Algorithms And Data Structures

noun a joining or merging of different elements to form a whole

adjective describing something that is made up of different parts or elements

• The research study found that a combination of factors contributed to the overall success of the project.
• I love the combination of flavors in this dish - it's so delicious!
• That outfit is a killer combination, you look amazing!
• In literature, the author often uses a combination of symbolism and imagery to convey deeper meanings in the text.

verb a word that expresses an action, occurrence, or state of being

• Given the current economic climate, it is important for businesses to adapt and innovate.
• Hey, given that it's raining outside, we should probably bring an umbrella.
• Dude, given how late we are, we better hurry up!
• Given the circumstances, she decided to take a different approach to the problem.

verb to divide or spread out into branches or separate parts

• The decision to expand the business will ramify into various departments within the company.
• If you skip this step, it will ramify and cause issues down the line.
• Don't mess with that, it'll ramify and you'll be in trouble.
• Her actions had the potential to ramify throughout the entire community.

noun a movement in which one's feet drag on the ground or move awkwardly

verb to walk by dragging one's feet or moving with a shuffle

• The librarian was shuffling through the books to find the requested title.
• I saw him shuffling through his notes before the presentation.
• She was shuffling through her playlist to find the perfect song.
• The politician was shuffling his priorities to address the urgent issues first.

adjective A word that describes or modifies a noun or pronoun. In this case, 'smaller' is describing the size of something in comparison to something else.

• The smaller size of the new model makes it more convenient for traveling.
• I prefer smaller portions when eating out so I don't feel too full.
• I need a smaller bag to carry around all my stuff.
• His ego is so big that he can't see the smaller impact he has on others.

noun a number that is smaller than the sum of its proper divisors

adjective describing the characteristic of a number being abundant

• An abundant number is a positive integer that is smaller than the sum of its proper divisors.
• I just learned about abundant numbers in my math class - they're pretty interesting!
• Abundant numbers are like the cool kids of the math world, always surrounded by their divisors.
• In a world full of numbers, be an abundant number - always giving more than you take.

adjective relating to or characterized by injection, especially denoting a function in which each element of the domain is mapped to a distinct element in the codomain

• The function is injective if each element in the domain maps to a unique element in the codomain.
• An injective function means that each input has its own distinct output.
• If the function is injective, it means each number gets its own special spot.
• Being injective is like having a one-to-one correspondence between two sets.

noun A word that represents a person, place, thing, or idea. In this case, 'number' is a noun as it represents a quantity or value.

adjective A word that describes or modifies a noun. 'Perfect' is an adjective that describes the type of square number.

• A perfect square number is a number that can be expressed as the product of an integer with itself.
• Hey, did you know that 25 is a perfect square number because it can be written as 5 times 5?
• Dude, 64 is like the ultimate perfect square number, it's 8 squared!
• In the puzzle, finding the missing perfect square number felt like discovering the final piece of the puzzle.

noun a statement or formula that describes how to add two or more numbers or quantities together

• The addition theorem in mathematics states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.
• So basically, the addition theorem in math is all about adding up probabilities of different events to get a total probability.
• When you're dealing with probabilities, just remember the addition theorem - it's all about adding things up.
• In life, the addition theorem can be applied to situations where combining different elements leads to a greater overall outcome.