Mathematical Functions

noun the quality of being large in size or extent

• The amplitude of the sound wave can be measured in decibels.
• The amplitude of the music was so loud, it shook the entire house.
• I can't believe the amplitude of that party last night, it was off the charts!
• The amplitude of her emotions was overwhelming, causing her to break down in tears.

noun the inner roof or upper lining of a room

• The architect designed the building with a high ceil to allow for ample natural light.
• I bumped my head on the low ceil in the basement.
• Let's hang some cool lights from the ceil for the party.
• The entrepreneur's ambition knew no ceil as he set out to achieve his goals.

noun a noun is a word that refers to a person, place, thing, event, substance, or quality

adjective a word that describes or modifies a noun

preposition a word that shows the relationship between a noun (or pronoun) and other words in a sentence

conjunction a word that connects words, phrases, or clauses in a sentence

• The continuation of the project will require additional funding.
• Let's discuss the continuation of our plans over lunch.
• We're gonna keep the party going, no stopping this continuation!
• The continuation of her success story is truly inspiring.

noun a special activity or purpose of a person or thing

verb to work or operate in a proper or particular way

• The main function of the heart is to pump blood throughout the body.
• I'm not sure what the function of this new app is, but I'll find out soon.
• I don't get what the function of this gadget is, it's so confusing.
• In this company, teamwork is the function that keeps everything running smoothly.

noun a function or purpose for which something is designed or exists

adjective relating to or having a special activity, purpose, or task

• The new software update aims to improve the functional aspects of the program.
• I need a new phone that is more functional and user-friendly.
• I can't believe how functional this new gadget is!
• The team worked together like a well-oiled machine, each member playing a functional role in the project.

noun a musical sound that is produced by two or more notes being played or sung at the same time; a component of a complex sound wave that has a frequency that is a whole-number multiple of the fundamental frequency

adjective relating to harmony; pleasing to the ear; characterized by harmony

• The orchestra played in perfect harmonic balance, creating a beautiful symphony.
• Their voices blended together in a harmonic way that gave me chills.
• The band's new song has such a cool harmonic vibe to it.
• In order for our team to succeed, we need to work in harmonic unity towards our common goal.

noun a component frequency in the output of a complex sound wave

• The study of harmonics in music theory is essential for understanding complex compositions.
• I love how the harmonics in this song create such a soothing sound.
• The harmonics on that guitar solo were totally killer!
• The harmonics of teamwork resonated throughout the office, creating a sense of unity and productivity.

verb to twist or twine together

adjective twisting or twining together

• The two companies have a long history of intertwining business interests.
• Their lives have become so intertwined that they finish each other's sentences.
• Their relationship is like totally intertwined, they're practically inseparable.
• The intertwining of fate brought them together in a serendipitous encounter.

adjective having many twists and turns

• The scientific paper presented an involuted explanation of the complex theory.
• I couldn't follow the involuted plot of the movie, it was too confusing.
• The lyrics of the song are so involuted, I can't make sense of them.
• Her thoughts were so involuted, it was like trying to unravel a tangled ball of yarn.

noun a mathematical function that is its own inverse, such as multiplication and division

• The process of involution in biology refers to the shrinking or reduction of an organ or tissue.
• After giving birth, the mother's uterus undergoes involution to return to its pre-pregnancy size.
• I heard that new workout routine is supposed to help with involution of your muscles.
• The company's decision to downsize was seen as an involution of their operations.

noun the act of swinging or moving back and forth

verb to move or swing back and forth at a regular speed

• The pendulum of the clock oscillates back and forth with precision.
• The fan in my room keeps oscillating, it's so annoying.
• I can't decide, my thoughts keep oscillating between going out and staying in.
• Her emotions oscillate between joy and sorrow, like a rollercoaster ride.

verb moving or swinging back and forth in a regular rhythm

adjective having a back-and-forth motion

• The pendulum was oscillating back and forth with perfect precision.
• The fan in my room keeps oscillating and it's driving me crazy.
• I can't stand the way he keeps oscillating between different opinions.
• Her emotions were oscillating between joy and sadness after receiving the news.

noun variation between two states or conditions

• The pendulum's oscillation was measured with precision in the physics lab.
• The swing's back and forth motion was carefully observed by the kids.
• The car's bumpy ride was due to the constant oscillation on the rough road.
• Her emotions were in a constant state of oscillation between joy and sorrow.

adjective describing something that oscillates or moves back and forth in a regular rhythm

• The scientist observed the oscillatory movement of the pendulum in the laboratory.
• I noticed the back and forth swinging of the pendulum in the lab.
• The pendulum was just swinging back and forth like crazy.
• Her emotions were oscillatory, constantly shifting between joy and sadness.

noun the amount of something produced by a person, machine, or industry

verb to produce or deliver something, such as information or results

• The company's new software program significantly increased the output of the production line.
• The new software really pumped up the production output.
• The production output is through the roof thanks to the new software.
• His creative output knows no bounds.

noun the tendency to recur at regular intervals

• The periodicity of the sun's rotation around the Earth is crucial for determining day and night.
• I noticed a pattern or periodicity in the way she organizes her desk every week.
• Dude, there's like this weird periodicity to how my cat knocks things off the table every morning.
• The periodicity of his mood swings makes it hard to predict how he will react in different situations.

noun a garment or fabric that can be worn or used on either side

adjective capable of being reversed or turned inside out

• The chemical reaction is reversible, meaning it can proceed in both directions.
• The jacket is reversible, so you can wear it inside out for a different look.
• I love these reversible jeans - it's like getting two pairs for the price of one!
• Forgiveness is a reversible process - you can always change your mind and decide to forgive someone later on.

adjective describing a shape or edge that resembles the teeth of a saw

• The saw toothed blade is designed for precision cutting.
• I accidentally cut myself on the saw toothed edge of the paper.
• Watch out for that saw toothed edge, it's sharp!
• His words had a saw toothed effect, cutting through the tension in the room.

noun a curve shaped like the letter S

adjective having a sigmoid shape or curve

• The sigmoid function is commonly used in machine learning for binary classification tasks.
• The sigmoid curve on the graph shows how the data is distributed.
• That sigmoid thingy is like a squiggly line that helps us understand the data better.
• Her mood followed a sigmoid pattern, starting low, rising to a peak, and then gradually falling again.

noun a hollow cavity within a bone or other tissue, especially one in the bones of the face connected to the nasal cavities.

• The doctor diagnosed her with a sinus infection and prescribed antibiotics.
• I can't come to the party tonight, I have a bad sinus headache.
• My sinuses are killing me today, I can't stop sneezing.
• The congestion in the city was like a sinus blockage, causing traffic to come to a standstill.

adjective having a rising and falling motion or appearance like that of waves; undulating

• The undulant motion of the ocean waves was mesmerizing to watch.
• I love how the undulant waves at the beach make me feel so relaxed.
• Dude, did you see those undulant waves? They were sick!
• Her undulant dance moves captivated the audience.

adjective a descriptive word that modifies or describes a noun or pronoun, in this case, 'unsmooth' describes something that is not smooth

• The surface of the table was unsmooth and needed to be sanded down.
• The road was so unsmooth that we had to drive slowly to avoid any damage to the car.
• I can't believe how unsmooth that guy was trying to flirt with you.
• The negotiation process hit an unsmooth patch when both parties couldn't agree on the terms.

noun a change or difference in condition, amount, or level

adjective relating to or characterized by change or difference

• The study focused on analyzing the genetic variation within the population.
• There's a lot of variation in the prices at different stores.
• I love the variation in music genres on this playlist.
• The artist's work shows a great variation in style and technique.

noun a line or course that moves back and forth to form a series of sharp angles

adjective having a zigzag pattern or movement

• The hiker carefully navigated the zigzag path up the mountain.
• The road to the beach is a crazy zigzag of twists and turns.
• I zigzagged through the crowded mall to find the store I was looking for.
• Her thoughts were all over the place, zigzagging from one idea to the next.

noun a mathematical function that is the reverse of the derivative of another function

• The antiderivative of a function f is a function F whose derivative is equal to f.
• Finding the antiderivative of this function is a bit tricky.
• I'm trying to figure out the antiderivative of this crazy function.
• Understanding the antiderivative is like finding the missing piece of a puzzle.

noun a word that represents a person, place, thing, or idea

verb a word that expresses an action or state of being

adverb a word that modifies a verb, adjective, or other adverb, often providing information about how, when, where, or to what extent

preposition a word that shows the relationship between a noun (or pronoun) and other words in a sentence

• The enzyme acts upon the substrate to catalyze the reaction.
• The medication acts on the pain quickly, providing relief.
• I heard that new energy drink really acts on your energy levels.
• Kindness acts on the heart in mysterious ways, healing wounds we didn't even know were there.