- 125
- 359 475
MATH ZONE
Pakistan
เข้าร่วมเมื่อ 1 ก.ย. 2017
Education for all
Open Sphere | Open sphere on a real line R is an open interval but converse may not be true
00:15 What is Open sphere?
04:11 Show that open sphere on a real line R is an open interval but
07:56 an open interval may not be an open sphere.
09:04 Show that an open sphere of radius less than or equal to one in a discrete metric space contains only its center.
12:24 Show that an open sphere of radius greater than one in a discrete metric space is the full space.
What is Open ball?
Show that an open ball of radius less than or equal to one in a discrete metric space contains only its center.
Show that an open ball of radius greater than one in a discrete metric space is the full space.
04:11 Show that open sphere on a real line R is an open interval but
07:56 an open interval may not be an open sphere.
09:04 Show that an open sphere of radius less than or equal to one in a discrete metric space contains only its center.
12:24 Show that an open sphere of radius greater than one in a discrete metric space is the full space.
What is Open ball?
Show that an open ball of radius less than or equal to one in a discrete metric space contains only its center.
Show that an open ball of radius greater than one in a discrete metric space is the full space.
มุมมอง: 362
วีดีโอ
Minkoski's Inequality
มุมมอง 93ปีที่แล้ว
Proof of Minkoski's Inequality. Proof of Minkoskis Inequality.
Cauchy Schwarz Inequality
มุมมอง 319ปีที่แล้ว
Proof of Cauchy Schwarz Inequality. Proof of Cauchy-Schwarz Inequality.
What is Metric Space? | Geometrical Interpretation | Examples of Metric Space
มุมมอง 165ปีที่แล้ว
00:08 Define Metric Space 05:24 Geometrical Interpretation of metric space Examples of Metric Space 09:14 Example 1 13:29 Example 2 19:24 Assignment Geometrical meaning of metric space Show that |x-y| is a metric space. Euclidean Metric Space
Regular Space | Every Subspace of a Regular Space is Regular | Regular Space is not Hausdorff Space
มุมมอง 1.6Kปีที่แล้ว
00:18 What is Regular Space? 01:32 Give an example to show that a regular space need not be a Husdorff space. 05:15 Show that every subspace of a regular space is regular. Define Regular Space. Regular space need not be a T_2 Space. Regular space may not be a Husdorff space.
Compact Space | Every Compact Subspace of Hausdorff Space is Closed
มุมมอง 8Kปีที่แล้ว
What is Compact Space? Show that every compact subspace of a Hausdorff Space is closed
Every Hausdorff Space is T1 Space But Converse May Not Be True | Topology
มุมมอง 7K2 ปีที่แล้ว
00:44 Show that every Hausdorff space is T1 space but converse may not be true. 10:38 Show that every subspace of Hausdorff space is Hausdorff Show that every T2 space is T1 space but converse may not be true. Show that every T_2 space is T_1 space but converse may not be true. Show that every subspace of T2 space is T2 space Show that every subspace of T_2 space is T_2 space
Hausdorff Space | Every Metric Space is Hausdorff Space
มุมมอง 4.4K2 ปีที่แล้ว
00:18 What is Hausdorff Space? 01:12 Show that every metric space is Hausdorff Space T2 space T_2 space Show that every metric space is T2 space Show that every metric space is T_2 space #Topology
A Topological Space is a T1 Space iff its Each Singleton Subset is a Closed Set | Topology
มุมมอง 5K2 ปีที่แล้ว
00:12 A Topological Space is T1 Space if and only if its each singleton subset is closed set 08:31 A Topological Space is T1 space if and only if its each finite subset is a closed set What is T1 Space? th-cam.com/video/8kxvn_Jru2Y/w-d-xo.html A Topological Space is T_1 space if and only if its each singleton subset is closed set A Topological Space is T one space if and only if its each single...
T1 Space | Every Subspace of T1 Space is T1 Space | Topology
มุมมอง 2K2 ปีที่แล้ว
00:20 What is T1 Space? 03:57 Every Subspace of T1 Space is T1 Space Every Subspace of T_1 Space is T_1 Space What is T_1 Space? Every Subspace of T one Space is T one Space What is T one Space? #Topology
T naught Space | Every Two point coffinite topological space is T naught space
มุมมอง 9783 ปีที่แล้ว
00:08 What is To Space? 03:05 Show that Every Two point coffinite topological space is To space Every countable topological space is To Space What is T_o Space? What is T_0 Space? What is T0 Space? #Topology
Lindelof Theorem | Every Separable Metric Space is Second Countable | Topoology
มุมมอง 9K3 ปีที่แล้ว
00:21 Proof of Lindelof Theorem 05:42 Show that every separable metric space is second countable
Separable Space | Every Second Countable Space is Separable
มุมมอง 22K3 ปีที่แล้ว
What is Separable Space? Show that every second countable space is separable. #topology
Every Second Countable Space is Lindelof Space | Topology
มุมมอง 11K3 ปีที่แล้ว
Show that every second countable space is Lindelof space. Theorem used in this video th-cam.com/video/GiNFKbE3SXk/w-d-xo.html For Complete series of lectures on topology th-cam.com/play/PLflQc8I-IV4TlkBG6t5roQOFAMagWzWHi.html #Topology
Open Cover | Lindelof Space | A Closed Subspace of Lindelof Space is Lindelof
มุมมอง 4.2K3 ปีที่แล้ว
You can directly jump to any of the following topics using time stamps 00:40 What is Open Cover? 02:14 What is Sub Cover? 03:27 What is Lindelof Space? 04:06 Show that a Closed Subspace of Lindelof Space is Lindelof. Open Cover Open Subcover Sub-Cover Open Sub-Cover Lindelof Space Theorem related to lindelof space #Topology
First Countable Space | Second Countable Space | Every Second Countable Space is First Countable
มุมมอง 20K3 ปีที่แล้ว
First Countable Space | Second Countable Space | Every Second Countable Space is First Countable
What is Subbase? | What is Local Base or Neighborhood Base? | Topology
มุมมอง 1.9K3 ปีที่แล้ว
What is Subbase? | What is Local Base or Neighborhood Base? | Topology
Theorem Related to Open Base in a Topology
มุมมอง 4K3 ปีที่แล้ว
Theorem Related to Open Base in a Topology
Real Line R and Open Interval (-1,1) are Homeomorphic | Homeomorphism | Topology
มุมมอง 10K3 ปีที่แล้ว
Real Line R and Open Interval (-1,1) are Homeomorphic | Homeomorphism | Topology
Closed Mapping | A Bijective Mapping is Closed iff its Inverse is Continuous
มุมมอง 9423 ปีที่แล้ว
Closed Mapping | A Bijective Mapping is Closed iff its Inverse is Continuous
A Continuous Mapping May or May Not be Open | Open Mapping
มุมมอง 2.4K3 ปีที่แล้ว
A Continuous Mapping May or May Not be Open | Open Mapping
Restriction Of a Continuous Function is Also Continuous | Topology
มุมมอง 1.6K3 ปีที่แล้ว
Restriction Of a Continuous Function is Also Continuous | Topology
Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]
มุมมอง 1.6K3 ปีที่แล้ว
Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]
Analyze and Graph the Conic | How to Graph Parabola?
มุมมอง 383 ปีที่แล้ว
Analyze and Graph the Conic | How to Graph Parabola?
What is Hyperbola? | How to drive equation of Hyperbola?
มุมมอง 493 ปีที่แล้ว
What is Hyperbola? | How to drive equation of Hyperbola?
What is Ellipse? | How to Drive Equation of Ellipse?
มุมมอง 413 ปีที่แล้ว
What is Ellipse? | How to Drive Equation of Ellipse?
Jhakkas explanation 🎉🎉
❤❤❤❤❤❤ Very nice👏👏👏👏😊😊 sir you are great
😊😊
Sir aap punjabi ho?
Great sir bot acha samjia AP na ❤❤❤
❤
Thank you sir 🙏
Nice method using theorom😂
Awesome explanation 😊❤
Jai Shree Ram Bhai video aacha bana rhe ho lage raho aacha samjhaye ho 👏
Let x ∈ R. Prove that for every n ∈ N, 3r∈Q:x-r<1/n
💯
Thanks sir
Sir kisi or sir na b 2018 sa la kr 2024 tak Sara solved paper dala ha but Ap ka sol itna easy ha ka m waha sa kr rai but Ap na baki years ka ni dala😢magr thanks Ap k videos ka liya ❤❤❤
Thank you so much 😊
Thanks
Thanks
Hare Krishna 🙏 Please read Srimad Bhagavad Gita 🙏
Addition ofrational and irrational number is irrational
One doubt how you operate tan^-1 while you don't know function is bijective
thanks
Masha'Allah,,, Excellent,, Sir
❤tq sir 😊
Great way to teach 🙌 👏 ❤
thank you
❤❤❤
Dear ap upper f(x) +|f(x) | yeh ly k chaly ho aur bad main negative ket dia....
Thanks to you, I understood the concept of lock and at the same time open, mapped in a function, I hope my like is enough for the moment, excellent video.
Wrong explanation because we have to check for different x values f(x) First step itself wrong
Very nice Concept is successfully delivered sir g.
Yrr or lectures to dalty Sirf 4 topics
Sir, please share with me no
Thank you sir, Could you solve Prove that there's no rational whose cube is 3, Square is 8 and 12
Something is mistake in last 2 or 3 line ....
Very helpful ❤
Nice class sir 👍🏻 , samjh aa gaya. Thanks 😊
Sir agr two points le len [a,b] ky darmayan
Thanks Sir ❤
Sir ap konci book sy pahra rhy hyn
Sir wo proof krwa da theorem
Sir condition to ya hoti ha ky n>2
tnx
define closed space
Thank you so much sir ji
Good man thank you so much
Very nice lecture
TQ so much sir ji
Good solvation
Jai shree ram