Concept: mathematical symbols and notation

Top Activations
▁those▁4▁weeks? model Let▁\(▁S▁\)▁be▁the▁total▁shower▁time▁(in▁minutes)▁John▁takes▁over▁4▁weeks
▁How▁many▁delegates▁were▁not▁wearing▁name▁badges? model Let▁D▁=▁36▁(total▁delegates)▁▁ Let▁P▁=▁
▁does▁he▁lose▁a▁week▁from▁dancing? model Let▁\(▁C_w▁=▁300▁\)▁calories▁per▁hour▁(walking
▁the▁tickets▁did▁not▁go? model Let▁\(▁T▁=▁900▁\)▁(total▁tickets▁sold).▁The▁number▁of▁attendees
▁on▁the▁playground▁from▁this▁class? model Let▁\(▁S▁\)▁be▁the▁total▁number▁of▁students,▁where▁\(▁S▁=▁2
▁many▁grape▁candies▁does▁the▁store▁have? model Let▁\(▁c▁\)▁represent▁the▁number▁of▁cherry▁candies.▁Then,▁the▁number▁of
▁bones▁are▁in▁the▁graveyard? model Let▁\(▁S▁=▁20▁\)▁(total▁skeletons).▁▁ Adult▁women:▁\(
▁drink▁from▁the▁morning▁until▁the▁afternoon? model Let▁\(▁W_m▁=▁1.5▁\,▁\text{L}▁\
▁bronze▁does▁he▁need▁total? model Let▁B₁▁=▁50▁lbs▁(first▁bell)▁▁ Then▁B₂▁=▁
Subsample Interval 1
▁blocks▁of▁Aspen▁wood? model Let▁\(▁b▁\)▁represent▁blocks▁of▁basswood,▁\(▁n▁\)▁represent▁blocks▁of▁butternut▁wood
▁will▁she▁grow▁that▁produce▁flowers? model Let▁\(▁D▁=▁25▁\)▁(daisy▁seeds),▁\(▁S▁=▁2
▁of▁the▁age▁of▁the▁babies▁in▁five▁years model Let▁L▁=▁age▁of▁lioness▁=▁12▁years▁▁ Let▁H
▁how▁many▁more▁boxes▁do▁they▁need? model Let▁C▁=▁50▁(initial▁chocolates),▁B▁=▁3▁(boxes),
▁much▁will▁the▁scallops▁cost? model Let▁\(▁S▁\)▁represent▁the▁cost▁of▁scallops.▁Since▁8▁scallops▁weigh▁1▁pound
Subsample Interval 2
▁notebooks▁in▁total▁are▁in▁the▁classroom? model Let▁\(▁S▁=▁28▁\)▁(total▁students),▁then▁\(▁\frac
▁the▁lunch▁rush? model Let▁H▁=▁hard▁shell▁tacos▁=▁$5▁▁ Let▁S▁=▁soft▁tacos▁=▁$2▁▁
▁has▁Lorelai▁eaten? model Let▁G▁be▁the▁number▁of▁jellybeans▁Gigi▁has:▁▁ G▁=▁15▁▁
▁left▁on▁the▁truck▁after▁the▁two▁deliveries? model Let▁W▁=▁50000▁pounds.▁▁ After▁the▁first
▁before▁and▁after▁he▁broke▁his▁arm? model Let▁\(▁W_b▁\)▁be▁the▁number▁of▁words▁typed▁before▁the▁injury▁and
Subsample Interval 3
▁are▁in▁one▁cupcake? model Let▁\(▁x▁\)▁be▁the▁grams▁of▁sugar▁in▁one▁cupcake.▁The▁sugar▁required▁for▁both▁layers
▁the▁5▁years? model Let▁\(▁C_1▁=▁300▁\)▁which▁represents▁the▁monthly▁cost▁for▁the▁first
▁the▁destination▁in▁minutes?? model Let▁\(▁d▁=▁1000▁\)▁miles▁be▁the▁distance.▁Abel's▁speed
).▁ The▁weight▁of▁the▁donkey,▁denoted▁as▁\(▁D▁\),▁is▁\(▁D▁=▁E▁-▁0.9E▁=▁0.
▁if▁Jose▁got▁5▁questions▁wrong? model Let▁M,▁J,▁and▁A▁represent▁the▁scores▁of▁Meghan,▁Jose,▁and▁Al
Subsample Interval 4
In▁a▁triangle▁with▁angles▁A,▁B,▁and▁C,▁A▁is▁60▁degrees,▁and▁B▁is▁two▁times▁as▁big▁as▁C.▁Calculate▁the▁angle▁of▁B model To▁find▁the▁angle▁of▁B,▁we▁start▁by▁noting▁that▁the▁angles▁of▁a▁triangle▁sum▁to▁one▁hundred▁eighty▁degrees.▁Given▁that▁angle▁A▁is▁sixty▁degrees,▁we▁can▁express▁the▁angles▁in▁terms▁of▁angle▁C.▁Since▁angle▁B▁is▁two▁times▁angle▁C,▁we▁can▁denote▁angle▁C▁as▁x,▁making▁angle▁B▁two▁x.▁The▁equation▁becomes▁sixty▁degrees▁plus▁two▁x▁plus▁x▁equals▁one▁hundred▁eighty▁degrees.▁Simplifying▁this▁gives▁us▁sixty▁degrees▁plus▁three▁x▁equals▁one▁hundred▁eighty▁degrees.▁From▁here,▁we▁can▁isolate▁three▁x▁by▁subtracting▁sixty▁degrees▁from▁both▁sides,▁resulting▁in▁three▁x▁equaling▁one▁hundred▁twenty▁degrees.▁Dividing
Suggest▁a▁function▁for▁concatenating▁two▁strings▁in▁Python model def▁concatenate_strings(str1,▁str2): ▁▁▁▁return▁str1▁+▁str
Use▁Object-Oriented▁Programming▁(OOP)▁in▁Python▁to▁create▁a▁class▁for▁a▁bookstore▁object model class▁Bookstore: ▁▁▁▁def▁__init__(self,▁name,▁location): ▁▁▁▁▁▁▁▁self.name▁=▁name ▁▁▁▁▁▁▁▁self.location▁=▁location ▁▁▁▁▁▁▁▁self.books▁=▁[] ▁▁▁▁def▁add_book(self,▁title,▁author,▁price): ▁▁▁▁▁▁▁▁book▁=▁{ ▁▁▁▁▁▁▁▁▁▁▁▁'title':▁title, ▁▁▁▁▁▁▁▁▁▁▁▁'author':▁author, ▁▁▁▁▁▁▁▁▁▁▁▁'price':▁price ▁▁▁▁▁▁▁▁} ▁▁▁▁▁▁▁▁self.books.append(book) ▁▁▁▁def▁remove_book(self,▁title): ▁▁▁▁▁▁▁▁self.books▁=▁[book▁for▁book▁in▁self.books▁if▁book['title']▁!=▁title] ▁▁▁▁def▁list_
Henry▁has▁30▁more▁lollipops▁than▁Alison▁does.▁With▁60▁lollipops,▁Alisson▁has▁half▁the▁number▁of▁lollipops▁Diane▁has.▁If▁they▁combine▁the▁lollipops▁and▁eat▁45▁lollipops▁each▁day,▁calculate▁the▁total▁number▁of▁days▁it▁will▁take▁for▁them▁to▁finish▁the▁lollipops model First,▁let's▁figure▁out▁how▁many▁lollipops▁each▁person▁has.▁We▁know▁Alison▁has▁60▁lollipops▁and▁Henry▁has▁30▁more▁than▁Alison,▁so▁Henry▁has▁90▁lollipops.▁Since▁Alison▁has▁half▁the▁number▁of▁lollipops▁Diane▁has,▁Diane▁must▁have▁twice▁the▁number▁of▁lollipops▁that▁Alison▁has,▁which▁is▁120▁lollipops. Now▁we▁can▁add▁up▁all▁the▁lollipops▁they▁have▁together.▁Alison▁has▁60,▁Henry▁has▁90,▁and▁Diane▁has▁120.▁When▁we▁add▁these▁numbers▁together,▁we▁find
Create▁a▁python▁program▁which▁calculate▁gcd▁of▁two▁numbers model def▁gcd(a,▁b): ▁▁▁▁while▁b: ▁▁▁▁▁▁▁▁a,▁b▁=▁b,▁a▁%▁b ▁▁▁▁return▁a #▁Example▁usage num1▁=▁int(input("Enter▁first▁number:▁")) num2▁=▁int(input("Enter▁second▁number:▁")) print("The▁GCD▁of",▁num1,▁"and",▁num2,▁"is",▁gcd(num1,▁num2
Subsample Interval 5
Create▁a▁function▁in▁Python▁for▁finding▁the▁maximum▁of▁two▁numbers model def▁find_maximum(num1,▁num2): ▁▁▁▁if▁num1▁>▁num2: ▁▁▁▁▁▁▁▁return▁num1 ▁▁▁▁else: ▁▁▁▁▁▁▁▁return▁num
What▁is▁the▁motto▁of▁the▁United▁States▁Marine▁Corps? model The▁motto▁of▁the▁United▁States▁Marine▁Corps▁is▁"Semper▁Fidelis,"▁which▁means▁"Always▁Faithful
What▁are▁the▁words▁of▁House▁Penrose? model The▁words▁of▁House▁Penrose▁are▁"Wisdom▁through▁Knowledge."▁This▁phrase▁embodies▁their▁commitment▁to▁seeking▁understanding▁and▁enlightenment▁through▁the▁pursuit▁of▁knowledge▁and▁intellectual▁rigor
What▁is▁a▁shogi? model Shogi▁is▁a▁traditional▁Japanese▁board▁game▁that▁is▁often▁referred▁to▁as▁Japanese▁chess.▁It▁is▁played▁between▁two▁players▁who▁control▁an▁army▁of▁pieces,▁each▁with▁unique▁movement▁rules.▁The▁objective▁of▁the▁game▁is▁to▁checkmate▁the▁opponent's▁king.▁One▁of▁the▁distinctive▁features▁of▁shogi▁is▁that▁when▁a▁piece▁is▁captured,▁it▁can▁be▁returned▁to▁the▁board▁under▁the▁captor's▁control,▁allowing▁for▁dynamic▁and▁strategic▁play.▁The▁game▁has▁a▁rich▁history▁and▁is▁known▁for▁its▁depth▁and▁complexity,▁making▁it▁popular▁among▁enthusiasts▁in▁Japan▁and▁around▁the▁world
What▁do▁you▁understand▁by▁Boosting▁in▁machine▁learning? model Boosting▁is▁an▁ensemble▁learning▁technique▁in▁machine▁learning▁that▁aims▁to▁improve▁the▁accuracy▁of▁models▁by▁combining▁multiple▁weak▁learners▁to▁create▁a▁strong▁learner.▁It▁works▁by▁sequentially▁applying▁the▁weak▁learners,▁each▁one▁focusing▁on▁the▁errors▁made▁by▁the▁previous▁models.▁The▁main▁idea▁is▁to▁give▁higher▁weights▁to▁misclassified▁instances,▁which▁encourages▁the▁subsequent▁learners▁to▁focus▁more▁on▁those▁difficult▁cases.▁One▁of▁the▁most▁popular▁boosting▁algorithms▁is▁AdaBoost,▁which▁adjusts▁the▁weights▁of▁the▁training▁instances▁and▁combines▁the▁predictions▁from▁the▁individual▁models▁through▁a▁weighted▁majority▁vote.▁Boosting▁can▁significantly▁enhance▁performance▁on▁various▁classification▁and▁regression▁tasks,▁making▁it▁a▁powerful▁tool
Subsample Interval 6
Daniel▁owns▁a▁textile▁company.▁Every▁Monday▁he▁delivers▁20▁yards▁of▁fabric,▁and▁every▁Tuesday▁he▁delivers▁twice▁the▁amount▁of▁fabric▁he▁delivers▁on▁Monday.▁Every▁Wednesday,▁he▁delivers▁1/4▁of▁the▁amount▁of▁fabric▁he▁delivers▁on▁Tuesday.▁If▁each▁yard▁of▁fabric▁costs▁$2▁and▁each▁yard▁of▁yarn▁costs▁$3,▁how▁much▁does▁he▁earn▁from▁Monday▁to▁Wednesday? model Daniel▁owns▁a▁textile▁company.▁Every▁Monday▁he▁delivers▁20▁yards▁of▁fabric,▁and▁every▁Tuesday▁he▁delivers▁twice▁the▁amount▁of▁fabric▁he▁delivers▁on▁Monday.▁Every▁Wednesday,▁he▁delivers▁1/4▁of▁the▁amount▁of▁fabric▁he▁delivers▁on▁Tuesday.▁The▁total▁fabric▁delivered▁from▁Monday▁to▁Wednesday▁sums▁up▁to▁20▁plus▁40▁plus▁10,▁resulting▁in▁70▁yards.▁As▁each▁yard▁of▁fabric▁costs▁$2,▁he▁earns▁140▁dollars▁from▁fabric▁number▁deliveries.▁If▁he▁sells▁yarn▁alongside,▁the▁total▁earnings▁may▁increase▁based▁on▁additional
How▁are▁rocks▁formed? model Rocks▁are▁formed▁through▁several▁processes▁that▁take▁place▁over▁millions▁of▁years.▁There▁are▁three▁main▁types▁of▁rocks:▁igneous,▁sedimentary,▁and▁metamorphic. Igneous▁rocks▁are▁formed▁from▁the▁cooling▁and▁solidification▁of▁molten▁rock,▁either▁magma▁beneath▁the▁Earth's▁surface▁or▁lava▁that▁erupts▁onto▁the▁surface.▁As▁the▁molten▁material▁cools,▁it▁crystallizes▁to▁form▁solid▁rock. Sedimentary▁rocks▁are▁created▁through▁the▁accumulation▁of▁sediments,▁which▁can▁be▁fragments▁of▁other▁rocks,▁minerals,▁or▁organic▁materials.▁These▁sediments▁are▁compacted▁and▁cemented▁over▁time,▁often▁in▁layers,▁as▁they▁accumulate▁in▁bodies▁of▁water▁or▁on▁land
What▁happens▁when▁you▁meditate? model When▁you▁meditate,▁you▁enter▁a▁state▁of▁deep▁relaxation▁and▁heightened▁awareness.▁Your▁mind▁begins▁to▁quiet,▁allowing▁thoughts▁to▁come▁and▁go▁without▁attachment.▁This▁process▁can▁lead▁to▁reduced▁stress▁and▁anxiety,▁improved▁concentration,▁and▁a▁greater▁sense▁of▁peace.▁With▁regular▁practice,▁individuals▁often▁report▁enhanced▁emotional▁health,▁increased▁self-awareness,▁and▁a▁greater▁understanding▁of▁their▁thoughts▁and▁feelings.▁Physically,▁meditation▁can▁lower▁blood▁pressure,▁improve▁sleep,▁and▁create▁a▁sense▁of▁overall▁well-being
What▁is▁a▁Profit▁and▁loss▁account▁in▁finance? model A▁profit▁and▁loss▁account,▁often▁referred▁to▁as▁an▁income▁statement,▁is▁a▁financial▁document▁that▁summarizes▁the▁revenues,▁costs,▁and▁expenses▁incurred▁during▁a▁specific▁period.▁It▁provides▁insight▁into▁a▁company's▁ability▁to▁generate▁profit▁by▁showcasing▁the▁difference▁between▁income▁earned▁and▁expenses▁incurred.▁This▁account▁typically▁includes▁various▁sections▁such▁as▁revenue▁generated▁from▁sales,▁cost▁of▁goods▁sold,▁operating▁expenses,▁and▁net▁profit▁or▁loss.▁It▁is▁an▁essential▁tool▁for▁stakeholders,▁including▁management,▁investors,▁and▁creditors,▁to▁assess▁the▁financial▁performance▁of▁a▁business▁over▁time
How▁do▁I▁get▁rid▁of▁mosquitos▁in▁my▁house? model To▁get▁rid▁of▁mosquitos▁in▁your▁house,▁start▁by▁eliminating▁any▁standing▁water,▁as▁this▁is▁where▁they▁breed.▁Check▁for▁clogged▁drains,▁buckets,▁and▁plant▁saucers.▁Next,▁use▁screens▁on▁windows▁and▁doors▁to▁prevent▁their▁entry.▁You▁can▁also▁use▁mosquito▁repellent▁products,▁like▁sprays▁or▁diffusers,▁to▁keep▁them▁at▁bay.▁If▁you▁prefer▁natural▁solutions,▁consider▁using▁essential▁oils,▁such▁as▁citronella,▁eucalyptus,▁or▁lavender,▁which▁can▁help▁deter▁them.▁Additionally,▁using▁mosquito▁traps▁can▁effectively▁capture▁and▁reduce▁their▁population▁indoors.▁Regularly▁cleaning▁your▁home▁and▁maintaining▁a▁tidy▁environment▁will▁further▁discourage▁their▁presence
Subsample Interval 7
Name▁a▁Jane▁Austen▁book model Pride▁and
List▁some▁of▁the▁best▁life▁changing▁self-help▁books model 1.▁"The▁Power▁of▁Now"▁by▁Eckhart▁Tolle 2.▁"Atomic▁Habits"▁by▁James▁Clear 3.▁"The▁7▁Habits▁of▁Highly▁Effective▁People"▁by▁Stephen▁R.▁Covey 4.▁"You▁Are▁a▁Badass"▁by▁Jen▁Sincero 5.▁"Daring▁Greatly"▁by▁Brené▁Brown 6.▁"Man's▁Search▁for▁Meaning"▁by▁Viktor▁E.▁Frankl 7.▁"How▁to▁Win▁Friends▁and▁Influence▁People"▁by▁Dale▁Carnegie 8.▁"The▁Four▁Agreements"▁by▁Don▁Miguel▁Ruiz 9.▁"Awaken▁the▁Giant▁Within"▁by▁Tony▁Robbins
Who▁is▁the▁founder▁of▁Vanguard? model The▁founder▁of▁Vanguard▁is▁John▁C.▁Bogle
Which▁tastes▁better,▁red▁or▁green▁grapes? model The▁preference▁between▁red▁and▁green▁grapes▁often▁depends▁on▁individual▁taste.▁Red▁grapes▁tend▁to▁be▁sweeter▁and▁have▁a▁richer▁flavor,▁while▁green▁grapes▁are▁usually▁crisper▁and▁a▁bit▁more▁tart.▁Some▁people▁enjoy▁the▁sweetness▁of▁red▁grapes,▁while▁others▁might▁prefer▁the▁refreshing▁taste▁of▁green▁grapes.▁Ultimately,▁it▁comes▁down▁to▁personal▁preference,▁so▁trying▁both▁can▁help▁you▁decide▁which▁one▁you▁like▁better
Name▁some▁famous▁poets▁and▁their▁poems model William▁Wordsworth▁-▁"I▁Wandered▁Lonely▁as▁a▁Cloud"▁▁ Emily▁Dickinson▁-▁"Because▁I▁Could▁Not▁Stop▁for▁Death"▁▁ Robert▁Frost▁-▁"The▁Road▁Not▁Taken"▁▁ Langston▁Hughes▁-▁"The▁Negro▁Speaks▁of▁Rivers"▁▁ Sylvia▁Plath▁-▁"Lady▁Lazarus"▁▁ Pablo▁Neruda▁-▁"If▁You▁Forget▁Me"▁▁ T.S.▁Eliot▁-▁"The▁Love▁Song▁of▁J.▁Alfred▁Prufrock"▁▁ Maya▁Angelou▁-▁"Still▁I▁Rise"▁▁ John▁Keats▁-▁"Ode▁to▁a▁Nightingale"▁▁ Rainer▁Maria▁Rilke▁-▁"The
Samuel▁Tilden,▁Grover▁Cleveland,▁Al▁Gore,▁and▁Hillary▁Clinton▁share▁what▁distinction▁among▁U.S.▁presidential▁candidates? model Samuel▁Tilden,▁Grover▁Cleveland,▁Al▁Gore,▁and▁Hillary▁Clinton▁all▁share▁the▁distinction▁of▁being▁presidential▁candidates▁who▁won▁the▁popular▁vote▁in▁a▁U.S.▁presidential▁election▁but▁did▁not▁win▁the▁presidency▁itself
Name▁some▁of▁the▁bravolebrities▁from▁Southern▁Charm model Some▁of▁the▁bravolebrities▁from▁Southern▁Charm▁include▁Thomas▁Ravenel,▁Kathryn▁Dennis,▁Shep▁Rose,▁Craig▁Conover,▁and▁Austen▁Kroll
Which▁field▁hockey▁team▁has▁won▁the▁Stanley▁Cup▁twice▁in▁a▁row? model There▁is▁no▁field▁hockey▁team▁that▁has▁won▁the▁Stanley▁Cup▁twice▁in▁a▁row,▁as▁the▁Stanley▁Cup▁is▁associated▁with▁ice▁hockey,▁not▁field▁hockey
Which▁is▁bigger,▁a▁beagle▁or▁a▁basset? model A▁beagle▁is▁generally▁bigger▁than▁a▁basset▁hound.▁Beagles▁typically▁weigh▁between▁twenty▁to▁thirty▁pounds▁and▁stand▁about▁thirteen▁to▁fifteen▁inches▁tall▁at▁the▁shoulder.▁In▁contrast,▁basset▁hounds▁usually▁weigh▁around▁twenty-five▁to▁forty▁pounds▁but▁are▁shorter,▁standing▁about▁fourteen▁to▁fifteen▁inches▁tall.▁Thus,▁while▁basset▁hounds▁can▁be▁heavier,▁beagles▁tend▁to▁be▁taller▁on▁average
Should▁I▁ask▁my▁partner▁to▁marry▁me? model Deciding▁to▁ask▁your▁partner▁to▁marry▁you▁is▁a▁significant▁step▁that▁involves▁considering▁your▁feelings▁for▁each▁other,▁your▁relationship’s▁growth,▁and▁your▁future▁together.▁Think▁about▁the▁moments▁you've▁shared,▁your▁conversations▁about▁commitment,▁and▁how▁you▁both▁envision▁your▁lives▁together.▁If▁you▁feel▁confident▁in▁your▁connection▁and▁believe▁they▁would▁share▁your▁desire▁for▁a▁lifelong▁partnership,▁it▁may▁be▁the▁right▁time▁to▁take▁this▁beautiful▁step.▁Trust▁your▁instincts▁and▁remember,▁this▁is▁about▁love▁and▁a▁shared▁future