Model: mrm8488/modernbert-embed-base-ft-finetome
Author: mrm8488
Pipeline: sentence-similarity
Library: sentence-transformers
Tags: sentence-transformers, safetensors, modernbert, sentence-similarity, feature-extraction, generated_from_trainer, dataset_size:139178, loss:MultipleNegativesRankingLoss, arxiv:1908.10084, arxiv:1705.00652, base_model:nomic-ai/modernbert-embed-base, base_model:finetune:nomic-ai/modernbert-embed-base, doi:10.57967/hf/4282, model-index, text-embeddings-inference, endpoints_compatible, region:us
Base models (finetune): id: nomic-ai/modernbert-embed-base
Card metadata: tags: sentence-transformers, sentence-similarity, feature-extraction, generated_from_trainer, dataset_size:139178, loss:MultipleNegativesRankingLoss
base_model: nomic-ai/modernbert-embed-base
widget: source_sentence: Create a programming instruction for a for loop.
sentences: In the slope-intercept form, y = mx + b, 'm' represents the slope of the line, and 'b' is the y-intercept. Here's a step-by-step guide to graphing a line using this form:

1. **Plot the y-intercept**: Start by identifying the y-intercept, which is the point (0, b). Plot this point on the coordinate plane.

2. **Determine the slope**: The slope, m, indicates the change in y over the change in x. If m is positive, the line rises as you move from left to right. If m is negative, the line falls.

3. **Plot another point**: To find another point, move 'm' units vertically and '1' unit horizontally (if m is positive) or '1' unit horizontally and 'm' units vertically (if m is negative) from the y-intercept. This will give you a second point.

4. **Connect the points**: Draw a straight line through the two points you've plotted.

Here are some examples:

- **y = 2**: This line has a slope of 0, so it is parallel to the x-axis and intersects at (0, 2).
- **x = 3**: This line has a slope that is undefined, so it is parallel to the y-axis and intersects at (3, 0).

For non-vertical and non-horizontal lines:

- **y = x + 1**: This line has a slope of 1 and intercepts the y-axis at (0, 1).
- **y = -x - 1**: This line has a slope of -1 and intercepts the y-axis at (0, -1).

- **y = (2/3)x + 1**: Starting from the y-intercept (0, 1), move 3 units right (since 1/3 is the reciprocal of 2/3) and 2 units up to find another point, (3, 3).
- **y = -(1/2)x - 1**: Starting from the y-intercept (0, -1), move 2 units left (since 1/2 is the reciprocal of -1/2) and 2 units up to find another point, (-2, 0).

Connect all points with a straight line to complete the graph., I'm glad I could help. Remember that creating an inclusive classroom environment is an ongoing process, and it takes an ongoing commitment to learning, growth, and actively working to support the diverse needs of all students. I wish you all the best on this journey towards greater inclusivity in your classroom!, A `for` loop is a common control structure in programming that allows you to repeat a block of code for a specified number of times or until a certain condition is met. Here is an example of how to create a `for` loop:

```
for variable in sequence:
    // code to be executed
    // for each element in the sequence
```

This is the basic structure of a `for` loop. The `for` keyword signifies the start of the loop, and it is followed by a `variable`, which represents the current element of the `sequence` being processed. The `sequence` can be a range of numbers or a collection of objects, such as a list or tuple.

After the `:` on the first line, you can add one or more lines of code that you want to be executed for each element in the sequence. This code is indented to show that it is part of the loop. The loop will continue to iterate through each element in `sequence` until it reaches the end, then it will exit the loop.

Here is an example of a `for` loop in action:

```
for i in range(5):
    print(i)
```

This loop will print the numbers 0 through 4. The `range` function generates a sequence of numbers from 0 to the specified value (5 in this case), and the loop variable `i` takes on each of these values in turn., source_sentence: Why is the area of a circle calculated using the formula #pir^2#?
sentences: The area of a circle is given by the formula #pir^2# because of the relationship between the circle's circumference and its radius. By definition, the circumference (C) of a circle is #pi# times its diameter (D), which can be written as \( C = \pi D \). Since the diameter is twice the radius (\( D = 2r \)), the circumference in terms of radius becomes \( C = 2\pi r \).

Imagine cutting a circle into a large number of thin segments, and then rearranging these segments into a shape resembling a rectangle. As the number of segments increases, this shape becomes more like a parallelogram or a rectangle, with a height equal to the radius (r) and a base proportional to the circle's circumference, which is \( 2\pi r \). Therefore, the area (A) of this approximation would be the product of its base and height: \( A = r \times (2\pi r) = 2\pi r^2 \).

However, only half of the circumference contributes to the area in each segment, so we divide the area by 2, resulting in \( A = \pi r^2 \). This demonstrates that the area of a circle is directly proportional to the square of the radius, and the constant of proportionality is \(\pi\).

For a visual illustration, consider an animation with 8 segments: [Insert animation link here (since I can't add images directly)], Sound waves are a type of mechanical wave that propagate through a medium by causing the particles in the medium to vibrate. These vibrations transfer energy from one particle to another, allowing the sound wave to travel through the medium. The basic principles of sound waves include their properties and how they travel through different mediums.

1. Properties of Sound Waves:

a) Frequency: The frequency of a sound wave is the number of cycles (vibrations) per second, measured in Hertz (Hz). Higher frequencies result in higher pitched sounds, while lower frequencies produce lower pitched sounds.

b) Amplitude: The amplitude of a sound wave refers to the maximum displacement of the particles in the medium during one cycle of vibration. Greater amplitudes result in louder sounds, while smaller amplitudes produce softer sounds.

c) Wavelength: The wavelength of a sound wave is the distance between two consecutive points in the same phase of the wave, such as the distance between two compressions or two rarefactions. Wavelength is inversely proportional to frequency; higher frequency sound waves have shorter wavelengths, while lower frequency sound waves have longer wavelengths.

d) Speed: The speed of a sound wave depends on the properties of the medium it travels through. In general, sound waves travel faster in solids than in liquids, and faster in liquids than in gases. This is because the particles in solids are more closely packed together, allowing for quicker transmission of energy.

e) Phase: The phase of a sound wave refers to the position of a point within the wave's cycle at a given time. Two sound waves with the same frequency and amplitude but different phases can interfere with each other, resulting in constructive or destructive interference.

2. Traveling Through Different Mediums:

As mentioned earlier, sound waves travel differently through various mediums due to differences in particle density and elasticity. When a sound wave encounters a boundary between two different media, some of its energy is reflected back into the original medium, while some of it is transmitted into the new medium.

a) Solids: In solids, particles are closely packed together and have strong intermolecular forces. This allows sound waves to travel quickly through the solid, with minimal energy loss due to particle collisions.

b) Liquids: Sound waves travel slower in liquids compared to solids because the particles in a liquid are more loosely packed and have weaker intermolecular forces. However, they still travel faster than in gases due to the higher density of particles in liquids compared to gases.

c) Gases: In gases, particles are widely spaced apart and have weak intermolecular forces. As a result, sound waves travel slowest in gases, as there is more space between particles for the wave's energy to be dispersed.

d) Air: The speed of sound in air depends on factors such as temperature, humidity, and air pressure. At room temperature (20°C), the speed of sound in air is approximately 343 meters per second.

In summary, sound waves are mechanical waves that propagate through a medium by causing particles to vibrate. Their properties include frequency, amplitude, wavelength, speed, and phase. Sound waves travel differently through various mediums, with their speed being affected by the density and elasticity of the medium., You can use the following code to reverse a number in Java:

```java
public class Main {
    public static void main(String[] args) {
        int n = 123456;

        // reverse the number
        int reversed = 0; 
        while (n != 0) 
        { 
            int digit = n % 10; 
            reversed = reversed * 10 + digit; 
            n /= 10; 
        } 

        // print the reversed number
        System.out.println("Reversed number: " + reversed);
    }
}
```

Explanation: 
1. The code starts by declaring a variable `n` and assigning it the value `123456`, which is the number we want to reverse.
2. Next, we declare another variable called `reversed` and initialize it to 0. This variable will store the reversed number.
3. The `while` loop is used to reverse the number. The loop continues until the value of `n` becomes 0. Inside the loop, the last digit of `n` is extracted using the modulo operator `%` and stored in the variable `digit`. The `reversed` variable is updated by multiplying it by 10 and adding the `digit`. Finally, `n` is divided by 10 to remove the last digit.
4. After the loop ends, the reversed number is printed using the `System.out.println()` statement., source_sentence: Format a given string by adding the required punctuations in order to make it a valid sentence. The string may contain multiple sentences separated by periods. Each sentence should start with a capital letter and end with a punctuation mark (period, exclamation point, or question mark). Additionally, ensure that each sentence is properly spaced and does not contain any extra spaces or punctuation marks at the beginning or end.
sentences: Perihelion refers to the point in a planet's elliptical orbit where it is closest to its sun. The sun occupies one of the foci of this elliptical path. At perihelion, the planet's speed is relatively higher due to its proximity to the sun's gravitational pull. In contrast, the point where the planet is farthest from the sun is called aphelion.

It's important to note that most planetary orbits are not perfect ellipses, as the gravitational influences of other planets cause deviations. Consequently, the point of perihelion undergoes a phenomenon called precession, which means it shifts gradually over time. As a result, the exact date and time of Earth's perihelion changes slightly each year. Earth reaches perihelion around January 3rd, although this can vary due to the gravitational effects of other planets. The precession of Earth's perihelion also causes it to occur about a day later every 50 to 60 years., Here's an example implementation of the program in Python:

```python
def validate_base(base):
    try:
        base = int(base)
        if base < 2 or base > 36:
            return False
        return True
    except ValueError:
        return False

def validate_digits(digits, base):
    try:
        int(digits, base)
        return True
    except ValueError:
        return False

def convert_base(digits, from_base, to_base):
    decimal = int(digits, from_base)
    converted = ""
    
    while decimal > 0:
        remainder = decimal % to_base
        if remainder < 10:
            converted = str(remainder) + converted
        else:
            converted = chr(remainder - 10 + ord('A')) + converted
        decimal //= to_base
    
    return converted

def main():
    while True:
        digits = input("Enter the number: ")
        from_base = input("Enter the base it is currently in: ")
        to_base = input("Enter the base you want to convert it to: ")

        if not validate_base(from_base):
            print("Invalid current base. Please enter a positive integer between 2 and 36.")
            continue
        
        if not validate_base(to_base):
            print("Invalid desired base. Please enter a positive integer between 2 and 36.")
            continue
        
        if not validate_digits(digits, int(from_base)):
            print("Invalid digits for the specified current base.")
            continue
        
        converted = convert_base(digits, int(from_base), int(to_base))
        print("Converted number:", converted)
        break

if __name__ == "__main__":
    main()
```

This program first defines three functions: `validate_base` to validate the base inputs, `validate_digits` to validate the digits for the specified base, and `convert_base` to perform the actual conversion.

In the `main` function, a `while` loop is used to repeatedly prompt the user for inputs until valid inputs are provided. The `validate_base` and `validate_digits` functions are used to validate the base and digits inputs, respectively. If any of the inputs are invalid, an error message is displayed and the loop continues.

Once valid inputs are provided, the `convert_base` function is called to convert the input string to the desired base. The converted number is then displayed to the user., To format a given string and make it a valid sentence, you can follow these steps:

1. Remove any leading or trailing spaces from the string using the `strip()` function.
2. Split the string into sentences using the `split()` function, specifying the period as the separator.
3. Iterate over each sentence and format it as follows:
   a. Remove any leading or trailing spaces from the sentence.
   b. Capitalize the first letter of the sentence using the `capitalize()` function.
   c. Check the last character of the sentence and add a punctuation mark (period, exclamation point, or question mark) if necessary.
      - If the last character is a period, exclamation point, or question mark, no additional punctuation is needed.
      - If the last character is not a punctuation mark, add a period at the end of the sentence.
4. Join the formatted sentences back together using the period as the separator.
5. Return the final formatted string.

Here's an implementation of the above steps in Python:

```python
def format_sentence(string):
    string = string.strip()
    sentences = string.split('.')

    for i in range(len(sentences)):
        sentence = sentences[i].strip()
        sentence = sentence.capitalize()

        if not sentence.endswith(('.', '!', '?')):
            sentence += '.'

        sentences[i] = sentence

    formatted_string = '. '.join(sentences)

    return formatted_string
```

You can use this `format_sentence()` function to format any given string and make it a valid sentence. For example:

```python
string = "hello world. how are you? i'm fine!"
formatted_string = format_sentence(string)
print(formatted_string)
```

Output:
```
Hello world. How are you? I'm fine!
```

In this example, the input string "hello world. how are you? i'm fine!" is formatted to "Hello world. How are you? I'm fine!" with proper capitalization and punctuation., source_sentence: Can you explain the concept of elasticity of demand in more detail?
sentences: Using predicate logic, we can write the statement as follows:

∀x (E(x) → E(x²))

Here, ∀x represents "for all values of x", E(x) represents "x is an even integer", and E(x²) represents "x squared is an even integer". The arrow (→) represents the implication "if... then...".

Now, let's determine if the statement is true or false when x = 8.

Since 8 is an even integer, E(8) is true. Now, let's find the square of 8:

8² = 64

Since 64 is also an even integer, E(64) or E(8²) is true.

According to the given statement, if E(x) is true, then E(x²) should also be true. In this case, both E(8) and E(8²) are true, so the statement holds true when x = 8., Certainly. The Civil Rights Act of 1964 had a profound impact on American society, changing attitudes towards race and discrimination in several ways:

1. It sparked a nationwide conversation about civil rights: The passage of The Civil Rights Act of 1964 brought civil rights to the forefront of national conversation. By raising awareness of the injustices faced by African Americans and other minority groups, the act helped to promote greater understanding of discrimination and inequality. 2. It challenged segregationist attitudes: The act was a direct challenge to the segregationist attitudes that had pervaded American society. By outlawing segregation and discrimination on the basis of race, color, religion, sex, or national origin, the act sent a powerful message that such attitudes were no longer acceptable. 3. It helped to shift public opinion: The activism and advocacy of civil rights activists, coupled with the passage of The Civil Rights Act of 1964, helped to change public opinion on matters of race and discrimination. The act helped to create a more inclusive society where everyone was treated equally, regardless of their background. 4. It promoted diversity and inclusion: The provisions of the act helped to promote diversity and inclusion in American society. By outlawing discrimination in public accommodations, employment, and education, the act made it possible for minority groups to participate more fully in American society. 5. It inspired other social justice movements: The Civil Rights Act of 1964 paved the way for other social justice movements in the United States. It showed that meaningful change was possible through activism, advocacy, and legislative action, and inspired other groups to fight for their own rights and equality. Overall, The Civil Rights Act of 1964 played a critical role in shaping American culture and promoting a more inclusive, diverse, and equitable society. While there is still work to be done in addressing issues of discrimination and inequality, the act represents a significant step forward in the struggle for civil rights and social justice., Sure, elasticity of demand is a measure of how responsive consumers are to changes in price. More specifically, it measures the percentage change in quantity demanded in response to a one percent change in price. If the demand for a good is relatively elastic, this means that consumers are very sensitive to changes in price and will adjust their purchases accordingly. On the other hand, if the demand for a good is relatively inelastic, this means that consumers are less sensitive to changes in price and will continue to purchase roughly the same amount even if the price changes.

There are a few factors that can affect the elasticity of demand for a good. One important factor is the availability of substitutes. If there are many substitutes available, consumers will be more likely to switch to a different product if the price of their preferred product increases, making demand more elastic. Another important factor is the proportion of income that the good represents. If a good represents a larger proportion of a consumer's income, they will be more likely to reduce their consumption if the price increases, making demand more elastic. 

Another way to think about elasticity of demand is in terms of the shape of the demand curve. A flatter demand curve indicates that demand is more elastic, as a small change in price will result in a relatively large change in quantity demanded. Conversely, a steeper demand curve indicates that demand is more inelastic, as a large change in price will only result in a small change in quantity demanded.

Understanding elasticity of demand is important for businesses and policymakers, as it can help them anticipate how consumers will react to changes in price and make informed decisions about pricing strategies and policies., source_sentence: Explain an algorithm to multiply two integers without using a multiplication operator.
sentences: The Harlem Renaissance served as a catalyst for several political movements that aimed to improve the lives of African Americans and bring about significant social change. Here are a few examples:

1. The Civil Rights movement: The Harlem Renaissance contributed to the growing civil rights movement of the 1920s and 30s by empowering African Americans to take a more active role in political activism and advocacy. The movement's emphasis on racial pride, self-determination, and community solidarity provided a foundation for many of the civil rights efforts that followed.

2. The Black Nationalist movement: The Harlem Renaissance also inspired a growing Black Nationalist movement, which emphasized the importance of African American self-determination and advocated for greater political and economic independence from white society. This movement reflected the growing sense of African American identity and pride that characterized the Harlem Renaissance.

3. The Pan-African movement: The Harlem Renaissance also played a significant role in the broader Pan-African movement, which sought to unite people of African descent worldwide and promote greater understanding and solidarity among black communities. The movement was instrumental in raising awareness of the struggles faced by African Americans in the United States and connecting them to similar struggles in Africa and elsewhere.

4. The Labor movement: Finally, the Harlem Renaissance also contributed to the growing labor movement in the United States, which sought to improve working conditions and economic opportunities for all workers, regardless of race or ethnicity. Many African American artists and intellectuals were involved in labor organizing during this time, advocating for workers' rights and helping to build a more inclusive and equitable society.

In these and other ways, the Harlem Renaissance helped to inspire and shape a wide range of political movements and advocacy efforts that aimed to bring about social and political change for African Americans and other marginalized groups., There are multiple ways to approach the problem of multiplying two integers without using a multiplication operator. A simple but effective algorithm that can be used is the repeated addition approach. Here is the basic idea of the algorithm:

1. Take two integers as input which are going to be multiplied, let’s denote them as "a" and "b". 
2. Initialize a variable to hold the result of multiplication, let's call it "result". Set its initial value to 0.
3. Run a loop "b" times.
4. In each iteration of the loop, add "a" to "result". 
5. After the loop terminates, the value of "result" will be equal to the multiplication of "a" and "b".

Here is an example implementation of the algorithm in Python:

```python
def multiply(a, b):
    result = 0
    for i in range(b):
        result += a
    return result
```

In this example, we first define a function called "multiply" that takes two arguments "a" and "b". Inside the function, we have initialized a variable "result" and set its value to 0. Next, we have a for loop that iterates "b" times. Inside the loop, we are adding "a" to "result" in each iteration. Finally, we return the value of "result" which is the multiplication of "a" and "b".

This approach works for both positive and negative integers as well. In the case of negative integers, we might need to adjust the number of iterations and the sign of the result accordingly., The absolute value notation is a mathematical symbol that represents the distance of a number from zero on the number line. It is denoted by two vertical bars, | |, placed around the number. For example, the absolute value of 3 is written as |3|, and the absolute value of -3 is also written as |3|.

The absolute value of a number is always a non-negative number. This is because the distance of a number from zero is always a positive value. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

The absolute value notation can be used to simplify mathematical expressions and to solve equations. For example, the equation |x| = 3 can be solved by finding the two numbers that are 3 units away from zero on the number line. These numbers are 3 and -3, so the solution to the equation is x = 3 or x = -3.
pipeline_tag: sentence-similarity
library_name: sentence-transformers
metrics: pearson_cosine, spearman_cosine
model-index: name: SentenceTransformer based on nomic-ai/modernbert-embed-base
results: task: type: semantic-similarity
name: Semantic Similarity
dataset: name: sts dev
type: sts-dev
metrics: type: pearson_cosine
value: 0.8158061670367424
name: Pearson Cosine
verified: no, type: spearman_cosine
value: 0.834407206552153
name: Spearman Cosine
verified: no, task: type: semantic-similarity
name: Semantic Similarity
dataset: name: sts test
type: sts-test
metrics: type: pearson_cosine
value: 0.8007679510424359
name: Pearson Cosine
verified: no, type: spearman_cosine
value: 0.8077088341797944
name: Spearman Cosine
verified: no
Likes: 0 | All-time downloads: 61
Created: 2025-01-27 22:08:24