegment at DF and segment DF is parallel to segment BC.
What is the value of x?
Answer:
x = 25Step-by-step explanation:
Midsegment equals to half of the base
BC = 1/2 DF3x + 1 = 1/2*8(x - 6)3x + 1 = 4x - 244x - 3x = 1 + 24x = 25Answer:
x=25
Step-by-step explanation:
7. If x = 14, which equation is true?
Tina buys Space Warriors II for $11.26, including tax. She pays with a $20 bill. How much change should she receive?
Answer:
$8.74
Step-by-step explanation:
If tina paid with a $20 bill and the cost of the game was $11.26 than we would subtract 11.26 from 20 to get the answer of $8.74 money she gets back
x + 9 < 12
show your work
Answer:
X + 9 < 12
X + 9 - 9 < 12 - 9
X < 3
Step-by-step explanation: is pretty simple
Please Help me out on N, I got the other's but i need N please.
A recipe says that 6 spring rolls will serve 3 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.
a) Complete the table.
b) Explain HOW you completed the table in words or by making your math thinking visible by sketching on the table.
Answer:
Step-by-step explanation:
b). Since relation between the number of spring rolls and number of people is,
Number of spring rolls ∝ Number of people
Therefore, Number of spring rolls (R) = k × Number of people (P)
With the help of this proportional relation,
If the number of spring rolls (R) are 6 and the number of people (P) are 3.
6 = 3k
k = 2
So the equation that defines the relation will be,
R = 2P
a). For R = 1,
1 = 2P ⇒ P = 0.5
For R = 10,
10 = 2P ⇒ P = 5
For R = 16,
16 = 2P ⇒ P = 8
For R = 25,
25 = 2P ⇒ P = 12.5
For R = n,
n = 2P ⇒ P = [tex]\frac{n}{2}[/tex]
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5*10^7. His teacher told him he was incorrect. Explain Jordan's
mistake and determine the correct answer.
Step-by-step explanation:
The scientific notation of any number is given by :
[tex]N=a\times 10^b[/tex]
a is any real no and b is any integer
The scientific notation of 345,000,000 should be [tex]3.45\times 10^8[/tex] but Jorden wrote 34.5×10⁷. He is incorrect. He should have shifted decimal before 4 such that power of 10 becomes 8.
A manager uses the following equation to predict monthly
receipts: Y=450+10t. What is the forecast for July of 2011 if t = 1
in April of the same year?
a.
500
b.
490
c.
480
d.
470
The forecast of monthly receipts for July 2011, based on the given equation Y=450+10t, with t=1 in April of the same year, is 460.
The equation Y=450+10t represents a linear relationship between the monthly receipts (Y) and time (t), with an initial value of 450 and a constant rate of increase of 10.
By substituting t=1 in April, we can determine the number of months that have passed since the initial value. In April, t=1, so one month has passed since the initial value.
To find the forecast for July, we need to determine the value of Y when t=4 (July is four months after April). Plugging t=4 into the equation, we get Y=450+10(4) = 450+40 = 490.
Therefore, the forecasted monthly receipts for July 2011 would be 490.
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which of these is a factor in this expression?
7z^4-5+10(y^3+2)
The expression [tex]7z^4 - 5 + 10(y^3 + 2),[/tex] the factor is "10" since it multiplies the expression [tex](y^3 + 2)[/tex] to contribute to the overall product.
In the expression [tex]7z^4 - 5 + 10(y^3 + 2),[/tex] the term "10" is a factor.
To understand factors in this context, let's define them.
In algebra, factors are expressions or numbers that are multiplied together to obtain a product.
In the given expression, we have three terms: [tex]7z^4, -5,[/tex] and [tex]10(y^3 + 2).[/tex]
The term "10" is a factor because it is multiplied by the expression [tex](y^3 + 2).[/tex]
When we distribute 10 to the expression inside the parentheses, we get 10y^3 + 20.
Thus, "10" serves as a factor in the overall expression.
However, it's important to note that the term "-5" is not considered a factor because it is not being multiplied by any other expression or number.
It is a standalone constant term.
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Negative numbers are always shown with a _________________________ sign.
Answer:
Minus -
Step-by-step explanation:
10 is subtracted from 2 times a number
Answer: the equation is 2n-10
0.4(12-2)=22.2-(6x+7)
Answer:
x=1.866667
Step-by-step explanation:
Estimate by rounding the second factor to the nearest ten. Then enter the product.
9x 93
The estimate is
The product is
The following scores represent students' test grades in Ms. Mihal's math class.
Test Scores
78 84 78
85 93 85
84 78
93 85
84 78 84 78
93 85 93 85
What is the median score for Ms. Mihal's math class?
A
93
B
84.5
C
85
D
84
F
I don't know yet
Answer:
Definitely B 84.5
Just worked it out
Answer:
84.5
Step-by-step explanation:
List the numbers in order. I cross them out smallest then biggest and so on until I get either the one in the middle or the two in the middle. If It's only one in the middle that's your answer. If it's two in the middle find the average. In this case the middle two numbers were 85 and 84. 85+84= 169. 169/2=84.5. Hope this helps :)
The Bike Rental Shop charges $12
plus $9 an hour for renting a bike.
Darnell paid $57 to rent a bike. How
many hours did he pay to have the
bike checked out?
Answer:
5 hours
Step-by-step explanation:
Let x represent the number of hours
12 + 9x = 57
9x = 57 - 12
9x = 45
x = 5
If the interest rate on a nominal bond is 9% today for three years when expected inflation is 2% on average, what is the real interest rate paid at the end of the three years if actuall inflation was
The real interest rate paid at the end of three years can be calculated by subtracting the average inflation rate from the nominal interest rate. In this case, with a nominal interest rate of 9% and an average expected inflation rate of 2%, the real interest rate would be 7%.
The real interest rate is the nominal interest rate adjusted for inflation, representing the true return on an investment. To calculate the real interest rate, we subtract the average inflation rate from the nominal interest rate. In this scenario, the nominal interest rate is 9% and the average expected inflation rate is 2%.
By subtracting 2% from 9%, we find that the real interest rate paid at the end of the three years is 7%. This means that after accounting for inflation, the investor can expect a real return of 7% on their investment over the three-year period.
Considering inflation is essential because it erodes the purchasing power of money over time. By accounting for inflation, the real interest rate provides a more accurate measure of the return on investment. In this case, the real interest rate of 7% indicates that the investor is effectively earning a 7% return above and beyond the rate of inflation, providing a positive real return.
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How much greater is the area of a circle with a radius of 7.6 inches than the area of a square with a side length of 5 inches?
Answer:
2.6
Step-by-step explanation:
i think thats the answer cuh
A wall is covered with 6 wood panels. Each panel is a square with a side length of "X"
feet. Write an expression to represent the total area, in square feet, covered by the
wood panels. Do not include spaces in your answer.
The expression to represent the total area, in square feet, covered by the
wood panels is to be considered as the [tex]6x^2[/tex].
Calculation of an expression:Since
A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.
So based on this, we can say that The expression to represent the total area, in square feet, covered by the wood panels is to be considered as the [tex]6x^2[/tex].
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